UM-DAE Centre for Excellence in Basic Sciences

Course structure for the M. Sc. (Integrated) Mathematics stream

Semester I

Subject CodeSubjectContact Hours per Week
(Theory+Tutorials)
Credits
101 Biology I [2+1] 3
C101 Chemistry I [2+1] 3
M101/100 Mathematics I [2+1] 3
P101 Physics I (Mechanics & Thermodynamics) [2+1] 3
G101 Computer Basics [2+1] 3
H101 Communication Skills [2+1] 3
    Lab Hours per Week Credits
PL101 Physics Laboratory [4] 2
CL101 Chemistry Laboratory [4] 2
BL101 Biology Laboratory [4] 2
GL101 Computer Laboratory [4] 2
    Semester Credits 26

 

Semester II

Subject CodeSubjectContact Hours Per Week
(Theory+Tutorials)
Credits
 B201  Biology II [2+1] 3
 C201  Chemistry II [2+1] 3
 M201/200  Mathematics II [2+1] 3
 P201  Physics II (Optics, Electricirty & Magnetism) [2+1] 3
 G201
 Electronics and
 Instrumentation
[2+1] 3
 G202
 Glimpses of Contemporary
 Sciences
[2+1] 3
     Lab Hours per Week  Credits
 PL201  Physics Laboratory [4] 2
 CL201  Chemistry Laboratory [4] 2
 BL201  Biology Laboratory [4] 2
 GL201  Electronics Laboratory [4] 2
    Semester Credits  26

 

Course Structure and Syllabus for Semesters III and IV

 

Course Structure and Syllabus for Semesters V to X

 

Minimum credits required: 240

Electives

Electives taught in previous years

  1. Advanced Commutative Algebra & Applications.
  2. Advanced Di erential Topology.
  3. Advanced Numerical Techniques.
  4. Coding Theory & Cryptography.
  5. Combinatorics & Enumeration.
  6. Financial Mathematics.
  7. Fractals & Applications.
  8. Graph Theory.
  9. Introduction to Ergodic Theory.
  10. Lie Groups & Geometry
  11. Quantum Computing.
  12. Topics in Algebraic Geometry.

Other possible electives

  1. Advanced Algebraic Topology & Applications.
  2. Advanced Di erential Geometry & Applications.
  3. Algebraic curves.
  4. Analytic number theory.
  5. Class eld theory.
  6. Combinatorial Design Theory.
  7. Econometrics.
  8. Elliptic curves.
  9. Finite Fields & Applications.
  10. Fluid Mechanics.
  11. Geometric algebra.
  12. Homological Algebra & Applications.
  13. Industrial Mathematics.
  14. Introduction to algebraic groups.
  15. Mathematical Applications to Engineering.
  16. Mathematics & Nano Technology.
  17. Modular forms.
  18. Operator Theory.
  19. Perturbation Theory.
  20. Wavelet Analysis & Applications.

Address

UM-DAE Centre for Excellence in Basic Sciences
Health Centre, University of Mumbai,
Vidyanagari Campus, Kalina, Santacruz (East), Mumbai 400098, India.
Phone: 91-22-26524983
Fax: 91-22-26524982
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About Us

CBS was set up by the Department of Atomic Energy and the University of Mumbai in 2007. CBS offers a 5 year integrated MSc program in Basic Sciences, with undergraduate teaching embedded in a postgraduate and research environment, for students who have completed 10+2 schooling or its equivalent.