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Course Facts
Study Level Study Mode Program Duration Credit Hours

Post Graduate


4 Semesters (2 years)


Eligibility Criteria

Master/BS four years degree in Mathematics with minimum CGPA 2.5 out of 4.00 or minumum 50% marks in annual system. GAT(General)/TUF Entry Test with minimum 50% score


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

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.

Schema of study

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-658 Theroy of Optimization 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.