Department of Mathematics

Scheme of Studies

Scheme of Studies 
BS (4-Years) Mathematics 
2021-2025 and Onward 
STRUCTURE OF SCHEME OF STUDY 

Nature of Courses 

Numbers of Course 

Credits Hours 

Compulsory Courses (No choice) 

06 

16 

Minor Courses from other discipline 

04 

16 

Foundation Courses 

10 

37 

Major Courses 

22 

66 

Total Credit Hours 

 

135 

YEAR-1 
SEMESTER-I 

Course No 

Course Title 

Credits 

CC/Eng-108 

Literary Reading and Grammar: Syntax 

3(3+0) 

CC/PS-101 

Pakistan Studies 

2(2+0) 

Maj/Math-101 

Calculus-I 

4(4+0) 

Maj/Math-105 

Linear Algebra 

4(4+0) 

Min/Phy-101 

Min/Stat-101 

Min/Eco-101 

Fundamentals of Physics 

Introductory Statistics 

Micro Economics 

(Minor – I Choose Any One) 

4(3+1) 

4(3+1) 

4(4+0) 

  

Total Credits 

17 

SEMESTER-II 

Course No 

Course Title 

Credits 

CC/Eng-109 

Basic Study and Writing Skills 

3(3+0) 

CC/Isl-101/ CC/Phil-101 

Islamic Education  / Ethics (For Non-Muslims)   

2(2+0) 

Maj/Math-103 

Calculus-II 

4(4+0) 

Maj/Math-106 

Elementary Group Theory 

4(4+0) 

Min/Phy-102 

Min/Stat-102 

Min/Eco-102 

Computational Physics 

Introduction to Probability Distribution 

Macro Economics 

(Minor – II Choose Any One) 

4(3+1) 

4(3+1) 

4(4+0) 

  

Total Credits 

17 

YEAR-2 
SEMESTER-III 

Course No 

Course Title 

Credits 

CC/Eng-204 

English Verse and Communication Skills I 

3(3+0) 

Maj/Math-201 

Calculus-III 

4(4+0) 

Maj/Math-207 

Dynamics 

4(4+0) 

Maj/Math-205 

Discrete Mathematics 

2(2+0) 

Min/Phy-201 

Min/Stat-201 

Min/Eco-201 

General Physics 

Statistical Inference 

Mathematical Economics 

(Minor – III Choose Any One) 

4(3+1) 

4(3+1) 

4(4+0) 

  

Total Credits 

17 

SEMESTER-IV 

Course No 

Course Title 

Credits 

CC/Eng-205 

Communication Skills II 

3(3+0) 

Maj/Math-203 

Calculus-IV 

4(4+0) 

Maj/Math-204 

Statics 

4(4+0) 

Maj/Math-206 

Programming Fundamentals 

3(2+1) 

Min/Phy-202 

Min/Stat-202 

  

Min/Eco-202 

Advanced Physics 

Introduction to Regression Analysis and Experimental Designs 

Economics of Pakistan 

(Minor – IV Choose Any One) 

4(3+1) 

4(3+1) 

4(4+0) 

  

Total Credits 

18 

YEAR-3 
SEMESTER-V 

Course No 

Course Title 

Credits 

Maj/Math-301 

Real Analysis-I 

3(3+0) 

Maj/Math-314 

Group Theory-I 

3(3+0) 

Maj/Math-303 

Numerical Analysis-I 

3(3+0) 

Maj/Math-304 

Vector Analysis & Cartesian Tensor 

3(3+0) 

Maj/Math-312 

Methods of Mathematical Physics 

3(3+0) 

  

Total Credits 

15 

SEMESTER-VI 

Course No 

Course Title 

Credits 

Maj/Math-307 

Real Analysis-II 

3(3+0) 

Maj/Math-316 

Rings and Vector Spaces 

3(3+0) 

Maj/Math-309 

Numerical Analysis-II 

3(3+0) 

EC/Math-306 

EC/Math-310 

EC/Math-313 

Differential Geometry 

Mechanics 

Transform Methods 

(Choose Any Two) 

3(3+0) 

3(3+0) 3(3+0) 

  

  

Total Credits 

15 

YEAR-4 
SEMESTER-VII 

Course No 

Course Title 

Credits 

CC/Math-401 

Comprehensive-I 

3(3+0) 

Maj/Math-401 

Set  Theory and Lattices 

3(3+0) 

Maj/Math-403 

Complex Analysis 

3(3+0) 

EC/Math-404 

EC/Math-405 

EC/Math-414 

EC/Math-415 

EC/Math-416 

EC/Math-418 

  

Mathematical Statistics 

Graph Theory 

Analytical Dynamics 

Group Theory-II 

Operations Research-I 

Metric Spaces and Topology 

(Choose Any Three) 

3(3+0) 

3(3+0) 

3(3+0) 

3(3+0) 

3(3+0) 

3(3+0) 

  

  

Total Credits 

18 

SEMESTER-VIII 

Course No 

Course Title 

Credits 

CC/Math-402 

Comprehensive-II 

3(3+0) 

Maj/Math-406 

Measure Theory 

3(3+0) 

Maj/Math-402 

Functional Analysis 

3(3+0) 

EC/Math-413 

EC/Math-409 

EC/Math-410 

EC/Math-411 

EC/Math-417 

  

Rings and Modules 

Theory of Differential Equations 

Programming in MATLAB 

Number Theory 

Operations Research-II 

(Choose Any Three) 

3(3+0) 

3(3+0) 

3(3+0) 

3(2+1) 

3(3+0) 

  

  

Total Credits 

18 

 Total Credit Hours:  17+17+17+18+15+15+18+18=135 CR  
 

MS (2-Year) Mathematics 

2021-2023 and Onward 

YEAR-1 
                                                                                                          SEMESTER-I 

Course Code 

Course Title 

Credits 

Math-501 

Advanced Functional Analysis* 

3(3+0) 

Math-502 

Advanced Numerical Analysis* 

3(3+0) 

Math-520 

Computer Aided Geometric Design** 

3(3+0) 

Math-526 

Perturbation Techniques* 

3(3+0) 

 

Total Credits 

12 

SEMESTER-II 

Course Code 

Course Title 

Credits 

Math-514 

Field Extension and Galois Theory** 

3(3+0) 

Math-517 

Numerical Solutions of PDEs** 

3(3+0) 

Math-521 

Optimization Theory** 

3(3+0) 

Math-524 

Advanced Graph Theory** 

3(3+0) 

  

Total Credits 

12 

 YEAR-2 

SEMESTER-III& IV 

Course Code 

Course Title 

Credits 

Math-601 

Research Work 

12(6+6) 

  

Total Credits 

12 

Total Credit Hours:  12+12+12=36 CR 

Ph.D Mathematics 
2021-Onward 
 
YEAR-1 

SEMESTER-I 

Course Code 

Course Title 

Credits 

Math-702 

Advanced Numerical Analysis* 

3(3+0) 

Math-721 

Computer Aided Geometric Design** 

3(3+0) 

Math-727 

Perturbation Techniques** 

3(3+0) 

 

Total Credits 

09 

SEMESTER-II 

Course Code 

Course Title 

Credits 

Math-709 

Research Reading* 

3(3+0) 

Math-722 

Optimization Theory** 

3(3+0) 

Math-724 

Numerical Solutions of Integral Equations** 

3(3+0) 

  

Total Credits 

09 

Total Credit Hours:09+09=18 CR