Department of Mathematics

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About Department

Department of Mathematics laid down its foundation jointly with the department of statistics and later on established as a separate PG department in the university campus. Department has taken the leadership to implement PG courses in the field of Computer Science. The Department is well equipped with computational facilities and library. The five full-time resourceful faculty members actively engage in research. Core areas of the research are Numerical Analysis fluid Mechanics, Megneto-hydrodynamics, Approximation Theory, Computational Techniques, Applied Functional Analysis, Number Theory, Bio-Fluid Dynamics, and Optimization Techniques. The students of the department are actively participates in the various academic and co-curricular activities indicates our scientific excursion.

Vision

The vision of Department of Mathematics is

to produce leaders in Mathematics at institutional, state and national level

to become a leading department in the country

to establish reputation as a centre for research and teaching in mathematics

Mission

In pursuance of our vision, Department offers its programme through well designed curricular, co-curricular and extra-curricular activities. Theseimpart positive and lasting impact on our students so as to equip them with the conceptual understanding, computational skills, and persistent disposition required to use reasoning and analysis effectively in their personal and professional lives.
In fulfilment of our vision, the department creates an environment where the students and faculty can continue to grow as teachers and scholars, while providing public and professional service.We also aim to promote opportunities for close interaction between students and faculty, both within and beyond the classroom, including student mentoring and research opportunities.

▶ Department of Mathematics
Department of Mathematics Veer Narmad South Gujarat University
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M.Sc.(Mathematics)

M.Sc.(Mathematics)

Syllabus Download




Objective Of Program

The core objective of the M.Sc. Mathematics programme is to prepare the students for productive career in Education sector and academia by providing an outstanding environment of teaching and research in the core and emerging areas of the discipline.

Program Outcome

PO1. Provides knowledge of fundamentals of pure and applied mathematics.
PO2. Provide information about applications of Mathematics to the students that creates the opportunities in education , research centres and industries.
PO3. Provide strong foundation of mathematics to formulate, analyze and problem solving for advanced study and research.
PO4. Continue to acquire relevant knowledge and skills appropriate to professional activities and demonstrate highest standards of ethical issues in mathematical sciences.
PO5. Develop need based Mathematics teaching-learning resources.
PO6. Professionally inclined Mathematics educators who have sound knowledge of subject matter and specialized in constructivist & alternate pedagogy

Intake

Grant in Aid (GIA) : 63
HP : 13
Self-financed (SFI) :150

Program Duration

2 years (4 Semesters)

M.Sc.(Mathematics) Semester - I ▾
Course Code Course Title Outcome Credit
PGMTH- 101 Real Analysis-1

CO1. To develop an in-depth mathematical understanding of the theory of Real Analysis and Students will be able to give rigorous proofs of many theorems of real analysis.
CO2. They will be able to use these theorems to solve problems.
CO3. Ability to handle convergence of series and sequence of functions.
CO4. Ability to differentiate functions in Rn

 4
PGMTH-102 Complex Anaysis-I

CO1. In this course students will learn the algebra and geometry of complex numbers,
CO2. students should be able to check differentiability and the analyticity of complex valued function,
CO3. Student will learn Cauchy-Riemann relations and harmonic functions
CO4. Cauchy integral formula, general form of Cauchy theorem.
CO5. Fundamental theorem of Algebra, Maximum module Principle
CO6. Contour integrals related theorem and Examples.

 4
PGMTH=103 Topology-I

CO1. Students should be able to define topology and its construction.
CO2. Distinguish open and closed subset, Notions of connectedness and compactness.
CO3. Students will learn various properties of compact spaces
CO4. Distinguish Cover, Sub-cover, open cover, Basic and sub-basic open cover
CO5. Topological Spaces, compact spaces and connected spaces.

 4
PGMTH-104 Abstract Algebra-1

CO1. Acquaintance with the fundamental algebraic structures, namely Groups, Rings, Fields and Vector spaces.
CO2. Students will learn about Group theory, ring theory and modules.
CO3. students should be able to apply the conceptual structure of group theory
CO4. Distinguish Group and Ring
CO5. Distinguish Fields , Vector space, modules
CO6. To gain skill in problem solving and critical thinking.
CO7. Essential for further study of Algebra.

 4
PGMTH-105 Ordinary Differential equations-1

CO1. Students will learn about differential equations and its classifications.
CO2. Students should be able to classify nature of solutions for the second order linear differential equation, Existence of solutions of differential equations.
CO3. Students will learn the methodology to solve second order ordinary differential equations.
CO4. Understand the concept of Method of variation of parameters
CO5. Able to use Method of Laplace transforms.

 4
PGMTH-106 Numerical Anlysis-1

CO1. Students will able to find roots of equations/nonlinear equations.
CO2. Learn about the concept of Eigen values and Eigen vectors.
CO3. Learn about theory of interpolations.
CO4. Various interpolation method.
CO5. Implementing numerical methods algorithms.

 4
M.Sc.(Mathematics) Semester - II ▾
Course Code Course Title Outcome Credit
PGMTH- 201 Real Analysis-II

CO1. Summarize concepts of real analysis to enhance ability of analysing pure and applied mathematical problems.
CO2. Students will be able to give rigorous proofs of many theorems of convergence theorem related to Lebesgue integral.
CO3. Also they will be able to use these theorems to solve problems.
CO4. students should be able to appreciate the niceties provided by Lebesgue Integration theory.
CO5. LP Spaces, The Minkowski and Holder inequalities.

 4
PGMTH-202 Complex Anaysis-II

CO1. Students will learn about properties of power series
CO2. students should be able to find and classify Singularities,
CO3. Evaluation of residues and improper real integrals, Identify zeros and singular points of functions.
CO4. The will study about binomial transformations. Exponential Transformation, Trigonometric Transformation.
CO5. Upon completion of this unit, the student will be able to: Evaluate Complex integrals by applying Cauchy integral formula and various methods.

 4
PGMTH=203 Topology-II

CO1. Students will understand separation axioms.
CO2. Know about connected spaces and its properties
CO3. Having a grasp on basic results related to connectedness.
CO4. Student will distinguish and learn about Component of space, Totally Disconnected Space, locally connected space.

 4
PGMTH-204 Abstract Algebra-II

CO1. Summarize concepts of field theory to enhance ability of analysing pure and applied mathematical problems.
CO2. students should be able to play around fields and field extensions in a mathematical mature way.
CO3. They will also be able to appreciate role of algebra in solving some old classical problems of algebra.
CO4. Distinguish between Extension fields and Finite extension field and splitting fields
CO5. Distinguish between Algebraic extension, Algebraic number.
CO6. the student will be able to: Demonstrate Field extensions and characterization of finite normal extensions as splitting fields and study prime fields.
CO7. the student will be able to: Understand cyclotomis polynomials, cyclic extensions, Radical field extensions and Ruler & Compass constructions. Know the important applications of Galois Theory.

 4
PGMTH-205 Ordinary Differential equations-II

CO1. Identify the essential characteristics of Systems of first order Linear Differential Equations
CO2. Know about the existence and uniqueness of solutions.
CO3. Students should be able to solve system of linear differential equations.
CO4. Concept of fundamental Matrix.
CO5. Know about approximate method.

 4
PGMTH-206 Numerical Anlysis-II

CO1. Students will learn about Numerical differentiations and Integrations
CO2. Students will learn Single step methods, Multistep methods with Stability analysis .
CO3. Students should be able to apply various numerical methods available for different kinds of Initial value and boundary problems.
CO4. Students can be able to use suitable numerical methods for IVP and BVP.
CO5. They learn Shooting method, Finite difference methods.

 4
M.Sc.(Mathematics) Semester - III ▾
Course Code Course Title Outcome Credit
PGMTH-301 Functional Analysis-I

CO1.Students will learn properties of Banach spaces, 2.Normed spaces, and inner product spaces
CO3.Linear operators, bounded linear operator.
CO4. Difference between finite and infinite dimensional space, Banach space and Hilbert space
CO5. Computing the dual spaces of certain Banach spaces
CO6. Students will be able to appreciate the power of classical results of Functional Analysis.

 4
PGMTH-302 Differential Equations

CO1. Students will learn about the paffian differential equations and its applications.
CO2. Integral Surfaces Passing through a Given Curve, Surfaces Orthogonal to a Given System of Surfaces,
CO3. Nonlinear Partial Differential Equations of the First Order, Compatible Systems of First-order Equations, Charpit's Method,Jacobi's method
CO4. They study about applications of separation of variable method.
CO5. After successful completion of the course, students should be able to find the solutions of first and second order linear and non-linear partial differential equations.

 4
PGMTH-303 Calculus of Variations

CO1. Students will learn about the concept of Variations and its properties,
CO2. Functionals and its properties
CO3. Study Variational problem with a movable boundary for a functional dependent on two functions, One-Sided Variations, Reflection and Refraction
CO4. After successful completion of the course, students should be able to solve variational problems.

 4
PGMTH-304 Advanced Linear Algebra-I

CO1. Students will learn about properties of Vector space, Dual space, Algebra of linear transformations, Algebra of Matrices.
CO2. Determine a subspace, span, bases, row space ,column space and null space for vector space in nth dimension
CO3. identify linear transformations of finite dimensional vector spaces and compose their matrices in specific bases.
CO4. After successful completion of the course, students should be able to analyse the problems related to Linear a

 4
PGMTH3001 Fluid Dynamics

CO1. Students will learn about basic fundamentals of fluid dynamics such as Conservation Laws, Conservation of mass, momentum and energy.
CO2. Distinguish One dimensional, two dimensional and three dimensional flow.
CO3. Student will learn about Bernoulli Equation, Potential equation, Reynold’s transport theorem, Navier-stokes equation.
CO4. They familiar with the fluid statics, kinematics of fluid and dynamics of fluid.
CO5. Enhance ability of analyzing mathematical problems related to Fluid dynamics.

 4
PGMTH3002 Mathematical Software 4
PGMTH3003 Linear programming

CO1. Students will learn fundamentals of Linear Programming, Dynemic programming, Integer programing and sensitivity analysis.
CO2. Able to: Convert standard business problems into linear programming problems and can solve using simplex algorithm.
CO3. Students should be able to Identify and develop Linear programming problem of operational research models from the verbal description of the real System.
CO4. Formulate and solve a linear programming problem by simplex method.
CO5. They are able to apply Revised simplex method, Dynamic programming, Branch and Bound Techniques.

 4
PGMTH3004 PGMTH3004

CO1. Students will learn about inventory problem, PERT-CPM technique, Transportation problem and simulations
CO2. The student will be able to: Formulate and solve the Transportation problem.
CO3. The student will be able to solve LPP by PERT-CPM method
CO4. Students should be able to explore various Mathematical programming algorithms to solve real life problems.

 4
PGMTH3005 Integral Transforms-I

CO1. Students will learn about the basics of Laplace Transforms, Inverse Laplace Transforms, Finite Laplace Transforms
CO2. An application of Laplace transforms.
CO3. Students are able to solve the Ordinary and partial differential equations using Laplace transforms.
CO4. Students are able to solve Initial and boundary value problems and Integral equations.

 4
PGMTH3006 Advanced Integral Transforms-I

CO1. Students will learn about Hankel transform, Finite Hankel transforms ,
CO2. Also learn Hilbert and Stieltjes transforms.
CO3. Students will learn applications of all these transformation
CO4. Students are able to solve the partial differential equations using Hankel transforms.
CO5. Students are able to solve various differential equations using Hilbert and Stieltjes transforms.

 4
PGMTH3007 Advanced Number Theory-I

1. Students will learn about Primitive roots and Indices,
CO2. The Quadratic Reciprocity Low,
CO3. Fibonacci numbers and its properties.
CO4. Able to solve problems and theorems of number theory.

 4
PGMTH3008 Analytic Number Theory

CO1. Students know about Arithmetic functions, Dirichlet multiplication and elementary theorems on Prime numbers.
CO2. Chebyshev’s functions, divisor functions 𝑑(𝑛) , Mangöldt function, Abel’s identity
CO3. Students are able to analyze the number theoretic problems.

 4
PGMTH3009 Special Functions-I 4
PGMTH3010 Advanced Special Functions-I

CO1. Students will learn about Generalized Hypergeometric functions,
CO2. Study about Bessel Functions and its various properties, the Confluent Hypergeometric function and its application.
CO3. Concept of Generating functions and its utilization
CO4. Enhance the ability to prove the complicated theorem.

 4
M.Sc.(Mathematics) Semester - IV ▾
Course Code Course Title Outcome Credit
PGMTH-401 Functional Analysis-II

CO1. Students should be able to appreciate the Hilbert space theory and the Hahn-Banach Theorem. They will also have close encounter with normal, unitary and self adjointoperators .
CO2. The student will be able to: Characterize the category of normed spaces using Category theorem and differentiate weak and pointwise convergence of linear operators.
CO3. Upon completion of this unit, the student will be able to: Demonstrate Spectral properties of Bounded Linear Operators
CO4. The student will be able to: Understand Banach algebras, Demonstrate spectral properties of compact linear operators.
CO5. The student will be able to: Study Operator equations involving Compact linear operators.

 4
PGMTH-402 Differential Geometry

CO1. Students will learn about Curvatures, tangent, Involutes, Evolutes and developable surfaces.
CO2. To be able to compute the curvature and torsion of space curves.
CO3. To be able to understand the fundamental theorem for space curves
CO4. Students should be able to build up Geometry Intuition by incorporating classical curves and related results along with this course.

 4
PGMTH-403 Integral Equations

CO1. Students will learn about Integral equations and related results and theorems.
CO2. Students should be able to classify the Integral equations
CO3. They are able to apply the methods and concepts to solve integral equations.
CO4. Students will be able to recognize difference between Volterra and Fredholm Integral Equations, First kind and Second kind, homogeneous and inhomogeneous etc.
CO5. They apply different methods to solve Integral Equations.

 4
PGMTH-404 Advanced Linear Algebra-I

CO1. Students will learn about Canonical forms , Linear transformations related with matrix theory.
CO2. Apply principles of matrix algebra to linear transformations.
CO3. Demonstrate understanding of inner products and associated norms
CO4. Students should be able to solve problems related to matrices and linear equation, to follow complex logical arguments and develop modest logical arguments.

 4
PGMTH4001 Computational Fluid Dynamics

1. Students will learn about various methods for solving Heat equations,
CO2. Wave equations, Laplace equations and poison equations.
CO3. Should be able to solve any Partial differential equations related to fluid dynamics using mathematical software and promming.
CO4. Provide the student with a significant level of experience in the use of modern CFD software for the analysis of complex fluid- flow systems.
CO5. Improve the student’s understanding of the basic principles of fluid mechanics.
CO6. Improve the student’s research and communication skills using
COa self-directed, detailed study of a complex fluid-flow problem and to communicate the results in written form.

 4
PGMTH4002 Mathematical Modelling 4
PGMTH4003 Non-Linear programming

CO1.Students will learn about various non-linear programming methods and optimization methods.
CO2. Students are able to solve any real life problems through non-linear programming .
CO3. Enhance the ability to analyze the industrial problems

 4
PGMTH4004 Advanced Operation Research

CO1. Students will learn about Queuing theory related problems
CO2. Students will learn about sequencing problems and its solution process
CO3. Students will learn about Theory of replacement and its utilities
CO4. Students will learn about Games and strategies and its applications
CO5. Students are able to formulate and analyse the real world problems.

 4
PGMTH4005 Integral Transforms-II

CO1. Students will learn about complex Fourier transforms and its properties
CO2. Students will learn about Fourier cosine and sine transforms and its properties
CO3. Students will learn about Finite Fourier , finite forier cosine and sine transforms and its properties
CO4. Students should be able to solve partial differential equations by these transforms.

 4
PGMTH4006 Advanced Integral Transforms-II

CO1. Students will learn about Mellin transforms and its properties
CO2. Students will learn about Z-transforms and its propertie
CO3. Students will learn about Inverse Z transforms and its properties
CO4. Students will learn about applications of all these transformations
CO5. Students should be able to solve difference equations

 4
PGMTH4007 Advanced Number Theory-II

CO1. Students will learn about continued fractions,
CO2. Students will learn about Diophantine equations and its properties
CO3. Representation of integers as sum of squares and its applicability
CO4. Enhance the logical ability of the students

 4
PGMTH4008 Introduction to Partition Theory and Cryptography

CO1. Students will learn about Partition theory and Cryptography
CO2. Enhance the logical ability of the students
CO3. Enhance the ability to use the partition theory and cryptography in real life applications.

 4
PGMTH4009 Special Functions-II 4
PGMTH4010 Advanced Special Functions-II

CO1. Students will learn about Laguerre polynomials and its properties
CO2. Students will learn about Jacobi polynomials and its properties,
CO3. Students will learn about Elliptic functions and its properties.
CO4. Perform operations with orthogonal polynomials, Legendre’s polynomial and Laguerre polynomial with their differential equations along with the corresponding
CO5. Students should be think logically in specific direction

 4

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Grant in Aid (GIA) Higher Payment Self Finance (SFI)
Boys Rs. 4435/- Rs. 19435/- Rs. 19435/-
Girls Rs. 1935/- Rs. 16935/- Rs. 16935/-

*Subject to Revision Periodically

M. Sc. Mathematics (Evening)

M.Sc. Mathematics (Evening)

Syllabus Download




Objective Of Program

Program Outcome

Intake:75

Program Duration

2 years (4 Semesters)

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Self Finance (SFI)
Boys Rs. 19435/-
Girls Rs. 16935/-

*Subject to Revision Periodically

Ph.D. (Mathematics)

Ph.D (Mathematics )

Syllabus Download




Objective Of Program

Ph.D. Programme in Mathematics is aimed towards promoting good research useful to the society through knowledge of Mathematics. The researcher will be able to various types of research projects in the benefit of society.

Intake

Depends on availablity of the supervisor

Ph.D. (MATHEMATICS) Course Work ▾
Course Code Course Title Outcome Credit
Paper-1 Research Methodology
  • CO1: Students will get comprehensive knowledge of computer programming language.
  • CO2: Students will learn about Numerical differentiations and Integrations.
  • CO3: Students will learn about toidentify Inventory problem, Transportation problems.
  • CO4: Students will learn about Hankel transform, Finite Hankel transforms and its applications.
  • CO5: Students will learn about Gamma and Beta Functions.
 4
Paper-2 Fundamental of Mathematics
  • CO1: Students will learn about Complex Analysis and Real Analysis
  • CO2: Students will learn about Algebra and Linear Algebra
  • CO3: Students will learn about Ordinary and Partial Differential Equations
  • CO4: Students will learn about Mathematical Methods
  • CO5: Students will learn about to analyse the problems of various fields
 4
Paper-3 Special paper(Select any one of the following papers ) I. Methods of weighted Residules and collocation method
  • CO1: Students will learn about Collocation method.
  • CO2: Students will learn about Sub-domain method.
  • CO3: Students will learn about Least Squares method.
  • CO4: Students will learn about Galerkin method and Method of moments.
  • CO5: Students will able to solve Boundary Value Problems
 4
Paper-3 II. Symmetries of Differential Equations
  • CO1: Students will learn about basics of Dimensional Analysis.
  • CO2: Students will learn about Mathematical modelling.
  • CO3: Students will learn about to use Buckingham Pi-Theorem
  • CO4: Students will learn about assumptions of Dimensional Analysis.
  • CO5: Students will learn about applications of Dimensional Analysis.
 4
Paper-3 III. Symmetries of Differential Equations
  • CO1: Students will learn about Shooting method
  • CO2: Students will learn about Derivative boundary conditions
  • CO3: Students will learn about Rayleigh-Ritz, Galerkin methods,
  • CO4: Students will learn about the Finite-Element method
  • CO5: Students will learn to apply methods.
 4
Paper-3 IV. Elements Number Theory
  • CO1: To make students familiar with the historical works.
  • CO2: To make students familiar with the basic concepts of divisibility, congruences and prime numbers.
  • CO3: To make them learn methods of computation in number theory and investigate conjectures.
  • CO4: To show the importance and uncertainty of conjectures.
  • CO5: To solve number-theoretical problems and answer conceptual questions.
 4

Eligibility Criteria

Master Degree in Mathematics.

Admission Details

Admission is on the basis of the UGC NET/JRF, GSET & result of entrance test conducted by University and followed by presentation of research proposal before the Research Advisory Committee (RAC).

Reservation Policy

As per University norms

Fee Structure *

*Subject to Revision Periodically

Vibrant and Conducive Atmosphere for Research

The Department of Mathematics, VNSGU, Surat has a favourable environment and considerable research footprint for research related activities. The department supports around 25 doctoral students.
We are proud of the breadth and depth of innovative and enterprising research currently taking place within the department. The research activities of the Department focus on the following topics: spline theory, number theory, combinatorics, recreational mathematics, fluid dynamics, differential equations, numerical analysis, mathematical modelling, computational fluid dynamics and image processing.
The faculty members, doctoral students and researchers of the Department have published several research articles in leading national and international journals including journals with high impact factor which are among the leading journals of the respective research areas.
It should also be noted that works of faculty members, doctoral candidates and researchers of the Department have been presented at the national and international conferences. Another element that emphasizes the presence of the department in the international academic community is that faculty members are members of editorial boards of many national and international journals.
Department also supports organized research which is separately budgeted and accounted for. One of the doctoral research students of the department has received WOS-A Research Fellowship of DST (Kiran division), which is the first fellowship achieved by any doctoral student of the department.
Department also has its own research advisory committee and individual research review committees for each doctoral student. These committees keep an eye on the progress of doctoral students and ensure that quality research work is carried out by them. Finally, the faculty member of the Department has received national as well as international awards for the research work carried out.







Details since 2015

  1. A new approach to solve Integro differential equation: A cubic Legendre Spline collocation method, B. M. Pandya and D. C. Joshi, Proceedings of International Conference on- Emerging Trends in Scientific Research(ICETSR – 2015) ., 978-2-642-24819-9, , 184-188, 17,18 December, 2015
  2. A cubic Legendre spline collocation method to solve Volterra-FredholmIntegro differential equation, , B. M. Pandya and D. C. Joshi,, IEEE-International Conference on Electrical , Electronics, and Optimization Techniques(ICEEOT- 2016) pp.2143 - 2146, 978-1-4673-9939-5/16/, , 2143 - 2146, 3-5 March 2016
  3. A Quartic Legendre spline collocation method to solve Fredholmintegro differential equation, B. M. Pandya and D. C. Joshi,, Proceedings International conference on Futuristic trends in Engineering, Science, Humanities, and Technology (FTESHT-16) January 23-24,2016 ,, 978-93-85225-55-0, 1, 114-118, January 23-24,2016
  4. Taylor collocation solution of Changeable MHD free convective flow and heat transfer along a vertical porous plate eith variable suction and Internal heat generation. , Pragna Mistry and D. C. Joshi, International Journal of Advance Engineering and Research Development. , e-ISSN : 2348-4470 print-ISSN : 2348-6406, Vol.3(2), 230-235, February-2016
  5. B Spline Collocation approach for the Solution of Boundary Layer Convective Heat Transfer Flow over a Flat Plate, Pragna Mistry, D.C. Joshi, , International Transactions in Mathematical Sciences and Computers” Volume 9 No.1 -2 pp. 28-39, 2016, ISSN-(Printing) 0974-5068, (Online) 0975-3753, Volume 9 No.1 -2, 28-39, 2016
  6. Comparison Of Numerical Results A Boundary Layer Problem Of A Free Convection Over A Vertical Plate With A Variable Wall Temperature And Internal Heat Generation In A Pours Medium Saturated With A Non – Newtonian Fluid, Pragna Mistry, D.C. Joshi, , International Journal of Computer & Mathematical Sciences,, ISSN:2347 – 8527, 6(7), 55-65, 2017
  7. Prediction of plastic zone size under mode II loading of SA333 steel under cyclic loading , Krupa H. Desai and D. C. Joshi, Proceedings- International Conference on: Engineering : Issues, opportunities and Challenges for Development , 09th April,2016, ISBN No. 978-81-929339-3-1, , , 09th April, 2016
  8. Prediction of masing behavior of SA333 steel under uniaxial cyclic loading,, Krupa H. Desai and D. C. Joshi, Proceedings- International Conference on: Engineering : Issues, opportunities and Challenges for Development , 09th April,2016, ISBN No. 978-81-929339-3-1, , 1-8, 09th April, 2016
  9. B-spline collocation approach to a boundary layer Flow with thermal radiation past a moving vertical porous plate, PP. 13-19, Pragna Mistry and Dr. Dilip Joshi,, International Journal of Advanc Research in Engineering, Science & Technology, Vol. 3 (6), June-2016, e-ISSN : 2393-9877, p-ISSN : 2394-2444, Vol. 3 (6), 13-19, June-2016
  10. Prediction of Plastic One Size for Mode IILoading of Bimaterial Cracked Plate under Cyclic Loading ., , International Journal of Science Technology & Engineering , ISSN (online): 2349-784X, 3(2), 67- 71, August 2016
  11. Qualitative Feedback Data Analysis Using Principal Component Analysis Technique, Taylor B. R. and Joshi D. C. , VNSGU JOURNAL OF SCIENCE AND TECHNOLOGY, Vol.6. No. 1 , Jul 2018 1 - 6 ,, ISSN : 0975-5446, 1, 1-6, Jul 2018
  12. , Finite Difference Scheme For Image Segmentation: Active Contours, Jadav Rajesh A. and Joshi D. C., VNSGU JOURNAL OF SCIENCE AND TECHNOLOGY, Vol.6. No. 1 , Jul 2018 pp. 7 - 12 ,, ISSN : 0975-5446, 1, 7-12, Jul 2018
  13. Math-Psycho Model for Recognition of an Emotion of an Individual Human Being., Patel Mukesh T. and Joshi D. C. , VNSGU JOURNAL OF SCIENCE AND TECHNOLOGY, Vol.6. No. 1 , Jul 2018 pp. 13 - 27, ISSN : 0975-5446, 1, 13-27, Jul 2018
  14. Reduced Differential Transform Method to Study the Mathematical Model of Tumor Invasion and Metastasis,, Khushbu D. Patel, D. C. Joshi, International Journal of Research in Advent Technology, E-ISSN: 2321-9637, Vol.7, No.2,, 859-866, February 2019
  15. Modified Differential Transform Method to Study Reaction Diffusion Mechanism of Carcinogenic Polycyclic Aromatic Hydrocarbon in Mammalian Cell Including Perinuclear Membrane, Khushbu D. Patel, D. C. Joshi,, International Journal on Emerging Technologies , , (Print): 0975-8364 (Online): 2249-3255, 10(4), 145-152, , 2019
  16. Study of Malignant Tumour Growth based on Dynamics of Cell Cycle by Modified Differential Transform Method, Khushbu D. Patel, D. C. Joshi, The International journal of analytical and experimental modal analysis , 2673-2678 , Volume XI, Issue X, 2673-2678 , Oct-19
  17. Numerical Solutions of Second Order Boundary Value Problems by Hermite Polynomial Methods, Pragna Mistry, Mihir Prajapati, Nitin Patel, D.C. Joshi, , International Journal of Advance Engineering and Research Development , ISSN: 2348-6406., 7(4):, 32-36, 2020
  18. Numerical solution of burgers' equation in a one-dimensional groundwater recharge by spreading using b-spline collocation method, Nilesh Sonara, N. B. Desai, D. C. Joshi, Online International Conference on “Continuity, Consistency and innovation in Applied Science and Humanities Organized by Depart of Mathematics , St. Martin’s Engineering College, Dhulapally, Secunderbad, India,, 978-93-88096-42-3, , , August, 2020
  19. Numerical solutions of second order boundary value problems by Hermite Polynomial method, Mihir Prajapati, D. C. Joshi, International Journal of Advance engineering and research Development (IJAERD) , (online)2348-4470 (prit)2348-6406, Vol.7, Issue 4, , April-2020
  20. Numerical solutions of Burgers’ equation in a one-dimensional ground water recharge by spreading using b-spline collocation method, N. C. Sonara, N. B. Desai, D. C. Joshi,, Kala Sarovar , ISSN:0975-4520, Vol.-23, No.02, 168-175, December 2020
  21. B-Spline Collocation Solution of One Dimensional Nonlinear Differential Equation Arising in Homogeneous Porous Media, N. C. Sonara, N. B. Desai, D. C.Joshi , Turkish Journal of Computer and Mathematics Education , e-ISSN 1309-4653 , Vol.12 No.6, 5544-5552, 2021
  22. Right k-Fibonacci sequence and related identities, Devbhadra V. Shah, Mansukh P. Arvadia, International Research Journal of Mathematics, Engineering and IT, 2, 4, 25 – 39, April 2015
  23. A new class of Generalized Lucas sequence, Devbhadra V. Shah, Mansi S. Shah, International Journal of Advanced Research in Engineering, Science & Management, , , 1 – 7, April 2015
  24. Periodicity of Tetranacci numbers modulo 〖10〗^t:, Devbhadra V. Shah, Gautam S. Hathiwala, Proceedings of International Conference on “Engineering: Issues, Opportunities and Challenges for Development” , 9 – 15, April 2015
  25. The powers of k-Fibonacci and k-Lucas golden ratios in terms of Continued fraction, Devbhadra V. Shah, Kiran P. Gajera, Proceedings of International Conference on “Engineering: Issues, Opportunities and Challenges for Development”,, , , 16 – 22, April 2015
  26. An Interesting generalization of Fibonacci and Lucas sequence, Devbhadra V. Shah, Vandana R. Patel, International Journal of Science and Research, 4, 12, 1942 – 1953, Dec. 2015
  27. Explicit and recursive formulae for the class of generalized Fibonacci sequence, Devbhadra V. Shah, Daksha M. Diwan, International Journal of Advanced Research in Engineering, Science and Management, 1, 10, 1 – 6 , July 2015
  28. Left k-Fibonacci sequence and related identities, Devbhadra V. Shah, Mansukh P. Arvadia, Journal Club for Applied Sciences, 2, 1, 20 – 26, July 2015
  29. Extended Binet’s formula for the class of generalized Fibonacci sequences, Devbhadra V. Shah, Daksha M. Diwan, VNSGU Journal of Science and Technology, 4, 1, 205 – 210 , 2015
  30. Closed form continued fraction expansions for the powers of Lucas ratio, Devbhadra V. Shah, Kiran P. Gajera, VNSGU Journal of Science and Technology, 4, 1, 211 – 215, 2015
  31. Ratios of generalized Fibonacci-Lucas numbers expressed as Continued fraction expansion, Devbhadra V. Shah, Kiran P. Gajera, Proceedings of ‘International Conference on Engineering: Issues, Opportunities and Challenges for Development’, , , 12 – 19, April 2016
  32. Various results for the sequence associated with the Lucas numbers, Devbhadra V. Shah, Khushbu J. Das, Rima P. Patel, Proceedings of ‘International Conference on Engineering: Issues, Opportunities and Challenges for Development’, , , 61 – 70 , April 2016
  33. Identity of unknown term in a Tetranacci-like sequence, Devbhadra V. Shah, Gautam S. Hathiwala, International Journal of Advanced Research in Engineering, Science and Management, 2, 6, 01 – 14, March 2016
  34. Some interesting properties and extended Binet formula for the Generalized Lucas sequence, Devbhadra V. Shah, Daksha M. Diwan, International Journal of Innovative research in Science, Engineering and Technology, 4, 12, 12832 – 12837, Dec. 2015
  35. Closed form continued fraction expansions for the powers of Generalized Lucas golden proportion, Devbhadra V. Shah, Kiran P. Gajera, International Journal of Trends and Technology, 20, 2, 113 – 119, April 2015
  36. Golden proportions for the generalized Tetranacci numbers, Devbhadra V. Shah, Gautam S. Hathiwala, International Research Journal of Mathematics, Engineering and IT, 3, 4, 90 – 101, April 2016
  37. A new approach to the generalized Lucas sequence, Devbhadra V. Shah Khushbu J. Das, Mathematics Today, 32, June – Dec., 33 – 40, 2016
  38. Periodicity of Tetranacci numbers modulo 〖10〗^t, Devbhadra V. Shah, Gautam S. Hathiwala, Journal of Indian Academy of Mathematics, 38, 2, 155 – 165, 2016
  39. Periodicity of generalized Lucas numbers and the length of its period under modulo 2^E, Devbhadra V. Shah, Rima P. Patel, The Mathematics Today, 33, June – Dec., 67 – 74, 2017
  40. Golden Proportion for an exclusive class of generalized Fibonacci Numbers, Devbhadra V. Shah, Kalindi J. Contractor, International Journal of Innovative Research in Science, Engineering and Technology, 6, 12, 22607 – 22611, Dec. 2017
  41. Binet-type formula for the sequence of Tetranacci numbers by alternate methods, Devbhadra V. Shah, Gautam S. Hathiwala, Mathematical Journal of Interdisciplinary Sciences, 6, 1, 37 – 48, Sept. 2017
  42. Genomial Numbers, Devbhadra V. Shah, Mansi S. Shah, The Journal of the Indian Academy of Mathematics, 40, 1, 1 – 11, Jan. 2018
  43. Multiobjective Zero One Faculty Course Assignment problem solution using weight function, Devbhadra V. Shah, Rasik R. Shah, Jayesh Dodhiya, International Journal for Science and Advance Research in Technology, 4, 3, 1453 – 1460, March 2018
  44. Alternate proofs for the infinite number of solutions of Pell’s equation, Devbhadra V. Shah, Bilkis M. Madni, International Journal of Engineering, Science and Mathematics, 7, 4, 255 – 259, 2018
  45. Class of Second order linear homogeneous recurrence relations with constant coefficients, Devbhadra V. Shah, Vandana R. Patel, Mathematical Sciences – International Research Journal, 7, 2, 348 – 352, Sept. 2018
  46. Roman Fibonomial Numbers, Devbhadra V. Shah, Mansi S. Shah, International Journal of Innovation in Science and Mathematics, 6, 5, 160 – 163, Sept. 2018
  47. Fuzzy preferences based mathematical model for faculty course timeslot assignment for remaining courses, Devbhadra V. Shah, Rasik R. Shah, B. M. Tailor, J. M. Dhodiya, Proceedings of ‘23 ISTE convention’ held at Shree Swami Atmanand Saraswati Institute of Technology, Surat, , , 254 – 260, 15 Dec. 2018
  48. Interesting properties related with the class of Generalized Lucas sequences, Devbhadra V. Shah, Daksha M. Diwan, International Journal of Advance and Innovative Research, 6, 2 (I), 49 – 54, April – June 2019
  49. Asymptotic density of Pellian triplets associated with U^2-DV^2=-m, Devbhadra V. Shah, Bilkis M. Madni, Advances in Mathematics: Scientific Journal, 9, 8, 5775 – 5783, 2020
  50. Some Identities Involving the Generalized Lucas Numbers, Devbhadra V. Shah, Mansi S. Shah, Mathematical Journal of Interdisciplinary Sciences, 9, 1, 11 – 15, 2020
  51. Periodicity of Pell Sequence Modulo 〖10〗^e, Devbhadra V. Shah, Rima P. Patel, Zeichen Journal, 6, 9, 251 – 255, 2020
  52. Genomial numbers for the second order generalized Fibonacci numbers, Devbhadra V. Shah, Mansi S. Shah, The Mathematics Student, 89, 3 – 4, 103 – 109, July – Dec. 2020
  53. Binet-Curve for the Various Generalized k-Fibonacci Numbers, Devbhadra V. Shah, Khushbu J. Das, Zeichen Journal, 6, 10, 121 – 132, Oct. 2020
  54. Recursive subsequence of various Fibonacci-type sequences, Devbhadra V. Shah, Khushbu J. Das, The Mathematics Student, 90, 1 – 2, 77 – 84, Jan. – June, 2021
  55. Roman Fibonomial Numbers and Fibonacci Numbers, Devbhadra V. Shah, Mansi S. Shah, Zeichen Journal, 7, 6, 83 – 88, June 2021
  56. Number of Solution Classes of U^2-DV^2=±k^2 N for Specific Values of N, Devbhadra V. Shah, Bilkis M. Madni, Zeichen Journal, 7, 7, 41 – 56, July 2021
  57. Generalized double Fibonomial numbers, Devbhadra V. Shah, Mansi S. Shah, Ratio Mathematica, 40, , 163 – 177 , 2021
  58. Tribute to Prof. Arun Madhusudan Vaidya, Devbhadra V. Shah, M. H. Vasavada, Mathematics Today, 37, 1, 1 – 6, June 2021
  59. Extended Binet formula for the class of Generalized Lucas sequences, Devbhadra V. Shah, Daksha M. Diwan, Mathematics Today, 37, 1, 21 – 28, June 2021
  60. Imbibition in Double Phase flow through Porous Media, Priti Tandel P.H.Bhathawala, International Journal on Recent and Innovation trends in Computing and Communication, 3, 9, 5431-5433, September-2015
  61. Study of Fingering Phenomena in Displacement Process through Homogeneous Porous Media, J.S.Prajapati, Priti Tandel, P.H.Bhathawala, International Journal of Engineering and Innovative Technology , 5, 7, 37-39, January-2016
  62. Study of Multifluid Miscible Fluid Flow Through Porous Media, Priti Tandel P.H.Bhathawala, International Conference on Engineering: Issues, Opportunities and Challenges for Development ,ISBN:978-81-929339-3-1 , 32-37 , April-2016
  63. Study of Fingero-Imbibition Phenomena Arising in Double Phase Flow through Porous Media Using Finite Difference Method, Priti Tandel , International Journal of Innovative Research in Science, Engineering and Technology , 5 , 6, 11249-11252, June -2016
  64. Finite Difference Method in Immiscible Double Phase Fluid Flow through Porous Media, Priti Tandel , International Journal of Innovative Research in Science, Engineering and Technology , 5 , 8, 15858-15863, August 2016
  65. Series Solution of Multifluid Miscible Fluid Flow through Homogeneous Porous Media , Priti Tandel , International Journal of Advanced Research in Science, Engineering and Technology , 3 , 10, 2760-2763, October 2016
  66. Study of Counter-Current Imbibition Arising In Double phase flow in the Context of Homogeneous Porous Media, Priti Tandel , International Journal of Innovative Research in Computer and Communication Engineering, 4 , 11, 20366-20369, November 2016
  67. Study Of Fingero-Imbibition in Double Phase Flow Through Porous Media With Magnetic Fluid Using Numeric Technique, Priti Tandel , International Journal of Engineering Applied Sciences and Technology, 2 , 1, 82-85, November-December 2016
  68. Numeric Technique in Computation of Concentration in Miscible Fluid Flow through Porous Media , Priti Tandel , International Journal of Innovative Research in Computer and Communication Engineering , 4 , 11, 20524-20528, November 2016
  69. Calculation of Moisture Content Arising in Uni-Dimensional Flow through Homogenous Porous Media, Priti Tandel , International Journal of Innovative Research in Computer and Communication Engineering , 4 , 12, 21397-21400 , December 2016
  70. Study of Imbibition Phenomenon Arising in Immiscible Phase Flow Through Homogeneous Porous Media, Priti Tandel , 6th International conference on Recent trends in Engineering, Science and Management, ISBN: 978-93-86171-21-4 ,1373-1377, January-2017
  71. Numerical Study of Instabilities in Porous Media using Finite Difference Method, M.S. Prajapati Priti Tandel P.H.Bhathawala , IOSR Journal of Mathematics , 13 , 2 , 89-92, Mar.-Apr.2017
  72. Study of Effect in Convergence of a Solution with the Variation in Accelerating Factor in Successive Over Relaxation Method, Priti Tandel , International Journal of Innovative Research in Science, Engineering and Technology , 6 , 7, 14452-14456 , July-2017
  73. Exact Solution of Vertical One Dimensional Ground Water Recharge in Unsaturated Porous Media by VIM, Priti Tandel , Journal of Applied Science and Computations , V , XII, 1977-1980, December-2018
  74. Approximate Analytical Approach of Counter Current Imbibition Phenomenon in Porous Media, Priti Tandel, Journal of Emerging Technologies and Innovative Research , 6 , 2, 278-282, February 2019
  75. Homotopy Perturbation and Elzaki Transform for Solving Fingero Imbibition Phenomenon in Zero inclined Porous Media, Priti Tandel, Research Directions , 6, 11, 286-293, March-2019
  76. Fractional Reduced Differential Transform Method for the Water Transport in Unsaturated Porous Media, Hardik S. Patel, Priti Tandel , International Journal of Applied and Computational Mathematics , 7, 1, 1-14, January-2021
  77. A study on unsteady flow through porous media: A cubic spline collocation approach, Pinky Shah, Priti Tandel, Jyotindra Prajapati , Journal of Interdisciplinary Mathematics , 24, 5, 1375-1386, August-2021
  78. Iterative Cubic Spline Technique to Approximate Two-Dimensional and Axisymmetric Flow of A Viscous Incompressible Fluid, Pinky Shah, Priti Tandel, , International Journal of Mathematics Trends and Technology, 67, 8, 175-184, August-2021
  79. Solution of One – Dimensional Ground Water Recharge Through Porous Media Via Reduced Differential Transform Method, Priti Tandel, Hardik Patel, , International Journal of Mathematics Trends and Technology, 67, 9 , 81-86, September-2021
  80. Solution of Fingering Phenomenon in Double Phase Flow through Heterogeneous Porous Media for Vertically Downward Direction, Pratiksha A. More, Priti V. Tandel , International Journal of Mathematics Trends and Technology, 67, 9, 118-129, September-2021
  81. Iterative Spline Approximation For Rectangular Fin With Temperature Dependent Thermal Conductivity, Pinky Shah, Priti Tandel, International Journal of Mathematical Archive, 12, 9, 6-12, September-2021
  82. Solution of the Time-Fractional Generalized Burger-Fisher Equation Using the Fractional Reduced Differential Transform Method, Vahisht Tamboli Priti Tandel , Journal of Ocean Engineering and Science,, Accepted
  83. Tsunami Wave Propagation Model: A Fractional Approach, Priti Tandel, Hardik Patel Trushit Patel , Journal of Ocean Engineering and Science,, Accepted
  84. An Algorithm for Automatic Object Identification using MATLAB, Kaushal Patel, Vinita Patel, 7 TH INTERNATIONAL CONFERENCE ON RESEARCH TECHNIQUES IN ENGINEERING & TECHNOLOGY, 1, 1, , 29-08-2021
  85. Gradient Method to construct 3D Digital image of a 2D Digital image, Kaushal Patel, International journal of Science and Research, 8, 6, 2277-2281, 01-06-2019
  86. Simulation of Flows through fracture porous media using Lattice Boltzamnn Method, Kaushal Patel, International Journal of Engineering Research and Science & Technology, 6, 2, 23195991, 01-05-2017
  87. A Study of Morphological Operators on Digital Colour Image, Kaushal Patel, International Journal of Computational and Applied Mathematics., 12, 2, 1819-4966, 01-06-2017
  88. Simulation of Incompressible Cylindrical Duct Flow with Electrically Conducting Fluid Using Finite Difference Method, Kaushal Patel, Advances in Computational Sciences and Technology, 10, 6, 0973-6107, 01-06-2017
  89. Effect of Morphological Operators on digital Colour Image, Patel Kaushal, Patel Vinita, International Journal of Advanced Research, 5, 5, 2320-5407 , 01-05-2017
  90. Simulation of Air Turbulence that origins for the particular sound in flute using Lattice Boltzmann Method, Kaushal Patel, International Journal of Advanced Scientific Research Development, 4, 2, 2395-6089, 01-02-2017
  91. The Method of lines for solution of the two Dimensional Elliptic Equation, G. V. Patel, K. B. Patel, ANNALS of Faculty Engineering Hunedoara – International Journal of Engineering, 14, 1, 1584-2665, 01-02-2016
  92. Non-Linear compaction Model to Estimate the Quantity of cement in Cement Silo, Kaushal Patel, International Journal of Research and Analytical Reviews, 6, 2, 2348-1269, 01-06-2019
  93. Construction of 3D image from 2D image using stamp perception, Kaushal Patel, International journal of Recent Engineering and Research and Development, 4, 6, 2455-8761, 01-06-2019
  94. Contour Tracing Techniques to construct 3D Image From 2D Digital Image, Kaushal Patel, international Journal of Scientific Research, 8, 7, 2277-8179, 01-07-2019
  95. 3D perception of a 2D image using Displacement Map, Kaushal Patel, international Journal of Applied Science and Engineering, 7, 1, 2322-0465, 01-06-2019
  96. An Algorithmfor the Automatic Mask Detection using YOLO-v2 AND RESNET-50 in MATLAB, Kaushal Patel, NOVIY MIR Research Journal, 6, 7, 0130-7673, 30-07-2021
  97. REPRODUCING KERNEL FOR ROBIN BOUNDARY CONDITIONS, GAUTAM PATEL AND KAUSHAL PATEL, The Mathematics Student, 10, 3, 0025-5742, 01-07-21
  98. Solution of Fingering Phenomenon in Double Phase Flow through Heterogeneous Porous Media for Vertically Downward Direction,Pratiksha More, PritiTandel,International Journal of Mathematics Trends and Technology,67,9,118-129,September, 2021
  99. Reduced Differential Transform Method for the Treatment of Internal Atmospheric Waves Phenomenon, Vahishht Tamboli, Priti Tandel, International Journal of Applied and Computational Mathematics, 2349-5103, 6/1/2022
  100. Solution of the Time-Fractional Generalized Burger-Fisher Equation Using the Fractional Reduced Differential Transform Method, Vahishht Tamboli,  Priti Tandel, Journal of Ocean Engineering and Science, 2468-0133, 8/1/2022
  101. Tsunami Wave Propagation Model: A Fractional Approach, Priti Tandel,Hardik Patel,Trushit Patel, Journal of Ocean Engineering and Science, 2468-0134, 12/1/2022
  102. Insertion of terms satisfying the recurrence relations of Horadam sequence and Bifurcating Fibonacci sequences, Khushbu J. Das, Devbhadra V. Shah, Ratio Mathematica, ISSN: 1592-7415. eISSN: 2282-8214, 6/1/2022
  103. Reproducing Kernel for Neumann Boundary Conditions, Kaushal Patel, Gautam Patel, Punjab University Journal of Mathematics, 1016-2526,2022
  104. A SEMI-ANALYTIC APPROACH FOR SOLVING FISHER’S REACTION-DIFFUSION EQUATION BY METHOD OF LINES USING REPRODUCING KERNEL HILBERT SPACE METHOD, Kaushal Patel, Gautam Patel, JNANABHA, 0304-9892(print), 2455-7463 (Online), 2022
  105. Modelling and Simulation of a Fuzzy Non-Linear Reservoir System, Kaushal Patel, Ashok Tejwani, Strad Research, 0039-2049,2022
  106. Binet-Curve for the various Left k-Gaussian Fibonacci sequences, Khushbu J. Das, Devbhadra V. Shah, International Journal of Innovative Research in Technology, 2349-6002, Feb. 2023
  107. B-Spline Collocation Solution for Burgers’ equation arising in Longitudinal Dispersion Phenomena in Fluid Flow through Porous Media, Nilesh Sonara, D. C. Joshi, N. B. Desai, International Journal of Mathematics Trends and Technology, 2231-5373, 7/1/2022
  108. Estimation of Pulmonary Gas Exchange in the Human Respiratory System Under Normal and Abnormal Conditions, Nirali Patel, Kaushal Patel, BIOSCIENCES BIOTECHNOLOGY RESEARCH ASIA, 0973-1245, 2023
  109. Numerical Simulation of Two-Dimensional Unsteady Heat Flow Using Finite Element Method, Kaushal Patel, Brinda Gheewala, Pramod mishra, Strad Research, 0039-2049,2023

Presentations

  1. A study of the Reproducing Kernel Hilbert space method for poor nutrition in life cycle, kaushal patel, gautam patel, 86 annual conference of the India Mathematical Society, International, 17-12-2020, Vellore institute of Technology
  2. An Algorithm for Automatic Object Identification using MATLAB, Kaushal Patel, Vinita Patel, 7 TH INTERNATIONAL CONFERENCE ON RESEARCH TECHNIQUES IN ENGINEERING & TECHNOLOGY, International, 29-08-2021, INTERNATIONAL INSTITUE OF RESEARCH IN MULTIDISCIPLINARY – SKILL DEVELOPMENT TRUST
  3. On The Solution of First Order Ordinary Differential Equations by Lie Group Method,Bhavixa P. Bhagat & Dr. M.G.Timol,Research Directions,6,6,192-203,31-12-2018
  4. Symmetry Solution for The Boundary Layer Two-Dimensional Flow of Power-Law Fluid,Bhavixa Bhagat & M. G. Timol,Journal of Emerging Technologies and Innovative Research,9,1,b605-b611,13-01-2022

Presentations

  1. A mathematical Aspect for Image Inpainting and Denoising Problems. (Paper presented by D. C. Joshi), Rajesh Jadav, D. C. Joshi, National conference on Recent Trends in Mathematical And Computational Sciences (NCRTMCS-2015), National, 3-4 January 2015, Bhagalpur University, Bhagalpur
  2. B Spline Collocation approach for the Solution of Boundary Layer Convective Heat Transfer Flow over a Flat Plate ( presented by Pragna Mistry), Pragna Mistry, D. C. Joshi, National Conference on Computational Mathematics & Operation Research(CMOR-2016) , National, 15-16 Oct. 2016, B K Birla Institute of Engineering and Technology, Pilani, Rajasthan-333031,
  3. Comparison of Numerical Results A Boundary Layer Problem Of A Free Convection over A Vertical Plate with a Variable Wall Temperature And Internal Heat Generation In A Pours Medium Saturated with a Non – Newtonian Fluid (Presented by Pragna Mistry), Pragna Mistry, D. C. Joshi, 7 th international Conference on Engineering Technology, Science and Management Innovation , International, 16 July. 2017 , Institution of Electronics and Telecommunication Engineers, Lodhi Road, Delhi, India, 16 July.(2017)
  4. Application of Reduced Differential Transform Method for the solution of Cancer invasion Model ( Presented by Khusbu Patel,) , Khusbu Patel, D. C. Joshi, Prof. P. C. Vaidya National Conference on Mathematical Sciences , National, December 24-25, 2018 , St. Xavier’s College, Ahmedabad
  5. Numerical solutions of second order boundary value problems by Hermite Polynomial method (Presented by Mihir Prajapati), Mihir Prajapati, D. C. joshi, Prof. P. C. Vaidya National Conference on Mathematical Sciences , National, December 24-25, 2018 , St. Xavier’s College, Ahmedabad
  6. Numerical solution of the two-dimensional magneto hydrodynamic flow of a viscous fluid over a constant wedge immersed in a porous medium (presented by Pragna Mistry), Pragna Mistry, D. C. Joshi, 2nd International conference on mathematical modeling, applied analysis and computation-2019 (ICMMAAC-19), International, 8-10 Aug, 2019, JECRC University, Jaipur, Rajasthan-303905
  7. Study of Compartment Model of Reaction Diffusion Mechanism of Carcinogenic Polycyclic Aromatic Hydrocarbon in Mammalian Cell including Perinuclearmembrane By Modified Differential Transform Method (Presented by Khusbu Patel), Khusbu Patel, D. C. Joshi, 2nd International conference on mathematical modeling, applied analysis and computation-2019 (ICMMAAC-19), International, 8-10 Aug, 2019, JECRC University, Jaipur, Rajasthan-303905
  8. Numerical study of wedge flow subjected to magnetic field to Falkner-Skan equation through porous media (presented by Pragna Mistry), Pragna Mistry, D. C. Joshi, 2nd International Conference (Digital) On Research and Innovations in Science, Engineering & Technology (ICRISET -2020), International, 4-5 Sept. 2020, Birla VishvakarmaMahavidyalaya, Vallabh Vidyanagar, Anand, Gujarat, India-388120
  9. Numerical solution for two dimensional Non-Newtonian boundary layer flow over a flateplate with power-law fluid with suction/injection through porous media by Petrov-Galerkin method (Presented by Mihir Prajapati), Mihir Prajapati, D. C, Joshi, On Research and Innovations in Science, Engineering & Technology (ICRISET -2020), International, 4-5 Sept. 2020, Birla VishvakarmaMahavidyalaya, Vallabh Vidyanagar, Anand, Gujarat, India-388120
  10. Numerical solution for the flow of a conducting power-law fluid in transverse magnetic field and with a pressure gradient using Hermite polynomial method.( Presented by Nitin Patel), Nitin Patel, D. C. Joshi, On Research and Innovations in Science, Engineering & Technology (ICRISET -2020), International, 4-5 Sept. 2020, Birla VishvakarmaMahavidyalaya, Vallabh Vidyanagar, Anand, Gujarat, India-388120
  11. Generalized Sequence Balancing and Cobalancing Numbers, Dr. Devbhadra V. Shah, International Conference of The Indian Mathematics Consortium and American Mathematical Society, International, 14 – 17 Dec. 2016, Banaras Hindu University, Varanasi
  12. Binet formula for the sequence of Tetranacci numbers, Gautam S. Hathiwala, Devbhadra V. Shah,, International Conference of The Indian Mathematics Consortium and American Mathematical Society, International, 14 – 17 Dec. 2016, Banaras Hindu University, Varanasi
  13. p – Cut-off Numbers, Dr. Devbhadra V. Shah, National Conference on Current developments in Analysis and its Applications, National, 14 – 15 March 2015, The M. S. University, Vadodara
  14. Class of Second Order linear Homogeneous recurrence relations with constant coefficients, Devbhadra V. Shah, Vandana R. Patel, International Conference on Advances in Pure & Applied Mathematics 2018, International, 6 – 8 Sept. 2018, Madurai Kamraj University, Madurai
  15. p – Cut-off Numbers, Dr. Devbhadra V. Shah, Second International Conference on ‘Algebra and Discrete Mathematics’, International, 24 – 26 June, 2020, Madurai Kamraj University, Madurai
  16. On the solutions of Pellian equation U^2-DV^2=N , Bilkis M. Madni, Devbhadra V. Shah, International Conference on Research and Innovations in Science, Engineering and Technology, International, 4 – 5 Sept. 2020, Birla Vishvakarma Mahavidyalaya Engineering College, Vallabh Vidyanagar
  17. Roman Fibonomial numbers and Fibonacci numbers, Mansi S. Shah, Devbhadra V. Shah, International Conference on Research and Innovations in Science, Engineering and Technology, International, 4 – 5 Sept. 2020, Birla Vishvakarma Mahavidyalaya Engineering College, Vallabh Vidyanagar
  18. Pellian Triplets related to Pell’s equation U^2-DV^2=-m , Bilkis M. Madni, Devbhadra V. Shah, International Conference on Number Theory and Graph Theory, International, 27 – 29 June, 2019, University of Mysore, Mysuru
  19. On the solution classes of Pell’s equation U^2-DV^2=±k^2 N , Bilkis M. Madni, Devbhadra V. Shah, Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 24 – 25 Dec. 2018, St. Xavier’s College, Ahmedabad
  20. An introduction to the Roman Fibonomial numbers, Mansi S. Shah, Devbhadra V. Shah, Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 24 – 25 Dec. 2018, St. Xavier’s College, Ahmedabad
  21. Areas under the Binet-Lucas Curves and Binet-Lucas Spirals, Khushbu J. Das, Devbhadra V. Shah, Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 24 – 25 Dec. 2018, St. Xavier’s College, Ahmedabad
  22. Periodicity of an interesting combination of Fibonacci and Lucas sequence, Rima P. Patel Devbhadra V. Shah, Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 24 – 25 Dec. 2018, St. Xavier’s College, Ahmedabad
  23. Interesting properties related with the class of generalized Lucas sequences, Daksha M. Diwan, Devbhadra V. Shah, Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 24 – 25 Dec. 2018, St. Xavier’s College, Ahmedabad
  24. Asymptotic density of Pellian triplets associated with U^2-DV^2=-m , Bilkis M. Madni, Devbhadra V. Shah, 2nd Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 28 – 29 Dec. 2019, M.K. Bhavnagar University, Bhavnagar
  25. Binet-Curve for the sequence of Pell number, Khushbu J. Das, Devbhadra V. Shah, 2nd Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 28 – 29 Dec. 2019, M.K. Bhavnagar University, Bhavnagar
  26. Periodicity of left k-Fibonacci sequence under modulo 2^e, Rima P. Patel Devbhadra V. Shah, 2nd Prof. P. C. Vaidya National Conference on Mathematical Sciences, National, 28 – 29 Dec. 2019, M.K. Bhavnagar University, Bhavnagar
  27. Periodicity of Pell sequence, Rima P. Patel Devbhadra V. Shah, International Conference on History and Recent Developments in Mathematics, with Applications in Science and Technology, International, 17 – 18 Dec. 2019, Madhuben and Bhanubhai Patel Institute of Technology, New Vallabh Vidyanagar
  28. Recursive subsequence of various Fibonacci-type sequences, Khushbu J. Das, Devbhadra V. Shah, International Conference on History and Recent Developments in Mathematics, with Applications in Science and Technology, International, 17 – 18 Dec. 2019, Madhuben and Bhanubhai Patel Institute of Technology, New Vallabh Vidyanagar
  29. Fuzzy preferences based mathematical model for faculty course timeslot assignment for remaining courses, Devbhadra V. Shah, Rasik R. Shah, B. M. Tailor, J. M. Dhodiya, National Conference on ‘Role of Innovation and Human values in Engineering and Technology’, National, 15 Dec. 2018, SSASIT, Surat
  30. Various results for the sequence associated with the Lucas numbers, Khushbu J. Das, Rima P. Patel, Devbhadra V. Shah, International Conference on Engineering: Issues, Opportunities and Challenges for Developments, International, 9 April, 2016, S. N. Patel Institute of Technology and Research Centre, Umrakh
  31. Binet formula of the class of Generalized Fibonacci and Lucas sequences , Daksha M. Diwan, Devbhadra V. Shah, Symposium in Mathematics, International, 22 – 23 Dec. 2019, IIT, Gandhinagar
  32. On the solutions of Pellian equation U^2-DV^2=-K^2 N , Bilkis M. Madni, Devbhadra V. Shah, Virtual International Conference on Emerging trends in Applied Sciences, International, 28 – 29 Oct. 2021, VNSG University, Surat
  33. Tribonomial Numbers, Mansi S. Shah, Devbhadra V. Shah, Virtual International Conference on Emerging trends in Applied Sciences, International, 28 – 29 Oct. 2021, VNSG University, Surat
  34. Binet-Curve for the Various Generalized Right k-Fibonacci Numbers, Khushbu J. Das, Devbhadra V. Shah, Virtual International Conference on Emerging trends in Applied Sciences, International, 28 – 29 Oct. 2021, VNSG University, Surat
  35. Length of period of Pell-Lucas Sequence modulo 〖10〗^e along-with blocks within the period, Rima P. Patel Devbhadra V. Shah, Virtual International Conference on Emerging trends in Applied Sciences, International, 28 – 29 Oct. 2021, VNSG University, Surat
  36. The sequence of trifurcating Fibonacci numbers, Parimalkumar A. Patel Devbhadra V. Shah, Virtual International Conference on Emerging trends in Applied Sciences, International, 28 – 29 Oct. 2021, VNSG University, Surat
  37. Study of Multifluid Miscible Fluid Flow Through Porous Media, Priti Tandel, P.H.Bhathawala , International Conference on Engineering: Issues, Opportunities and Challenges for Development , International, 9th April 2016, S.N.Patel Institute of Technology &Research Centre, Umrakh Bardoli
  38. Numerical approach to study longitudinal dispersion in miscible fluid flow through homogeneous porous media, Dhara Patel Priti Tandel , National Conference on Applied Mathematical Sciences, National, 14th -15th April,2018, Gujarat University, Ahmedabad
  39. Numerical treatment of Fingering phenomenon in poly phase flow through Porous Media, Priti Tandel, 21st Annual Conference of Vijnana Parishad of India on Modeling, Optimization and Computing for Technological and Sustainable Development (MOCTSD-2019), National, 26th-28th April, 2019, SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad, U.P.
  40. Approximate Solution of Imbibition Phenomenon in Double Phase Flow through Homogeneous porous media , P.V.Tandel , National Conference on "Recent Advancements in computational Mathematics and Engineering Sciences", National, 09th -10th November, 2019, Vivekananda Institute of Technology, Jaipur
  41. Approximate Analytical Solution Of One-Dimensional Ground Water Recharge By Spreading Through Porous Media Using Reduced Differential Transform Method, P.V.Tandel, Dhara Patel, Hardik Patel , International Conference on “Research and Innovations in Science, Engineering & Technology” ICRISET-2020, International , 4th -5th, September, 2020, B.V.M. Engg. College, Vidyanagar
  42. Mathematical Modelling and Solution for Fingering Phenomenon in Vertical Downward Direction through Heterogeneous Porous Medium, Pratiksha More, Priti Tandel, Online International Conference on Recent Advances in Computational Mathematics & Engineering, International , 19th to 21st March, 2021, B.K.Birla Inst. of Engineering and Technology, Pilani, Rajasthan
  43. Solution of Fingering Phenomenon through Heterogeneous Porous Media using Reduced Differential Transform Method, Pratiksha A. More, Priti V. Tandel , 4th International Conference On Mathematical Modelling, Applied Analysis And Computation-2021, International, 5th to 7th August, 2021, Department of Mathematics JECRC University, Jaipur, India
  44. Solution of Imbibition Phenomenon arising in Homogeneous Porous Media by using Reduced Differential Transform Method, Pratiksha A. More, Priti V. Tandel , 23rd Annual Conference of Vijana Parishad of India, International, 6th to 10th, September, 2021, Department of Mathematical Sciences and Computational Applications, Bundelkhand University, Jhansi, Uttar Pradesh
  45. Solution of Fingero-Imbibition phenomenon in homogeneous porous media using Homotopy perturbation Aboodh transform method, Pratiksha A. More, Priti V. Tandel , Virtual International conference on emerging trends Applied Mathematics, International, 28th and 29th October-2021, Jointly organized by Veer Narmad South Gujarat University, Surat and Vyakta State University, Kirov, Russia
  46. A study of the Reproducing Kernel Hilbert space method for poor nutrition in life cycle, kaushal patel, gautam patel, 86 annual conference of the India Mathematical Society, International, 17-12-2020, Vellore institute of Technology
  47. An Algorithm for Automatic Object Identification using MATLAB, Kaushal Patel, Vinita Patel, 7 TH INTERNATIONAL CONFERENCE ON RESEARCH TECHNIQUES IN ENGINEERING & TECHNOLOGY, International, 29-08-2021, INTERNATIONAL INSTITUE OF RESEARCH IN MULTIDISCIPLINARY – SKILL DEVELOPMENT TRUST
  48. Mathematical Modelling and Solution for Fingering Phenomenon in Vertical Downward Direction through Heterogeneous Porous Medium,Pratiksha More, PritiTandel,Recent Advances in Computational Mathematics & Engineering,International,19 - 21 MARCH, 2021,B K Birla Institute of Engineering & Technology, Pilani
  49. Solution of Fingering Phenomenon through Heterogeneous Porous Media using Reduced Differential Transform Method,Pratiksha More, PritiTandel,4th International Conference on Mathematical Modelling, Applied Analysis and Computation-2021 (ICMMAAC-21),International,August 05-07, 2021,Department of Mathematics, Faculty of Sciences, JECRC University Jaipur (Rajasthan)
  50. Solution of Imbibition Phenomenon Arising in Homogeneous Porous Media by Using Reduced Differential Transform Method,Pratiksha More, PritiTandel,23rd Annual Conference of VijñānaParishad of India on Recent Developments in Mathematics, Optimization and Computational Sciences (RDMOCS 2021),National,September 06-10, 2021,Department of Mathematical Sciences and Computer Applications Bundelkhand University, Jhansi, UP, India
  51. Solution Of Fingero-Imbibition Phenomenon In Homogeneous Porous Media Using Homotopy Perturbation Aboodh Transform Method,Pratiksha More, PritiTandel,Virtual International Conference on Emerging Trends in Applied Sciences (ETAS 2021),International,28-29 October 2021,Veer Narmad South Gujarat University & Vyatka State University, Kirov, Russia
  52. On the solution of first order ordinary differential equations by Lie group method,Bhavixa P. Bhagat & Dr. M.G.Timol,National Seminar on Role of Statistics in Current Scenario,National,27-03-2016,Vnsgu, Surat
  53. Lie Symmetry Technique for Two-dimensional Jet of an Incompressible Power-Law Fluid,Bhavixa P. Bhagat,International Conference on Present Scenario of Mathematical Sciences,International,13-09-2020,Karnatak University’s Arts College, Dharwad, Karnataka.
  54. Group Invariant Solution for Axisymmetric Free Jet of an Incompressible Power-Law Fluid,Bhavixa P, Bhagat & Dr. M. G. Timol,Virtual International Conference on PHYSICAL SCIENCE,International,06-02-2021,SVNIT, Surat.

Books/Chapters

    1. Solution of a Volterra’s Population Model in a Bernstein Polynomial Basis: An Advanced Study, B.M. Pandya, D. C. Joshi, B. P. international, Current Topics on Mathematics and Computer Science Vol. 8, April-2021, 978-93-91595-40-1
    2. Class of Second order linear homogeneous recurrence relations with constant coefficients, Devbhadra V. Shah, Vandana R. Patel, School of Mathematics, Madurai Kamraj University, Madurai, 2018, 978-93-86435-54-5
    3. Ground Water Recharge Model in Porous Media, P.V.Tandel, Lulu Book Publication, , 2017, 978-1-365-80507-3
      4. li> An Algorithm for Automatic Object Identification using MATLAB, Kaushal Patel, Vinita Patel, 7 TH INTERNATIONAL CONFERENCE ON RESEARCH TECHNIQUES IN ENGINEERING & TECHNOLOGY, 1, 29-08-2021, 979-8468240359

Details since 2015

    1. Minor, Mathematical model to predict pollutants in River: A particular case of River Tapi(Surat) Gujarat, Principal Investigator, Veer Narmad South Gujarat University, Surat., 1st December,2021, Ongoing

Details since 2015

  1. Ganit Samachar, International Conference of Mathematics, Indian Institute of Teacher’s Education, Gandhinagar, 15 – 17 Nov. 2018
  2. Joy of π, International Conference of Mathematics, Indian Institute of Teacher’s Education, Gandhinagar, 15-17 Nov. 2018
  3. Algorithms that revolutionized Mathematics, International Conference of Mathematics, Indian Institute of Teacher’s Education, Gandhinagar, 15 – 17 Nov. 2018
  4. Prof. R. C. Gupta Endowment Lecture, Annual Conference of ‘The Association of Mathematics Teachers of India’, Atul Vidyalaya, Atul, 28 Dec. 2016
  5. Number Theory meets Algebra and Graph Theory, National Conference on Algebra, Analysis & Graph Theory, Saurashtra Univ., Rajkot, 9 – 11 Feb. 2017
  6. School Education, Discussion Meeting on School Education, Raman Research Institute, Bengaluru, 18 – 20 Aug. 2017
  7. Problems leading to Pell’s equation, Prof. P. C. Vaidya National Conference on Mathematical Sciences, St. Xavier’s College, Ahmedabad, 24 – 25 Dec. 2018
  8. Some problems on Elementary Number Theory, 2nd Workshop Problem solving and enrichment in Mathematics, St. Xavier’s College, Ahmedabad, 29 – 31 Dec. 2016
  9. Srinivasa Ramanujan, Invited Talk, Bhagwan Mahavir Education Foundation, Surat, 13 Jan. 2017
  10. Life and works of Bhaskaracharya, Invited Talk, V. S. Patel College of Arts and Science, Bilimora, 20 July 2019
  11. Remembering Prof. A. R. Rao, Invited Talk, Uka Tarsadia Univerity, Bardoli, 23 Sept. 2019
  12. Guidelines to execute research-oriented PG dissertation, Invited Talk, Uka Tarsadia Univerity, Bardoli, 23 Sept. 2019
  13. Various problems in Number Theory 1, 2 , 6th State level Workshop on problem solving and enrichment in Mathematics, St. Xavier’s College, Ahmedabad, 25 – 29 Dec. 2019
  14. Ganit Samachar – 2019 , 56th Annual Conference of Gujarat Ganit Mandal, Shree Pranami High School, Jamnagar, 30 Sept. – 2 Oct. 2019
  15. In search of primes, 56th Annual Conference of Gujarat Ganit Mandal, Shree Pranami High School, Jamnagar, 30 Sept. – 2 Oct. 2019
  16. Ramanujan, Invited Talk, Mahatma Gandhi Rural Studies Department, VNSGU, Surat, 22 Dec. 2018
  17. Internationally acclaimed different prizes in Mathematics, Invited Talk, V. S. Patel College of Arts and Science, Bilimora, 20 Oct. 2018
  18. Mathemagical Blackholes, Second Workshop: Ganit ni Gahanta ane Tarkshakti Vikas, Gajera Vidyabhavan, Surat, 29 – 30 July 2016
  19. Mathematical Blackholes, 54th Annual Conference of Gujarat Ganit Mandal, Mahila Science College, Dhrol, 1 – 3 Nov. 2017
  20. Ganit Samachar – 2017 , 54th Annual Conference of Gujarat Ganit Mandal, Mahila Science College, Dhrol, 1 – 3 Nov. 2017
  21. Problems of Number Theory, Dinesh Sevak Shibir, St. Xavier’s College, Ahmedabad, 25 – 30 Dec. 2017
  22. Ramanujan Jivan Parichay, Ramanujan Ganit Workshop – 2018 , M. N. J. Patel School, Surat, 22 – 23 Dec. 2018
  23. Some interesting problems in Number Theory, Prof. P. C. Vaidya Summer School in Mathematics, St. Xavier’s College, Ahmedabad, 23 – 25 May, 2018
  24. Fundamentals of Number Theory, Prof. P. C. Vaidya Summer School in Mathematics, St. Xavier’s College, Ahmedabad, 23 – 25 May, 2018
  25. Various problems from Number Theory, 4th State level workshop on problem solving and enrichment in Mathematics, St. Xavier’s College, Ahmedabad, 25 – 30 Dec., 2017
  26. 35000 years of the Queen of Mathematics, Invited Talk, V. S. Patel College of Arts and Science, Bilimora, 23 June 2018
  27. The Joy of pi, Celebration of International Pi Day, Ganpat University, Mehsana, 14 March, 2021
  28. Life and Work of Srinivasa Ramanujan, Key-Note Address, Series of Popular Science Lectures, Vigyan Prasar, New Delhi, 14 July, 2020
  29. Genius: Srinivasa Ramanujan, International Webinar on History of Mathematics, V. S. Patel College of Arts and Science, Bilimora, 9 May, 2020
  30. Life and Legacy of Ramanujan, Invited Talk, Pandit Deendayal Petroleum University, Gandhinagar, 10 Oct. 2020
  31. Golden Proportion – The Signature of God?, State level Webinar, Government Engineering College, Bhuj, 22 Dec. 2020
  32. Ganit Samachar – 2020 , 57th Annual Conference of Gujarat Ganit Mandal, The M. S. University of Baroda, Vadodara, 25 – 27 Dec. 2020
  33. The Man and the Genius: Ramanujan, Invited Talk, B. P. Baria Science Institute, Navsari, 25 Oct. 2021
  34. Finite Difference Method in Fluid Flow problems through Porous Media, National Conference on Recent Advances in Physical and Mathematical Sciences, Government First Grade College, Afzalpur , 26th and 27th March-2018
  35. Matrix Algebra and its Applications, , Sir P.T. Sarvajanik College of Science, Surat, 24th January 2018
  36. Mathematical Modelling of Real World, Mathematical Modelling and Simulations in Physical Science, Sardar Vallabhbhai patel National Institute of Technology, Surat, 30-06-2020
  37. Mathematical Modelling on Linear Algebra, Mathematical Modelling and their Applications in Sciences and Engineering, S. N. Patel Institute of Technology & Research Centre, 02-01-2021
  38. Mathematical Modelling on Ordinary Differential Equation, Mathematical Modelling and their Applications in Sciences and Engineering, S. N. Patel Institute of Technology & Research Centre, 08-01-2021
  39. simulation (Finite Element Method), Shot term training program, Sardar Vallabhbhai patel National Institute of Technology, Surat, 01-10-2021
  40. simulation (Finite Difference Method), Shot term training program, Sardar Vallabhbhai patel National Institute of Technology, Surat, 30-09-2021
  41. Statistical and Mathematical Basis of Decision Making in Pharmaceutical Clinical Trials, Virtual International Conference on Emerging Trends in Applied Sciences, Veer Narmad South gujarat University, Surat, 28-10-2021
  42. Solution of Differential Equations Using Spline Method, 2 days national webinar on computational Methods in Applied Mathematics and Engineering, Sankalchand Patel University, 13-08-2021

Details since 2015

  1. Akhil S. Mittal, M. Phil, Application of Image Processing Through An Efficient Algorithm for car License plate Detection Using Histogram., Degree Awarded, Degree Awarded Feb-2015.
  2. Rajesh A. Jadav, Ph. D, Image Analysis Techniques for Image Segmentation And Image Inpainting problems: A Mathematical Approach., Awarded, 20th March, 2015 (20-3-2015)
  3. Mukesh T. Patel, Ph. D., Math-Psycho Model for Recognition of Human Psychology with technology, Awarded, 11th August 2015
  4. Mihir L. Prajapati, M. Phil, A comparative study on the Numerical solutions of second order boundary value problems by Hermite Galerkin method with various Numerical Methods, Degree awarded, August 2017
  5. Bhavika M. Taylor, Ph. D., Quantitative and Qualitative Feedback Analysis through Mathematical Tools and Techniques, Awarded, 12th February, 2016
  6. Bhavini M. Pandya, Ph. D, Legendre Spline collocation methods to solve Integro Differential Equations and its Applications, Awarded, 2nd May 2016
  7. Sheetal V. Shende, Ph.D., Mathematical Modelling And Simulation of Rainfall Runoff process, Awarded, 19th July 2016
  8. Krupa H. Desai, Ph.D., Finite Element Analysis for modeling Material Nonlinearity under cyclic loading, Awarded, 18th July 2017
  9. Jyoti K. Chaudhari, M. Phil, Comparative Study of Galerkin Method and Spline collocation Method., Awarded, December-2017
  10. Pratiksha A. More, M. Phil., Approximate solution of Integro Differential Equations by Legemdre Spline collocation Methods, Awarded, April -2018
  11. Pragna C. Mistry, Ph. D., B-spline collocation and Galerkin technique with Finite Element Apply to the problems related to Fluid flow in oil reservoirs, Awarded, 22 September 2020
  12. Khusbu D. Patel, Ph. D. , Differential transform method to study the mathematical models of Malignment tumer growth and Anticancer Treatment, Thesis submitted, September 2021
  13. Mihir L. Prajapati , Ph. D. , A study of Non-Newtonian fluid flow by Using Petrov-Galerkin Method, Synopsis submitted, June 2021
  14. Nitin P. Patel, Ph. D. , A study of MHD boundary Layer Flow of Non-Newtonian Fluid Through Hermite Polynomial Method, Synopsis submitted, July 2021
  15. Sheth Dhartiben G. , Ph. D. , Advanved Differential transformation methods and their Application to Magneto Hydrodynamic flow and porous media flow, Registered, September 2019
  16. Trivedi Chirag R., Ph. D. , Legendre spline collocation method app;ly to the problem related to MHD boundary layer flow., Registered, September 2019
  17. Dr. Daksha Manojbhai Diwan, Ph.D., Properties of the family of generalized (a,b)-Fibonacci numbers, Awarded, Dec. 2015
  18. Dr. Vandana Ramjibhai Patel, Ph.D., Some aspects of various generalized Fibonacci sequences, Awarded, March 2016
  19. Dr. Mansukh Premjibhai Arvadia, Ph.D., Study of the sequence of generalized Fibonacci numbers, Awarded, August 2016
  20. Dr. Kiranben Poonambhai Gajera, Ph.D., Ratios of various generalized Fibonacci numbers expressed as finite simple continued fractions, Awarded, Dec. 2016
  21. Dr. Gautam Suresh Hathiwala, Ph.D., Study of the sequence of Tetranacci numbers and its generalizations, Awarded, March 2018
  22. Dr. Rasikbhai Rajmal Shah, Ph.D., Building Timetables using mathematical modelling-based algorithms, Awarded, April, 2019
  23. Mansi Samirbhai Shah, M.Phil., Lucas Sequence: A flavour and a contribution, Awarded, Nov. 2016
  24. Khushbu Jayeshkumar Das, M.Phil., Study of Fibonacci sequence, its generalizations and the contribution, Awarded, June 2017
  25. Rima Pravinbhai Patel, M.Phil., Study of some generalized Fibonacci sequences, their periodicity and a contribution, Awarded, Sept. 2017
  26. Bilkis Mohammed Kasam Madni, M.Phil., Study of Pell’s equation and its applications, Awarded, Feb. 2018
  27. Kalindi Jagdishchandra Contractor, M.Phil., Golden proportion for the various generalization of Fibonacci numbers, Awarded, Feb. 2018
  28. Mansi Samirbhai Shah, Ph.D., Study of various generalized Fibonomial numbers , Thesis Submitted, Oct. 2021
  29. Khushbu Jayeshkumar Das, Ph.D., Binet-curves, subsequences and insertion of terms for various generalized Fibonacci sequences , Thesis Submitted, Nov. 2021
  30. Bilkis Mohammed Kasam Madni, Ph.D., Study of certain classes of Pell’s equations , Synopsis Submitted, Oct. 2021
  31. Rima Pravinbhai Patel, Ph.D., Study of periodicity of certain Fibonacci-like sequences, Synopsis Submitted, Dec. 2021
  32. Parimalkumar Amratbhai Patel, Ph.D., Study of sequences of certain Fibonacci-type numbers, Pursuing,
  33. Dhara B.Patel, M. Phil, Numerical aspects in the study of ground water recharge model through porous media, Awarded, January 2019
  34. Divya C. Lad, M. Phil, approach to study a system of linear differential equation in spread of epidemic model, Awarded, February 2019
  35. Girish P. Ghoghari, M. Phil, Brief study of system of linear differential equations with its applications, Awarded, May 2021
  36. Pratiksha A. More, Ph. D., Approximate Analytical approach in the study of immiscible fluid flow through porous media, Pursuing,
  37. Manan A. Maisuria, Ph. D., Mathematical modelling of pollutants transport in rivers and ground water, Pursuing,
  38. Anant S. Patel , Ph. D., Mathematical analysis of applications of differential equations based models: A fractional approach, Pursuing,
  39. Vahisht K. Tamboli, Ph. D., System of differential equations based models and their solutions using transform methods, Pursuing,
  40. Patel Gautam, M.Phil , The Semi Analytic Method for Solution of Linear Partial Differential Equations, Awarded, March, 2015
  41. Patel Vinita, M.Phil , Morphological Image processing of Colour Image, Awarded, May, 2017
  42. Patel Anant, M.Phil , 3D Construction of a Digital Image, Awarded, October, 2017
  43. Gheewala Brinda, M.Phil , Theoretical and practical aspects of Finite element method, Awarded, october, 2018
  44. Shah Keyuri, Ph.D., Numerical Solution of Epidemic and non-Epidemic model, Awarded, February - 2020
  45. Patel Gautam, Ph.D., “The Semi-Analytic Solution of Non-Linear Partial Differ- ential Equations Using Reproducing Kernel : Method of Lines”, Thesis Submitted,
  46. Patel Vinita, Ph.D., An algorithm for the Object Identification, Synopsis Submitted,
  47. Tejwani Ashok, Ph.D., Numerical simulation of optimal reservoir operation , Pursuing

Contact Us

Phone

0261-2227141-46

8799588384

Address

  • Veer Narmad South Gujarat University
    Department of Mathematics,

    Udhana Magdalla Road, Surat - 395 007
    Gujarat- India

E-Mail

office.dmt@vnsgu.ac.in

How To Reach?

M.Sc.(Mathematics)

M.Sc.(Mathematics)

Syllabus Download




Objective Of Program

The core objective of the M.Sc. Mathematics programme is to prepare the students for productive career in Education sector and academia by providing an outstanding environment of teaching and research in the core and emerging areas of the discipline.

Program Outcome

PO1. Provides knowledge of fundamentals of pure and applied mathematics.
PO2. Provide information about applications of Mathematics to the students that creates the opportunities in education , research centres and industries.
PO3. Provide strong foundation of mathematics to formulate, analyze and problem solving for advanced study and research.
PO4. Continue to acquire relevant knowledge and skills appropriate to professional activities and demonstrate highest standards of ethical issues in mathematical sciences.
PO5. Develop need based Mathematics teaching-learning resources.
PO6. Professionally inclined Mathematics educators who have sound knowledge of subject matter and specialized in constructivist & alternate pedagogy

Intake

Grant in Aid (GIA) : 63
HP : 13
Self-financed (SFI) :150

Program Duration

2 years (4 Semesters)

M.Sc.(Mathematics) Semester - I ▾
Course Code Course Title Outcome Credit
PGMTH- 101 Real Analysis-1

CO1. To develop an in-depth mathematical understanding of the theory of Real Analysis and Students will be able to give rigorous proofs of many theorems of real analysis.
CO2. They will be able to use these theorems to solve problems.
CO3. Ability to handle convergence of series and sequence of functions.
CO4. Ability to differentiate functions in Rn

 4
PGMTH-102 Complex Anaysis-I

CO1. In this course students will learn the algebra and geometry of complex numbers,
CO2. students should be able to check differentiability and the analyticity of complex valued function,
CO3. Student will learn Cauchy-Riemann relations and harmonic functions
CO4. Cauchy integral formula, general form of Cauchy theorem.
CO5. Fundamental theorem of Algebra, Maximum module Principle
CO6. Contour integrals related theorem and Examples.

 4
PGMTH=103 Topology-I

CO1. Students should be able to define topology and its construction.
CO2. Distinguish open and closed subset, Notions of connectedness and compactness.
CO3. Students will learn various properties of compact spaces
CO4. Distinguish Cover, Sub-cover, open cover, Basic and sub-basic open cover
CO5. Topological Spaces, compact spaces and connected spaces.

 4
PGMTH-104 Abstract Algebra-1

CO1. Acquaintance with the fundamental algebraic structures, namely Groups, Rings, Fields and Vector spaces.
CO2. Students will learn about Group theory, ring theory and modules.
CO3. students should be able to apply the conceptual structure of group theory
CO4. Distinguish Group and Ring
CO5. Distinguish Fields , Vector space, modules
CO6. To gain skill in problem solving and critical thinking.
CO7. Essential for further study of Algebra.

 4
PGMTH-105 Ordinary Differential equations-1

CO1. Students will learn about differential equations and its classifications.
CO2. Students should be able to classify nature of solutions for the second order linear differential equation, Existence of solutions of differential equations.
CO3. Students will learn the methodology to solve second order ordinary differential equations.
CO4. Understand the concept of Method of variation of parameters
CO5. Able to use Method of Laplace transforms.

 4
PGMTH-106 Numerical Anlysis-1

CO1. Students will able to find roots of equations/nonlinear equations.
CO2. Learn about the concept of Eigen values and Eigen vectors.
CO3. Learn about theory of interpolations.
CO4. Various interpolation method.
CO5. Implementing numerical methods algorithms.

 4
M.Sc.(Mathematics) Semester - II ▾
Course Code Course Title Outcome Credit
PGMTH- 201 Real Analysis-II

CO1. Summarize concepts of real analysis to enhance ability of analysing pure and applied mathematical problems.
CO2. Students will be able to give rigorous proofs of many theorems of convergence theorem related to Lebesgue integral.
CO3. Also they will be able to use these theorems to solve problems.
CO4. students should be able to appreciate the niceties provided by Lebesgue Integration theory.
CO5. LP Spaces, The Minkowski and Holder inequalities.

 4
PGMTH-202 Complex Anaysis-II

CO1. Students will learn about properties of power series
CO2. students should be able to find and classify Singularities,
CO3. Evaluation of residues and improper real integrals, Identify zeros and singular points of functions.
CO4. The will study about binomial transformations. Exponential Transformation, Trigonometric Transformation.
CO5. Upon completion of this unit, the student will be able to: Evaluate Complex integrals by applying Cauchy integral formula and various methods.

 4
PGMTH=203 Topology-II

CO1. Students will understand separation axioms.
CO2. Know about connected spaces and its properties
CO3. Having a grasp on basic results related to connectedness.
CO4. Student will distinguish and learn about Component of space, Totally Disconnected Space, locally connected space.

 4
PGMTH-204 Abstract Algebra-II

CO1. Summarize concepts of field theory to enhance ability of analysing pure and applied mathematical problems.
CO2. students should be able to play around fields and field extensions in a mathematical mature way.
CO3. They will also be able to appreciate role of algebra in solving some old classical problems of algebra.
CO4. Distinguish between Extension fields and Finite extension field and splitting fields
CO5. Distinguish between Algebraic extension, Algebraic number.
CO6. the student will be able to: Demonstrate Field extensions and characterization of finite normal extensions as splitting fields and study prime fields.
CO7. the student will be able to: Understand cyclotomis polynomials, cyclic extensions, Radical field extensions and Ruler & Compass constructions. Know the important applications of Galois Theory.

 4
PGMTH-205 Ordinary Differential equations-II

CO1. Identify the essential characteristics of Systems of first order Linear Differential Equations
CO2. Know about the existence and uniqueness of solutions.
CO3. Students should be able to solve system of linear differential equations.
CO4. Concept of fundamental Matrix.
CO5. Know about approximate method.

 4
PGMTH-206 Numerical Anlysis-II

CO1. Students will learn about Numerical differentiations and Integrations
CO2. Students will learn Single step methods, Multistep methods with Stability analysis .
CO3. Students should be able to apply various numerical methods available for different kinds of Initial value and boundary problems.
CO4. Students can be able to use suitable numerical methods for IVP and BVP.
CO5. They learn Shooting method, Finite difference methods.

 4
M.Sc.(Mathematics) Semester - III ▾
Course Code Course Title Outcome Credit
PGMTH-301 Functional Analysis-I

CO1.Students will learn properties of Banach spaces, 2.Normed spaces, and inner product spaces
CO3.Linear operators, bounded linear operator.
CO4. Difference between finite and infinite dimensional space, Banach space and Hilbert space
CO5. Computing the dual spaces of certain Banach spaces
CO6. Students will be able to appreciate the power of classical results of Functional Analysis.

 4
PGMTH-302 Differential Equations

CO1. Students will learn about the paffian differential equations and its applications.
CO2. Integral Surfaces Passing through a Given Curve, Surfaces Orthogonal to a Given System of Surfaces,
CO3. Nonlinear Partial Differential Equations of the First Order, Compatible Systems of First-order Equations, Charpit's Method,Jacobi's method
CO4. They study about applications of separation of variable method.
CO5. After successful completion of the course, students should be able to find the solutions of first and second order linear and non-linear partial differential equations.

 4
PGMTH-303 Calculus of Variations

CO1. Students will learn about the concept of Variations and its properties,
CO2. Functionals and its properties
CO3. Study Variational problem with a movable boundary for a functional dependent on two functions, One-Sided Variations, Reflection and Refraction
CO4. After successful completion of the course, students should be able to solve variational problems.

 4
PGMTH-304 Advanced Linear Algebra-I

CO1. Students will learn about properties of Vector space, Dual space, Algebra of linear transformations, Algebra of Matrices.
CO2. Determine a subspace, span, bases, row space ,column space and null space for vector space in nth dimension
CO3. identify linear transformations of finite dimensional vector spaces and compose their matrices in specific bases.
CO4. After successful completion of the course, students should be able to analyse the problems related to Linear a

 4
PGMTH3001 Fluid Dynamics

CO1. Students will learn about basic fundamentals of fluid dynamics such as Conservation Laws, Conservation of mass, momentum and energy.
CO2. Distinguish One dimensional, two dimensional and three dimensional flow.
CO3. Student will learn about Bernoulli Equation, Potential equation, Reynold’s transport theorem, Navier-stokes equation.
CO4. They familiar with the fluid statics, kinematics of fluid and dynamics of fluid.
CO5. Enhance ability of analyzing mathematical problems related to Fluid dynamics.

 4
PGMTH3002 Mathematical Software 4
PGMTH3003 Linear programming

CO1. Students will learn fundamentals of Linear Programming, Dynemic programming, Integer programing and sensitivity analysis.
CO2. Able to: Convert standard business problems into linear programming problems and can solve using simplex algorithm.
CO3. Students should be able to Identify and develop Linear programming problem of operational research models from the verbal description of the real System.
CO4. Formulate and solve a linear programming problem by simplex method.
CO5. They are able to apply Revised simplex method, Dynamic programming, Branch and Bound Techniques.

 4
PGMTH3004 PGMTH3004

CO1. Students will learn about inventory problem, PERT-CPM technique, Transportation problem and simulations
CO2. The student will be able to: Formulate and solve the Transportation problem.
CO3. The student will be able to solve LPP by PERT-CPM method
CO4. Students should be able to explore various Mathematical programming algorithms to solve real life problems.

 4
PGMTH3005 Integral Transforms-I

CO1. Students will learn about the basics of Laplace Transforms, Inverse Laplace Transforms, Finite Laplace Transforms
CO2. An application of Laplace transforms.
CO3. Students are able to solve the Ordinary and partial differential equations using Laplace transforms.
CO4. Students are able to solve Initial and boundary value problems and Integral equations.

 4
PGMTH3006 Advanced Integral Transforms-I

CO1. Students will learn about Hankel transform, Finite Hankel transforms ,
CO2. Also learn Hilbert and Stieltjes transforms.
CO3. Students will learn applications of all these transformation
CO4. Students are able to solve the partial differential equations using Hankel transforms.
CO5. Students are able to solve various differential equations using Hilbert and Stieltjes transforms.

 4
PGMTH3007 Advanced Number Theory-I

1. Students will learn about Primitive roots and Indices,
CO2. The Quadratic Reciprocity Low,
CO3. Fibonacci numbers and its properties.
CO4. Able to solve problems and theorems of number theory.

 4
PGMTH3008 Analytic Number Theory

CO1. Students know about Arithmetic functions, Dirichlet multiplication and elementary theorems on Prime numbers.
CO2. Chebyshev’s functions, divisor functions 𝑑(𝑛) , Mangöldt function, Abel’s identity
CO3. Students are able to analyze the number theoretic problems.

 4
PGMTH3009 Special Functions-I 4
PGMTH3010 Advanced Special Functions-I

CO1. Students will learn about Generalized Hypergeometric functions,
CO2. Study about Bessel Functions and its various properties, the Confluent Hypergeometric function and its application.
CO3. Concept of Generating functions and its utilization
CO4. Enhance the ability to prove the complicated theorem.

 4
M.Sc.(Mathematics) Semester - IV ▾
Course Code Course Title Outcome Credit
PGMTH-401 Functional Analysis-II

CO1. Students should be able to appreciate the Hilbert space theory and the Hahn-Banach Theorem. They will also have close encounter with normal, unitary and self adjointoperators .
CO2. The student will be able to: Characterize the category of normed spaces using Category theorem and differentiate weak and pointwise convergence of linear operators.
CO3. Upon completion of this unit, the student will be able to: Demonstrate Spectral properties of Bounded Linear Operators
CO4. The student will be able to: Understand Banach algebras, Demonstrate spectral properties of compact linear operators.
CO5. The student will be able to: Study Operator equations involving Compact linear operators.

 4
PGMTH-402 Differential Geometry

CO1. Students will learn about Curvatures, tangent, Involutes, Evolutes and developable surfaces.
CO2. To be able to compute the curvature and torsion of space curves.
CO3. To be able to understand the fundamental theorem for space curves
CO4. Students should be able to build up Geometry Intuition by incorporating classical curves and related results along with this course.

 4
PGMTH-403 Integral Equations

CO1. Students will learn about Integral equations and related results and theorems.
CO2. Students should be able to classify the Integral equations
CO3. They are able to apply the methods and concepts to solve integral equations.
CO4. Students will be able to recognize difference between Volterra and Fredholm Integral Equations, First kind and Second kind, homogeneous and inhomogeneous etc.
CO5. They apply different methods to solve Integral Equations.

 4
PGMTH-404 Advanced Linear Algebra-I

CO1. Students will learn about Canonical forms , Linear transformations related with matrix theory.
CO2. Apply principles of matrix algebra to linear transformations.
CO3. Demonstrate understanding of inner products and associated norms
CO4. Students should be able to solve problems related to matrices and linear equation, to follow complex logical arguments and develop modest logical arguments.

 4
PGMTH4001 Computational Fluid Dynamics

1. Students will learn about various methods for solving Heat equations,
CO2. Wave equations, Laplace equations and poison equations.
CO3. Should be able to solve any Partial differential equations related to fluid dynamics using mathematical software and promming.
CO4. Provide the student with a significant level of experience in the use of modern CFD software for the analysis of complex fluid- flow systems.
CO5. Improve the student’s understanding of the basic principles of fluid mechanics.
CO6. Improve the student’s research and communication skills using
COa self-directed, detailed study of a complex fluid-flow problem and to communicate the results in written form.

 4
PGMTH4002 Mathematical Modelling 4
PGMTH4003 Non-Linear programming

CO1.Students will learn about various non-linear programming methods and optimization methods.
CO2. Students are able to solve any real life problems through non-linear programming .
CO3. Enhance the ability to analyze the industrial problems

 4
PGMTH4004 Advanced Operation Research

CO1. Students will learn about Queuing theory related problems
CO2. Students will learn about sequencing problems and its solution process
CO3. Students will learn about Theory of replacement and its utilities
CO4. Students will learn about Games and strategies and its applications
CO5. Students are able to formulate and analyse the real world problems.

 4
PGMTH4005 Integral Transforms-II

CO1. Students will learn about complex Fourier transforms and its properties
CO2. Students will learn about Fourier cosine and sine transforms and its properties
CO3. Students will learn about Finite Fourier , finite forier cosine and sine transforms and its properties
CO4. Students should be able to solve partial differential equations by these transforms.

 4
PGMTH4006 Advanced Integral Transforms-II

CO1. Students will learn about Mellin transforms and its properties
CO2. Students will learn about Z-transforms and its propertie
CO3. Students will learn about Inverse Z transforms and its properties
CO4. Students will learn about applications of all these transformations
CO5. Students should be able to solve difference equations

 4
PGMTH4007 Advanced Number Theory-II

CO1. Students will learn about continued fractions,
CO2. Students will learn about Diophantine equations and its properties
CO3. Representation of integers as sum of squares and its applicability
CO4. Enhance the logical ability of the students

 4
PGMTH4008 Introduction to Partition Theory and Cryptography

CO1. Students will learn about Partition theory and Cryptography
CO2. Enhance the logical ability of the students
CO3. Enhance the ability to use the partition theory and cryptography in real life applications.

 4
PGMTH4009 Special Functions-II 4
PGMTH4010 Advanced Special Functions-II

CO1. Students will learn about Laguerre polynomials and its properties
CO2. Students will learn about Jacobi polynomials and its properties,
CO3. Students will learn about Elliptic functions and its properties.
CO4. Perform operations with orthogonal polynomials, Legendre’s polynomial and Laguerre polynomial with their differential equations along with the corresponding
CO5. Students should be think logically in specific direction

 4

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Grant in Aid (GIA) Higher Payment Self Finance (SFI)
Boys Rs. 4435/- Rs. 19435/- Rs. 19435/-
Girls Rs. 1935/- Rs. 16935/- Rs. 16935/-

*Subject to Revision Periodically

M. Sc. Mathematics (Evening)

M.Sc. Mathematics (Evening)

Syllabus Download




Objective Of Program

Program Outcome

Intake:75

Program Duration

2 years (4 Semesters)

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Self Finance (SFI)
Boys Rs. 19435/-
Girls Rs. 16935/-

*Subject to Revision Periodically

Ph.D. (Mathematics)

Ph.D (Mathematics )

Syllabus Download




Objective Of Program

Ph.D. Programme in Mathematics is aimed towards promoting good research useful to the society through knowledge of Mathematics. The researcher will be able to various types of research projects in the benefit of society.

Intake

Depends on availablity of the supervisor

Ph.D. (MATHEMATICS) Course Work ▾
Course Code Course Title Outcome Credit
Paper-1 Research Methodology
  • CO1: Students will get comprehensive knowledge of computer programming language.
  • CO2: Students will learn about Numerical differentiations and Integrations.
  • CO3: Students will learn about toidentify Inventory problem, Transportation problems.
  • CO4: Students will learn about Hankel transform, Finite Hankel transforms and its applications.
  • CO5: Students will learn about Gamma and Beta Functions.
 4
Paper-2 Fundamental of Mathematics
  • CO1: Students will learn about Complex Analysis and Real Analysis
  • CO2: Students will learn about Algebra and Linear Algebra
  • CO3: Students will learn about Ordinary and Partial Differential Equations
  • CO4: Students will learn about Mathematical Methods
  • CO5: Students will learn about to analyse the problems of various fields
 4
Paper-3 Special paper(Select any one of the following papers ) I. Methods of weighted Residules and collocation method
  • CO1: Students will learn about Collocation method.
  • CO2: Students will learn about Sub-domain method.
  • CO3: Students will learn about Least Squares method.
  • CO4: Students will learn about Galerkin method and Method of moments.
  • CO5: Students will able to solve Boundary Value Problems
 4
Paper-3 II. Symmetries of Differential Equations
  • CO1: Students will learn about basics of Dimensional Analysis.
  • CO2: Students will learn about Mathematical modelling.
  • CO3: Students will learn about to use Buckingham Pi-Theorem
  • CO4: Students will learn about assumptions of Dimensional Analysis.
  • CO5: Students will learn about applications of Dimensional Analysis.
 4
Paper-3 III. Symmetries of Differential Equations
  • CO1: Students will learn about Shooting method
  • CO2: Students will learn about Derivative boundary conditions
  • CO3: Students will learn about Rayleigh-Ritz, Galerkin methods,
  • CO4: Students will learn about the Finite-Element method
  • CO5: Students will learn to apply methods.
 4
Paper-3 IV. Elements Number Theory
  • CO1: To make students familiar with the historical works.
  • CO2: To make students familiar with the basic concepts of divisibility, congruences and prime numbers.
  • CO3: To make them learn methods of computation in number theory and investigate conjectures.
  • CO4: To show the importance and uncertainty of conjectures.
  • CO5: To solve number-theoretical problems and answer conceptual questions.
 4

Eligibility Criteria

Master Degree in Mathematics.

Admission Details

Admission is on the basis of the UGC NET/JRF, GSET & result of entrance test conducted by University and followed by presentation of research proposal before the Research Advisory Committee (RAC).

Reservation Policy

As per University norms

Fee Structure *

*Subject to Revision Periodically

M.Sc.(Mathematics)

M.Sc.(Mathematics)

Syllabus Download




Objective Of Program

The core objective of the M.Sc. Mathematics programme is to prepare the students for productive career in Education sector and academia by providing an outstanding environment of teaching and research in the core and emerging areas of the discipline.

Program Outcome

PO1. Provides knowledge of fundamentals of pure and applied mathematics.
PO2. Provide information about applications of Mathematics to the students that creates the opportunities in education , research centres and industries.
PO3. Provide strong foundation of mathematics to formulate, analyze and problem solving for advanced study and research.
PO4. Continue to acquire relevant knowledge and skills appropriate to professional activities and demonstrate highest standards of ethical issues in mathematical sciences.
PO5. Develop need based Mathematics teaching-learning resources.
PO6. Professionally inclined Mathematics educators who have sound knowledge of subject matter and specialized in constructivist & alternate pedagogy

Intake

Grant in Aid (GIA) : 63
HP : 13
Self-financed (SFI) :150

Program Duration

2 years (4 Semesters)

M.Sc.(Mathematics) Semester - I ▾
Course Code Course Title Outcome Credit
PGMTH- 101 Real Analysis-1

CO1. To develop an in-depth mathematical understanding of the theory of Real Analysis and Students will be able to give rigorous proofs of many theorems of real analysis.
CO2. They will be able to use these theorems to solve problems.
CO3. Ability to handle convergence of series and sequence of functions.
CO4. Ability to differentiate functions in Rn

 4
PGMTH-102 Complex Anaysis-I

CO1. In this course students will learn the algebra and geometry of complex numbers,
CO2. students should be able to check differentiability and the analyticity of complex valued function,
CO3. Student will learn Cauchy-Riemann relations and harmonic functions
CO4. Cauchy integral formula, general form of Cauchy theorem.
CO5. Fundamental theorem of Algebra, Maximum module Principle
CO6. Contour integrals related theorem and Examples.

 4
PGMTH=103 Topology-I

CO1. Students should be able to define topology and its construction.
CO2. Distinguish open and closed subset, Notions of connectedness and compactness.
CO3. Students will learn various properties of compact spaces
CO4. Distinguish Cover, Sub-cover, open cover, Basic and sub-basic open cover
CO5. Topological Spaces, compact spaces and connected spaces.

 4
PGMTH-104 Abstract Algebra-1

CO1. Acquaintance with the fundamental algebraic structures, namely Groups, Rings, Fields and Vector spaces.
CO2. Students will learn about Group theory, ring theory and modules.
CO3. students should be able to apply the conceptual structure of group theory
CO4. Distinguish Group and Ring
CO5. Distinguish Fields , Vector space, modules
CO6. To gain skill in problem solving and critical thinking.
CO7. Essential for further study of Algebra.

 4
PGMTH-105 Ordinary Differential equations-1

CO1. Students will learn about differential equations and its classifications.
CO2. Students should be able to classify nature of solutions for the second order linear differential equation, Existence of solutions of differential equations.
CO3. Students will learn the methodology to solve second order ordinary differential equations.
CO4. Understand the concept of Method of variation of parameters
CO5. Able to use Method of Laplace transforms.

 4
PGMTH-106 Numerical Anlysis-1

CO1. Students will able to find roots of equations/nonlinear equations.
CO2. Learn about the concept of Eigen values and Eigen vectors.
CO3. Learn about theory of interpolations.
CO4. Various interpolation method.
CO5. Implementing numerical methods algorithms.

 4
M.Sc.(Mathematics) Semester - II ▾
Course Code Course Title Outcome Credit
PGMTH- 201 Real Analysis-II

CO1. Summarize concepts of real analysis to enhance ability of analysing pure and applied mathematical problems.
CO2. Students will be able to give rigorous proofs of many theorems of convergence theorem related to Lebesgue integral.
CO3. Also they will be able to use these theorems to solve problems.
CO4. students should be able to appreciate the niceties provided by Lebesgue Integration theory.
CO5. LP Spaces, The Minkowski and Holder inequalities.

 4
PGMTH-202 Complex Anaysis-II

CO1. Students will learn about properties of power series
CO2. students should be able to find and classify Singularities,
CO3. Evaluation of residues and improper real integrals, Identify zeros and singular points of functions.
CO4. The will study about binomial transformations. Exponential Transformation, Trigonometric Transformation.
CO5. Upon completion of this unit, the student will be able to: Evaluate Complex integrals by applying Cauchy integral formula and various methods.

 4
PGMTH=203 Topology-II

CO1. Students will understand separation axioms.
CO2. Know about connected spaces and its properties
CO3. Having a grasp on basic results related to connectedness.
CO4. Student will distinguish and learn about Component of space, Totally Disconnected Space, locally connected space.

 4
PGMTH-204 Abstract Algebra-II

CO1. Summarize concepts of field theory to enhance ability of analysing pure and applied mathematical problems.
CO2. students should be able to play around fields and field extensions in a mathematical mature way.
CO3. They will also be able to appreciate role of algebra in solving some old classical problems of algebra.
CO4. Distinguish between Extension fields and Finite extension field and splitting fields
CO5. Distinguish between Algebraic extension, Algebraic number.
CO6. the student will be able to: Demonstrate Field extensions and characterization of finite normal extensions as splitting fields and study prime fields.
CO7. the student will be able to: Understand cyclotomis polynomials, cyclic extensions, Radical field extensions and Ruler & Compass constructions. Know the important applications of Galois Theory.

 4
PGMTH-205 Ordinary Differential equations-II

CO1. Identify the essential characteristics of Systems of first order Linear Differential Equations
CO2. Know about the existence and uniqueness of solutions.
CO3. Students should be able to solve system of linear differential equations.
CO4. Concept of fundamental Matrix.
CO5. Know about approximate method.

 4
PGMTH-206 Numerical Anlysis-II

CO1. Students will learn about Numerical differentiations and Integrations
CO2. Students will learn Single step methods, Multistep methods with Stability analysis .
CO3. Students should be able to apply various numerical methods available for different kinds of Initial value and boundary problems.
CO4. Students can be able to use suitable numerical methods for IVP and BVP.
CO5. They learn Shooting method, Finite difference methods.

 4
M.Sc.(Mathematics) Semester - III ▾
Course Code Course Title Outcome Credit
PGMTH-301 Functional Analysis-I

CO1.Students will learn properties of Banach spaces, 2.Normed spaces, and inner product spaces
CO3.Linear operators, bounded linear operator.
CO4. Difference between finite and infinite dimensional space, Banach space and Hilbert space
CO5. Computing the dual spaces of certain Banach spaces
CO6. Students will be able to appreciate the power of classical results of Functional Analysis.

 4
PGMTH-302 Differential Equations

CO1. Students will learn about the paffian differential equations and its applications.
CO2. Integral Surfaces Passing through a Given Curve, Surfaces Orthogonal to a Given System of Surfaces,
CO3. Nonlinear Partial Differential Equations of the First Order, Compatible Systems of First-order Equations, Charpit's Method,Jacobi's method
CO4. They study about applications of separation of variable method.
CO5. After successful completion of the course, students should be able to find the solutions of first and second order linear and non-linear partial differential equations.

 4
PGMTH-303 Calculus of Variations

CO1. Students will learn about the concept of Variations and its properties,
CO2. Functionals and its properties
CO3. Study Variational problem with a movable boundary for a functional dependent on two functions, One-Sided Variations, Reflection and Refraction
CO4. After successful completion of the course, students should be able to solve variational problems.

 4
PGMTH-304 Advanced Linear Algebra-I

CO1. Students will learn about properties of Vector space, Dual space, Algebra of linear transformations, Algebra of Matrices.
CO2. Determine a subspace, span, bases, row space ,column space and null space for vector space in nth dimension
CO3. identify linear transformations of finite dimensional vector spaces and compose their matrices in specific bases.
CO4. After successful completion of the course, students should be able to analyse the problems related to Linear a

 4
PGMTH3001 Fluid Dynamics

CO1. Students will learn about basic fundamentals of fluid dynamics such as Conservation Laws, Conservation of mass, momentum and energy.
CO2. Distinguish One dimensional, two dimensional and three dimensional flow.
CO3. Student will learn about Bernoulli Equation, Potential equation, Reynold’s transport theorem, Navier-stokes equation.
CO4. They familiar with the fluid statics, kinematics of fluid and dynamics of fluid.
CO5. Enhance ability of analyzing mathematical problems related to Fluid dynamics.

 4
PGMTH3002 Mathematical Software 4
PGMTH3003 Linear programming

CO1. Students will learn fundamentals of Linear Programming, Dynemic programming, Integer programing and sensitivity analysis.
CO2. Able to: Convert standard business problems into linear programming problems and can solve using simplex algorithm.
CO3. Students should be able to Identify and develop Linear programming problem of operational research models from the verbal description of the real System.
CO4. Formulate and solve a linear programming problem by simplex method.
CO5. They are able to apply Revised simplex method, Dynamic programming, Branch and Bound Techniques.

 4
PGMTH3004 PGMTH3004

CO1. Students will learn about inventory problem, PERT-CPM technique, Transportation problem and simulations
CO2. The student will be able to: Formulate and solve the Transportation problem.
CO3. The student will be able to solve LPP by PERT-CPM method
CO4. Students should be able to explore various Mathematical programming algorithms to solve real life problems.

 4
PGMTH3005 Integral Transforms-I

CO1. Students will learn about the basics of Laplace Transforms, Inverse Laplace Transforms, Finite Laplace Transforms
CO2. An application of Laplace transforms.
CO3. Students are able to solve the Ordinary and partial differential equations using Laplace transforms.
CO4. Students are able to solve Initial and boundary value problems and Integral equations.

 4
PGMTH3006 Advanced Integral Transforms-I

CO1. Students will learn about Hankel transform, Finite Hankel transforms ,
CO2. Also learn Hilbert and Stieltjes transforms.
CO3. Students will learn applications of all these transformation
CO4. Students are able to solve the partial differential equations using Hankel transforms.
CO5. Students are able to solve various differential equations using Hilbert and Stieltjes transforms.

 4
PGMTH3007 Advanced Number Theory-I

1. Students will learn about Primitive roots and Indices,
CO2. The Quadratic Reciprocity Low,
CO3. Fibonacci numbers and its properties.
CO4. Able to solve problems and theorems of number theory.

 4
PGMTH3008 Analytic Number Theory

CO1. Students know about Arithmetic functions, Dirichlet multiplication and elementary theorems on Prime numbers.
CO2. Chebyshev’s functions, divisor functions 𝑑(𝑛) , Mangöldt function, Abel’s identity
CO3. Students are able to analyze the number theoretic problems.

 4
PGMTH3009 Special Functions-I 4
PGMTH3010 Advanced Special Functions-I

CO1. Students will learn about Generalized Hypergeometric functions,
CO2. Study about Bessel Functions and its various properties, the Confluent Hypergeometric function and its application.
CO3. Concept of Generating functions and its utilization
CO4. Enhance the ability to prove the complicated theorem.

 4
M.Sc.(Mathematics) Semester - IV ▾
Course Code Course Title Outcome Credit
PGMTH-401 Functional Analysis-II

CO1. Students should be able to appreciate the Hilbert space theory and the Hahn-Banach Theorem. They will also have close encounter with normal, unitary and self adjointoperators .
CO2. The student will be able to: Characterize the category of normed spaces using Category theorem and differentiate weak and pointwise convergence of linear operators.
CO3. Upon completion of this unit, the student will be able to: Demonstrate Spectral properties of Bounded Linear Operators
CO4. The student will be able to: Understand Banach algebras, Demonstrate spectral properties of compact linear operators.
CO5. The student will be able to: Study Operator equations involving Compact linear operators.

 4
PGMTH-402 Differential Geometry

CO1. Students will learn about Curvatures, tangent, Involutes, Evolutes and developable surfaces.
CO2. To be able to compute the curvature and torsion of space curves.
CO3. To be able to understand the fundamental theorem for space curves
CO4. Students should be able to build up Geometry Intuition by incorporating classical curves and related results along with this course.

 4
PGMTH-403 Integral Equations

CO1. Students will learn about Integral equations and related results and theorems.
CO2. Students should be able to classify the Integral equations
CO3. They are able to apply the methods and concepts to solve integral equations.
CO4. Students will be able to recognize difference between Volterra and Fredholm Integral Equations, First kind and Second kind, homogeneous and inhomogeneous etc.
CO5. They apply different methods to solve Integral Equations.

 4
PGMTH-404 Advanced Linear Algebra-I

CO1. Students will learn about Canonical forms , Linear transformations related with matrix theory.
CO2. Apply principles of matrix algebra to linear transformations.
CO3. Demonstrate understanding of inner products and associated norms
CO4. Students should be able to solve problems related to matrices and linear equation, to follow complex logical arguments and develop modest logical arguments.

 4
PGMTH4001 Computational Fluid Dynamics

1. Students will learn about various methods for solving Heat equations,
CO2. Wave equations, Laplace equations and poison equations.
CO3. Should be able to solve any Partial differential equations related to fluid dynamics using mathematical software and promming.
CO4. Provide the student with a significant level of experience in the use of modern CFD software for the analysis of complex fluid- flow systems.
CO5. Improve the student’s understanding of the basic principles of fluid mechanics.
CO6. Improve the student’s research and communication skills using
COa self-directed, detailed study of a complex fluid-flow problem and to communicate the results in written form.

 4
PGMTH4002 Mathematical Modelling 4
PGMTH4003 Non-Linear programming

CO1.Students will learn about various non-linear programming methods and optimization methods.
CO2. Students are able to solve any real life problems through non-linear programming .
CO3. Enhance the ability to analyze the industrial problems

 4
PGMTH4004 Advanced Operation Research

CO1. Students will learn about Queuing theory related problems
CO2. Students will learn about sequencing problems and its solution process
CO3. Students will learn about Theory of replacement and its utilities
CO4. Students will learn about Games and strategies and its applications
CO5. Students are able to formulate and analyse the real world problems.

 4
PGMTH4005 Integral Transforms-II

CO1. Students will learn about complex Fourier transforms and its properties
CO2. Students will learn about Fourier cosine and sine transforms and its properties
CO3. Students will learn about Finite Fourier , finite forier cosine and sine transforms and its properties
CO4. Students should be able to solve partial differential equations by these transforms.

 4
PGMTH4006 Advanced Integral Transforms-II

CO1. Students will learn about Mellin transforms and its properties
CO2. Students will learn about Z-transforms and its propertie
CO3. Students will learn about Inverse Z transforms and its properties
CO4. Students will learn about applications of all these transformations
CO5. Students should be able to solve difference equations

 4
PGMTH4007 Advanced Number Theory-II

CO1. Students will learn about continued fractions,
CO2. Students will learn about Diophantine equations and its properties
CO3. Representation of integers as sum of squares and its applicability
CO4. Enhance the logical ability of the students

 4
PGMTH4008 Introduction to Partition Theory and Cryptography

CO1. Students will learn about Partition theory and Cryptography
CO2. Enhance the logical ability of the students
CO3. Enhance the ability to use the partition theory and cryptography in real life applications.

 4
PGMTH4009 Special Functions-II 4
PGMTH4010 Advanced Special Functions-II

CO1. Students will learn about Laguerre polynomials and its properties
CO2. Students will learn about Jacobi polynomials and its properties,
CO3. Students will learn about Elliptic functions and its properties.
CO4. Perform operations with orthogonal polynomials, Legendre’s polynomial and Laguerre polynomial with their differential equations along with the corresponding
CO5. Students should be think logically in specific direction

 4

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Grant in Aid (GIA) Higher Payment Self Finance (SFI)
Boys Rs. 4435/- Rs. 19435/- Rs. 19435/-
Girls Rs. 1935/- Rs. 16935/- Rs. 16935/-

*Subject to Revision Periodically

M. Sc. Mathematics (Evening)

M.Sc. Mathematics (Evening)

Syllabus Download




Objective Of Program

Program Outcome

Intake:75

Program Duration

2 years (4 Semesters)

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Self Finance (SFI)
Boys Rs. 19435/-
Girls Rs. 16935/-

*Subject to Revision Periodically

Ph.D. (Mathematics)

Ph.D (Mathematics )

Syllabus Download




Objective Of Program

Ph.D. Programme in Mathematics is aimed towards promoting good research useful to the society through knowledge of Mathematics. The researcher will be able to various types of research projects in the benefit of society.

Intake

Depends on availablity of the supervisor

Ph.D. (MATHEMATICS) Course Work ▾
Course Code Course Title Outcome Credit
Paper-1 Research Methodology
  • CO1: Students will get comprehensive knowledge of computer programming language.
  • CO2: Students will learn about Numerical differentiations and Integrations.
  • CO3: Students will learn about toidentify Inventory problem, Transportation problems.
  • CO4: Students will learn about Hankel transform, Finite Hankel transforms and its applications.
  • CO5: Students will learn about Gamma and Beta Functions.
 4
Paper-2 Fundamental of Mathematics
  • CO1: Students will learn about Complex Analysis and Real Analysis
  • CO2: Students will learn about Algebra and Linear Algebra
  • CO3: Students will learn about Ordinary and Partial Differential Equations
  • CO4: Students will learn about Mathematical Methods
  • CO5: Students will learn about to analyse the problems of various fields
 4
Paper-3 Special paper(Select any one of the following papers ) I. Methods of weighted Residules and collocation method
  • CO1: Students will learn about Collocation method.
  • CO2: Students will learn about Sub-domain method.
  • CO3: Students will learn about Least Squares method.
  • CO4: Students will learn about Galerkin method and Method of moments.
  • CO5: Students will able to solve Boundary Value Problems
 4
Paper-3 II. Symmetries of Differential Equations
  • CO1: Students will learn about basics of Dimensional Analysis.
  • CO2: Students will learn about Mathematical modelling.
  • CO3: Students will learn about to use Buckingham Pi-Theorem
  • CO4: Students will learn about assumptions of Dimensional Analysis.
  • CO5: Students will learn about applications of Dimensional Analysis.
 4
Paper-3 III. Symmetries of Differential Equations
  • CO1: Students will learn about Shooting method
  • CO2: Students will learn about Derivative boundary conditions
  • CO3: Students will learn about Rayleigh-Ritz, Galerkin methods,
  • CO4: Students will learn about the Finite-Element method
  • CO5: Students will learn to apply methods.
 4
Paper-3 IV. Elements Number Theory
  • CO1: To make students familiar with the historical works.
  • CO2: To make students familiar with the basic concepts of divisibility, congruences and prime numbers.
  • CO3: To make them learn methods of computation in number theory and investigate conjectures.
  • CO4: To show the importance and uncertainty of conjectures.
  • CO5: To solve number-theoretical problems and answer conceptual questions.
 4

Eligibility Criteria

Master Degree in Mathematics.

Admission Details

Admission is on the basis of the UGC NET/JRF, GSET & result of entrance test conducted by University and followed by presentation of research proposal before the Research Advisory Committee (RAC).

Reservation Policy

As per University norms

Fee Structure *

*Subject to Revision Periodically

M.Sc.(Mathematics)

M.Sc.(Mathematics)

Syllabus Download




Objective Of Program

The core objective of the M.Sc. Mathematics programme is to prepare the students for productive career in Education sector and academia by providing an outstanding environment of teaching and research in the core and emerging areas of the discipline.

Program Outcome

PO1. Provides knowledge of fundamentals of pure and applied mathematics.
PO2. Provide information about applications of Mathematics to the students that creates the opportunities in education , research centres and industries.
PO3. Provide strong foundation of mathematics to formulate, analyze and problem solving for advanced study and research.
PO4. Continue to acquire relevant knowledge and skills appropriate to professional activities and demonstrate highest standards of ethical issues in mathematical sciences.
PO5. Develop need based Mathematics teaching-learning resources.
PO6. Professionally inclined Mathematics educators who have sound knowledge of subject matter and specialized in constructivist & alternate pedagogy

Intake

Grant in Aid (GIA) : 63
HP : 13
Self-financed (SFI) :150

Program Duration

2 years (4 Semesters)

M.Sc.(Mathematics) Semester - I ▾
Course Code Course Title Outcome Credit
PGMTH- 101 Real Analysis-1

CO1. To develop an in-depth mathematical understanding of the theory of Real Analysis and Students will be able to give rigorous proofs of many theorems of real analysis.
CO2. They will be able to use these theorems to solve problems.
CO3. Ability to handle convergence of series and sequence of functions.
CO4. Ability to differentiate functions in Rn

 4
PGMTH-102 Complex Anaysis-I

CO1. In this course students will learn the algebra and geometry of complex numbers,
CO2. students should be able to check differentiability and the analyticity of complex valued function,
CO3. Student will learn Cauchy-Riemann relations and harmonic functions
CO4. Cauchy integral formula, general form of Cauchy theorem.
CO5. Fundamental theorem of Algebra, Maximum module Principle
CO6. Contour integrals related theorem and Examples.

 4
PGMTH=103 Topology-I

CO1. Students should be able to define topology and its construction.
CO2. Distinguish open and closed subset, Notions of connectedness and compactness.
CO3. Students will learn various properties of compact spaces
CO4. Distinguish Cover, Sub-cover, open cover, Basic and sub-basic open cover
CO5. Topological Spaces, compact spaces and connected spaces.

 4
PGMTH-104 Abstract Algebra-1

CO1. Acquaintance with the fundamental algebraic structures, namely Groups, Rings, Fields and Vector spaces.
CO2. Students will learn about Group theory, ring theory and modules.
CO3. students should be able to apply the conceptual structure of group theory
CO4. Distinguish Group and Ring
CO5. Distinguish Fields , Vector space, modules
CO6. To gain skill in problem solving and critical thinking.
CO7. Essential for further study of Algebra.

 4
PGMTH-105 Ordinary Differential equations-1

CO1. Students will learn about differential equations and its classifications.
CO2. Students should be able to classify nature of solutions for the second order linear differential equation, Existence of solutions of differential equations.
CO3. Students will learn the methodology to solve second order ordinary differential equations.
CO4. Understand the concept of Method of variation of parameters
CO5. Able to use Method of Laplace transforms.

 4
PGMTH-106 Numerical Anlysis-1

CO1. Students will able to find roots of equations/nonlinear equations.
CO2. Learn about the concept of Eigen values and Eigen vectors.
CO3. Learn about theory of interpolations.
CO4. Various interpolation method.
CO5. Implementing numerical methods algorithms.

 4
M.Sc.(Mathematics) Semester - II ▾
Course Code Course Title Outcome Credit
PGMTH- 201 Real Analysis-II

CO1. Summarize concepts of real analysis to enhance ability of analysing pure and applied mathematical problems.
CO2. Students will be able to give rigorous proofs of many theorems of convergence theorem related to Lebesgue integral.
CO3. Also they will be able to use these theorems to solve problems.
CO4. students should be able to appreciate the niceties provided by Lebesgue Integration theory.
CO5. LP Spaces, The Minkowski and Holder inequalities.

 4
PGMTH-202 Complex Anaysis-II

CO1. Students will learn about properties of power series
CO2. students should be able to find and classify Singularities,
CO3. Evaluation of residues and improper real integrals, Identify zeros and singular points of functions.
CO4. The will study about binomial transformations. Exponential Transformation, Trigonometric Transformation.
CO5. Upon completion of this unit, the student will be able to: Evaluate Complex integrals by applying Cauchy integral formula and various methods.

 4
PGMTH=203 Topology-II

CO1. Students will understand separation axioms.
CO2. Know about connected spaces and its properties
CO3. Having a grasp on basic results related to connectedness.
CO4. Student will distinguish and learn about Component of space, Totally Disconnected Space, locally connected space.

 4
PGMTH-204 Abstract Algebra-II

CO1. Summarize concepts of field theory to enhance ability of analysing pure and applied mathematical problems.
CO2. students should be able to play around fields and field extensions in a mathematical mature way.
CO3. They will also be able to appreciate role of algebra in solving some old classical problems of algebra.
CO4. Distinguish between Extension fields and Finite extension field and splitting fields
CO5. Distinguish between Algebraic extension, Algebraic number.
CO6. the student will be able to: Demonstrate Field extensions and characterization of finite normal extensions as splitting fields and study prime fields.
CO7. the student will be able to: Understand cyclotomis polynomials, cyclic extensions, Radical field extensions and Ruler & Compass constructions. Know the important applications of Galois Theory.

 4
PGMTH-205 Ordinary Differential equations-II

CO1. Identify the essential characteristics of Systems of first order Linear Differential Equations
CO2. Know about the existence and uniqueness of solutions.
CO3. Students should be able to solve system of linear differential equations.
CO4. Concept of fundamental Matrix.
CO5. Know about approximate method.

 4
PGMTH-206 Numerical Anlysis-II

CO1. Students will learn about Numerical differentiations and Integrations
CO2. Students will learn Single step methods, Multistep methods with Stability analysis .
CO3. Students should be able to apply various numerical methods available for different kinds of Initial value and boundary problems.
CO4. Students can be able to use suitable numerical methods for IVP and BVP.
CO5. They learn Shooting method, Finite difference methods.

 4
M.Sc.(Mathematics) Semester - III ▾
Course Code Course Title Outcome Credit
PGMTH-301 Functional Analysis-I

CO1.Students will learn properties of Banach spaces, 2.Normed spaces, and inner product spaces
CO3.Linear operators, bounded linear operator.
CO4. Difference between finite and infinite dimensional space, Banach space and Hilbert space
CO5. Computing the dual spaces of certain Banach spaces
CO6. Students will be able to appreciate the power of classical results of Functional Analysis.

 4
PGMTH-302 Differential Equations

CO1. Students will learn about the paffian differential equations and its applications.
CO2. Integral Surfaces Passing through a Given Curve, Surfaces Orthogonal to a Given System of Surfaces,
CO3. Nonlinear Partial Differential Equations of the First Order, Compatible Systems of First-order Equations, Charpit's Method,Jacobi's method
CO4. They study about applications of separation of variable method.
CO5. After successful completion of the course, students should be able to find the solutions of first and second order linear and non-linear partial differential equations.

 4
PGMTH-303 Calculus of Variations

CO1. Students will learn about the concept of Variations and its properties,
CO2. Functionals and its properties
CO3. Study Variational problem with a movable boundary for a functional dependent on two functions, One-Sided Variations, Reflection and Refraction
CO4. After successful completion of the course, students should be able to solve variational problems.

 4
PGMTH-304 Advanced Linear Algebra-I

CO1. Students will learn about properties of Vector space, Dual space, Algebra of linear transformations, Algebra of Matrices.
CO2. Determine a subspace, span, bases, row space ,column space and null space for vector space in nth dimension
CO3. identify linear transformations of finite dimensional vector spaces and compose their matrices in specific bases.
CO4. After successful completion of the course, students should be able to analyse the problems related to Linear a

 4
PGMTH3001 Fluid Dynamics

CO1. Students will learn about basic fundamentals of fluid dynamics such as Conservation Laws, Conservation of mass, momentum and energy.
CO2. Distinguish One dimensional, two dimensional and three dimensional flow.
CO3. Student will learn about Bernoulli Equation, Potential equation, Reynold’s transport theorem, Navier-stokes equation.
CO4. They familiar with the fluid statics, kinematics of fluid and dynamics of fluid.
CO5. Enhance ability of analyzing mathematical problems related to Fluid dynamics.

 4
PGMTH3002 Mathematical Software 4
PGMTH3003 Linear programming

CO1. Students will learn fundamentals of Linear Programming, Dynemic programming, Integer programing and sensitivity analysis.
CO2. Able to: Convert standard business problems into linear programming problems and can solve using simplex algorithm.
CO3. Students should be able to Identify and develop Linear programming problem of operational research models from the verbal description of the real System.
CO4. Formulate and solve a linear programming problem by simplex method.
CO5. They are able to apply Revised simplex method, Dynamic programming, Branch and Bound Techniques.

 4
PGMTH3004 PGMTH3004

CO1. Students will learn about inventory problem, PERT-CPM technique, Transportation problem and simulations
CO2. The student will be able to: Formulate and solve the Transportation problem.
CO3. The student will be able to solve LPP by PERT-CPM method
CO4. Students should be able to explore various Mathematical programming algorithms to solve real life problems.

 4
PGMTH3005 Integral Transforms-I

CO1. Students will learn about the basics of Laplace Transforms, Inverse Laplace Transforms, Finite Laplace Transforms
CO2. An application of Laplace transforms.
CO3. Students are able to solve the Ordinary and partial differential equations using Laplace transforms.
CO4. Students are able to solve Initial and boundary value problems and Integral equations.

 4
PGMTH3006 Advanced Integral Transforms-I

CO1. Students will learn about Hankel transform, Finite Hankel transforms ,
CO2. Also learn Hilbert and Stieltjes transforms.
CO3. Students will learn applications of all these transformation
CO4. Students are able to solve the partial differential equations using Hankel transforms.
CO5. Students are able to solve various differential equations using Hilbert and Stieltjes transforms.

 4
PGMTH3007 Advanced Number Theory-I

1. Students will learn about Primitive roots and Indices,
CO2. The Quadratic Reciprocity Low,
CO3. Fibonacci numbers and its properties.
CO4. Able to solve problems and theorems of number theory.

 4
PGMTH3008 Analytic Number Theory

CO1. Students know about Arithmetic functions, Dirichlet multiplication and elementary theorems on Prime numbers.
CO2. Chebyshev’s functions, divisor functions 𝑑(𝑛) , Mangöldt function, Abel’s identity
CO3. Students are able to analyze the number theoretic problems.

 4
PGMTH3009 Special Functions-I 4
PGMTH3010 Advanced Special Functions-I

CO1. Students will learn about Generalized Hypergeometric functions,
CO2. Study about Bessel Functions and its various properties, the Confluent Hypergeometric function and its application.
CO3. Concept of Generating functions and its utilization
CO4. Enhance the ability to prove the complicated theorem.

 4
M.Sc.(Mathematics) Semester - IV ▾
Course Code Course Title Outcome Credit
PGMTH-401 Functional Analysis-II

CO1. Students should be able to appreciate the Hilbert space theory and the Hahn-Banach Theorem. They will also have close encounter with normal, unitary and self adjointoperators .
CO2. The student will be able to: Characterize the category of normed spaces using Category theorem and differentiate weak and pointwise convergence of linear operators.
CO3. Upon completion of this unit, the student will be able to: Demonstrate Spectral properties of Bounded Linear Operators
CO4. The student will be able to: Understand Banach algebras, Demonstrate spectral properties of compact linear operators.
CO5. The student will be able to: Study Operator equations involving Compact linear operators.

 4
PGMTH-402 Differential Geometry

CO1. Students will learn about Curvatures, tangent, Involutes, Evolutes and developable surfaces.
CO2. To be able to compute the curvature and torsion of space curves.
CO3. To be able to understand the fundamental theorem for space curves
CO4. Students should be able to build up Geometry Intuition by incorporating classical curves and related results along with this course.

 4
PGMTH-403 Integral Equations

CO1. Students will learn about Integral equations and related results and theorems.
CO2. Students should be able to classify the Integral equations
CO3. They are able to apply the methods and concepts to solve integral equations.
CO4. Students will be able to recognize difference between Volterra and Fredholm Integral Equations, First kind and Second kind, homogeneous and inhomogeneous etc.
CO5. They apply different methods to solve Integral Equations.

 4
PGMTH-404 Advanced Linear Algebra-I

CO1. Students will learn about Canonical forms , Linear transformations related with matrix theory.
CO2. Apply principles of matrix algebra to linear transformations.
CO3. Demonstrate understanding of inner products and associated norms
CO4. Students should be able to solve problems related to matrices and linear equation, to follow complex logical arguments and develop modest logical arguments.

 4
PGMTH4001 Computational Fluid Dynamics

1. Students will learn about various methods for solving Heat equations,
CO2. Wave equations, Laplace equations and poison equations.
CO3. Should be able to solve any Partial differential equations related to fluid dynamics using mathematical software and promming.
CO4. Provide the student with a significant level of experience in the use of modern CFD software for the analysis of complex fluid- flow systems.
CO5. Improve the student’s understanding of the basic principles of fluid mechanics.
CO6. Improve the student’s research and communication skills using
COa self-directed, detailed study of a complex fluid-flow problem and to communicate the results in written form.

 4
PGMTH4002 Mathematical Modelling 4
PGMTH4003 Non-Linear programming

CO1.Students will learn about various non-linear programming methods and optimization methods.
CO2. Students are able to solve any real life problems through non-linear programming .
CO3. Enhance the ability to analyze the industrial problems

 4
PGMTH4004 Advanced Operation Research

CO1. Students will learn about Queuing theory related problems
CO2. Students will learn about sequencing problems and its solution process
CO3. Students will learn about Theory of replacement and its utilities
CO4. Students will learn about Games and strategies and its applications
CO5. Students are able to formulate and analyse the real world problems.

 4
PGMTH4005 Integral Transforms-II

CO1. Students will learn about complex Fourier transforms and its properties
CO2. Students will learn about Fourier cosine and sine transforms and its properties
CO3. Students will learn about Finite Fourier , finite forier cosine and sine transforms and its properties
CO4. Students should be able to solve partial differential equations by these transforms.

 4
PGMTH4006 Advanced Integral Transforms-II

CO1. Students will learn about Mellin transforms and its properties
CO2. Students will learn about Z-transforms and its propertie
CO3. Students will learn about Inverse Z transforms and its properties
CO4. Students will learn about applications of all these transformations
CO5. Students should be able to solve difference equations

 4
PGMTH4007 Advanced Number Theory-II

CO1. Students will learn about continued fractions,
CO2. Students will learn about Diophantine equations and its properties
CO3. Representation of integers as sum of squares and its applicability
CO4. Enhance the logical ability of the students

 4
PGMTH4008 Introduction to Partition Theory and Cryptography

CO1. Students will learn about Partition theory and Cryptography
CO2. Enhance the logical ability of the students
CO3. Enhance the ability to use the partition theory and cryptography in real life applications.

 4
PGMTH4009 Special Functions-II 4
PGMTH4010 Advanced Special Functions-II

CO1. Students will learn about Laguerre polynomials and its properties
CO2. Students will learn about Jacobi polynomials and its properties,
CO3. Students will learn about Elliptic functions and its properties.
CO4. Perform operations with orthogonal polynomials, Legendre’s polynomial and Laguerre polynomial with their differential equations along with the corresponding
CO5. Students should be think logically in specific direction

 4

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Grant in Aid (GIA) Higher Payment Self Finance (SFI)
Boys Rs. 4435/- Rs. 19435/- Rs. 19435/-
Girls Rs. 1935/- Rs. 16935/- Rs. 16935/-

*Subject to Revision Periodically

M. Sc. Mathematics (Evening)

M.Sc. Mathematics (Evening)

Syllabus Download




Objective Of Program

Program Outcome

Intake:75

Program Duration

2 years (4 Semesters)

Eligibility Criteria

Bachelor Degree in Mathematics.

Admission Details

Merit based

Reservation Policy

As per University norms

Fee Structure *

*Fees per Semester

  Self Finance (SFI)
Boys Rs. 19435/-
Girls Rs. 16935/-

*Subject to Revision Periodically

Ph.D. (Mathematics)

Ph.D (Mathematics )

Syllabus Download




Objective Of Program

Ph.D. Programme in Mathematics is aimed towards promoting good research useful to the society through knowledge of Mathematics. The researcher will be able to various types of research projects in the benefit of society.

Intake

Depends on availablity of the supervisor

Ph.D. (MATHEMATICS) Course Work ▾
Course Code Course Title Outcome Credit
Paper-1 Research Methodology
  • CO1: Students will get comprehensive knowledge of computer programming language.
  • CO2: Students will learn about Numerical differentiations and Integrations.
  • CO3: Students will learn about toidentify Inventory problem, Transportation problems.
  • CO4: Students will learn about Hankel transform, Finite Hankel transforms and its applications.
  • CO5: Students will learn about Gamma and Beta Functions.
 4
Paper-2 Fundamental of Mathematics
  • CO1: Students will learn about Complex Analysis and Real Analysis
  • CO2: Students will learn about Algebra and Linear Algebra
  • CO3: Students will learn about Ordinary and Partial Differential Equations
  • CO4: Students will learn about Mathematical Methods
  • CO5: Students will learn about to analyse the problems of various fields
 4
Paper-3 Special paper(Select any one of the following papers ) I. Methods of weighted Residules and collocation method
  • CO1: Students will learn about Collocation method.
  • CO2: Students will learn about Sub-domain method.
  • CO3: Students will learn about Least Squares method.
  • CO4: Students will learn about Galerkin method and Method of moments.
  • CO5: Students will able to solve Boundary Value Problems
 4
Paper-3 II. Symmetries of Differential Equations
  • CO1: Students will learn about basics of Dimensional Analysis.
  • CO2: Students will learn about Mathematical modelling.
  • CO3: Students will learn about to use Buckingham Pi-Theorem
  • CO4: Students will learn about assumptions of Dimensional Analysis.
  • CO5: Students will learn about applications of Dimensional Analysis.
 4
Paper-3 III. Symmetries of Differential Equations
  • CO1: Students will learn about Shooting method
  • CO2: Students will learn about Derivative boundary conditions
  • CO3: Students will learn about Rayleigh-Ritz, Galerkin methods,
  • CO4: Students will learn about the Finite-Element method
  • CO5: Students will learn to apply methods.
 4
Paper-3 IV. Elements Number Theory
  • CO1: To make students familiar with the historical works.
  • CO2: To make students familiar with the basic concepts of divisibility, congruences and prime numbers.
  • CO3: To make them learn methods of computation in number theory and investigate conjectures.
  • CO4: To show the importance and uncertainty of conjectures.
  • CO5: To solve number-theoretical problems and answer conceptual questions.
 4

Eligibility Criteria

Master Degree in Mathematics.

Admission Details

Admission is on the basis of the UGC NET/JRF, GSET & result of entrance test conducted by University and followed by presentation of research proposal before the Research Advisory Committee (RAC).

Reservation Policy

As per University norms

Fee Structure *

*Subject to Revision Periodically
×
VNSGU
VNSGU
Veer Narmad South Gujarat University

The Registrar,
Veer Narmad South Gujarat University
Post Box No 49, Udhna Magdalla Road
Surat – 395007, Gujarat, [INDIA]

info@vnsgu.ac.in

+91 (0261) 2227141 to 2227146
+91 (0261) 2388888

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