University of Kotli Azad Jammu and Kashmir

Dr. Khizar Hayat

HOD | Assistant Professor, Mathematics

E-mail: khizarhayat@uokajk.edu.pk Phone:

INTRODUCTION

Mathematics embodies the spirit of the liberal arts: mathematics is an art, a pure science, a language and an analytical tool for the natural and social sciences, a means of exploring philosophical questions, and a beautiful edifice that is a tribute to human creativity. The Department of Mathematics will offer its programs in modern classrooms and computer laboratories at University of Kotli Azad Jammu & Kashmir.

BS Mathematics
MSc Mathematics
M.Phil Mathematics
PhD Mathematics

BS Mathematics

B.S. Mathematics Semester 1^st

MAT-3101	Calculus-I	(3+0) cr.
ENG-3102	English-I	(3+0) cr.
COM-3103	Basics of Programming	(2+1) cr.
MAT-3104	Elementary Set Theory and Logics	(3+0) cr.
ISL-3105	Islamic Studies	(2+0) cr.
ARB-3106	Arabic	(3+0) cr.
	Total Credit Hours	(16+1) =17 cr.

B.S. Mathematics Semester 2^nd

MAT-3201	Calculus-II	(3+0) cr.
ENG-3202	English-II	(3+0) cr.
MAT-3203	Mechanics-I	(3+0) cr.
MAT-3204	Discrete Mathematics	(3+0) cr.
PST-3205	Pakistan Studies	(2+0) cr.
-------------	One Optional	(2+1) cr.
	Total Credit Hours	(16+1) =17 cr.

One Optional in Semester 2^nd

SOC-3206	Introduction to Sociology	(2+1) cr.
PSY-3207	Introduction to Psychology	(2+1) cr.

B.S. Mathematics Semester 3^rd

MAT-4301	Calculus-III	(3+0) cr.
ENG-4302	English-III	(3+0) cr.
MAT-4303	Mechanics-II	(3+0) cr.
MAT-4304	Elementary Differential Equations	(3+0) cr.
COM-4305	Programming Language C+ +/Python	(3+1) cr.
PHY-4306	Waves & Oscillation	(3+0) cr.
	Total Credit Hours	(18+1) =19 cr.

B.S. Mathematics Semester 4^th

MAT-4401	Elementary Linear Algebra	(3+0) cr.
COM-4402	Computing Tools for Mathematicians	(3+0) cr.
MAT-4403	Elementary Number Theory and Combinatorics	(3+0) cr.
MAT-4404	Elementary Statistics	(3+0) cr.
PHY-4405	Electricity and Magnetism	(3+0) cr.
-------------	One Optional	(3+0) cr.
	Total Credit Hours	(18+0) =18 cr.

One Optional in Semester 4^th

ECO-4406	Mathematical Economics	(3+0) cr.
ORG-4407	Organizational Behavior	(3+0) cr.
KAS-4408	Kashmir Studies	(3+0) cr.

B.S. Mathematics Semester 5^th

MAT-5501	Group Theory	(3+0) cr.
MAT-5502	Linear Algebra	(3+0) cr.
MAT-5503	Topology	(3+0) cr.
MAT-5504	Ordinary Differential Equations	(3+0) cr.
MAT-5505	Real Analysis-I	(3+0) cr.
		Total: (15+0) cr.

B.S. Mathematics Semester 6^th

MAT-5601	Real Analysis II	(3+0) cr.
MAT-5602	Complex Analysis	(3+0) cr.
MAT-5603	Functional Analysis I	(3+0) cr.
MAT-5604	Differential Geometry	(3+0) cr.
MAT-5605	Partial Differential Equations	(3+0) cr.
		Total: (15+0) cr.

B.S. Mathematics Semester 7^th

MAT-6701	Classical Mechanics	(3+0) cr.
MAT-6702	Numerical Analysis-I	(3+0) cr.
MAT-69--	Elective–I	(3+0) cr.
MAT-69--	Elective–II	(3+0) cr.
MAT-69--	Elective-III	(3+0) cr.
MAT-6703	Reading and Conference	(1+0) cr.
		Total: (16+0) cr.

B.S. Mathematics Semester 8^th

MAT-69--	Elective–IV	(3+0) cr.
MAT-69--	Elective-V	(3+0) cr.
MAT-69--	Elective-VI	(3+0) cr.
MAT-69--	Elective-VII	(3+0) cr.
MAT-69--	Elective-VIII	(3+0) cr.
		Total: (15+0 ) cr.

	List of Elective Courses for BS
Course Code	Title of the Course	Credit hrs
MAT-6901	Measure Theory	(3+0) cr.
MAT-6902	Ring Theory and Fields	(3+0) cr.
MAT-6903	Quantum Mechanics	(3+0) cr.
MAT-6904	Fluid Mechanics I	(3+0) cr.
MAT-6905	Electrodynamics	(3+0) cr.
MAT-6906	Special Theory of Relativity	(3+0) cr.
MAT-6907	Integral Equations	(3+0) cr.
MAT-6908	Functional Analysis II	(3+0) cr.
MAT-6909	Topology II	(3+0) cr.
MAT-6910	Numerical Analysis II	(3+0) cr.
MAT-6911	Differential Geometry II	(3+0) cr.
MAT-6912	Fluid Mechanics II	(3+0) cr.
MAT-6913	Riemannian Geometry	(3+0) cr.
MAT-6914	Mathematical Statistics	(3+0) cr.
MAT-6915	Methods of Mathematical Physics	(3+0) cr.
MAT-6916	Analytical Dynamics	(3+0) cr.
MAT-6917	Theory of Elasticity	(3+0) cr.
MAT-6918	Theory of Manifolds	(3+0) cr.
MAT-6919	Algebraic Topology	(3+0) cr.
MAT-6920	Theory of Group Actions	(3+0) cr.
MAT-6921	Theory of Modules	(3+0) cr.
MAT-6922	Calculus of Variations	(3+0) cr.
MAT-6923	Dynamical Systems	(3+0) cr.
MAT-6924	Actuarial Mathematics	(3+0) cr.
MAT-6925	Modeling and Simulation	(3+0) cr.
MAT-6926	Operations Research	(3+0) cr.
MAT-6927	Fields	(3+0) cr.
MAT-6928	Special Functions	(3+0) cr.

M.Phil/PHD Mathematics

The Structure and Layout of M.Phil Program

S. No	Category	No.	Credit Hours
1	Duration	4-8 Semesters	30
2	Courses	08	24
3	Thesis	01	06
4	Reading/Conference/Seminar	01	Non-credit

Semester-I

#	Course Title	Cr. Hr
01	Core Course-I	03
02	Core Course-II	03
03	Elective Course-I	03
04	Elective Course-II	03
Total Cr. Hr		12

Semester-II

#	Course Title	Cr. Hr
01	Core Course-III	03
02	Core Course-IV	03
03	Elective Course-III	03
04	Elective Course-IV	03
Total Cr. Hr		12

Semester-III/IV

Title

Cr. Hr

Thesis

Reading /Conference/Seminar

Non-Credit

The Structure and Layout of Ph. D Mathematics Degree Program

S. No	Category	No.	Credit Hours
1	Duration	6-16 Semesters	42
2	Courses	06	18
3	Thesis	01	24
4	Reading/Conference/Seminar	02	Non-credit

Semester-I

#	Course Title	Cr. Hr
01	Core Course-I	03
02	Elective Course-I	03
03	Elective Course-II	03

Semester-II

#	Course Title	Cr. Hr
01	Core Course-II	03
02	Elective Course-III	03
03	Elective Course-IV	03

Semester III-VI

Title	Cr.Hr.
Thesis	24
Reading /Conference/Seminar

List of Core Courses for M.Phil/PHD Mathematics Degree Program

List of Core Courses for M.Phil/PHD Mathematics

Course Code Course Title Cr. Hrs

MAT-7101 Numerical Solution of ODE 03

MAT-7102 Advanced Partial Differential Equations. 03

MAT-7103 Advanced Linear Algebra 03

MAT-7104 Advanced Algebra 03

MAT-7105 Advanced Functional Analysis-I 03

MAT-7106 Perturbation Methods 03

MAT-7107 Advanced Mathematical Analysis 03

MAT-7108 Mathematical Techniques for Boundary Value Problems 03

MAT-7109 Advanced Semigroup Theory 03

List of Elective Courses for M. Phil/PHD Mathematics Degree Program

	List of Elective Courses for M.Phil/PHD Mathematics
Course Code	Course Title	Cr. Hrs
MAT-7110	Theory of Group Graphs	03
MAT-7111	Fixed Point Theory	03
MAT-7112	Theory of Semi Rings	03
MAT-7113	Advanced Measure Theory-I	03
MAT-7114	Advanced Topology-I	03
MAT-7115	Lie Algebras	03
MAT-7116	Topological Groups	03
MAT-7117	Topological Vector Spaces	03
MAT-7118	Theory of Group Actions	03
MAT-7119	Theory of Complex Manifolds	03
MAT-7120	Approximation Theory	03
MAT-7121	Magneto-hydrodynamics-I	03
MAT-7122	Electrodynamics-I	03
MAT-7123	Advanced Analytical Dynamics-I	03
MAT-7124	Lattice Theory	03
MAT-7125	Fuzzy Algebra	03
MAT-7126	Advanced General Relativity	03
MAT-7127	Advanced Astrophysics	03
MAT-7128	The Classical Theory of Fields	03
MAT-7129	Basics of the Theory of Fluids	03
MAT-7130	Sampling Techniques-I	03
MAT-7131	Multivariate Analysis-I	03
MAT-7132	Finite Mixture Distributions-I	03
MAT-7133	Computer Aided Geometric Design- I	03
MAT-7134	Advanced Numerical Analysis	03
MAT-7135	Advanced Complex Analysis	03
MAT-7136	Advance Functional Analysis-II	03
MAT-7137	Advance Measure Theory-II	03
MAT-7138	Advanced Topology-II	03
MAT-7139	Banach Algebras	03
MAT-7140	Lie Groups	03
MAT-7141	C* -Algebras	03
MAT-7142	Topological Algebras	03
MAT-7143	Advanced Integral Equations	03
MAT-7144	Magneto-hydrodynamics-II	03
MAT-7145	Electrodynamics-II	03
MAT-7146	Advanced Analytical Dynamics-II	03
MAT-7147	Cosmology-I	03
MAT-7148	Non-Newtonian Fluid Mechanics	03
MAT-7149	Group Methods for Differential Equations	03
MAT-7150	Sampling Techniques-II	03
MAT-7151	Multivariate Analysis- II	03
MAT-7152	Finite Mixture Distributions-II	03
MAT-7153	Advanced Fuzzy Analysis	03
MAT-7154	Fractional Differential Equations	03
MAT-7155	Advances in Discrete Mathematics and Applications	03
MAT-7156	Strict Convexity	03
MAT-7157	Impulsive Differential Equations	03
MAT-7158	Advanced Fluid Dynamics	03
MAT-7159	Computer Aided Geometric Design-II	03
MAT-7160	Basics of Heat and Mass Transfer	03
MAT-7161	Elastodynamics-I	03
MAT-7162	Convex Analysis	03
MAT-7163	Computer Graphics	03
MAT-7164	Lie Group Analysis of Difference Equations	03
MAT-7165	Analysis of Several Complex Variables	03
MAT-7166	Calculus of Finite Differences	03
MAT-7167	Advanced Solid Mechanics	03
MAT-7168	Cell Mechanics	03
MAT-7169	Elastic Wave Propagation in Structures	03
MAT-7170	Fracture Mechanics	03
MAT-7171	The Continuum Mechanics	03
MAT-7172	Fundamentals of Turbulence	03
MAT-7173	Modeling and Simulation	03
MAT-7174	Bifurcation and Chaos	03
MAT-7175	Biomathematics	03
MAT-7176	Elastodynamics -II	03
MAT-7177	Cosmology-II	03
MAT-7178	Quantum Field Theory	03
MAT-7179	Plasma Theory-I	03
MAT-7180	Plasma Theory-II	03
MAT-7181	Quantum Statistics	03
MAT-7182	Homological Algebra-I	03
MAT-7183	Homological Algebra-II	03
MAT-7184	Commutative Algebra-I	03
MAT-7185	Commutative Algebra-II	03
MAT-7186	Algebraic Coding Theory	03
MAT-7187	BCK Algebra	03
MAT-7188	BCI Algebra	03
MAT-7189	Introduction to Fuzzy Systems	03
MAT-7190	Fuzzy Graph Theory	03
MAT-7191	Introduction to Fourier and Walvet Analysis	03
MAT-7192	Fourier Transform and Disruptions	03
MAT-7193	Theory of Function Spaces	03
MAT-7194	Singular Integrals and Related Topics	03
MAT-7195	Graph Theory	03
MAT-7196	Rough Set Theory	03
MAT-7197	M.Phil Thesis	06

Phone: +92-5826-960054

DEPARTMENT OF MATHEMATICS

Dr. Khizar Hayat

INTRODUCTION

Faculty

Dr. Aman -ullah Dar

Dr. Muhammad Ahsan Khan

Dr. Naqash Sarfaraz Abbasi

Sardar Sajjad Ahmed

Mr. Mir Zaman

Mr. Muhammad Fahim Aslam

Ms. Saima Masood

Mr. Imran Shabbir Chohan

Ms. Shahida Shahnawaz

Ms. Aysha Noreen

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