2025-2029 and Onward
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Year – I |
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Semester – I |
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Course Code |
Course Title |
Credit Hours |
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GEDU-101 |
Functional English |
3 |
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GEDU-102/ GEDU-103 |
Islamic Studies/ Ethics (for Non-Muslim Students in lieu of Islamic Studies) |
2/ 2 |
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GEDU-104 |
Application of Information and Communication Technology |
2 |
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GEDU-104P |
Application of Information and Communication Technology (Practical) |
1 |
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MATH-101 |
Calculus-I |
4 |
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MATH-102 |
Linear Algebra |
4 |
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Total Credit Hours: |
16 |
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Semester – II |
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Course Code |
Course Title |
Credit Hours |
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GEDU-151 |
Expository Writing |
3 |
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GEDU-152 |
Ideology and Constitution of Pakistan |
2 |
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GEDU-153 |
Quantitative Reasoning-I |
3 |
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MATH-151 |
Calculus-II |
4 |
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MATH-152 |
Ordinary Differential Equations |
4 |
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Total Credit Hours: |
16 |
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Year – II |
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Semester – III |
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Course Code |
Course Title |
Credit Hours |
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GEDU-**** |
Social Sciences |
2 |
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GEDU-**** |
Introductory Geography |
2 |
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GEDU-****P |
Introductory Geography (Practical) |
1 |
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GEDU-201 |
Quantitative Reasoning-II |
3 |
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MATH-201 |
Discrete Mathematics |
3 |
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MATH-202 |
Vector & Tensor Analysis |
4 |
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Total Credit Hours: |
15 |
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Semester – IV |
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Course Code |
Course Title |
Credit Hours |
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GEDU-**** |
Introduction to English Literature |
2 |
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GEDU-251 |
Entrepreneurship |
2 |
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GEDU-252 |
Civics & Community Engagement |
2 |
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MATH-251 |
Elementary Group Theory |
4 |
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MATH-252 |
Methods of Mathematical Physics |
3 |
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MATH-253 |
Set Theory & Lattices |
3 |
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Total Credit Hours: |
16 |
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Year – III |
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Semester – V |
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Course Code |
Course Title |
Credit Hours |
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MATH-301 |
Real Analysis-I |
3 |
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MATH-302 |
Group Theory-I |
3 |
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MATH-303 |
Numerical Analysis-I |
3 |
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MATH-304 |
Complex Analysis |
3 |
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MATH-498 |
Field Experience/Internship |
3 |
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Any ONE of the following Allied Courses |
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Fundamental of Physics |
3 |
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Elementary Statistics |
3 |
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Total Credit Hours: |
18 |
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Semester – VI |
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MATH-351 |
Real Analysis-II |
3 |
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MATH-352 |
Rings and Vector Spaces |
3 |
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MATH-353 |
Numerical Analysis-II |
3 |
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Any ONE of the following Elective Courses |
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MATH-354 |
Mechanics |
3 |
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MATH-355 |
Probability Theory |
3 |
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Any ONE of the following Allied Courses |
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Principles of Modern Physics |
3 |
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Probability |
3 |
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Programming Fundamental |
3 |
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Total Credit Hours: |
15 |
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Year – IV |
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|
Semester – VII |
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Course Code |
Course Title |
Credit Hours |
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MATH-401 |
Transform Methods |
3 |
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MATH-402 |
Metric Spaces and Topology |
3 |
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MATH-403 |
Number Theory |
3 |
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Any ONE of the following Elective Courses |
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MATH-404 |
Graph Theory |
3 |
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MATH-405 |
Analytical Dynamics |
3 |
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MATH-406 |
Operation Research-I |
3 |
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Any ONE of the following Allied Courses |
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General Physics |
3 |
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Basic Statistical Inference |
3 |
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Total Credit Hours: |
15 |
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Semester – VIII |
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Course Code |
Course Title |
Credit Hours |
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MATH-451 |
Measure Theory |
3 |
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MATH-452 |
Functional Analysis |
3 |
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MATH-499 |
Capstone Project |
3 |
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Any TWO of the following Elective Courses |
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MATH-453 |
Rings and Modules |
3 |
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MATH-454 |
Programming in MATLAB |
3 |
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MATH-455 |
Mathematical Statistics |
3 |
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MATH-456 |
Group Theory-II |
3 |
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MATH-457 |
Operation Research-II |
3 |
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Any ONE of the following Allied Courses |
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Advanced Physics |
3 |
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Experimental Design |
3 |
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Artificial Intelligence |
3 |
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Total Credit Hours: |
18 |
Total credit hours = 129 CR
Note: Students of BS Mathematics may opt single minor program of 12 CHs. or two minor programs of 24 CHs. as per availability of resources and offering of the concerned department.
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Year – I |
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Semester – I |
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Course Code |
Course Title |
Credit Hours |
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Courses of 09 Credit Hours shall be offered from the list of core courses as per availability of resource |
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Math-*** |
Core Course-I |
03 |
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Math-*** |
Core Course-II |
03 |
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Math-*** |
Core Course-III |
03 |
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One course shall be offered from the list of Pure/Computational & Applied Mathematics courses as per availability of resources |
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Math-*** |
Specialized Course-I |
03 |
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Semester – II |
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Course Code |
Course Title |
Credit Hours |
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Four courses shall be offered from the list of Pure/Computational & Applied Mathematics courses as per availability of resources |
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Math-*** |
Specialized Course-II |
03 |
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Math-*** |
Specialized Course-III |
03 |
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Math-*** |
Specialized Course-IV |
03 |
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Math-*** |
Specialized Course-V |
03 |
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Year – II |
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Semester – III and IV |
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Course Code |
Course Title |
Credit Hours |
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Math-799 |
Thesis |
12 |
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Core Courses |
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Course Code |
Course Title |
Credit Hours |
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Math-601 |
Advanced Functional Analysis |
3 |
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Math-602 |
Advanced Numerical Analysis |
3 |
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Math-603 |
Riemannian Geometry |
3 |
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Math-604 |
Research Methodology |
3 |
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Math-605 |
Advanced Mathematical Physics |
3 |
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Math-606 |
Perturbation Techniques |
3 |
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Pure Mathematics Courses |
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Course Code |
Course Title |
Credit Hours |
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Math-607 |
Algebraic Topology |
3 |
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Math-608 |
Advanced Group Theory-I |
3 |
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Math-609 |
Advanced Group Theory-II |
3 |
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Math-610 |
Topological Vector Spaces |
3 |
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Math-611 |
Advanced Number Theory |
3 |
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Math-612 |
Theory of Rings and Modules |
3 |
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Math-613 |
Field Extension and Galois Theory |
3 |
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Math-614 |
Lattices and Boolean Algebra |
3 |
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Math-615 |
Advanced Measure Theory |
3 |
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Math-616 |
Theory of Semirings |
3 |
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Computational & Applied Mathematics |
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Course Code |
Course Title |
Credit Hours |
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Math-617 |
Special Theory of Relativity |
3 |
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Math-618 |
Operations Research |
3 |
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Math-619 |
Design Theory |
3 |
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Math-620 |
Numerical Solutions of PDEs |
3 |
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Math-621 |
Computer Programming |
2 |
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Math-621P |
Computer Programming |
1 |
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Math-622 |
General Theory of Relativity |
3 |
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Math-623 |
Computer Aided Geometric Design |
3 |
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Math-624 |
Optimization Theory |
3 |
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Math-625 |
Approximation Theory |
3 |
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Math-626 |
Numerical Solutions of Integral Equations |
3 |
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Math-627 |
Advanced Graph Theory |
3 |
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Math-628 |
Combinatorics |
3 |
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Math-629 |
Digital Image Processing |
3 |
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Math-630 |
Computer Vision |
3 |
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Math-631 |
Computational Linear Algebra |
3 |
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Math-632 |
Digital Signal Processing |
3 |
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Math-633 |
Fluid Mechanics-I |
3 |
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Math-634 |
Fluid Mechanics-II |
3 |
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Math-635 |
Fractional Calculus |
3 |
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Math-636 |
Non-Newtonian Fluid Dynamics |
3 |
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Math-637 |
Introductory Knot Theory |
3 |
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Math-638 |
Mathematical Epidemiology |
3 |
Ph.D Mathematics
2025-Onward
YEAR-1
SEMESTER-I
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Course Code |
Course Title |
Credit Hours |
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Math-*** |
The course will be selected by the student from Annexure A on the availability of faculty member expertise and number of students |
3(3+0) |
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Math-*** |
The course will be selected by the student from Annexure B and C on the availability of faculty member expertise and number of students |
3(3+0) |
|
Math-*** |
3(3+0) |
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|
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Total Credits |
09 |
SEMESTER-II
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Course Code |
Course Title |
Credit Hours |
|
Math-*** |
The course will be selected by the student from Annexure A on the availability of faculty member expertise and number of students |
3(3+0) |
|
Math-*** |
The course will be selected by the student from Annexure B and C on the availability of faculty member expertise and number of students |
3(3+0) |
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Math-*** |
3(3+0) |
|
|
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Total Credits |
09 |
Total Credit Hours: 09+09=18 CR
ANNEXURE A
LIST OF COURSES
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Course Code |
Course Title |
Credit Hours |
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Math-801 |
Advanced Functional Analysis |
3(3+0) |
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Math-802 |
Advanced Numerical Analysis |
3(3+0) |
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Math-803 |
Special Theory of Relativity |
3(3+0) |
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Math-804 |
Riemannian Geometry |
3(3+0) |
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Math-805 |
Operations Research |
3(3+0) |
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Math-806 |
Research Methodology |
3(3+0) |
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Math-807 |
Algebraic Topology |
3(3+0) |
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Math-808 |
Advanced Mathematical Physics |
3(3+0) |
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Math-809 |
Research Reading |
3(3+0) |
ANNEXURE B
LIST OF COURSES
(PURE MATHEMATICS)
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Course Code |
Course Title |
Credit Hours |
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Math-810 |
Advanced Group Theory-I |
3(3+0) |
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Math-811 |
Advanced Group Theory-II |
3(3+0) |
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Math-812 |
Topological Vector Spaces |
3(3+0) |
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Math-813 |
Advanced Number Theory |
3(3+0) |
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Math-814 |
Theory of Rings and Modules |
3(3+0) |
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Math-815 |
Field Extension and Galois Theory |
3(3+0) |
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Math-816 |
Lattices and Boolean Algebra |
3(3+0) |
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Math-817 |
Advanced Measure Theory |
3(3+0) |
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Math-818 |
Theory of Semi Rings |
3(3+0) |
ANNEXURE C
LIST OF COURSES
(APPLIED & COMPUTATIONAL MATHEMATICS)
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Course Code |
Course Title |
Credit Hours |
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Math-819 |
Design Theory |
3(3+0) |
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Math-820 |
Numerical Solutions of PDEs |
3(3+0) |
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Math-821 |
General Theory of Relativity |
3(3+0) |
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Math-822 |
Computer Aided Geometric Design |
3(3+0) |
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Math-823 |
Optimization Theory |
3(3+0) |
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Math-824 |
Approximation Theory |
3(3+0) |
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Math-825 |
Numerical Solutions of Integral Equations |
3(3+0) |
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Math-826 |
Advanced Graph Theory |
3(3+0) |
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Math-827 |
Combinatorics |
3(3+0) |
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Math-828 |
Perturbation Techniques |
3(3+0) |
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Math-829 |
Digital Image Processing |
3(3+0) |
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Math-830 |
Computer Vision |
3(3+0) |
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Math-831 |
Computational Linear Algebra |
3(3+0) |
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Math-832 |
Digital Signal Processing |
3(3+0) |
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Math-833 |
Fluid Mechanics-I |
3(3+0) |
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Math-834 |
Fluid Mechanics-II |
3(3+0) |
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Math-835 |
Fractional Calculus |
3(3+0) |
|
Math-836 |
Non-Newtonian Fluid Dynamics |
3(3+0) |
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Math-837 |
Introductory Kont Theory |
3(3+0) |
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Math-838 |
Mathematical Epidemiology |
3(3+0) |
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Math-839 |
Cosmology |
3(3+0) |
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Math-840 |
Data Science with Python |
3(3+0) |