Office of Academic Affairs
Indian Institute of Science Education and Research Bhopal

Integrated Ph.D. CURRICULUM

Mathematics
I Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 311 Advanced Linear Algebra 3 0 0 9 4
MTH 401 Fields and Galois Theory 3 0 0 9 4
MTH 403 Real Analysis II 3 0 0 9 4
MTH 407 Complex Analysis I 3 0 0 9 4
Total 12       16
II Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 302 Modules 30 0 9 4
MTH 304 Metric Spaces and Topology 3 0 0 9 4
MTH 306 Ordinary Differential Equations 30 0 9 4
MTH 404 Measure and Integration 3 0 0 9 4
Total 12       16
III Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 405 Partial Differential Equations 30 0 9 4
MTH 503 Functional Analysis 3 0 0 9 4
MTH 605 Topology I 3 0 0 9 4
MTH 5** Departmental Elective I 3 0 0 9 4
Total 12       16
IV Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 503 Functional Analysis 3 0 0 9 4
MTH 508 Introduction to Differentiable Manifolds 3 0 0 9 4
MTH 5** Departmental Elective II 3 0 0 9 4
MTH 5** Departmental Elective III 3 0 0 9 4
Total 12       16
V Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 5** Departmental Elective IV 3 0 0 9 4
MTH 5** Departmental Elective V 3 0 0 9 4
MTH 5** Departmental Elective VI 3 0 0 9 4
MTH 6** Reading Course         4
Total         16
VI Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 6** Departmental Elective VII 3 0 0 9 4
MTH 6** Seminar         2
MTH 6** Reading Course #         4
Total         10

# Optional for students who have passed the comprehensive examination by the V semester

VII Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 6** Departmental Elective VIII 3 0 0 9 4
Total 3 0 0 9 4
VIII Semester
Course No. Course Name Lec Hr Lab Hr Tut Hr SS Hr Credit
MTH 6** Departmental Elective IX 3 0 0 9 4
Total 3 0 0 9 4