Department of Mathematics & Statistics

Introduction

The Department of Mathematics and Statistics started functioning in 2011. It started its M.Sc. (Mathematics) and M.Phil. (Mathematics) programs in 2011 and 2013 respectively. In accordance with the policy of the Government of Pakistan to start B.S. programs at universities, the department started its B.S. (Mathematics) program in 2013. In this way, the department is successfully running the academic programs namely M.Sc., B.S. (4-years) and M.S./M.Phil. The department is imparting instructions in the following three major areas of Mathematics.

  1. Pure Mathematics
  2. Applied Mathematics
  3. Computational Mathematics

The department has twenty nine members on its faculty, out of whom eight are Ph.D. degree holders while the remaining has M.Phil. degrees. The Department has all time access to well-equipped and well-furnished computer laboratory. This lab is providing computational facilities to our students and teachers. The department is availing the facility of central library of the institution having more than 7000 books. The collection includes latest titles in various areas of Mathematics. The department is also availing the facility of research rooms and HEC digital library. The faculty and research students of the department are engaged in research activities in the areas of Algebra, Differential equations, Numerical Analysis, Topology, Graph Theory, Fluid Mechanics, Mathematical Inequalities and Partial Differential Equations.

Vision Statement of the Department

To be among the best Mathematics and Statistics departments in the country and to establish a reputation as a department widely recognized for its good quality teaching and research.

Mission Statement of the Department

The mission of the department is to provide quality teaching and good research environment to its students by establishing effective undergraduate and graduate programs which can produce trained manpower capable of contributing to the advancement of knowledge and improvement of socio-economic conditions at national and international level.

Brief Introduction of the Chairperson

Dr. Muhammad Anwar Chaudhry, now working as Professor of Mathematics and Chairperson of the Department of Mathematics and Statistics, Institute of Southern Punjab, Multan,  obtained his Bachelor and M.Sc. (Mathematics) degrees in 1967 and 1969, respectively, from Punjab University, Lahore. Then he served Department of Mathematics, Punjab University for 2½ years and Govt. College, Lahore for six months as lecturer.

In 1973, Dr. Chaudhry proceeded to Japan for higher studies. After obtaining Doctor of Science (Mathematics) degree in 1977, he joined Department of Mathematics, BZU Multan as Assistant Professor. During 1977 – 2006 he served BZU as Associate Professor, Professor, Chairman Math. Department and Director, Center for Advanced Studies in Pure and Applied Mathematics (CASPAM). Dr. Chaudhry also served King Fahd University of Petroleum and Minerals, Dhahran Saudi Arabia as Associate Professor for 12 Years.

Dr. Chaudhry has vast teaching, research and administrative experience spanned over 46 years. He has produced 5 PhD and nearly 35 M. Phil students. His research interests are Algebra (Algebras based on logic, Ring theory, Category theory) Ordered structures and Functional Analysis. He has published nearly ninety research papers in International/National Journals.

Programs Offered

Degree Title Duration Entry Requirement
BS Math Bachelor of Science In Mathematics 4 Years Intermediate or equivalent with at least 2nd division
MSc Math Master of Science in Mathematics 2 Years Graduation Or equivalent with at least 2nd division
BS Statistics Bachelor of Science In Statistics 4 Years Intermediate or equivalent with at least 2nd division
MSc Statistics Master of Science in Statistics 2 Years Graduation Or equivalent with at least 2nd division
M. Phil Math M. Phil Mathematics 2 Years Entry Requirement: 16 Years relevant education / level 6, from HEC recognize institute (Passed the previous degree with a cumulative GPA score of 2.5/4.0 (under a semester system) or a second class Master’s degree (earned under annual system))
GAT General (Category C) with at least 50 % score

 

BS Program

  • Entrance requirements: Higher secondary school certificate with Mathematics or Equivalent
  • Duration of the program: 4 years (8 semesters)
  • Total credit hours: 135 credit hours (15-18 credit hours per semester)

Scheme of Studies for BS Mathematics Program

Semester

Credit Hours

Semester-I

15

Semester-II

18

Semester-III

18

Semester-IV

18

Semester-V

15

Semester-VI

18

Semester-VII

18

Semester-VIII

15

Total

135

 

Domain-Wise Breakup

Domain

Numbers of courses

Number of credits hours

Compulsory Courses

9

27

General Courses

8

24

Foundation Courses

11

33

Major Courses

13

39

Elective Courses within the Major

4

12

Total

45

135

 

List of Courses for BS Mathematics

COMPULSORY COURSES

Sr. No.

Title

Code

Credit Hours

1

English I (Functional English)

MATH-101

3 + 0

2

English II (Composition-I)

MATH-102

3 + 0

3

English III (Communication Skills for Mathematicians)

MATH-201

3 + 0

4

Foreign Language

MATH-203

3 + 0

5

Pakistan Studies

MATH-103

3+ 0

6

Islamic Studies

MATH-104

3+ 0

7

Introduction to Computers

MATH-105

3+0

8

Elements of set Theory &

Mathematical Logic

MATH-110

3+ 0

9

Discrete Structures

MATH-206

3+ 0

Total Number of Credit Hours

27

 

GENERAL COURSES

Sr. No.

Title

Code

Credit Hours

 

1

Physics-I(Mechanics)

MATH-107

3 + 0

 

2

Physics-II(Electricity & Magnetism)

MATH-108

3+ 0

 

3

Modern Physics & Electronics

MATH-207

3 + 0

 

4

Waves, Optics & Thermodynamics

MATH-208

3 + 0

 

5

Computer Programming

MATH-106

3 + 0

 

6

Human Psychology

MATH-202

3 + 0

 

7

Mathematical Statistics-I

MATH-204

3 + 0

 

8

Computer tools for Mathematics

MATH-205

3 + 0

 

Total Number of Credit Hours

24

 

FOUNDATION COURSES

Sr. No.

Title

Code

Credit Hours

1

Calculus I

MATH -109

3 + 0

2

Calculus II

MATH -112

3 + 0

3

Elements of Differential Equations

MATH- 208

3 + 0

4

Calculus III

MATH- 209

3 + 0

5

Introduction to Linear Algebra

MATH- 210

3 + 0

6

Modern Algebra I

MATH- 303

3 + 0

7

Modern Algebra II

MATH- 304

3 + 0

8

Complex Analysis

MATH- 305

3 + 0

9

Ordinary Differential Equations

MATH -307

3 + 0

10

Vector and Tensor Analysis

MATH- 309

3 + 0

11

Integral Equations

MATH- 402

3 + 0

Total Number of Credit Hours

33

 

MAJOR COURSES

Sr. No.

Title

Code

Credit Hours

1

Number Theory

MATH-211

3 + 0

2

Real Analysis-I

MATH-301

3 + 0

3

Real Analysis-II

MATH-302

3 + 0

4

Set Topology

MATH-306

3 + 0

5

Classical Mechanics

MATH-308

3 + 0

6

Partial Differential Equations

MATH-310

3 + 0

7

Differential Geometry

MATH-312

3 + 0

8

Functional Analysis I

MATH-401

3 + 0

9

Numerical Analysis-I

MATH-403

3 + 0

10

Numerical Analysis-II

MATH-404

3 + 0

11

Probability Theory

MATH-405

3 + 0

12

Mathematical Statistics-II

MATH-406

3 + 0

13

Mathematical Methods-I

MATH-407

3 + 0

Total Number of Credit Hours

39

 

List of Mathematics Elective Courses (Optional):

ELECTIVE COURSES

Four elective courses are to be taken from one of the following three categories of elective courses.

Pure Mathematics Electives:

S. No.

Title of Course

Course Code

Credit Hours

1

Advanced Group Theory

MATH-421

3

2

Ring & Modules

MATH-422

3

3

Measure Theory-I

MATH-423

3

4

Measure Theory-II

MATH-424

3

5

Functional Analysis II

MATH-426

3

 

Applied Mathematics Electives:

S. No.

Title of Course

Course Code

Credit Hours

1

Fluid Mechanics-I

MATH-441

3

2

Fluid Mechanics-II

MATH-442

3

3

Solid Mechanics

MATH-443

3

4

Mathematical Methods-II

MATH-444

3

5

Optimization Theory

MATH-445

3

6

Modeling & Simulation

MATH-446

3

 

Computational Mathematics Electives:

S. No.

Title of Course

Course Code

Credit Hours

1

Optimization Theory

MATH-445

3

2

Modeling & Simulation

MATH-446

3

3

Theory of Approximation and Splines-I

MATH-461

3

4

Theories of Approximation and Splines-II

MATH-462

3

5

Numerical Solution of ODE

MATH-463

3

 

NOTE: More elective courses in all the above mentioned three areas may be added subject to the approval of competent authority and availability of relevant faculty.

 

Semester-Wise Breakup

1st Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-101

English I (Functional English)

3

100

MATH-103

Pakistan studies

3

100

MATH-105

Introduction to Computers

3

100

MATH-107

Physics-I (Mechanics)

3

100

MATH-109

 Calculus-I

3

100

Total

15

500

 

2nd Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-102

English II (Composition-I)

3

100

MATH-104

Islamic studies

3

100

MATH-106

Computer Programming

3

100

MATH-108

Physics-II (Electricity & Magnetism)

3

100

MATH-110

Calculus-II

3

100

MATH-112

Elements of Set Theory & Mathematical Logic

3

100

Total

18

600

 

3rd Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-201

English III (Communication Skills for Mathematicians)

3

100

MATH-203

Foreign Language *

3

100

MATH-205

Computer Tools for Mathematics

3

100

MATH-207

Modern Physics and Electronics

3

100

MATH-209

 Calculus-III

3

100

MATH-211

Number Theory

3

100

Total

18

600

*Arabic or Chinese or French or German or Turkish or Persian, (Subject to the availability of the Faculty).

 

4th Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-202

Human Psychology

3

100

MATH-204

Mathematical Statistics-I

3

100

MATH-206

Discrete Structures

3

100

MATH-208

Waves,Optics and Thermodynamics

3

100

MATH-210

Elements of Differential Equations

3

100

MATH-212

Introduction to Linear Algebra

3

100

Total

18

600

 

5th Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-301

Real Analysis-I

3

100

MATH-303

Modern Algebra-I

3

100

MATH-305

Complex Analysis

3

100

MATH-307

Ordinary Differential Equations(ODE)

3

100

MATH-309

Vector and Tensor Analysis

3

100

Total

15

500

 

 

6th Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-302

Real Analysis-II

3

100

MATH-304

Modern Algebra-II

3

100

MATH-306

Set Topology

3

100

MATH-308

Classical Mechanics

3

100

MATH-310

Partial Differential Equation(PDE)

3

100

MATH-312

Differential Geometry

3

100

Total

18

600

 

7th Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-401

Functional Analysis I

3

100

MATH-403

Numerical Analysis-I

3

100

MATH-405

Probability Theory

3

100

MATH-407

Mathematical Methods-I

3

100

MATH-4xx

Elective-I

3

100

MATH-4xx

Elective-II

3

100

Total

18

600

 

8th Semester

Course Code

Title of Course

Credit Hours

Marks

MATH-402

Integral Equations

3

100

MATH-404

Numerical Analysis-II

3

100

MATH-406

Mathematical Statistics-II

3

100

MATH-4xx

Elective-III

3

100

MATH-4xx

Elective-IV

3

100

Total

15

500

 

MSc Program

  • Entrance requirements: B.A. (with Mathematics A course/B Course) or B.Sc. (with Mathematics) or Equivalent
  • Duration of the program: 2 years
  • Total credit hours: 69 credit hours (15-18 credit hours per semester)

 

Scheme of Studies for M.Sc. Mathematics Program

Semester

Credit Hours

Semester-I

15

Semester-II

18

Semester-III

18

Semester-IV

18

Total

69

 

Domain-Wise Breakup

Domain

Numbers of courses

Number of credits hours

General Courses

1

3

Foundation Courses

6

18

Major Courses

12

36

Elective Courses

4

12

Total

23

69

 

Semester-Wise Breakup

1st Semester

Course Code

Title of Course

Credit Hours

MATH-301

Real Analysis-I

3

MATH-303

Modern Algebra-I

3

MATH-305

Complex Analysis

3

MATH-307

Ordinary Differential Equations(ODE)

3

MATH-309

Vector and Tensor Analysis

3

Total

15

 

2ndSemester

Course Code

Title of Course

Credit Hours

MATH-302

Real Analysis-II

3

MATH-304

Modern Algebra-II

3

MATH-306

Set Topology

3

MATH-308

Classical Mechanics

3

MATH-310

Partial Differential Equation(PDE)

3

MATH-312

Differential Geometry

3

Total

18

 

3rdSemester

Course Code

Title of Course

Credit Hours

MATH-401

Functional Analysis-I

3

MATH-403

Numerical Analysis-I

3

MATH-405

Probability Theory

3

MATH-407

Mathematical Methods-I

3

MATH-4xx

Elective-I

3

MATH-4xx

Elective-II

3

Total

18

 

4thSemester

Course Code

Title of Course

Credit Hours

MATH-402

Integral Equations

3

MATH-404

Numerical Analysis-II

3

MATH-406

Mathematical Statistics

3

MATH-408

Computer Tools For Mathematics

3

MATH-4xx

Elective-III

3

MATH-4xx

Elective-IV

3

Total

18

 

List of elective courses

Following is the complete list of Elective Courses for M.Sc. Program. Each course is of 3 credit hours.

(a) GENERAL COURSES

Sr. No.

Title

Code

Credit Hours

1

Computer tools for Mathematics

MATH-408

3

Total Number of Credit Hours

3

 

(b) FOUNDATION COURSES

Sr. No.

Title

Code

Credit Hours

1

Modern Algebra-I

MATH- 303

3 + 0

2

Modern Algebra-II

MATH- 304

3 + 0

3

Complex Analysis

MATH- 305

3 + 0

4

Ordinary Differential Equations

MATH -307

3 + 0

5

Vector and Tensor Analysis

MATH- 309

3 + 0

6

Integral Equations

MATH- 402

3 + 0

Total Number of Credit Hours

18

 

(c) MAJOR COURSES

Sr. No.

Title

Code

Credit Hours

1

Real Analysis-I

MATH-301

3 + 0

2

Real Analysis-II

MATH-302

3 + 0

3

Set Topology

MATH-306

3 + 0

4

Classical Mechanics

MATH-308

3 + 0

5

Partial Differential Equations

MATH-310

3 + 0

6

Differential Geometry

MATH-312

3 + 0

7

Functional Analysis-I

MATH-401

3 + 0

8

Numerical Analysis-I

MATH-403

3 + 0

9

Numerical Analysis-II

MATH-404

3 + 0

10

Probability Theory

MATH-405

3 + 0

11

Mathematical Statistics

MATH-406

3 + 0

12

Mathematical Methods-I

MATH-407

3 + 0

Total Number of Credit Hours

36

 

ELECTIVE COURSES

Four elective courses are to be taken from one of the following three categories of elective courses.

(i) Pure Mathematics Electives:

S. No.

Title of Course

Course Code

Credit Hours

1

Advanced Group Theory

MATH-421

3

2

Ring & Modules

MATH-422

3

3

Measure Theory-I

MATH-423

3

4

Measure Theory-II

MATH-424

3

5

Functional Analysis II

MATH-426

3

 

(ii) Applied Mathematics Electives:

S. No.

Title of Course

Course Code

Credit Hours

1

Fluid Mechanics-I

MATH-441

3

2

Fluid Mechanics-II

MATH-442

3

3

Solid Mechanics

MATH-443

3

4

Mathematical Methods-II

MATH-444

3

5

Optimization Theory

MATH-445

3

6

Modeling & Simulation

MATH-446

3

 

(iii) Computational Mathematics Electives:

S. No.

Title of Course

Course Code

Credit Hours

1

Optimization Theory

MATH-445

3

2

Modeling & Simulation

MATH-446

3

3

Theory of Approximation and Splines-I

MATH-461

3

4

Theories of Approximation and Splines-II

MATH-462

3

5

Numerical Solution of ODE

MATH-463

3

Note: The course offering will be made by the Department subject to availability of the relevant faculty. The curriculum designed for MSC program is consistent and meets the program objectives in the following way. A wide variety of elective courses is present in the curriculum to enhance functional knowledge of scholars in the area of his/her interest.

 

M.Phil. Program

  • Entrance requirements: BS/MSc Mathematics & GAT General (Physical Sciences)
  • Duration of the program: 2 years
  • Total credit hours: 30 credit hours
  • Elective courses: 8 courses (24 credit hours)
  • Thesis/ dissertation: 6 credit hours
    • OR
  • Two more elective courses (of 3 credit hours each)

Scheme of Studies for M.Phil. Mathematics Program

Semester

Credit Hours

Semester-I

12

Semester-II

12

Semester-III

03 (Thesis Or Course work)

Semester-IV

03 (Thesis Or Course work)

Total

30

 

First Semester

Course Code

  Title of Course

Credit Hours

MATH xxx

Elective I

3

MATH xxx

Elective II

3

MATH xxx

Elective III

3

MATH xxx

Elective IV

3

Total

12

 

Second Semester

Course Code

Title of Course

Credit Hours

MATH xxx

Elective V

3

MATH xxx

Elective VI

3

MATH xxx

Elective VII

3

MATH xxx

Elective VIII

3

Total                                                                 

12

Third Semester

Course Code

Title

Credit Hours

MATH xxx

Thesis (continued)

--

 

Fourth Semester

Course Code

Title

Credit Hours

MATH xxx

Thesis

6

Total

30

 

List of elective courses
Following is the complete list of Elective Courses for M. Phil. Program. Each course is of 3 credit hours.

Title of the Course

Course Code

Credit Hours

Research Methodology

MATH-501

3

Linear Algebra

MATH-502

3

Advanced Numerical Analysis

MATH-503

3

Advanced Functional Analysis

MATH-504

3

Fixed Point Theory

MATH-505

3

Approximation Theory

MATH-506

3

Convex Analysis

MATH-507

3

Strict Convexity

MATH-508

3

Fixed Point Iterations

MATH-509

3

Special Functions

MATH-510

3

Mathematical Inequalities

MATH-511

3

Ostrowski Type Inequalities and Their Applications

MATH-512

3

Near Rings I

MATH-513

3

Near Rings II (Special Classes)

MATH-514

3

Theory of Rings I

MATH-515

3

Algebraic Topology I

MATH-516

3

Computer Aided Geometric Design-I

MATH-517

3

Computer Aided Geometric Design-II

MATH-518

3

Computer Graphics

MATH-519

3

Linear Programming

MATH-520

3

Non Linear Programming

MATH-521

3

Graph Theory

MATH-522

3

Fourier Series I

MATH-523

3

Fourier Series II

MATH-524

3

Advanced Partial Differential Equations

MATH-525

3

Numerical Solution of Partial Differential Equations

MATH-526

3

Non-Linear Ordinary Differential Equations I

MATH-527

3

Non-Linear Ordinary Differential Equations II

MATH-528

3

Introduction to Wavelets

MATH-529

3

Wave Propagation

MATH-530

3

Perturbation Analysis

MATH-531

3

Basics of Theory of Fluids

MATH-532

3

Heat Transfer Analysis

MATH-533

3

Advanced Fluid Dynamics-I

MATH-534

3

Advanced Fluid Dynamics-II

MATH-535

3

Compressible Flows

MATH-536

3

Magneto- Hydrodynamics

MATH-537

3

Classical Electrodynamics I

MATH-538

3

Classical Electrodynamics II

MATH-539

3

Advanced Electromagnetic Theory I

MATH-540

3

Advanced Electromagnetic Theory II

MATH-541

3

Computational Fluid Dynamics for Laminar Flows

MATH-542

3

Parallel Scientific Computing

MATH-543

3

Theory of B- Splines

MATH-544

3

Commutative Algebra

MATH-545

3

Advanced Topology I

MATH-546

3

Advanced Topology II

MATH-547

3

Note: Every student will have to opt four courses in each semester (1st& 2nd). After successful completion of course work offered in 1st and 2nd semesters, students will write down his dissertation in 3rd& 4th semesters or will opt for two more courses (one in 3rd semester and one in 4th semester).

Faculty of the Department

The faculty details along with their photographs are given below:

Sr. No.

Teacher Name

Qualification

Designation

 

1

Porf. Dr. Muhammad Anwar Ch.

D.Sc.

Professor

 

2

Prof. Dr. Bashir Ahmed

Ph.D.

Professor

 

3

Dr. Zaffar Mahmood

Ph.D.

Professor

 

4

Dr. Ayyaz Ali

Ph.D.

Asst. Professor

 

5

Dr. Moin-Ud -Din Janjua

Ph.D.

Asst. Professor

 

6

Dr. Jawad Raza

Ph.D.

Asst. Professor

 

7

Dr. Shah Jahan

Ph.D.

Asst. Professor

 

8

Dr. Athar Qayyum

Ph.D.

Asst. Professor

 

9

Ms. Rabia Saleem

M.Phil.

Lecturer

 

10

Ms. Hina Bashir

M.Phil.

Lecturer

 

11

Ms. Afshan Ahsan

M.Phil.

Lecturer

 

12

Ms. Iram Ghaffar

M.Phil.

Lecturer

 

13

Ms. Farhana Khadim

M.Phil.

Lecturer

 

14

Ms. Shazia Altaf

M.Phil.

Lecturer

 

15

Mr. Muhammad Hassan

M.Phil.

Lecturer

 

16

Ms. Azra Aziz

M.Phil.

Lecturer

 

17

Ms. Shanza Awan

M.Phil.

Lecturer

 

18

Ms. Hafiza Fozia Sadaf

M.Phil.

Lecturer

 

19

Mr. M.Shahid Shahzad

M.Phil.

Lecturer

 

20

Ms. Huma Gul

M.Phil.

Lecturer

 

21

Mr. Atif Moeen

M.Phil.

Lecturer

 

22

Ms. Bisma Imran

M.Phil.

Lecturer

 

23

Ms. Maria Batool

M.Phil.

Lecturer

 

24

Mr. Ghazanfar Abbas

M.Phil.

Lecturer

 

25

Mr. Shahzad Khan

M.Phil.

Lecturer

 

26

Ms. Aqsa Shah

M.Phil.

Lecturer

 

27

Ms. Sana Sultana

M.Phil.

Lecturer

 

28

Mr. Muhammad Zahid

M.Phil.

Lecturer

 

29

Mr. Hamayoun Farooq

M.Phil.

Lecturer

 

Further, many Ph.D./M.Phil. Degree holders are working as visiting faculty.