Scheme of Studies

LIST OF MS/PHD COURSES

Code	Title	Credit Hours
MTH-801	Perturbation Methods-I	3+0
MTH-805	Mathematical Modeling	3+0
MTH-806	Mathematical Essentials for Cryptography	3+0
MTH-807	Relativistic Astrophysics	3+0
MTH-808	Advanced Ordinary Differential Equations with Applications	3+0
MTH-809	Advanced Numerical Analysis	3+0
MTH-810	Numerical Linear Algebra	3+0
MTH-812	Computational Fluid Dynamics	3+0
MTH-815	Boundary Value Problems-I	3+0
MTH-817	Integral Equations and Applications	3+0
MTH-818	Advanced Partial Differential Equations and Applications	3+0
MTH-820	Variational Inequalities and Applications	3+0
MTH-821	Numerical Solution of Partial Differential Equations	3+0
MTH-823	Finite Element Analysis-I	3+0
MTH-824	Advanced Numerical Linear Algebra	3+0
MTH-826	Advanced Mathematical Physics	3+0
MTH-828	Advanced Cryptography	3+0
MTH-829	Fractional Calculus & Applications	3+0
MTH-831	Numerical Solution of Boundary Value Problems for ODEs	3+0
MTH-832	Advanced Fluid Mechanics	3+0
MTH-833	Non-Newtonian Fluid Mechanics	3+0
MTH-834	Numerical Optimization and Applications	3+0
MTH-835	Integral Transforms and their Applications	3+0
MTH-836	Turbulence Modeling	3+0
MTH-837	Thermal and Concentration Boundary Layer	3+0
MTH-838	Mathematical Theory of Elastodynamics	3+0
MTH-839	Advanced Numerical Techniques*	3+0
MTH-840	Mathematical Theory of Liquid Chromatography	3+0
MTH-841	Statistical Mechanics	3+0
EM-501	Topics of Engineering for Mathematicians	3+0
MTH-869	Thesis (MS level)	3+0
MTH-886	PhD Thesis	3+0

1st Semester

Code	Title	Credit Hours
HS-104	Functional English	3(3+0)
BS-105	Applied Physics	3(2+1)
CS-106	Applications of Information Communication Technologies (ICT)	3(2+1)
CS-102	Programming Fundamentals	4(3+1)
MTH-105	Calculus-I	3(3+0)
QT- 101	Translation of The Quran: Beliefs (Non- credit)	1*

2nd Semester

3rd Semester

Code	Title	Credit Hours
HS-404	Foreign Language	2(1+1)
MTH-210	Elementary Number Theory	3(3+0)
MTH-207	Discrete Mathematics	3(3+0)
MT-105	Quantitative Reasoning-II	3(3+0)
HS-402	Economics	2(2+0)
HS-205	Entrepreneurship	2(2+0)
QT- 205	Translation of The Quran: Worships (Non-credit)

4th Semester

Code	Title	Credit Hours
CS-428	Introduction to Machine Learning	3(2+1)
MTH-213	Ordinary Differential Equations	4(4+0)
HS-206	Civics and Community Engagement	2(1+1)
HS-106	Ideology and Constitution of Pakistan	2(2+0)
MTH-214	Real Analysis	3(3+0)
MTH-305	Metric and Topological Spaces	3(3+0)

5th Semester

Code	Title	Credit Hours
MTH-209	Group Theory	3(3+0)
CS-433	Deep Learning and Applications	3(2+1)
MTH-304	Complex Analysis	3(3+0)
MTH-312	Rings & Fields	3(3+0)
MTH-309	Analytical Mechanics	3(3+0)
EC-853	Pattern Recognition & Analysis	3(2+1)
QT- 301	Translation of The Quran: Moral Values (Non- credit)

6th Semester

Code	Title	Credit Hours
MTH-308	DG & Tensor Analysis	3(3+0)
MTH-310	Functional Analysis	3(3+0)
MTH-xxx	Elective-1	3(3+0)
AI-402	Reinforcement Learning	3(2+1)
MTH-307	Partial Differential Equations	3(3+0)
MTH-402	Numerical Techniques	3(3+0)

7th Semester

Code	Title	Credit Hours
MTH-401	Calculus of Variation	3(3+0)
MTH-205	Mathematical computation with software packages	3(2+1)
MTH-404	Integral Equations	3(3+0)
MGT-498	Internship	3(0+3)
MTH-xxx	Elective-2	3(3+0)
AI-304	Swam Intelligence	3(2+1)
QT- 401	Translation of The Quran: Dealings & Commandments (Non-credit)	1*

8th Semester

Elective Courses

Code	Title	Credit Hours
MTH-451	Fuzzy Logics	3+0
MTH-452	Advanced Group Theory	3+0
MTH-453	Theory of Modules	3+0
MTH-454	Analytical Dynamics	3+0
MTH-455	Quantum Mechanics	3+0
MTH-456	Algebraic Geometry	3+0
MTH-457	Theory of Manifolds	3+0
MTH-458	Functional Analysis-II	3+0
MTH-459	Operations Research	3+0
MTH-460	Optimization Theory	2+1
MTH-461	Mathematical Modeling and Simulation	2+1
MTH-462	Theory of Elasticity	3+0
MTH-463	Electromagnetism	3+0
MTH-464	Special Theory of Relativity	3+0
MTH-465	Big Data Analytics	3+0
MTH-405	Mathematical Modeling with Applications	3+0

Department of Mathematics