Integrated M. Sc. Mathematics

DURATION

5 years, 10 semesters

SALIENT FEATURES OF THE COURSES

  • Exit option with a B. Sc. degree at the end of third year
  • State of art Research labs
  • Qualified and Motivated Faculty
  • Separate Hostels for Boys and Girls
  • Placement assistance
  • Guidance in the preparation for national-international level scholarship tests such as UGC/CSIR - NET, GATE, TOEFL, IELTS and BEC.

Course of Study

Semester 1 Semester 2 Semester 3 Semester 4 Semester 5
Communicative English Professional Communication Multivariate Calculus and Tensors Basic Complex Analysis Operations Research
Language – Paper I  Language - Paper II Ordinary Differential Equations Number Theory Fourier Analysis and Transforms
Matrix Algebra Classical Algebra Vector Calculus Modern Algebra I Partial Differential Equations
Elements of Real Analysis Programming Using C Probability and Statistics Applied Statistics Linear Algebra and its Applications
Allied Chemistry Differential Calculus and Integration  Environmental Studies  Statics and Dynamics . Numerical Analysis
Introduction to Programming using C Allied Physics . Life Skills I Life Skills II  MatLab 
Chemistry Lab Allied Physics Lab II     Life Skills III .
Introduction to Programming using C Lab Cultural Education II      
Cultural Education 1        
Semester 6 Semester 7 Semester 8 Semester 9  Semester 10
Basic Topology Advanced Real Analysis General Topology  C* Algebra Elective 4
Special Functions Abstract Algebra Measure and Integration Random Processes  Elective 5
Modern Algebra II Calculus of Variations and Integral Equations Introduction to Graph Theory Fluid Dynamics Dissertation
Optimization Techniques . Elective 1 Functional Analysis  Cryptography  
Financial Mathematics  Advanced Complex Analysis Elective 2 . Elective 3  
Discrete Mathematics         
Project (for students exercising exit option)         

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ELECTIVE STREAMS 
(A student shall take atleast 3 courses from one stream (main stream) – the Dissertation in the semester X shall be based on the main elective stream) 

 

ALGEBRA STREAM
Commutative Algebra
Algebraic Geometry
Coding Theory 
Lie Algebras 
Algebraic Topology
ANALYSIS STREAM
Harmonic Analysis 
Wavelet Analysis 
Fixed Point Analysis 
Nonlinear Analysis 
Fractals
STATISTICS STREAM
Theory of Sampling and Design of Experiments
Statistical Quality Control and Six Sigma Quality Analysis
Statistical Pattern Classifications 
Time Series Analysis
Queuing Theory and Inventory Control Theory
FLUID MECHANICS STREAM
Theory of Sampling and Design of Experiments
Statistical Quality Control and Six Sigma Quality Analysis
Statistical Pattern Classifications 
Time Series Analysis
Queuing Theory and Inventory Control Theory
COMPUTER STREAM
Formal Language and Automata Theory 
Advanced Data Structures and Algorithms 
Fuzzy Sets and its Applications 
Advanced Graph Theory 
Introduction to Soft Computing 
Language – Paper I
Proficiency in French Language (Lower)
Proficiency in German Language (Lower)
German for Beginners I 
Hindi I
Proficiency in Japanese Language (Lower) 
Kannada I
Malayalam I 
Sanskrit I 
Tamil I 
Language – Paper II
Proficiency in French Language (Higher) 
Proficiency in German Language (Higher) 
German for Beginners II 
Hindi II 
Proficiency in Japanese Language (Higher) 
Kannada II 
Malayalam II 
Sanskrit II 
Tamil II