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.