BS 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

    8 Semesters, 4 years

  • Eligibility

    Intermediate or equivalent with mathematics at least 45% marks.

  • credit hours



Semester 1

Course Code Course Title Credit Hours
MTH-301 Calculus-I 3(3-0)
MTH-303 Mathematical Methods-I 3(3-0)
STA-322 Introduction to Statistical Theory-I 3(3-0)
PHY-325 Physics-I 3(3-0)
ENG-321 Functional English 3(3-0)
ISL-321 Islamic Studies/Ethics 2(2-0)
  Total 17

Semester 2

Course Code Course Title Credit Hours
MTH-302 Calculus-II 3(3-0)
MTH-304 Mathematical Methods-II 3(3-0)
STA-421 Introduction to Statistical Theory-II 3(3-0)
PHY-425 Physics-II 3(3-0)
ENG-322 English Comprehension and Composition 3(3-0)
PST-321 Pakistan Studies 2(2-0)
  Total 17

Semester 3

Course Code Course Title Credit Hours
MTH-401 Calculus-III 3(3-0)
MTH-403 Mechanics –I 3(3-0)
MTH-405 Differential Equations-I 3(3-0)
MTH-407 Operation Research 3(3-0)
CSI-321 Introduction to Computing Applications 3(2-1)
ENG-421 Communication Skills 3(3-0)
  Total 18

Semester 4

Course Code Course Title Credit Hours
MTH-402 Affine and Euclidean Geometry 3(3-0)
MTH-404 Mechanics –II 3(3-0)
MTH-406 Differential Equations-II 3(3-0)
MTH-408 Metric Spaces 3(3-0)
MTH-410 C++ 3(2-1)
PSY-422 Economics 3(3-0)
  Total 18



Semester 5

Course Code Course Title Credit Hours
MTH-501 Real Analysis-I 3(3–0)
MTH-503 Complex Analysis-I 3(3–0)
MTH-505 Algebra-I 3(3–0)
MTH-507 Vector and Tensor Analysis 3(3–0)
MTH-509 Point Set Topology 3(3-0)
MTH-511 Differential Geometry 3(3-0)
  Total 18



Semester 6

Course Code Course Title Credit Hours
MTH-502 Real Analysis-II 3(3–0)
MTH-504 Complex Analysis-II 3(3–0)
MTH-506 Algebra-II 3(3–0)
MTH-508 Mechanics 3(3–0)
MTH-510 Functional Analysis 3(3–0)
MTH-512 Advance Mathematical Methods 3(3-0)
  Total 18



Semester 7

Course Code Course Title Credit Hours
MTH-601 Numerical Analysis-I 3(3–0)
MTH-603 Partial Differential Equations 3(3-0)
MTH-605 Advanced Set Theory 3(3–0)
  Optional Papers (3 out of following group)  
  Applied Group  
MTH-607 Algebraic Number Theory 3(3–0)
MTH-609 Fluid Mechanics-I 3(3–0)
MTH-611 Operations Research 3(3–0)
MTH-613 Special Theory of Relativity 3(3–0)
MTH-615 Quantum Mechanics-I 3(3-0)
  Pure Group  
MTH-621 Algebraic Number Theory 3(3-0)
MTH-623 Advanced Group Theory-I 3(3-0)
MTH-625 Advanced Functional Analysis 3(3-0)
MTH-627 Advanced Topology 3(3-0)
MTH-629 Continuous Groups 3(3-0)
MTH-617 Cryptography 3(3-0)
  Total 18



Semester 8

Course Code Course Title Credit Hours
MTH-602 Numerical Analysis-II 3(3–0)
MTH-604 Computing Tools for Mathematics 3(2-1)
MTH-606 Mathematical Statistics 3(3–0)
  Optional Papers (3 out of following gorup)  
  Applied Group  
MTH-608 Theory of Optimization 3(3–0)
MTH-610 Fluid Mechanics-II 3(3-0)
MTH-612 Modeling and Simulation 3(3-0)
MTH-614 Special Functions 3(3–0)
MTH-616 Theory of Elasticity 3(3–0)
MTH-618 Quantum Mechanics-II 3(3-0)
  Pure Group  
MTH-622 Advanced Group Theory-II 3(3-0)
MTH-624 Measure Theory 3(3-0)
MTH-626 Advanced Complex Analysis 3(3-0)
MTH-614 Special Functions 3(3-0)
MTH-628 Rings and Fields 3(3-0)
  Credit Hours 18
  Total Credit Hours: 142



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