MSc Mathematics


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.

Role and Scope

Not Available

semesters and courses

  • Duration

    4 Semesters, 2 years

  • Eligibility

    B.Sc(Math) or equivalent with minimum 45% marks.

  • credit hours



Semester 1

Course Code Course Title Credit Hours
MTH-551 Real Analysis-I 3(3-0)
MTH-553 Complex Analysis-I 3(3-0)
MTH-555 Algebra-I 3(3-0)
MTH-557 Vector and Tensor Analysis 3(3-0)
MTH-559 Point Set Topology 3(3-0)
MTH-561 Differential Geometry 3(3-0)
  Total 18

Semester 2

Course Code Course Title Credit Hours
MTH-552 Real Analysis-II 3(3-0)
MTH-554 Complex Analysis-II 3(3-0)
MTH-556 Algebra-II 3(3-0)
MTH-558 Mechanics 3(3-0)
MTH-560 Functional Analysis 3(3-0)
MTH-562 Mathematical Methods 3(3-0)
  Total 18

Semester 3

Course Code Course Title Credit Hours
MTH-651 Numerical Analysis-I 3(3-0)
MTH-653 Partial Differential Equations 3(3-0)
MTH-655 Advanced Set Theory 3(3-0)
  Optional Papers (3 out of following group)  
  Applied Group  
MTH-671 Fluid Mechanics-I 3(3-0)
MTH-673 Special Theory of Relativity 3(3-0)
MTH-675 Operational Research 3(3-0)
MTH-677 Quantum Mechanics-I 3(3-0)
MTH-667 Cryptography 3(3-0)
  Pure Group  
MTH-671 Algebraic Number Theory 3(3-0)
MTH-673 Advanced Group Theory-I 3(3-0)
MTH-675 Advanced Functional Analysis 3(3-0)
MTH-677 Advanced Topology 3(3-0)
MTH-679 Continuous Groups 3(3-0)
MTH-667 Cryptography 3(3-0)
  Total 18

Semester 4

Course Code Course Title Credit Hours
MTH-652 Numerical Analysis-II 3(3-0)
MTH-654 Computing Tools for Mathematics 3(2-1)
MTH-656 Mathematical Statistics 3(3-0)
  Optional Papers (3 out of following Group)  
  Applied Group  
MTH-660 Fluid Mechanics-II 3(3-0)
MTH-662 Modeling and Simulation 3(3-0)
MTH-664 Special Functions 3(3-0)
MTH-666 Theory of Elasticity 3(3-0)
MTH-668 Quantum Mechanics-II 3(3-0)
MTH-660 Fluid Mechanics-II 3(3-0)
  Pure Group  
MTH-672 Advanced Group Theory-II 3(3-0)
MTH-674 Measure Theory 3(3-0)
MTH-676 Advanced Complex Analysis 3(3-0)
MTH-664 Special Functions 3(3-0)
MTH-678 Rings and Fields 3(3-0)
MTH-680 Operator Theory 3(3-0)
  Total 18


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