Post Graduate


4 Semesters (2 years)


Eligibility Criteria

Basic Academic Qualification: Sixteen years of schooling or 4 year education (minimum 120 credit hours) after HSSC/F.A./F.Sc/Grade 12 or Equivalent shall be required for admission in the MPhil/MS/Equivalent program.

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OPEN 2023


Upon completion of the BS Mathematics program at TUF, Students majoring in Mathematics attain proficiency in:

• The ability to recognize, evaluate, integrate, and apply different types of information and knowledge to form independent judgments.

• Analytical and logical thinking and the habit of drawing conclusions based on quantitative information.

• The ability to measure and understand complex situations, choose among several theoretically proper mathematical methods of solution and continue in the face of difficulty.

• The ability to communicate and interact effectively with different audiences, developing their ability to collaborate intellectually and creatively in diverse situations.

• The ability to understand the basic rules of logic, including the role of axioms or assumptions and appreciate the role of mathematical proof in formal deductive reasoning in everyday life.


Bachelor & Master program in Mathematics are designed for those students who want to pursue their study in the field of Mathematics. Mathematics is a basic and powerful tool for solving problems and a highly creative field of study. Mathematics is important to all areas of our society and is a foundation for many different kinds of careers. Mathematical graduates are in high demand and can obtain well paid work in many areas, including teaching, investment banking and finance; the civil service; the pharmaceutical industry; and medicine statistics. Mathematics graduates are highly employable due to the advanced problem-solving, analytical skills and higher level numeracy skills developed by studying this subject.

Semester 1

Course Code Course Title 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)
  Credit Hours 12

Semester 2

Course Code Course Title 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)
  Credit Hours 12

Semester 3 & 4

Course Code Course Title Credit Hours
MATH-720 Thesis OR (In case a student is not opting research work, he /she will be required to enrolled to elective courses of 06 credit hours) 6(0+6)
  Total Credit Hours 30

List of Core Courses

Course Code Course Title Credit Hours
MATH-701 Advanced Functional Analysis 3(3+0)
MATH-702 Advanced Ring Theory-I 3(3+0)
MATH-703 Advanced Numerical Analysis 3(3+0)
MATH-704 Mathematical Techniques for Boundary Value Problems 3(3+0)
MATH-705 Advanced Real Analysis 3(3+0)
MATH-706 Advanced Fluid Dynamics 3(3+0)
MATH-707 Advanced Partial Differential Equations 3(3+0)
MATH-708 Advanced Graph Theory 3(3+0)
MATH-709 Advanced Fuzzy Graph Theory 3(3+0)
MATH-710 Advanced Fuzzy System 3(3+0)
MATH-711 Perturbation Methods 3(3+0)
MATH-712 Advanced Analytical Dynamics 3(3+0)
MATH-713 Group Theoretic Methods 3(3+0)
MATH-714 Advanced Mathematical Methods 3(3+0)

List of Elective Courses

Course Code Course Title Credit Hours
MATH-715 Topological Vector Spaces 3(3+0)
MATH-716 Algebraic Topology 3(3+0)
MATH-717 Theory of Complex Variables 3(3+0)
MATH-718 Fixed Point Theory and Applications-I 3(3+0)
MATH-719 Fixed Point Theory and Applications-II 3(3+0)
MATH-721 Approximation Theory and Applications 3(3+0)
MATH-722 Field Extensions and Galois Theory 3(3+0)
MATH-723 Algebraic Number Theory 3(3+0)
MATH-724 Measure Theory 3(3+0)
MATH-725 Fourier Analysis 3(3+0)
MATH-726 Semigroup Theory 3(3+0)
MATH-727 Theory of LA-Semigroups 3(3+0)
MATH-728 Advanced Ring Theory-II 3(3+0)
MATH-729 Theory of Group Actions 3(3+0)
MATH-730 Theory of Group Graphs 3(3+0)
MATH-731 Rough set theory and its Applications 3(3+0)
MATH-732 Fuzzy Logic and Algebra 3(3+0)
MATH-733 Theory of Function Spaces 3(3+0)
MATH-734 Harmonic Analysis 3(3+0)
MATH-735 Spectral Graph Theory 3(3+0)
MATH-736 Advanced Category Theory 3(3+0)
MATH-737 Theory of Locales 3(3+0)
MATH-738 Topological Indices of Chemical Graphs 3(3+0)
MATH-739 Young Tableaux with Applications 3(3+0)
MATH-740 Advanced Riemannian Geometry 3(3+0)
MATH-741 Knot Theory with Applications 3(3+0)
MATH-742 Fuzzy Logic and its Applications 3(3+0)
MATH-743 Analysis of Algorithms 3(3+0)
MATH-744 Advanced Optimization Theory 3(3+0)
MATH-745 Advanced Integral Equations 3(3+0)
MATH-746 Integral Inequalities 3(3+0)
MATH-747 Theory of Splines 3(3+0)
MATH-748 Finite Element Method for Partial Differential Equations 3(3+0)
MATH-749 Computational Fluid Dynamics 3(3+0)
MATH-750 Mathematical Models in Biomathematics 3(3+0)
MATH-751 Fuzzy Differential Equations 3(3+0)
MATH-752 Advanced Finite Element Analysis 3(3+0)
MATH-753 Financial Mathematics-I 3(3+0)
MATH-754 Financial Mathematics-II 3(3+0)
MATH-755 Stochastic Calculus-I 3(3+0)
MATH-756 Stochastic Calculus-II 3(3+0)
MATH-757 Advanced Topics in Numerical Analysis 3(3+0)
MATH-758 Enumerative Combinatorics 3(3+0)
MATH-759 Symmetries and Exact Solutions of Differential Equations 3(3+0)
MATH-760 Mathematical Analysis of Heat Transfer 3(3+0)
MATH-761 Heat and Mass Transfer 3(3+0)
MATH-762 Advanced Perturbation Methods 3(3+0)
MATH-763 Non-Newtonian Fluid Mechanics 3(3+0)
MATH-764 Plasma Theory-I 3(3+0)
MATH-765 Plasma Theory-II 3(3+0)
MATH-766 Modeling and Simulation 3(3+0)
MATH-767 Advanced Operation Research 3(3+0)
MATH-768 Mathematical Modeling-I 3(3+0)
MATH-769 Mathematical Modeling-II 3(3+0)
MATH-770 Advanced Differential Equations 3(3+0)
MATH-771 Theory of Difference Equations 3(3+0)
MATH-772 Advanced Topics in Dynamical Systems 3(3+0)
MATH-773 General Relativity-I 3(3+0)
MATH-774 General Relativity-II 3(3+0)
MATH-775 Fluid Dynamics 3(3+0)
MATH-776 Numerical Solutions of Partial Differential Equations 3(3+0)
MATH-777 Advanced Heat Transfer 3(3+0)
MATH-778 Momentum and Thermal Boundary Layer Theory 3(3+0)
MATH-779 Numerical Solutions of Ordinary Differential Equations 3(3+0)
MATH-780 Group Analysis of Partial Differential Equations 3(3+0)
MATH-781 Convective Heat Transfer: Viscous Fluids 3(3+0)
MATH-782 Advanced Group Theory 3(3+0)
MATH-783 Advanced Modules Theory 3(3+0)
MATH-784 Advanced Topological Groups 3(3+0)
MATH-785 Advanced Differential Topology 3(3+0)
MATH-786 Commutative Rings 3(3+0)
MATH-787 Cryptography 3(3+0)
MATH-788 Semi ring 3(3+0)
MATH-789 Near ring 3(3+0)
MATH-790 Theory of loop groups 3(3+0)
MATH-791 Research Methodology 3(3+0)


Elective may be offered from the list attached depending on the availability of resources of the department.