Introduction
Mathematics is not only a big tool for various sciences but also
significant in our daily lives. The Department of Mathematics is
under the Faculty of Sciences and Technology at the Women
University of Azad Jamu & Kashmir. It was established in 2014 with
the establishment of University. The department offers MPhil, MSc
and BS programs with a strong demanding courses for graduate
and undergraduate studies and research in various fields of
Mathematics, Applied Mathematics and Statistics. The PhD
program will be started withing few years.
The main aim of the department is to provide exceptional
opportunities to women and girls for research and studies in
Mathematics. The department intends to produce mathematicians
who can contribute to the need of society. Our mission is to bring
this department as one of the major research mathematics
departments in Pakistan.
Courses
1st Semester |
Course Code |
Course Title |
Credit Hours |
MAT-3101 |
Calculus-I |
(4+0) cr. |
MAT-3101 |
Calculus-I |
(4+0) cr. |
MAT-3102 |
Elements of set theory & Mathematical Logics |
(3+0) cr. |
PHY-3103 |
Physics-I |
(3+0) cr. |
ENG-3104 |
English-I |
(3+0) cr. |
PAK-3105 |
Pakistan Studies |
(2+0) cr. |
COM-3106 |
Introduction to Computers |
(3+0) cr. |
|
Total |
(18+0)cr |
2nd Semester |
Course Code |
Course Title |
Credit Hours |
MAT-3201 |
Calculus II |
(3+0) cr. |
COM-3202 |
Computer Programming |
(2+1) cr. |
PHY-3203 |
Physics-II |
(3+0) cr. |
ENG-3204 |
English-II |
(3+0) cr. |
STAT-3205 |
Introduction to Statistics |
(3+0) cr. |
ISL-3206 |
Islamic Studies |
(2+0) cr. |
|
Total Credit Hours |
(16+1=17) cr. |
3rd Semester |
Course Code |
Course Title |
Credit Hours |
MAT-4101 |
Calculus-III |
(4+0) cr. |
MAT-4102 |
Algebra I (Group Theory) |
(3+0) cr. |
|
G -1 |
(3+0) cr. |
ENG-4104 |
English-III |
(3+0) cr. |
COM-4105 |
Soft Ware Packages |
(3+0) cr. |
|
Total Credit Hours |
(15+1=16) cr. |
4th Semester |
Course Code |
Course Title |
Credit Hours |
MAT-4201 |
Linear Algebra |
(4+0) cr. |
MAT-4202 |
Affine and Euclidean Geometry |
(3+0) cr. |
MAT-4203 |
Discrete Mathematics |
(3+0) cr. |
ENG-4204 |
English-IV |
(3+0) cr. |
|
G-2 |
(3+0) cr. |
|
Total |
(15+1=16) cr. |
5th Semester |
Course Code |
Course Title |
Credit Hours |
MAT-5101 |
Real Analysis-I |
(3+0) cr. |
MAT-5102 |
Differential Geometry-I |
(3+0) cr. |
MAT-5103 |
Algebra –II |
(3+0) cr. |
MAT-5104 |
Topology-I |
(3+0) cr. |
MAT-5105 |
Ordinary Differential Equations |
(3+0) cr. |
|
Total |
(15+0=15) |
6th Semester |
Course Code |
Course Title |
Credit Hours |
MAT-5201 |
Real Analysis-II |
(3+0) cr. |
MAT-5202 |
Complex Analysis |
(3+0) cr. |
MAT-5203 |
Partial Differential Equations |
(3+0) cr. |
MAT-5204 |
Functional Analysis-I |
(3+0) cr. |
MAT-5205 |
Classical Mechanics |
(3+0) cr. |
|
Total |
(15+0=15) |
7th Semester |
Course Code |
Course Title |
Credit Hours |
MAT-6101 |
Numerical Analysis-I |
(3+1) cr. |
MAT-6102 |
Mathematical Methods |
(3+0) cr. |
MAT-6103 |
Number Theory |
(3+0) cr. |
|
E-1 |
(3+0) cr. |
|
E-2 |
(3+0) cr. |
8th Semester |
Course Code |
Course Title |
Credit Hours |
MAT-6201 |
Probability Theory |
(3+0) cr. |
MAT-6202 |
Integral Equations |
(3+0) cr. |
MAT-6203 |
Project |
(3+0) cr. |
|
E-1 |
(3+0) cr. |
|
E-2 |
(3+0) cr. |
|
Total |
(15+0=15) |
Elective Courses |
Course Code |
Course Title |
Credit Hours |
MAT-6304 |
Fluid Mechanics-I |
(3+0) cr. |
MAT-6305 |
Measure Theory |
(3+0) cr. |
MAT-6306 |
Ring Theory |
(3+0) cr. |
MAT-6307 |
Computer Language (C/C++ ) |
(2+1) cr. |
MAT-6308 |
Mathematical Statistics-I |
(3+0) cr. |
MAT-6309 |
Quantum Mechanics |
(3+0) cr. |
MAT-6310 |
General Tensors |
(3+0) cr. |
MAT-6311 |
Electromagnetism |
(3+0) cr. |
MAT-6312 |
Special theory of Relativity |
(3+0) cr. |
MAT-6313 |
Advanced Calculus |
(3+0) cr. |
MAT-6314 |
Functional Analysis- II |
(3+0) cr. |
MAT-6315 |
Topology-II |
(3+0) cr. |
MAT-6401 |
Numerical Analysis-II |
(2+1) cr. |
MAT-6402 |
Differential Geometry-II |
(3+0) cr. |
MAT-6403 |
Mathematical Physics |
(3+0) cr. |
MAT-6404 |
Fluid Mechanics-II |
(3+0) cr. |
MAT-6405 |
Riemannian Geometry |
(3+0) cr. |
MAT-6406 |
Mathematical Statistics-II |
(3+0) cr. |
MAT-6407 |
Analytical Dynamics |
(3+0) cr. |
MAT-6408 |
Continuous and Symmetric Groups |
(3+0) cr. |
MAT-6410 |
Theory of Elasticity |
(3+0) cr. |
MAT-6411 |
Theory of Manifolds |
(3+0) cr. |
MAT-6412 |
Finite Element Methods |
(3+0) cr. |
MAT-6413 |
General Relativity |
(3+0) cr. |
MAT-6414 |
Introduction of Combinatorics |
(3+0) cr. |
MAT-6415 |
Algebraic Topology |
(3+0) cr. |
MAT-6416 |
Theory of Group Actions |
(3+0) cr. |
MAT-6417 |
Decomposition of Modules |
(3+0) cr. |
MAT-6418 |
Optimization theory |
(3+0) cr. |
MAT-6419 |
An Introduction to Convex Analysis |
(3+0) cr. |
MAT-6420 |
Calculus of Variation |
(3+0) cr. |
MAT-6421 |
Dynamical Systems |
(3+0) cr. |
MAT-6422 |
Mathematica |
(2+1) cr. |
MAT-6423 |
Financial Derivative |
(2+1) cr. |
MAT-6424 |
Actuarial Mathematics |
(3+0) cr. |
MAT-6425 |
History of Mathematics |
(3+0) cr. |
General Courses |
Course Code |
Course Title |
Credit Hours |
MAT-4103 |
Economics |
(3+0) cr. |
MAT-4107 |
Biology |
(3+0) cr. |
MAT-4108 |
Chemistry |
(3+0) cr. |
MAT-4109 |
Accounting |
(3+0) cr. |
MAT-4205 |
Introduction to Numerical Analysis
and and Linear Programming |
(3+0) cr. |
MAT-4206 |
Psychology |
(3+0) cr. |
MAT-4207 |
Sociology |
(3+0) cr. |
MAT-4208 |
Philosophy |
(3+0) cr. |
MAT-4209 |
Environmental Sciences |
(3+0) cr. |
MAT-4210 |
Plane Curves and Analytical Geometry |
(3+0) cr. |
MAT-4211 |
Elementary Number Theory
and Complex Variables |
(3+0) cr. |
MAT-4212 |
Introduction to Metric Spaces and Grgroup Theory |
(3+0) cr. |
MAT-4213 |
Introduction to Dynamics |
(3+0) cr. |
1st Semester |
Course Code |
Course Title |
Credit Hours |
MAT-5101 |
Real Analysis-I |
(3+0) cr. |
MAT-5102 |
Differential Geometry-I |
(3+0) cr. |
MAT-5103 |
Algebra –I |
(3+0) cr. |
MAT-5104 |
Topology-I |
(3+0) cr. |
MAT-5105 |
Ordinary Differential Equations |
(3+0) cr. |
2nd Semester |
Course Code |
Course Title |
Credit Hours |
MAT-5201 |
Real Analysis-II |
(3+0) cr. |
MAT-5202 |
Complex Analysis |
(3+0) cr. |
MAT-5203 |
Algebra-II |
(3+0) cr. |
MAT-5204 |
Functional Analysis-I |
(3+0) cr. |
MAT-5205 |
Mechanics |
(3+0) cr. |
3rd Semester |
Course Code |
Course Title |
Credit Hours |
MAT-6301 |
Numerical Analysis-I |
(3+0) cr. |
MAT-6302 |
Partial Differential Equations |
(3+0) cr. |
MAT-6399 |
Reading / Conference / Seminar |
(3+0) cr. |
Any three courses from the list of Elective Courses. |
4th Semester |
(1) Any five courses from the list of Elective Courses. |
OR |
(2) Any three courses from the list of Elective Courses and Thesis |
Elective Courses |
Course Code |
Course Title |
Credit Hours |
MAT-6304 |
Fluid Mechanics-I |
(3 +0)cr. |
MAT-6305 |
Measure Theory |
(3 +0)cr. |
MAT-6306 |
Ring Theory |
(3 +0)cr. |
MAT-6307 |
Computer Language (C/C++ ) |
(2 +1)cr. |
MAT-6308 |
Mathematical Statistics-I |
(3 +0)cr. |
MAT-6309 |
Quantum Mechanics |
(3 +0)cr. |
MAT-6310 |
General Tensors |
(3 +0)cr. |
MAT-6311 |
Electromagnetism |
(3 +0)cr. |
MAT-6312 |
Special theory of Relativity |
(3 +0)cr. |
MAT-6313 |
Advanced Calculus |
(3 +0)cr. |
MAT-6314 |
Functional Analysis- II |
(3 +0)cr. |
MAT-6315 |
Topology-II |
(3 +0)cr. |
MAT-6401 |
Numerical Analysis-II |
(2 +1)cr. |
MAT-6402 |
Differential Geometry-II |
(3 +0)cr. |
MAT-6403 |
Mathematical Physics |
(3 +0)cr. |
MAT-6404 |
Fluid Mechanics-II |
(3 +0)cr. |
MAT-6405 |
Riemannian Geometry |
(3 +0)cr. |
MAT-6406 |
Mathematical Statistics-II |
(3 +0)cr. |
MAT-6407 |
Analytical Dynamics |
(3 +0)cr. |
MAT-6408 |
Continuous and Symmetric Groups |
(3 +0)cr. |
MAT-6409 |
Integral Equations |
(3 +0)cr. |
MAT-6410 |
Theory of Elasticity |
(3 +0)cr. |
MAT-6411 |
Theory of Manifolds |
(3 +0)cr. |
MAT-6412 |
Finite Element Methods |
(3 +0)cr. |
MAT-6413 |
General Relativity |
(3 +0)cr. |
MAT-6414 |
Introduction of Combinatorics |
(3 +0)cr. |
MAT-6415 |
Algebraic Topology |
(3 +0)cr. |
MAT-6416 |
Theory of Group Actions |
(3 +0)cr. |
MAT-6417 |
Decomposition of Modules |
(3 +0)cr. |
MAT-6418 |
Optimization theory |
(3 +0)cr. |
MAT-6419 |
An Introduction to Convex Analysis |
(3 +0)cr. |
MAT-6420 |
Calculus of Variation |
(3 +0)cr. |
MAT-6421 |
Dynamical Systems |
(3 +0)cr. |
MAT-6422 |
Mathematica |
(2 +1)cr. |
MAT-6423 |
Financial Derivative |
(2 +1)cr. |
MAT-6424 |
Actuarial Mathematics |
(3 +0)cr. |
Mat-6425 |
History of Mathematics |
(3+0)cr. |
M.Phil. Programme(Scheme of Study)
The Syllabi and courses of reading for MPhil./PhD Semester -I and Semester -II of Session 2013 and onward are hereby notified. A total of 31 credit hours of work is required for M.Phil. in Mathematics.
Duration: |
4-6 semesters |
Courses: |
24 credits |
Thesis (MAT-7396): |
06 credits |
Reading and Conference (MAT-7395): |
01 credit |
Total: |
31 credits |
Course Code |
Course Title |
Credit Hours |
MAT-7101 |
Advanced Functional Analysis-I |
03+0 |
MAT-7102 |
Advanced Group Theory |
03+0 |
MAT-7103 |
Semigroup Theory |
03+0 |
MAT-7104 |
Basics of the Theory of Fluid |
0 3+0 |
MAT-7105 |
Topological Groups |
0 3+0 |
MAT-7106 |
Topological Vector Spaces |
03+0 |
MAT-7107 |
Theory of Group Graphs |
03+0 |
MAT-7108 |
Advanced Measure Theory-I |
03+0 |
MAT-7109 |
Theory of Complex Manifolds |
03+0 |
MAT-7110 |
Approximation Theory |
03+0 |
MAT-7112 |
Advanced Partial Differential Equations |
03+0 |
MAT-7113 |
Magnetohydrodynamics-I |
03+0 |
MAT-7114 |
Electrodynamics-I |
03+0 |
MAT-7115 |
Advanced Analytical Dynamics-I |
03+0 |
MAT-7116 |
Advanced General Relativity |
03+0 |
MAT-7117 |
Astrophysics |
03+0 |
MAT-7118 |
The Classical Theory of Fields |
03+0 |
MAT-7119 |
Mathematical Techniques for Boundary Value Problems |
03+0 |
MAT-7120 |
Lie Algebra |
03+0 |
MAT-7121 |
Sampling Techniques-I |
03+0 |
MAT-7122 |
Multivariate Analysis-I |
03+0 |
MAT-7123 |
Finite Mixture Distributions-I |
03+0 |
MAT-7124 |
Fixed Point Theory |
03+0 |
MAT-7125 |
Computer Aided Geometric Design- I |
03+0 |
MAT-7126 |
Advanced Numerical Analysis |
03+0 |
MAT-7127 |
Advanced Complex Analysis |
03+0 |
MAT-7128 |
Advanced Topology-I |
03+0 |
MAT-7129 |
Fuzzy Algebra |
03+0 |
MAT-7130 |
Algebraic Coding Theory |
03+0 |
MAT-7201 |
Advance Functional Analysis-II (Pre-requisite MAT-7101) |
03+0 |
MAT-7202 |
Advance Measure Theory-II (Pre-requisite MAT-7102) |
03+0 |
MAT-7203 |
Advanced Topology-II(Pre-requisite MAT-7103) |
03+0 |
MAT-7204 |
Banach Algebras (Pre-requisite MAT-7201) |
03+0 |
MAT-7205 |
Lie Groups (Pre-requisite MAT-7104) |
03+0 |
MAT-7206 |
C* -Algebras (Pre-requisite MAT-7201) |
03+0 |
MAT-7207 |
Topological Algebras (Pre-requisite MAT-7103 & MAT-7106) |
03+0 |
MAT-7208 |
Advanced Integral Equations |
03+0 |
MAT-7209 |
Magneto hydrodynamics-II (Pre-requisite MAT-7113) |
03+0 |
MAT-7210 |
Electrodynamics-II (Pre - requisite MAT-7114) |
03+0 |
MAT-7211 |
Advanced Analytical Dynamics-II (Pre-requisite MAT-7115) |
03+0 |
MAT-7212 |
Cosmology (Pre-requisite MAT-7116) |
03+0 |
MAT-7213 |
Non- Newtonian Fluid Mechanics (Pre-requisite MAT-7120) |
03+0 |
MAT-7214 |
Numerical Solutions of Partial Differential Equations |
03+0 |
MAT-7215 |
Group Methods for Differential Equations |
03+0 |
MAT-7216 |
Sampling Techniques-II (Pre-requisite MAT-7121) |
03+0 |
MAT-7217 |
Multivariate Analysis- II (Pre-requisite MAT-7122) |
03+0 |
MAT-7218 |
Finite Mixture Distributions-II (Pre-requisite MAT-7123) |
03+0 |
MAT-7221 |
Fuzzy Analysis |
03+0 |
MAT-7222 |
Fractional Differential Equations |
03+0 |
MAT-7223 |
Advances in Discrete Mathematics and Applications |
03+0 |
MAT-7224 |
Strict Convexity |
03+0 |
MAT-7225 |
Impulsive Differential Equations |
03+0 |
MAT-7226 |
Advanced Fluid Dynamics |
03+0 |
MAT-7227 |
Computer Aided Geometric Design- II |
03+0 |
MAT-7228 |
Advanced Analytical Methods |
03+0 |
MAT-7229 |
Basics of Heat and Mass Transfer |
03+0 |
MAT-7230 |
Elastodynamics |
03+0 |
MAT-7231 |
Convex Analysis |
03+0 |
MAT-7232 |
Mathematical Analysis |
03+0 |
MAT-7233 |
Computer Graphics |
03+0 |
MAT-7234 |
Advanced Algebra |
03+0 |
MAT-7235 |
Lie Group Analysis of Difference Equations |
03+0 |
MAT-7236 |
Analysis of Several Complex Variables |
03+0 |
MAT-7237 |
Calculus of Finite Differences |
03+0 |