PhD Mathematics (after MS/MPhil)
Apply now →Program Overview
Credit Hours
24
Duration
6 Semesters (3 years)
Semesters
6
Attendance
Full-time
The PhD in Mathematics at TUF is the highest academic degree in the field, focusing on original research and advanced mathematical theories. This doctoral program is designed to produce scholars who can develop new mathematical models and solve complex problems in science, engineering, and data analysis.
Why choose PhD Mathematics (after MS/MPhil) at TUF?
Choosing this program at TUF provides a high-level research environment where logic meets innovation.
- Flexible curriculum with a wide range of elective subjects in Pure and Applied Mathematics.
- Mentorship by HEC-approved supervisors with expertise in Algebra, Topology, and Numerical Analysis.
- Access to digital libraries and high-speed computing facilities for complex mathematical modeling.
- Opportunity to publish original research in recognized international mathematical journals.
Key Skills You Will Master
Advanced Research Design
Mathematical Proof Writing
Theoretical Analysis
Mathematical Modeling
Computational Methods
Scholarly Publication Writing
Career Outcomes
A PhD Mathematics graduate can build a successful career in both academic and professional fields. Career options include:
- University Professor or Head of Mathematics Department
- Senior Research Scientist in national and international labs
- Data Science Consultant for tech giants and AI firms
- Quantitative Analyst in the banking and insurance sectors
- Cryptography Expert for cybersecurity and government agencies
Program Roadmap
Explore courses roadmap in PhD Mathematics (after MS/MPhil)
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-XXX | ELECTIVE I | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE II | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE III | - | - | 3 (3-0) |
Total Credit Hours
9
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-XXX | ELECTIVE IV | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE V | - | - | 3 (3-0) |
| MATH-XXX | ELECTIVE VI | - | - | 3 (3-0) |
Total Credit Hours
9
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-820 | THESIS | - | - | 6 (0-6) |
Total Credit Hours
24
| Course Code | Course Title | Nature | Prerequisite | Credit Hours |
|---|---|---|---|---|
| MATH-801 | ADVANCED FUNCTION ANALYSIS | - | - | 3 (3-0) |
| MATH-802 | ADVANCED RING THEORY I | - | - | 3 (3-0) |
| MATH-803 | ADVANCED RING THEORY II | - | - | 3 (3-0) |
| MATH-804 | ADVANCED FUZZY METHOD | - | - | 3 (3-0) |
| MATH-805 | ADVANCED FUZZY GRAPHS | - | - | 3 (3-0) |
| MATH-806 | ADVANCED REAL ANALYSIS | - | - | 3 (3-0) |
| MATH-807 | ADVANCED TOPOLOGICAL VECTOR SPACES | - | - | 3 (3-0) |
| MATH-808 | ADVANCED ALGEBRAIC TOPOLOGY | - | - | 3 (3-0) |
| MATH-809 | ADVANCED COMPLEX VARIABLES | - | - | 3 (3-0) |
| MATH-810 | ADVANCED FIXED POINT THEORY I | - | - | 3 (3-0) |
| MATH-811 | ADVANCED FIXED POINT THEORY II | - | - | 3 (3-0) |
| MATH-812 | ADVANCED APPROXIMATION THEORY | - | - | 3 (3-0) |
| MATH-813 | ADVANCED GALOIS THEORY | - | - | 3 (3-0) |
| MATH-814 | ADVANCED NUMBER THEORY | - | - | 3 (3-0) |
| MATH-815 | ADVANCED MEASURE THEORY | - | - | 3 (3-0) |
| MATH-816 | ADVANCED SEMIGROUP THEORY | - | - | 3 (3-0) |
| MATH-817 | ADVANCED GROUP ACTIONS | - | - | 3 (3-0) |
| MATH-818 | ADVANCED GROUP GRAPHS | - | - | 3 (3-0) |
| MATH-819 | ADVANCED ROUGH SET THEORY | - | - | 3 (3-0) |
| MATH-821 | ADVANCED FUZZY LOGIC | - | - | 3 (3-0) |
| MATH-822 | ADVANCED FUNCTION SPACES | - | - | 3 (3-0) |
| MATH-823 | ADVANCED SPECTRAL GRAPH THEORY | - | - | 3 (3-0) |
| MATH-824 | ADVANCED NEAR RING THEORY | - | - | 3 (3-0) |
| MATH-825 | ADVANCED SEMI RING THEORY | - | - | 3 (3-0) |
| MATH-826 | ADVANCED CRYPTOGRAPHY THEORY | - | - | 3 (3-0) |
| MATH-827 | ADVANCED COMMUTATIVE RING | - | - | 3 (3-0) |
| MATH-828 | ADVANCED DIFFERENTIAL TOPOLOGY | - | - | 3 (3-0) |
| MATH-829 | ADVANCED TOPOLOGICAL GROUPS | - | - | 3 (3-0) |
| MATH-830 | ADVANCED MODULES THEORY | - | - | 3 (3-0) |
| MATH-831 | ADVANCED GROUP THEORY | - | - | 3 (3-0) |
| MATH-832 | ADVANCED FUZZY DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-833 | ADVANCED CATEGORY THEORY | - | - | 3 (3-0) |
| MATH-834 | ADVANCED LOCALES THEORY | - | - | 3 (3-0) |
| MATH-835 | ADVANCED TOPOLOGICAL INDICES | - | - | 3 (3-0) |
| MATH-836 | ADVANCED RIEMANNIAN GEOMETRY | - | - | 3 (3-0) |
| MATH-837 | ADVANCED OPTIMIZATION THEORY | - | - | 3 (3-0) |
| MATH-838 | ADVANCED INTEGRAL INEQUALITIES | - | - | 3 (3-0) |
| MATH-839 | ADVANCED FINANCIAL MATHEMATICS | - | - | 3 (3-0) |
| MATH-840 | ADVANCED PARTIAL DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-841 | ADVANCED GRAPH THEORY | - | - | 3 (3-0) |
| MATH-842 | ADVANCED PERTURBATION METHODS | - | - | 3 (3-0) |
| MATH-843 | ADVANCED HEAT AND MASS TRANSFER | - | - | 3 (3-0) |
| MATH-844 | ADVANCES IN GROUP THEORETIC METHODS | - | - | 3 (3-0) |
| MATH-845 | ADVANCED MATHEMATICAL METHODS | - | - | 3 (3-0) |
| MATH-846 | ADVANCED FLUID DYNAMICS | - | - | 3 (3-0) |
| MATH-847 | ADVANCED HEAT TRANSFER | - | - | 3 (3-0) |
| MATH-848 | MOMENTUM AND THERMAL BOUNDARY LAYER THEORY | - | - | 3 (3-0) |
| MATH-849 | GROUP ANALYSIS PARTIAL DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-850 | CONVECTIVE HEAT TRANSFER: VISCOUS FLUIDS | - | - | 3 (3-0) |
| MATH-851 | ADVANCED MAGNETOHYDRODYNAMICS | - | - | 3 (3-0) |
| MATH-852 | MATHEMATICAL ANALYSIS HEAT TRANSFER | - | - | 3 (3-0) |
| MATH-853 | ADVANCED ANALYTICAL DYNAMICS | - | - | 3 (3-0) |
| MATH-854 | NON NEWTONIAN FLUID MECHANICS | - | - | 3 (3-0) |
| MATH-855 | ADVANCED MULTIVARIATE METHODS AND ANALYSIS | - | - | 3 (3-0) |
| MATH-856 | ADVANCED FINITE ELEMENT ANALYSIS | - | - | 3 (3-0) |
| MATH-857 | ADVANCED OPTIMIZATION THEORY | - | - | 3 (3-0) |
| MATH-858 | ADVANCED INTEGRAL EQUATIONS | - | - | 3 (3-0) |
| MATH-859 | COMPUTATIONAL FLUID DYNAMICS | - | - | 3 (3-0) |
| MATH-860 | MATHEMATICAL MODELS IN BIOMATHEMATICS | - | - | 3 (3-0) |
| MATH-861 | MODELING AND SIMULATION | - | - | 3 (3-0) |
| MATH-862 | ADVANCED OPERATION RESEARCH | - | - | 3 (3-0) |
| MATH-863 | MATHEMATICAL MODELING I | - | - | 3 (3-0) |
| MATH-864 | MATHEMATICAL MODELING II | - | - | 3 (3-0) |
| MATH-865 | ADVANCED DIFFERENTIAL EQUATIONS | - | - | 3 (3-0) |
| MATH-866 | THEORY DIFFERENCE EQUATIONS | - | - | 3 (3-0) |
| MATH-867 | ADVANCED TOPICS IN NUMERICAL ANALYSIS | - | - | 3 (3-0) |
| MATH-868 | ADVANCED RESEARCH METHODOLOGY IN MATHEMATICS | - | - | 3 (3-0) |
| MATH-869 | ADVANCED LA SEMIGROUP | - | - | 3 (3-0) |
Total Credit Hours
204
Admissions & Eligibility
18 Years of Education, MPhil (with research) in Mathematics from HEC recognized university with minimum 3.00/4.00 CGPA in semester system or 60% marks in annual system.
Next Steps
Start ApplicationFAQs
The program usually takes 3 years to complete, including coursework and research.
You need an MPhil or 18 years of education in Mathematics from an HEC-recognized university.
Yes, applicants must pass the entry test or GRE (subject/general) as part of the admission process.
Yes, but you may need to complete deficiency courses before starting the PhD program.
Graduates can work as university teachers, researchers, data analysts or in financial and tech industries.