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 |
3 | 0 |
0 |
9 |
4 |
| MTH 304 |
Metric Spaces and Topology |
3 |
0 |
0 |
9 |
4 |
| MTH 306 |
Ordinary Differential Equations |
3 | 0 |
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 |
3 | 0 |
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 |
Students must clear Law Relating to Intellectual Property and Pantents course anytime before completion of MS Programme, as and when offered.
