Swami Ramanand Teerth Marathwada University Courses

M.Sc. (Mathematics)

Course Detail

Semester – I

•  Paper-I- Algebra-I(Groups & Rings)                                                      
•  Paper-II-Real Analysis-I                                                                         
•  Paper-III -Complex Analysis                                                                  
•  Paper-IV- Numerical Analysis (With practical on Computer
• Any one of the following of V (A) to V (D).                                                       
  • Paper- V (A) - Multivariate Calculus
  • Paper- V (B) - Advanced Discrete Mathematics-I
  • Paper- V (C) - Differential Geometry of Manifolds- I
  • Paper- V (D) - Dynamics and Continuum Mechanics-I
• Paper- VI-      -Tutorial-I (Compulsory for all)               

Semester – II

•  Paper-VII- Linear Algebra
•  Paper-VIII- Real Analysis-II
•  Paper-IX- Topology
•  Paper-X- Elementary Number
• Any one of the following of XI (A) to XI (D).          
  • Paper-XI (A) - Differential Equations
  • Paper-XI (B)  -Advanced Discrete Mathematics-II
  • Paper-XI (C)  -Differential Geometry of Manifolds- II
  • Paper-XI (D) - Dynamics and Continuum Mechanics-II
• Paper-XII      - Group Project of 125 marks (Compulsory for all)

Semester – III

•  Paper-XIII - Algebra II (Field  and Galois   )
•  Paper-XIV--Functional Analysis                                                             
• Three papers to be chosen from XV to XXII which will be taught in the department.
  • Paper- XV- Graph
  • Paper- XVI- Operations Research
  • Paper- XVII- Advanced Number
  • Paper- XVIII- Integral Equations
  • Paper- XIX -Programming in C (with ANSI features) ( and Practical)
  • Paper- XX - Wave Propagation
  • Paper- XXI- of Linear operators
  • Paper- XXII-Commutative Algebra
• Paper- XXIII-Tutorial-II (Compulsory for all)                                            

Semester – IV

•  Paper-XXIV- Boundary Value Problems                                                           
•  Paper-XXV- Mechanics                                                                                    
• Any three Papers to be Chosen from the following three groups which will be taught in the department.
•  Paper-XXVI To XXXVIII
  •  A) Computational Mathematics
  • B)  Applied Mathematics
  • C) Pure Mathematics
• Paper-XXXIX-Project Work (Compulsory for all)