Introduction
PhD Mathematics Program provides students an opportunity to become apprentice mathematicians. Graduates of this program can pursue careers in research and development sectors of public and private institutions, the financial industry, data analytics industry and academia. The faculty at the Department works across a wide spectrum of Mathematical fields with research in Pure, as well as Applied Mathematics. Some examples of interests within Pure Mathematics are Algebraic Geometry, Algebraic Topology, Combinatorial Commutative Algebra, Functional Analysis, Fixed Point Theory, Operator Theory and Symmetries of Differential Equations, while those in Applied Mathematics include Computational Statistical Mechanics, Numerical Methods, Mathematical and Computational Biology, Stochastic Processes, Epidemiology and Cancer Kinetics.
Program Objectives
- Impart in depth knowledge and application of methodology to investigate original research problems through a systematic and focused approach
- Enable students to produce publishable research for journals and conferences of international repute
- Enable students to conduct independent research
Program Outcomes
- Students will be able to exhibit specialized knowledge and ability to use appropriate research methodology in the relevant field of study
- Students will be able to conduct systematic and focused research
- Students will be able to publish research papers in journals and conferences of international repute
- Students will be able to conduct and supervise independent research and can produce knowledge
Summary of the Program:
|
Total Credit Hours |
Course |
18 Credit |
|
|
54 Credit |
Work |
Hours |
|
|
Hours |
Research |
36 Credit |
|
|
Work |
Hours |
||
|
Minimum Duration |
06 Semesters (03 Years) |
||
|
Areas of |
i. |
Pure Mathematics |
|
|
Specialization |
ii. |
Applied Mathematics |
|
Course Work Evaluation:
- Students must obtain minimum 70% marks each in continuous assessment/Mid Term/ Final Examination.
- Student must maintain minimum class attendance 70% in the course and research work.
- Pass percentage in aggregate shall be 70%.
Department of Mathematics, Ground Floor, Block # 7, AIOU, Sector H-8, Islamabad. Ph# 051-9575746, 051-9575700
Eligibility Criteria
- Admission in PhD Mathematics will be granted against limited seats strictly on the basis of merit as approved by the university.
- There shall be departmental test and interview (equivalent to GAT Subject) and qualifying marks shall be 70%.
- Departmental admission committee will be responsible to finalize the admissions.
Duration
Scheme of Studies: (Any six courses will be offered)
Semester-I &II
|
S. No. |
Course Code |
Course Title |
Credit |
|
Hours |
|||
|
1 |
7737 |
Numerical Analysis of Spectral Methods |
3(3+0) |
|
2 |
8807 |
Variational Inequalities and Applications |
3(3+0) |
|
3 |
8810 |
Continuous-Time Finance |
3(3+0) |
|
4 |
8809 |
Non-Newtonian Fluids |
3(3+0) |
|
5 |
7751 |
Stochastic Differential Equations |
3(3+0) |
|
6 |
8806 |
Numerical Methods for variational Inequalities |
3(3+0) |
|
7 |
8808 |
Momentum and Thermal Boundary Layer Theory |
3(3+0) |
|
8 |
8804 |
Knot Theory |
3(3+0) |
|
9 |
7747 |
Theory of Semiring- II |
3(3+0) |
|
10 |
7734 |
Theory of Semirings-I |
3(3+0) |
|
11 |
8802 |
Algebraic Lie Theory |
3(3+0) |
|
12 |
8803 |
Advanced Group Actions |
3(3+0) |
|
13 |
7745 |
C* Algebra |
3(3+0) |
|
14 |
7739 |
Banach Algebra |
3(3+0) |
|
15 |
8801 |
Advanced Convex Analysis |
3(3+0) |
|
16 |
8805 |
Mathematical Programming |
3(3+0) |
Scheme of Studies: (Any six courses will be offered)
Semester-I &II
|
S. No. |
Course Code |
Course Title |
Credit |
|
Hours |
|||
|
1 |
7737 |
Numerical Analysis of Spectral Methods |
3(3+0) |
|
2 |
8807 |
Variational Inequalities and Applications |
3(3+0) |
|
3 |
8810 |
Continuous-Time Finance |
3(3+0) |
|
4 |
8809 |
Non-Newtonian Fluids |
3(3+0) |
|
5 |
7751 |
Stochastic Differential Equations |
3(3+0) |
|
6 |
8806 |
Numerical Methods for variational Inequalities |
3(3+0) |
|
7 |
8808 |
Momentum and Thermal Boundary Layer Theory |
3(3+0) |
|
8 |
8804 |
Knot Theory |
3(3+0) |
|
9 |
7747 |
Theory of Semiring- II |
3(3+0) |
|
10 |
7734 |
Theory of Semirings-I |
3(3+0) |
|
11 |
8802 |
Algebraic Lie Theory |
3(3+0) |
|
12 |
8803 |
Advanced Group Actions |
3(3+0) |
|
13 |
7745 |
C* Algebra |
3(3+0) |
|
14 |
7739 |
Banach Algebra |
3(3+0) |
|
15 |
8801 |
Advanced Convex Analysis |
3(3+0) |
|
16 |
8805 |
Mathematical Programming |
3(3+0) |
Comprehensive Examination + Proposal Submission + Research Work and Thesis Writing.
Comprehensive Examination + Proposal Submission + Research Work and Thesis Writing.
Comprehensive Examination + Proposal Submission + Research Work and Thesis Writing.
Comprehensive Examination + Proposal Submission + Research Work and Thesis Writing.
Elective / Major Courses:
Synopsis/Research Work:
On the completion of 18 credit hours of course work, the successful students will appear in comprehensive and viva voce examinations. The students who scored 70 % in the comprehensive and viva voce examinations will embark upon research of 36 credit hours for four semesters. The department will hold two-weeks Synopsis Orientation Workshop (SOW) The purpose of the SOW is to guide the PhD scholars/researchers in finalizing their topics of Synopsis/Research. Participation in the SOW will be mandatory. Researchers are supposed to develop and present their synopsis before the Departmental Synopsis Committee. Finally, topic of synopsis/research will be forwarded to the concerned body for approval as per PhD rules and regulations of the university.