Ph.D. Mathematics

Ph.D. Mathematics 3-years, 6- Semester program (18)

Pre-requisite:

  • MS/M.Phil or equivalent degree (18 years education) in Mathematics from any HEC recognized University/Institute with minimum 3.0 CGPA out of 4.0
  • GRE/GAT (subject) Test cleared.

OR

  • A candidate studying in MS/M.Phil degree in Mathematics, subject to qualifying MS/M.Phil 24 credit hours course work with minimum CGPA 3 is also eligible for transfer of his/her MS/MPhil to Ph.D program, provided (a) Candidate have successfully defended  the first MS/MPhil seminar (b) GRE/GAT (Subject) Test has been cleared.
  • The registration of the candidate enrolled for MS/M.Phil shall be transferred for Ph.D degree on the recommendation of the supervisor and the scrutiny committee with the condition that he/she will have to submit fresh synopsis specifying additional research to be carried out. Synopsis should not be more than one thousand (1000) words.

Objective of the Program

  • Well-trained teaching faculty.
  • Motivated researchers who can work in different areas of Mathematics.

Structure of the Program

The Ph.D. degree is earned in six semesters through 42 CH coursework (24CH of MS/M.Phil. + 18 CH of Ph.D.) and thesis on the topic duly approved by the Advanced Studies and Research Board.

  • The candidate who has qualified 24CH MS/M.Phil., coursework (or 18-year of schooling) will have to study and qualify 18CH coursework of Ph.D.; otherwise the candidate will complete 42 CH coursework.
  • a written comprehensive examination of courses,
  • On completion of thesis work, an ‘Open Seminar’ is delivered before submitting the thesis. The thesis should be a piece of work embodying either a discovery of new facts or fresh interpretation of facts or theories, in either case the work show the candidate’s capacity for synthesis of data, its critical examination and judgment.
  • Finally a candidate has to appear in an oral examination.
First Year
1st Semester
COURSE CODE COURSE TITLE CREDIT HOURS
MTH 8XX Core-I 3
MTH 8XX Elective-I 3
MTH 8XX Elective-II 3
2nd Semester
COURSE CODE COURSE TITLE CREDIT HOURS
MTH 8XX Core-II 3
MTH 8XX Elective-III 3
MTH 8XX Elective-IV 3
MTH 8XX Research Thesis Viva Voce
Elective Courses
COURSE CODE COURSE TITLE
MTH-811 Finite Elements Method
MTH-812 Cryptography
MTH-813 Advanced Topics in Operations Research
MTH-814 Advanced Topics in Optimization Theory
MTH-816 Applicable Mathematical Physics
MTH-817 Graph Theory
MTH-818 Mathematical Biology
Cumpulsory Courses
COURSE CODE COURSE TITLE
MTH-800 Advanced Abstract Algebra
MTH-801 Advanced Mathematical Analysis
MTH-802 Analysis of Differential Equations