MPhil Mathematics
Apply now →Program Overview
Credit Hours
30
Duration
4 Semesters (2 years)
Semesters
4
Attendance
Full-time
The MPhil Mathematics program at TUF is a rigorous two-year postgraduate journey. It bridges the gap between theoretical excellence and practical application, focusing on advanced mathematical modeling and analytical frameworks.
Why choose MPhil Mathematics at TUF?
Choosing MPhil Mathematics at TUF opens the door to a bright academic and professional future.
- Focus on original publications and innovative problem-solving.
- Opportunities to specialize in Pure, Applied, or Computational Mathematics.
- Direct access to PhD faculty with international research footprints.
- Integration of math with Data Science and Financial Technology.
Key Skills You Will Master
Advanced Calculus
Linear Algebra
Differential Equations
Mathematical Modeling
Numerical Analysis
Research Methodology
Career Outcomes
After completing this program, students can work in:
- Associate Professor, Subject Specialist, or Academic Coordinator.
- Actuarial Analyst, Quantitative Researcher, or Financial Consultant.
- Data Scientist, Algorithm Developer, or Cryptographer.
- Statistical Officer in PPSC/FPSC or Strategic Planning Analyst.
This degree also prepares students for further PhD studies or international research opportunities.
Program Roadmap
Explore courses roadmap in MPhil Mathematics
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-XXX | CORE I | - | - | 3 (3-0) |
| MATH-XXX | CORE II | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE I | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE II | - | - | 3 (3-0) |
Total Credit Hours
12
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-XXX | CORE III | - | - | 3 (3-0) |
| MATH-XXX | CORE IV | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE III | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE IV | - | - | 3 (3-0) |
Total Credit Hours
12
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-720 | THESIS | - | - | 6 (0-6) |
Total Credit Hours
30
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-701 | THEORY FUNCTION ANALYSIS | - | - | 3 (3-0) |
| MATH-702 | RING STRUCTURE I | - | - | 3 (3-0) |
| MATH-703 | RING STRUCTURE II | - | - | 3 (3-0) |
| MATH-704 | FUZZY TECHNIQUE | - | - | 3 (3-0) |
| MATH-705 | TECHNIQUE FUZZY GRAPH | - | - | 3 (3-0) |
| MATH-706 | THEORY REAL ANALYSIS | - | - | 3 (3-0) |
| MATH-707 | ADVANCED NUMERICAL ANALYSIS | - | - | 3 (3-0) |
| MATH-708 | FLUID DYNAMICS WITH APPLICATIONS | - | - | 3 (3-0) |
| MATH-709 | PARTIAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS | - | - | 3 (3-0) |
| MATH-710 | PERTURBATION METHODS DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-711 | GROUP THEORETIC METHODS | - | - | 3 (3-0) |
Total Credit Hours
33
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-712 | THEORY TOPOLOGICAL VECTOR SPACES | - | - | 3 (3-0) |
| MATH-713 | THEORY ALGEBRAIC TOPOLOGY | - | - | 3 (3-0) |
| MATH-714 | COMPLEX VARIABLES | - | - | 3 (3-0) |
| MATH-715 | FIXED POINT THEORY I | - | - | 3 (3-0) |
| MATH-716 | FIXED POINT THEORY II | - | - | 3 (3-0) |
| MATH-717 | APPROXIMATION THEORY | - | - | 3 (3-0) |
| MATH-718 | FIELD GALOIS THEORY | - | - | 3 (3-0) |
| MATH-719 | NUMBER THEORY | - | - | 3 (3-0) |
| MATH-721 | MEASURE THEORY | - | - | 3 (3-0) |
| MATH-722 | TECHNIQUE SEMIGROUP | - | - | 3 (3-0) |
| MATH-723 | GROUP ACTIONS | - | - | 3 (3-0) |
| MATH-724 | GROUP GRAPHS | - | - | 3 (3-0) |
| MATH-725 | ROUGH SET THEORY | - | - | 3 (3-0) |
| MATH-726 | MODELLING FUZZY LOGIC | - | - | 3 (3-0) |
| MATH-727 | FUNCTION SPACES | - | - | 3 (3-0) |
| MATH-728 | SPECTRAL GRAPH THEORY | - | - | 3 (3-0) |
| MATH-729 | NEAR RING THEORY | - | - | 3 (3-0) |
| MATH-730 | SEMI RING THEORY | - | - | 3 (3-0) |
| MATH-731 | TECHNIQUE CRYPTOGRAPHY | - | - | 3 (3-0) |
| MATH-732 | COMMUTATIVE RING THEORY | - | - | 3 (3-0) |
| MATH-733 | DIFFERENTIAL TOPOLOGY | - | - | 3 (3-0) |
| MATH-734 | THEORY TOPOLOGICAL GROUPS | - | - | 3 (3-0) |
| MATH-735 | MODULES THEORY | - | - | 3 (3-0) |
| MATH-736 | GROUP THEORY | - | - | 3 (3-0) |
| MATH-737 | FUZZY DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-738 | CATEGORY THEORY | - | - | 3 (3-0) |
| MATH-739 | LOCALES THEORY | - | - | 3 (3-0) |
| MATH-740 | TOPOLOGICAL INDICES | - | - | 3 (3-0) |
| MATH-741 | RIEMANNIAN GEOMETRY | - | - | 3 (3-0) |
| MATH-742 | OPTIMIZATION THEORY | - | - | 3 (3-0) |
| MATH-743 | MODELLING INTEGRAL INEQUALITIES | - | - | 3 (3-0) |
| MATH-744 | THEORY FINANCIAL MATHEMATICS | - | - | 3 (3-0) |
| MATH-745 | OPERATION RESEARCH | - | - | 3 (3-0) |
| MATH-746 | INTEGRAL EQUATIONS AND THEIR APPLICATIONS | - | - | 3 (3-0) |
| MATH-747 | GRAPH THEORY WITH APPLICATIONS | - | - | 3 (3-0) |
| MATH-748 | HEAT AND MASS TRANSFER | - | - | 3 (3-0) |
| MATH-749 | ANALYTICAL DYNAMICS PARTICLE | - | - | 3 (3-0) |
| MATH-750 | MAGNETOHYDRODYNAMICS | - | - | 3 (3-0) |
| MATH-751 | FINITE ELEMENT METHOD PARTIAL DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-752 | NUMERICAL SOLUTIONS PARTIAL DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-753 | NUMERICAL SOLUTIONS ORDINARY DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-754 | NEWTONIAN FLUID MECHANICS | - | - | 3 (3-0) |
| MATH-755 | FINANCIAL MATHEMATICS I | - | - | 3 (3-0) |
| MATH-756 | FINANCIAL MATHEMATICS II | - | - | 3 (3-0) |
| MATH-757 | STOCHASTIC CALCULUS I | - | - | 3 (3-0) |
| MATH-758 | STOCHASTIC CALCULUS II | - | - | 3 (3-0) |
| MATH-759 | ENUMERATIVE COMBINATORICS | - | - | 3 (3-0) |
| MATH-760 | SYMMETRIES AND EXACT SOLUTIONS DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-761 | GENERAL RELATIVITY I | - | - | 3 (3-0) |
| MATH-762 | GENERAL RELATIVITY II | - | - | 3 (3-0) |
| MATH-763 | FOURIER ANALYSIS | - | - | 3 (3-0) |
| MATH-764 | MATHEMATICAL TECHNIQUES BOUNDARY VALUE PROBLEMS | - | - | 3 (3-0) |
| MATH-765 | MULTIVARIATE METHODS AND ANALYSIS | - | - | 3 (3-0) |
| MATH-766 | FINITE ELEMENT ANALYSIS | - | - | 3 (3-0) |
| MATH-767 | RESEARCH METHODOLOGY IN MATHEMATICS | - | - | 3 (3-0) |
| MATH-768 | THEORY LA SEMIGROUPS | - | - | 3 (3-0) |
Total Credit Hours
168
Admissions & Eligibility
16 Years of Education, BS (4 Years) /MSC mathematics (2 Years) or in equivalent field. Min CGPA 2.5 /4.0, or minimum marks 50% marks in annual system. GAT/HAT General/TUF Entry Test with minimum 50% score. Students from equivalent fields (interdisciplinary qualification) will enroll 6-9 credit hours (CH) of deficiency courses of level 6.
Next Steps
Start ApplicationFAQs
The program lasts 2 years and is completed in 4 semesters.
Applicants must have 16 years of education in Mathematics with at least 50% marks or a 2.5 CGPA.
Yes, candidates need to pass the GAT/HAT or TUF Entry Test with at least 50% marks.
Graduates can work in teaching, research, finance, statistics or government sectors.
Yes, this degree prepares students for PhD and advanced research opportunities.