Approved By: UGC NAAC
| 
             Duration: 2 Years | 
          
             Eligibility: Graduation | 
        
Coutrs Syllabus
| 
 Course Code  | 
 Course Title  | 
| 
 Semester - I  | 
|
| 
 401  | 
 Measure Theory  | 
| 
 402  | 
 Complex Analysis  | 
| 
 403  | 
 Topology  | 
| 
 404  | 
 Ordinary Differential Equations  | 
| 
 405  | 
 Graph Theory  | 
| 
 406  | 
 Fourier Analysis  | 
| 
 Semester - II  | 
|
| 
 501  | 
 Differential Geometry  | 
| 
 502  | 
 Functional Analysis  | 
| 
 503  | 
 Elements of Partial Differential Equations  | 
| 
 504  | 
 Discrete Structure  | 
| 
 505  | 
 Numerical Analysis  | 
| 
 506  | 
 Functions of Complex Variables  | 
| 
 Semester - III  | 
|
| 
 601  | 
 Abstract Algebra  | 
| 
 602  | 
 Advanced Functional Analysis  | 
| 
 603  | 
 Applied Linear Algebra  | 
| 
 600X  | 
 Elective Group  | 
| 
 600X (*)  | 
|
| 
 600X  | 
|
| 
 Elective group -1  | 
|
| 
 6001  | 
 Mechanics  | 
| 
 6002*  | 
 Mathematical Software  | 
| 
 6003  | 
 Fluid Dynamics  | 
| 
 Elective group -2  | 
|
| 
 6004  | 
 Linear programming  | 
| 
 6005  | 
 Operation Research  | 
| 
 6006  | 
 Optimization Techniques  | 
| 
 Elective group -3  | 
|
| 
 6007  | 
 Laplace Transform and its Applications  | 
| 
 6008  | 
 Fourier Transform and its Applications  | 
| 
 6009  | 
 Advanced Integral Transform  | 
| 
 Elective group - 4  | 
|
| 
 6010  | 
 Elementary Number Theory  | 
| 
 6011  | 
 Algebraic Number Theory  | 
| 
 6012  | 
 Combinatorics  | 
| 
 Elective group - 5  | 
|
| 
 6013  | 
 Special Functions - I  | 
| 
 6014  | 
 Special Functions - II  | 
| 
 6015  | 
 Special Functions - III  | 
| 
 Semester - IV  | 
|
| 
 701  | 
 Advanced Abstract Algebra  | 
| 
 702  | 
 Theory of Operators  | 
| 
 703  | 
 Numerical Linear Algebra  | 
| 
 700X  | 
 Elective Group  | 
| 
 700X  | 
|
| 
 700X  | 
|
| 
 Elective group -1  | 
|
| 
 7001  | 
 Computational Fluid Dynamics  | 
| 
 7002  | 
 Mathematical Modeling  | 
| 
 7003  | 
 Finite Element Method  | 
| 
 Elective group -2  | 
|
| 
 7004  | 
 Advanced Operational Research  | 
| 
 7005  | 
 Non - Linear Programming  | 
| 
 7006  | 
 Advanced Optimization  | 
| 
 Elective group -3  | 
|
| 
 7007  | 
 Wavelet Analysis  | 
| 
 7008  | 
 Digital signal processing  | 
| 
 7009  | 
 Image processing  | 
| 
 Elective group - 4  | 
|
| 
 7010  | 
 Advance Number Theory  | 
| 
 7011  | 
 Analytic Number Theory  | 
| 
 7012  | 
 Introduction to Modern cryptography  | 
| 
 Elective group - 5  | 
|
| 
 7013  | 
 Special Functions - IV  | 
| 
 7014  | 
 Special Functions - V  | 
| 
 7015  | 
 Special Functions - VI  |