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m.math from isi kolkata |
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Re: m.math from isi kolkata
The curriculum of M. Math Programme offered by ISI (Indian Statistical Institute), Kolkata is as follows: M. Math. Curriculum First Year Semester I 1. Analysis of Several Variables 2. Functional Analysis 3. Linear Algebra 4. Algebra I 5. Measure Theoretic Probability Semester II 1. Complex Analysis 2. Topology I 3. Algebra II 4. Topology II 5. Differential Geometry I Second Year Semester I 1. Basic Probability Theory/Elective 2. Fourier Analysis 3. Differential Topology 4. Elective Course 5. Elective Course Semester II 1. Elective Course 2. Elective Course 3. Elective Course 4. Elective Course 5. Elective Course List of Compulsory Courses 1. Analysis of Several Variables 2. Topology I 3. Linear Algebra 4. Algebra I 5. Measure Theoretic Probability 6. Complex Analysis 7. Functional Analysis 8. Algebra II 9. Topology II 10. Differential Geometry I 11. Basic Probability Theory (for non-BMath non-BStat students) 12. Fourier Analysis 13. Differential Topology List of Elective Courses Group A (At least one elective course is to be chosen from this group) 1. Number Theory 2. Advanced Number Theory 3. Algebraic Number Theory Group B 1. Differential Equations 2. Graph Theory and Combinatorics 3. Advanced Functional Analysis 4. Operator Theory 5. Partial Differential Equations 6. Advanced Linear Algebra 7. Advanced Probability 8. Markov Chains 9. Ergodic Theory 10. Stochastic Processes 11. Topology III 12. Topology IV 13. Differential Geometry II 14. Algebra III 15. Commutative Algebra I 16. Commutative Algebra II 17. Algebraic Geometry (PRQ: Op 1) 18. Elliptic Curves 19. Representations of Locally Compact Groups 20. Lie Groups & Lie Algebra 21. Linear Algebraic Groups 22. Mathematical Logic 23. Set Theory 24. Game Theory 25. Automata, Languages and Computation 26. Advanced Fluid Dynamic 27. Quantum Mechanics I 28. Quantum Mechanics II 29. Analytical Mechanics 30. Special Topics (to be suggested by the faculty) 31. Projects I and II |
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