# Ph. D. in Mathematics:Topology

Hemchandracharya North Gujarat UniversityPrice on request

Price on request

Price on request

Price on request

## Important information

- PhD
- Patan

Starts | Location |
---|---|

On request |
PatanPB 21, University Road , 384265, Gujarat, India See map |

## Course programme

**Ph. D. in Mathematics:Topology**

Paper - 1 Real Analysis & Complex Analysis

Paper - 2 Algebra - I

Paper - 3 Topology - I

Paper - 4 Functions of Several Variables

Paper - 5 Techniques of Differential Equations

Paper - 6 Algebra - II and Topology - II

( Optional ) Three Groups

Paper - 7 Functional Analysis

Paper - 8 Number Theory

Paper - 9 Differentiable Manifolds

Paper - 10 Algebraic Topology

Paper - 11 Differential Geometry

' B'

Paper -Paper - 13 Electrodynamics

Paper - 14 Relativity & Cosmology

' C'

Paper - 15 Mathematical Modeling

Paper - 16 Operations Research

Paper - 17 Mathematical Logic & Introduction to Artificial Intelligence

Paper - 18 Computer Programming : ' C ' Language

Paper - 19 Computer Graphics

101 Real Analysis & Complex Analysis

102 Algebra - I

103 Topology - I

104 Programming in C with ANSI features

105 Comp. Architecture & Data Structures using C

106 Practicals related to 104 to 105

201 Any two of the following papers

(a) Topology - II

(b) Algebra - II

(c) Discrete Mathematics-I

(d) Discrete Mathematics-II

202 Operations Research

203 Objects Oriented Programming with C++

204 Operating Systems

205 Design and Analysis of Algorithms

206 Practicals related to 202,203 and 204

301 Any one of the following :

(a) Probability and Measures

(b) Functional analysis

302 Software Engineering

303 Compiler Techniques and Computer Networks

304 Computer Graphics

305 Data Base Systems and Artificial Intelligence

306 Practicals related to Computer Networks 303,304 and 305

307 One Project work related to the courses in all the three years as given

above / or Real industrial Problems / or the students will be required

to study one of the following papers :

(I) Performance modeling of communication networks

(II) Modeling, Simulation of Communication networks

(III) Computational Biology

(IV) Mathematics of Finance and Insurance

(V) Computational Fluid Dynamics

(VI) Chemo metrics and Quality Control in Industry

(VII) Industrial Process

Practical related to the above papers (VI) and (VII)

(VIII) Wavelets

(IX) Biomechanics

(X) Fuzzy Sets and Their Applications

(XI) Any other topic according to the availability of Subject expert