BS (4-Year) Mathematics
2022-2026 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
2022-2024 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
* The course will be selected by the student from Annexure A on the availability of faculty member expertise and number of students.
**The course will be selected by the student from Annexure B and C on the availability of faculty member expertise and number of students.
ANNEXURE A
LIST OF COURSES
|
Course Code |
Course Title |
Credit Hours |
|
Math-501 |
Advanced Functional Analysis |
3(3+0) |
|
Math-502 |
Advanced Numerical Analysis |
3(3+0) |
|
Math-503 |
Special Theory of Relativity |
3(3+0) |
|
Math-504 |
Riemannian Geometry |
3(3+0) |
|
Math-505 |
Operations Research |
3(3+0) |
|
Math-506 |
Research Methodology |
3(3+0) |
|
Math-507 |
Algebraic Topology |
3(3+0) |
|
Math-508 |
Advanced Mathematical Physics |
3(3+0) |
ANNEXURE B
LIST OF COURSES
(PURE MATHEMATICS)
|
Course Code |
Course Title |
Credit Hours |
|
Math-509 |
Advanced Group Theory-I |
3(3+0) |
|
Math-510 |
Advanced Group Theory-II |
3(3+0) |
|
Math-511 |
Topological Vector Spaces |
3(3+0) |
|
Math-512 |
Algebraic Number Theory |
3(3+0) |
|
Math-513 |
Theory of Rings and Modules |
3(3+0) |
|
Math-514 |
Field Extension and Galois Theory |
3(3+0) |
|
Math-515 |
Lattices and Boolean Algebra |
3(3+0) |
|
Math-531 |
Advanced Measure Theory |
3(3+0) |
|
Math-532 |
Theory of Semirings |
3(3+0) |
ANNEXURE C
LIST OF COURSES
(COMPUTATIONAL MATHEMATICS)
|
Course Code |
Course Title |
Credit Hours |
|
Math-516 |
Design Theory |
3(3+0) |
|
Math-517 |
Numerical Solutions of PDEs |
3(3+0) |
|
Math-518 |
Computer Programming |
3(2+1) |
|
Math-519 |
General Theory of Relativity |
3(3+0) |
|
Math-520 |
Computer Aided Geometric Design |
3(3+0) |
|
Math-521 |
Optimization Theory |
3(3+0) |
|
Math-522 |
Approximation Theory |
3(3+0) |
|
Math-523 |
Numerical Solutions of Integral Equations |
3(3+0) |
|
Math-524 |
Advanced Graph Theory |
3(3+0) |
|
Math-525 |
Combinatorics |
3(3+0) |
|
Math-526 |
Perturbation Techniques |
3(3+0) |
|
Math-527 |
Digital Image Processing |
3(3+0) |
|
Math-528 |
Computer Vision |
3(3+0) |
|
Math-529 |
Computational Linear Algebra |
3(3+0) |
|
Math-530 |
Digital Signal Processing |
3(3+0) |
|
Math-533 |
Fluid Mechanics-I |
3(3+0) |
|
Math-534 |
Fluid Mechanics-II |
3(3+0) |
|
Math-535 |
Fractional Calculus |
3(3+0) |
|
Math-536 |
Non-Newtonian Fluid Dynamics |
3(3+0) |
|
Math-537 |
Introductory Knot Theory |
3(3+0) |
|
Math-538 |
Mathematical Epidemiology |
3(3+0) |
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 |
|
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 |