Courses for BS
Semester-1
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| HUM-3101 | Islamic Studies |
2 |
0 |
2 |
| ENG-3102 | English-I |
3 |
0 |
3 |
| COM-3103 | Introduction to Computers |
2 |
1 |
3 |
| PHY-3104 | Physics-I |
3 |
0 |
3 |
| MAT-3105 | Calculus-I |
4 |
0 |
4 |
| MAT-3106 | Algebra-I |
3 |
0 |
3 |
|
Total |
18 |
|||
Semester-2
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| HUM-3201 | Arabic |
2 |
0 |
2 |
| ENG-3202 | English-II |
3 |
0 |
3 |
| HUM-3203 | Pakistan Studies |
2 |
0 |
2 |
| PHY-3204 | Physics-II |
3 |
0 |
3 |
| MAT-3205 | Calculus-II |
3 |
0 |
3 |
| MAT-3206 | Algebra-II |
3 |
0 |
3 |
|
Total |
16 |
|||
Semester-3
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| HUM-4301 | Introduction to Sociology |
3 |
0 |
3 |
| ENG-4302 | English-III: Communication Skills |
3 |
0 |
3 |
| MAT-4303 | Programing Languages for Mathematicians |
2 |
1 |
3 |
| MAT-4304 | Mathematical Statistics-I |
3 |
0 |
3 |
| MAT-4305 | Calculus-III |
3 |
0 |
3 |
| MAT-4306 | Algebra-III |
3 |
0 |
3 |
| MAT-4307 | Guest/Student Seminar-I | S/U | ||
|
Total |
18 |
|||
Semester-4
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| PSY-4401 | Introduction to Psychology |
3 |
0 |
3 |
| ENG-4402 | English-IV: Technical Writing |
3 |
0 |
3 |
| MAT-4403 | Vector & Tensor Analysis |
3 |
0 |
3 |
| MAT-4404 | Mathematical Statistics-II |
3 |
0 |
3 |
| MAT-4405 | Classical Mechanics |
3 |
0 |
3 |
| MAT-4406 | Number Theory |
2 |
0 |
2 |
| MAT-4407 | Guest/Student Seminar-II | S/U | ||
|
Total |
17 |
|||
Semester-5
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-5501 | Real Analysis-I |
2 |
0 |
2 |
| MAT-5502 | Differential Geometry-I |
3 |
0 |
3 |
| MAT-5503 | Ordinary Differential Equations |
3 |
0 |
3 |
| MAT-5504 | Topology-I |
3 |
0 |
3 |
| MAT-5505 | Analytical Mechanics |
3 |
0 |
3 |
| MAT-5506 | Abstract Algebra-I |
3 |
0 |
3 |
| MAT-5507 | Guest/Student Seminar-III | S/U | ||
|
Total |
17 |
|||
Semester-6
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-5601 | Real Analysis-II |
2 |
0 |
2 |
| MAT-5602 | Numerical Analysis |
3 |
0 |
3 |
| MAT-5603 | Partial Differential Equations |
3 |
0 |
3 |
| MAT-5604 | Topology-II |
3 |
0 |
3 |
| MAT-5605 | Complex Analysis |
3 |
0 |
3 |
| MAT-5606 | Abstract Algebra-II |
3 |
0 |
3 |
| MAT-5607 | Guest/Student Seminar IV | S/U | ||
|
Total |
17 |
|||
Semester-7
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-6704 | Functional Analysis-I |
3 |
0 |
3 |
| MAT-6707 | Guest/Student Seminar-V |
S/U |
||
| MAT-6713 | Mathematical Physics |
3 |
0 |
3 |
| Three Optional Courses | ||||
| MAT-6701 | Measure Theory |
3 |
0 |
3 |
| MAT-6702 | Differential Geometry-II |
3 |
0 |
3 |
| MAT-6703 | Numerical Solution of ODEs |
3 |
0 |
3 |
| MAT-6705 | Geometric Function Theory-I |
3 |
0 |
3 |
| MAT-6706 | Algebraic Topology |
3 |
0 |
3 |
| MAT-6708 | Fluid Mechanics-I |
3 |
0 |
3 |
| MAT-6709 | Convex Analysis-I |
3 |
0 |
3 |
| MAT-6710 | Quantum Mechanics-I |
3 |
0 |
3 |
| MAT-6711 | Variational Inequalities-I |
3 |
0 |
3 |
| MAT-6712 | Operational Research |
3 |
0 |
3 |
| MAT-6714 | Complex Analysis of Several Variables |
3 |
0 |
3 |
| MAT-6715 | Analytical Dynamics |
3 |
0 |
3 |
| MAT-6716 | Special Relativity |
3 |
0 |
3 |
| MAT-6717 | General Tensor |
3 |
0 |
3 |
| MAT-6718 | Approximation Theory |
3 |
0 |
3 |
| MAT-6719 | Electromagnetic Theory-I |
3 |
0 |
3 |
| MAT-6720 | Riemannian Geometry |
3 |
0 |
3 |
|
Total |
15 |
|||
Semester-8
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-6807 | Guest/Student Seminar-VI | S/U | ||
| MAT-6813 | Integral Equations |
3 |
0 |
3 |
| Three Optional Courses or Two Optional +Project | ||||
| MAT-6801 | Finite Element Methods |
3 |
0 |
3 |
| MAT-6802 | Modeling & Simulation |
3 |
0 |
3 |
| MAT-6803 | Numerical Solutions of PDEs |
3 |
0 |
3 |
| MAT-6804 | Functional Analysis-II |
3 |
0 |
3 |
| MAT-6805 | Geometric Function Theory-II |
3 |
0 |
3 |
| MAT-6806 | Commutative Rings & Fields |
3 |
0 |
3 |
| MAT-6808 | Fluid Mechanics-II |
3 |
0 |
3 |
| MAT-6809 | Convex Analysis-II |
3 |
0 |
3 |
| MAT-6810 | Quantum Mechanics-II |
3 |
0 |
3 |
| MAT-6811 | Variational Inequalities-I |
3 |
0 |
3 |
| MAT-6812 | Optimization Theory |
3 |
0 |
3 |
| MAT-6814 | Theory of Manifolds |
3 |
0 |
3 |
| MAT-6815 | Theory of Elasticity |
3 |
0 |
3 |
| MAT-6816 | General Relativity |
3 |
0 |
3 |
| MAT-6817 | Graph Theory |
3 |
0 |
3 |
| MAT-6818 | Decomposition of Modules |
3 |
0 |
3 |
| MAT-6819 | Electromagnetic Theory-II |
3 |
0 |
3 |
| MAT-6820 | Group Graph |
3 |
0 |
3 |
| MAT-6821 | Introduction of Combinatorics |
3 |
0 |
3 |
| MAT-6822 | Comprehensive Oral Examination |
S/U |
||
| MAT-6823 | Project |
3 |
0 |
3 |
|
Total |
17 |
|||
Note: Elective courses mentioned above without any pre-requisite can be taught in 7th or 8th semester.
Courses for M.Sc
Semester-1
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-5101 | Real Analysis-I |
2 |
0 |
2 |
| MAT-5102 | Differential Geometry-I |
3 |
0 |
3 |
| MAT-5103 | Ordinary Differential Equations |
3 |
0 |
3 |
| MAT-5104 | Topology-I |
3 |
0 |
3 |
| MAT-5105 | Analytical Mechanics |
3 |
0 |
3 |
| MAT-5106 | Abstract Algebra-I |
3 |
0 |
3 |
| MAT-5107 | Guest/Student Seminar-I | S/U | ||
|
Total |
17 |
|||
Semester-2
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-5201 | Real Analysis-II |
2 |
0 |
2 |
| MAT-5202 | Numerical Analysis |
3 |
0 |
3 |
| MAT-5203 | Partial Differential Equations |
3 |
0 |
3 |
| MAT-5204 | Topology-II |
3 |
0 |
3 |
| MAT-5205 | Complex Analysis |
3 |
0 |
3 |
| MAT-5206 | Abstract Algebra-II |
3 |
0 |
3 |
| MAT-5207 | Guest/Student Seminar-II |
S/U |
||
|
Total |
17 |
|||
Semester-3
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. | ||
| MAT-6304 | Functional Analysis-I |
3 |
0 |
3 |
||
| MAT-6307 | Guest/Student Seminar-III |
S/U |
||||
| MAT-6313 | Mathematical Physics |
3 |
0 |
3 |
||
| Three Optional Courses | ||||||
| MAT-6301 | Measure Theory |
3 |
0 |
3 |
||
| MAT-6302 | Differential Geometry-II |
3 |
0 |
3 |
||
| MAT-6303 | Numerical Solution of ODEs |
3 |
0 |
3 |
||
| MAT-6305 | Geometric Function Theory-I |
3 |
0 |
3 |
||
| MAT-6306 | Algebraic Topology |
3 |
0 |
3 |
||
| MAT-6308 | Fluid Mechanics-I |
3 |
0 |
3 |
||
| MAT-6309 | Convex Analysis-I |
3 |
0 |
3 |
||
| MAT-6310 | Quantum Mechanics-I |
3 |
0 |
3 |
||
| MAT-6311 | Variational Inequalities-I |
3 |
0 |
3 |
||
| MAT-6312 | Operational Research |
3 |
0 |
3 |
||
| MAT-6314 | Complex Analysis of Several Variables |
3 |
0 |
3 |
||
| MAT-6315 | Analytical Dynamics |
3 |
0 |
3 |
||
| MAT-6316 | Special Relativity |
3 |
0 |
3 |
||
| MAT-6317 | General Tensor |
3 |
0 |
3 |
||
| MAT-6318 | Approximation Theory |
3 |
0 |
3 |
||
| MAT-6319 | Electromagnetic Theory-I |
3 |
0 |
3 |
||
| MAT-6320 | Riemannian Geometry |
3 |
0 |
3 |
||
| MAT-6321 | Mathematical Statistics-II |
3 |
0 |
3 |
||
| MAT-6322 | Programming Languages for Mathematicians |
2 |
1 |
3 |
||
|
Total |
15 |
|||||
Semester-4
| Course Code | Course Title | Lec. Hrs. | Lab. Hrs. | Cr. Hrs. |
| MAT-6407 | Guest/Student Seminar-IV | S/U | ||
| MAT-6413 | Integral Equations |
3 |
0 |
3 |
| Three Optional Courses or Two Optional +Project | ||||
| MAT-6401 | Finite Element Methods |
3 |
0 |
3 |
| MAT-6402 | Modeling & Simulation |
3 |
0 |
3 |
| MAT-6403 | Numerical Solutions of PDEs |
3 |
0 |
3 |
| MAT-6404 | Functional Analysis-II |
3 |
0 |
3 |
| MAT-6405 | Geometric Function Theory-II |
3 |
0 |
3 |
| MAT-6406 | Commutative Rings & Fields |
3 |
0 |
3 |
| MAT-6408 | Fluid Mechanics-II |
3 |
0 |
3 |
| MAT-6409 | Convex Analysis-II |
3 |
0 |
3 |
| MAT-6410 | Quantum Mechanics-II |
3 |
0 |
3 |
| MAT-6411 | Variational Inequalities-I |
3 |
0 |
3 |
| MAT-6412 | Optimization Theory |
3 |
0 |
3 |
| MAT-6414 | Theory of Manifolds |
3 |
0 |
3 |
| MAT-6415 | Theory of Elasticity |
3 |
0 |
3 |
| MAT-6416 | General Relativity |
3 |
0 |
3 |
| MAT-6417 | Graph Theory |
3 |
0 |
3 |
| MAT-6418 | Decomposition of Modules |
3 |
0 |
3 |
| MAT-6419 | Electromagnetic Theory-II |
3 |
0 |
3 |
| MAT-6420 | Group Graph |
3 |
0 |
3 |
| MAT-6421 | Introduction of Combinatorics |
3 |
0 |
3 |
| MAT-6422 | Comprehensive Oral Examination |
S/U |
||
| MAT-6423 | Project/Thesis |
3 |
0 |
3 |
| MAT-6424 | Mathematical Statistics-II |
3 |
0 |
3 |
|
Total |
12 |
|||
Note: Elective course mentioned above without any pre-requisite can be taught in 3rd or 4th semester.
Courses for M.Phil
| Courses | Course Title | Cr. Hrs. |
| MAT-7101 | Advanced Functional Analysis-I |
03 |
| MAT-7102 | Advanced Measure Theory-I |
03 |
| MAT-7103 | Advanced Topology-I |
03 |
| MAT-7104 | Lie Algebra |
03 |
| MAT-7105 | Topological Groups |
03 |
| MAT-7106 | Topological Vector Spaces |
03 |
| MAT-7107 | Theory of Group Graphs |
03 |
| MAT-7108 | Theory of Group Actions |
03 |
| MAT-7109 | Theory of Complex Manifolds |
03 |
| MAT-7110 | Approximation Theory |
03 |
| MAT-7111 | Complex Analysis of Several Variables |
03 |
| MAT-7112 | Advanced Partial Differential Equations |
03 |
| MAT-7113 | Magneto hydrodynamics-I |
03 |
| MAT-7114 | Electrodynamics-I |
03 |
| MAT-7115 | Advanced Analytical Dynamics-I |
03 |
| MAT-7116 | General Relativity |
03 |
| MAT-7117 | Astrophysics |
03 |
| MAT-7118 | The Classical Theory of Fields |
03 |
| MAT-7119 | Mathematical Techniques for Boundary Value Problems |
03 |
| MAT-7120 | Basics of the Theory of Fluids |
03 |
| MAT-7121 | Sampling Techniques-I |
03 |
| MAT-7122 | Multivariate Analysis- I |
03 |
| MAT-7123 | Finite Mixture Distributions-I |
03 |
| MAT-7124 | Geometric Function Theory-1 |
03 |
| MAT-7125 | Advanced Convex Analysis |
03 |
| MAT-7126 | Advanced Optimization Theory |
03 |
| MAT-7127 | Advanced Real Analysis-I |
03 |
| MAT-7128 | Variational Inequalities-I |
03 |
| MAT-7201 | Advanced Functional Analysis-II |
03 |
| MAT-7202 | Advanced Measure Theory-II |
03 |
| MAT-7203 | Advanced Topology-II |
03 |
| MAT-7204 | Banach Algebras (Pre-requisite MAT-7201) |
03 |
| MAT-7205 | Loop Groups (Pre-requisite MAT-7104) |
03 |
| MAT-7206 | C* -Algebras(Pre-requisite MAT-7201) |
03 |
| MAT-7207 | Topological Algebras (Pre-requisite MAT-7201) |
03 |
| MAT-7208 | Advanced Integral Equations |
03 |
| MAT-7209 | Magneto hydrodynamics-II |
03 |
| MAT-7210 | Electrodynamics-II |
03 |
| MAT-7211 | Advanced Analytical Dynamics-II |
03 |
| MAT-7212 | Cosmology (Pre-requisite MAT-7116) |
03 |
| MAT-7213 | Non-Newtonian Fluid Mechanics(Pre-requisite MAT-7120) |
03 |
| MAT-7214 | Numerical Solutions of Partial Differential Equations |
03 |
| MAT-7215 | Group Methods for Differential Equations |
03 |
| MAT-7216 | Sampling Techniques-II |
03 |
| MAT-7217 | Multivariate Analysis- II |
03 |
| MAT-7218 | Finite Mixture Distributions-II |
03 |
| MAT-7219 | Variational Methods in Theoretical Physics and Chemistry |
03 |
| MAT-7220 | V-Invex Functions and Vector Optimization |
03 |
| MAT-7221 | Convex Analysis and Variational |
03 |
| MAT-7222 | An Introduction to Stochastic Differential Equations |
03 |
| MAT-7223 | Subordination in Geometric Function Theory |
03 |
| MAT-7224 | Geometric Function Theory-II |
03 |
| MAT-7225 | Generalized Convexity and Monotonicity |
03 |
| MAT-7226 | Complementarity Problems and Variational |
03 |
| MAT-7227 | Theory Advanced Real Analysis-II |
03 |
| MAT-7228 | Variational Inequalities-II |
03 |
| MAT-7229 | Convolution in Geometric Function Theory |
03 |
| MAT-8401 | Thesis |
03 |
| MAT-8402 | Student’s Seminar |
01 |
Note: Courses mentioned above without any pre-requisite can be taught in any semester as par requirement and feasibility.
Scheme of Study for PhD Program
Code Title Credit Hours
MAT-7998 Seminar I 01
MAT-7999 Seminar II 01
MAT-8000 Thesis 50
MAT-8102 Comprehensive Examination (Written & Oral) P/F
Elective Courses* (18 credit hrs)
In the following, a list of elective courses is given. A student will hav to complete 18 credit hours of his/her course work from these courses on the recommendation of his/her supervisor.
Code Course Title Credit Hours
MAT-8001 Advanced Functional Analysis 03
MAT-8002 Advanced Partial Differential Equations 03
MAT-8003 Variational Inequalities 03
MAT-8004 Convex Analysis 03
MAT-8005 Parameter Estimation and Sensitivity Analysis 03
MAT-8006 Semigroups in Geometric Functions Theory 03
MAT-8007 Differential Subordination Theory and Applications 03
MAT-8008 Conformal Mappings 03
MAT-8009 Perturbation Methods 03
MAT-8010 Electro-dynamics 03
MAT-8011 Magneto-hydro-dynamics 03
MAT-8012 Fundamentals of Turbulence 03
MAT-8013 LIE Group Analysis of Differential Equations 03
MAT-8014 Selected Topics in Applied Mathematics 03
MAT-8015 Selected Topics in Pure Mathematics 03
MAT-8016 Numerical Solutions of PDEs 03
MAT-8017 Design Methods for Control Systems 03
MAT-8018 Optimal State Estimation 03
MAT-8019 Linear Matrix Inequalities 03
MAT-8020 Advanced Probability Theory 03
MAT-8021 Advanced Sampling Techniques 03
MAT-8022 Advanced Fininite Mixture Distributions 03
MAT-8023 Advanced Mathematical Statistics 03
MAT-8024 Stochastic Differential Equations 03
MAT-8025 Fixed Point Theory and Applications 03
MAT-8026 Integral Inequalities 03
MAT-8027 Banach Algebras 03
MAT-8028 Harmonic Functions Theory 03
MAT-8029 Cosmology 03
MAT-8030 Bifurcation and Chaos 03
*Apart from this list, a student may also register in a course with M.Phil. class with the consent of his/her supervisor provided the student did not take this course already while doing M.Phil.