SBK Women's University

Department of Mathematics
Faculty of Basic Sciences

Department of Mathematics
Faculty of Basic Sciences

Department of Mathematics is one of the pioneer dept. of SBK women’s university Quetta that was established in 2004 with MSc. Program. Later on, BS program was launched in 2006. Now the running programs in Department is BS and M.Phil. The motto of the faculty is to provide high quality education to students with the assistance of well-qualified, dedicated and highly motivated faculty members. Our faculty’s research expertise includes all frontier areas in Mathematics. We impart the best teaching methodologies which prepare competent professionals able to independently apply knowledge to become a successful scientist.
Department of Mathematics at SBKWU is a vibrant department with outstanding and passionate academic members engaged in undergraduate, graduate, and research activities.
Vision
To be a premier institution in mathematics teaching and research, encouraging creativity and critical thinking and simultaneously contributing to the growth of mathematical knowledge and applications in a variety of sectors.
Mission
To offer a top-notch mathematics education, encourage scholarship and research, and equip students to become capable professionals and lifelong learners who can make significant contributions to society.
Objectives

The objectives of a Chemistry Department serve as specific goals that guide its academic, research, and community engagement activities. These objectives ensure that the department fulfills its vision and mission effectively.

  • Educational Excellence: Provide thorough, demanding mathematical curricula that satisfy the most exacting academic requirements.
  • Student Development: To provide exceptional education, conduct high-quality research, and produce graduates who take on leadership roles in their professions.
  • Research and Innovation: Promote and assist innovative studies in mathematics and related fields.
  • Community Engagement: Collaborate with other disciplines, educational institutions and industry to apply mathematical concepts to real-world problems.
  • Continuous Improvement: Assess and enhance the curriculum, instructional strategies, and research projects on a regular basis.
Core values
To promote mathematical knowledge and application, train future mathematicians and experts, and support societal intellectual and economic development. A key to our success has been our ability to recruit dynamic, award-winning faculty, thus ensuring that our promising research and educational programs will continue to grow in excellence with an infusion of new ideas and new energy. The team of faculty members along with the capable administration is committed to place the Department of Mathematics at the forefront of scientific innovation with high standards of excellence in teaching and research. The Faculty has been the pioneer in the production of a highly qualified working force in the country, producing the highest number of M.Phil. Scholars. It offers a variety of modern courses in BS, and M.Phil. Degrees in various branches of sciences. If anyone is thinking of pursuing a degree in science, it can be assured that many opportunities are awaiting in the future career. Technology and society will undergo many changes in our lifetime, but training in scientific thinking and in the fundamentals of science will continue to be important and relevant.
Graduates from the Chemistry Department have established themselves in diverse fields, making significant contributions to academia, research, and industry. Many have joined the department as faculty members, while others serve at the University of Balochistan, shaping the next generation of scientists. In the government and private sectors, they play vital roles in educational institutions, including schools, colleges, and the Balochistan Textbook Board, ensuring quality education and curriculum development. Their expertise extends to research institutions such as PCSIR, where they contribute to scientific advancements, as well as multinational companies like Merch, where they engage in innovative industrial research. Their presence across these sectors reflects the department’s commitment to producing skilled professionals who drive progress in science, education, and industry.
Chairperson’s Massage
It is a pleasure welcoming you in Department of Mathematics. The Department of Mathematics is proud of being the competent faculty among all other faculties in the institution and it is the premier center of education and research. The Department of Mathematics provides with 3 fields; Pure Mathematics, Applied Mathematics and Computational Mathematics and it focused on integrated areas of research and education. The rigorous undergraduate, graduate and post graduate programs emphasize broad subject competence and performance, opening new ideas of education to the young women.
We, in the Department, aim at to create a collegial and conducive environment for nurturing excellent researchers and scholars. My prayers go out to all the best future seekers intending to join our Department.
Degree programs offered

Scheme of Program Study (BS)

Total Credit Hours Total Semesters Duration Theory Practical Total Marks
120-144
8
4 Years
110
29
4600
First Semester

S.No

Course Code

Course Title

Domain

Credit Hours

1

MTH-600

Quantitative Reasoning I

G-1

3(3,0)

2

ECO-600

Basic Economics (Social Science)

G-2

2 (2,0)

3

MTH-621

Elements of Set Theory and Mathematical Logic

M-1

3(3,0)

4

PAK-600

Ideology and Constitution of Pakistan

G-3

2(2,0)

5

ENV-602

Introduction to Environmental Science (Natural Science)

G-4

3(3,0)

6

ENG-600

English l (Functional English)

G-5

3(3,0)

 

Total

 

 

16 Cr.h

S.No

Course Code

Course Title

Domain

Credit Hours

1.       

MTH-612

Calculus-I

M-2

3(3,0)

2.       

MTH-622

Discrete Mathematics

M-3

3(3,0)

3.   

ISL-601

Islamic Studies

G-6

2(2,0)

4.       

ENG-601

English-ll (Expository Writing)

G-7

3(3,0)

5.       

MTH-601

Quantitative Reasoning II

G-8

3(3,0)

6.       

XXX-xxx

Arts and Humanities

G-9

2(2,0)

 

Total

 

 

16 Cr.h

 

S.No

Course Code

Course Title

Domain

Credit Hours

1.       

MTH-623

Linear Algebra

M-4

3(3,0)

2.       

MTH-612

Calculus-II

M-5

3(3,0)

3.       

PHY-601

Physics-I

In-1

3(3,0)

4.       

CS -601

Applications of Information and Communication Technologies(ICT)

G-10

3(2,1)

5.       

XXX-xxx

Civics and Community Engagement

G-11

2(2,0)

6.       

MTH-626

Number Theory

M-6

3(3,0)

 

Total

 

 

 17 Cr.h

 

S.No

Course Code

Course Title

Domain

Credit Hours

1.       

MTH-614

Ordinary Differential Equations

M-7

3(3, 0)

2.       

CS-601

Programming Fundamentals/Physics II

In-2

3(2,1)/

3(3, 0)

3.       

MTH-624

Algebra-I

M-8

3(3, 0)

4.       

XXX-xxx

Entrepreneurship

G-12

2(2,0)

5.       

MTH-613

Calculus-III

M-9

3(3,0)

6.       

MTH-672

Probability Theory

In-3

3(3,0)

 

Total

 

 

17 Cr.h

S.NO

Course Code

Course Title

Domain

Credit Hours

1.       

MTH-651

Numerical Analysis I

M-10

3(3,0)

2.       

   MTH-674

Research Methodology

In-4

3(3,0)

3.       

MTH-632

Real Analysis-I

M-11

3(3,0)

4.       

MTH-625

Algebra-II

M-12

3(3,0)

5.       

MTH-615

Partial Differential Equations

M-13

3(3,0)

6.       

MTH-661

Classical Mechanics

Minor-1

3 (3,0)

 

Total

 

 

18 Cr.h

 

S.No

Course Code

Course Title

Domain

Credit Hours

1.       

MTH-641

Differential Geometry

M-14

3(3,0)

2.       

MTH-656

Numerical Analysis II

M-15

3(3,0)

3.       

MTH-634

Complex Analysis

M-16

3(3,0)

4.       

MTH-633

Real Analysis-II

M-17

3(3,0)

5.       

XXX-xxx

Modern Physics/EMT

Minor-2

3(3,0)

6.       

MTH-655

Programming Languages for Mathematicians

M-18

3 (2,1)

 

Total

 

 

18 Cr.h

 

S.NO

Course Code

Course Title

Domain

Credit Hours

1.       

   MTH-631

Topology

M-19

3(3,0)

2.       

MTH-654

Mathematical Modeling

      M-20

3(3,0)

3.       

MTH-652

Optimization Theory

M-21

3(3,0)

4.       

MTH-664/ MTH-667

Special Theory of Relativity/Quantum Mechanics

Minor-3

3(3,0)

5.       

MTH-675

Internship/ Field experience

3(3,0)

 

Total

 

 

15 Cr.h

 

Course code Course Name                                                                                  Theory Practical Credit Hours Total Marks
BCHM-434 Current trends Biochemistry 3 0 (3+0)3 100
BCHM-435 Methods In Molecular Biology 1  2 (1+2)3 100
  Elective-III 3 0 (3+0)3 100
  Elective-IV 3 0 (3+0)3 100
BCHM-499 Research Project/Internship 0 6 (0+6)6 200
Total 10 8 18 600
Scheme of Program Study

Scheme of studies (Bridging)

S.No. Domain Number of Courses Number of Credit Hours
1
Credit given for BSC./ADC Degree (two years
50
2
Bridging Semester
6
18
3
From 5th to 8th Semester after joining
20 + project
66
Total
134
Bridging semester

S.No

Course Code

Course Title

Credit Hours

1.       

PHY-101

Basic Physics

3(3,0)

2.       

CS-100

Introduction to Computers

3(3,0)

3.       

MTH-171

Basic Statistics

3(3,0)

4.       

MTH-223

Algebra-I

3(3,0)

5.       

MTH-122

Discrete Mathematics

3(3,0)

6.       

MTH-214

Ordinary Differential Equation

3(3,0)

 

 

 

18 hrs

 

Scheme of Program Study

Scheme of Program Study (MPhil)

Students of M.Phil. Program will be offered four courses in first semester and four courses in the second semester.
(1) Core Courses

S. No

Course Codes

Subjects Titles

Credit Hours

1.

MTH-701

Riemannian Geometry

3(3,0)

2.

MTH-702

Computational Linear Algebra

3(3,0)

3.

MTH-703

Advanced Partial Differential Equations

3(3,0)

4.

MTH-704

Advanced Integral Equations

3(3,0)

5.

MTH-705

Advanced Group Theory

3(3,0)

6.

MTH-706

Advanced Functional Analysis

3(3,0)

7.

MTH-707

Advanced Mathematical Physics

3(3,0)

8.

MTH-708

Advanced Research Methodology

3(3,0)

9.

MTH-709

Viscous Fluid I

3(3,0)

10.

MTH-710

Advanced Programming Language for Mathematicians

3(3,0)

11.

MTH-711

Numerical solution of Partial Differential equations I

3(3,0)

12.

MTH-712

Numerical solution of Partials Differential equation-II

3(3,0)

13.

MTH-713

Advanced Convex Analysis

3(3,0)

14.

MTH-714

Fixed point Theory

3(3,0)

15.

MTH-715

Advanced Optimization Theory

3(3,0)

16.

MTH-716

Advanced Numerical Analysis

3(3,0)

 

Optional Courses:

(a) Applied Mathematics

S. No

Course Codes

Subjects Titles

Credit Hours

1.

MTH-744

Theory of Spline Function-I

3(3,0)

2.

MTH-745

Theory of Spline Function-II

3(3,0)

3.

MTH-746

Theory of Spline Function-III

3(3,0)

4.

MTH-747

Approximation Theory and Applications

3(3,0)

5.

MTH-748

 

 

6.

MTH-749

Numerical Methods for Variational Inequalities

3(3,0)

7.

MTH-750

Computational Fluid Dynamics

3(3,0)

8.

MTH-751

Viscous Fluid II

3(3,0)

9.

MTH-752

Lattice Boltzmann Method and Engineering Applications

3(3,0)

10.

MTH-753

Spectral Methods in Fluid Dynamics

3(3,0)

11.

MTH-754

Lattice Theory

3(3,0)

12.

MTH-755

Linear Statistical Models

3(3,0)

13.

MTH-756

Advance Mathematical Methods

3(3,0)

 

S. No

Course Codes

Subjects Titles

Credit Hours

1.       

MTH-717

General Relativity-I

3(3,0)

2.       

MTH-718

General Relativity-II

3(3,0)

3.       

MTH-719

Cosmology

3(3,0)

4.       

MTH-720

Advanced Analytical Dynamics

3(3,0)

5.       

MTH-721

Classical Field Theory

3(3,0)

6.       

MTH-723

Electrodynamics-II

3(3,0)

7.       

MTH-724

Heat and Mass Transfer

3(3,0)

8.       

MTH-725

Plasma Physics

3(3,0)

9.       

MTH-726

Advanced Quantum Mechanics

3(3,0)

10.   

MTH-727

Elastodynamics

3(3,0)

11.   

MTH-728

Mathematical Modelling-I

3(3,0)

12.   

MTH-729

Mathematical Modelling-II

3(3,0)

13.   

MTH-730

Minimal Surfaces

3(3,0)

14.   

MTH-731

Non-Newtonian Fluid Mechanics

3(3,0)

15.   

MTH-732

Renewable Energy; Solar

3(3,0)

16.   

MTH-733

Automata Theory and Formal Language; I

3(3,0)

17.   

MTH-734

Renewable Energy; Wind

3(3,0)

18.   

MTH-735

Automata Theory and Formal Language; I

3(3,0)

19.   

MTH-736

Seismology

3(3,0)

20.   

MTH-737

Topic in Applied Mathematics

3(3,0)

 

S. No

Course Codes

Subjects Titles

Credit Hours

1.

MTH-758

Operator Theory

3(3,0)

2.

MTH-759

Lie Algebra & Lie Groups

3(3,0)

3.

MTH-760

Field Extensions & Galois Theory

3(3,0)

4.

MTH-761

Linear Groups & Group Representation

3(3,0)

5.

MTH-762

Algebra Topology

3(3,0)

6.

MTH-763

Homotopy Theory

3(3,0)

7.

MTH-764

Topological Groups

3(3,0)

8.

MTH-765

Homological Theory

3(3,0)

9.

MTH-766

Graph Theory

3(3,0)

10.

MTH-767

Design Theory

3(3,0)

11.

MTH-768

Representation Theory of Finite Groups

3(3,0)

12.

MTH-769

BCK Algebra

3(3,0)

13.

MTH-770

BCL Algebra

3(3,0)

14.

MTH-771

Advanced Theory of Rings and Modules

3(3,0)

15.

MTH-772

Spectral Theory in Hilbert spaces

3(3,0)

16.

MTH-773

Banach Algebra

3(3,0)

17.

MTH-774

Advanced Measure Theory

3(3,0)

18.

MTH-775

Advanced Number Theory

3(3,0)

19.

MTH-776

Combinatories

3(3,0)

20.

MTH-777

Geometric Function Theory

3(3,0)

22.

MTH-779

Sheaf Theory

3(3,0)

23.

MTH-780

Topos Theory

3(3,0)

24.

MTH-781

Fuzzy Logic and Neural Networks

3(3,0)

25.

MTH-782

Harmonic Analysis

3(3,0)

26.

MTH-783

Topological Vector spaces

3(3,0)

27.

MTH-784

Fuzzy Semigroup

3(3,0)

28.

MTH-785

Algebraic Geometry

3(3,0)

29.

MTH-786

Hilbert-Space Methods

3(3,0)

30.

MTH-787

Fractional Calculus

3(3,0)

 

Scheme of Program Study

Faculty Profile

S.No. Name Designation Specialization Email ID
1
Prof. Dr. Farhat Safdar
Professor
Pure Mathematics
farhat.safdar@sbkwu.edu.pk
2
Dr. Raheela Manzoor
Associate Professor
Computational Mathematics
raheela.manzoor@sbkwu.edu.pk
3
Dr. Asma Khalid
Associate Professor
Applied Mathematics
asma.khalid@sbkwu.edu.pk
4
Dr. Noreen Azhar
Assistant Professor
Applied Mathematics
noreen.azhar@sbkwu.edu.pk
5
Ms. Shazia Kalsoom
Assistant Professor
Computational Mathematics
shazia.kalsoom@sbkwu.edu.pk
6
Ms. Yasmeen Akhtar
Assistant Professor
Pure Mathematics
yasmeen.akhtar@sbkwu.edu.pk
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