Department Of Mathematics

BS Mathematics (AD-Based) 2 Years

aiousuper — Tue, 23 Dec 2025 06:13:40 +0000

BS Mathematics (AD-Based) 2 Years aiousuper Tue, 12/23/2025 - 11:13

BS Mathematics (AD-Based) 2 Years

Introduction

BS Mathematics has been designed after consulting syllabi of national and international universities. BS Mathematics program will strengthen the mathematical concepts of the candidate and will enhance their logical thinking. This program caters the needs of information Technology and other sciences disciplines.

To meet the challenging requirements of today’s fast growing world, the department of Mathematics has planned to launch BS Mathematics Program. The BS degree is deemed equivalent to MSc Mathematics. BS degree holders are being preferred throughout the world as their knowledge is more focused on Mathematics. Our BS Mathematics program will produce well trained, highly numerate and computer literate graduates.

STUDY MATERIAL

Lecture handouts will be provided by the concerned resource person/department however, the students are advised to consult the other reference books recommended by the resource person.

Eligibility Criteria

Associate Degree in the relevant field with at least 60 credit hours

Selection Process

Open Merit

Duration

2 Years

Medium of Instruction

English

Teaching Methodology

Face to Face Classes

S#	Course Title	Course Code	Credit Hours	Category
1	Real Analysis-I	MATH3513	3 (3+0)	Major
2	Ordinary Differential Equations	MATH3514	3 (3+0)	Major
3	Differential Geometry	MATH5501	3 (3+0)	Major
4	Waves and Oscillations	PHY3509	3 (3+0)	Interdisciplinary
5	Machine Learning	CS5501	3 (3+0)	Interdisciplinary
6	Fahm-e-Quran (Tajwid, Translation and Tafsir)	TFSR3501	NC	Mandatory Non-credit Course
	Total Credit Hours		15

S#	Course Title	Course Code	Credit Hours	Category
1	Topology	MATH3511	3 (3+0)	Major
2	Complex Analysis	MATH5502	3 (3+0)	Major
3	Analytical Mechanics	MATH5504	3 (3+0)	Major
4	Real Analysis-II	MATH5505	3 (3+0)	Major
5	Applied Number Theory	MATH6510	3 (3+0)	Major
6	Seerat-e-Tayyaba	TFSR3501	NC	Mandatory Non-credit Course
	Total Credit Hours		15

S#	Course Title	Course Code	Credit Hours	Category
1	Numerical Methods	MATH6501	3 (2+1)	Major
2	Partial Differential Equations	MATH6502	3 (3+0)	Major
3	Field Experience / Internship	MATH6503	3 (3+0)	Major
4	Functional Analysis	MATH6504	3 (3+0)	Major
5	Theory of Rings and Fields	MATH6523	3 (0+3)	Mandatory
	Total Credit Hours		15

S#	Course Title	Course Code	Credit Hours	Category
1	Capstone Project	MATH6524	3 (0+3)	Mandatory
2	Optional-I	—	3 (3+0)	Major
3	Optional-II	—	3 (3+0)	Major
4	Optional-III	—	3 (3+0)	Major
5	Optional-IV	—	3 (3+0)	Major
	Total Credit Hours		15

Elective / Major Courses:

Course Code	Course Title	Credit Hours
MATH 6508	Operations Research	3 (3+0)
MATH 6509	Combinatorics	3 (3+0)
MATH 6510	Applied Number Theory	3 (3+0)
MATH 6511	Galois Theory	3 (3+0)
MATH 6512	Mathematical Statistics – II	3 (3+0)
MATH 6513	Optimization	3 (3+0)
MATH 6514	Analytical Dynamics	3 (3+0)
MATH 6515	Mathematical Modeling	3 (3+0)
MATH 6516	Graph Theory	3 (3+0)
MATH 6517	Algebraic Topology	3 (3+0)
MATH 6518	Research Report	3 (3+0)
MATH 6519	Mathematical Finance – I	3 (3+0)
MATH 6520	Theory of Racks and Quandles	3 (3+0)
MATH 6521	Research Project	3 (3+0)
MATH 6522	Mathematical Methods for Statistics	3 (3+0)

2

3

4

5

6 Semesters

Assessment Weightage

For Theory Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10	20%
3	Mid Term	30	30%
4	Attendance	100	Nil	70%
5	Final Exam	100	50%	50%
For Theory-Practical Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10	20%
3	Mid Term	30	30%
4	Practical	15	30%
5	Attendance	100	Nil	70%
6	Final Exam	100	50%	50%
For Practical/FYP Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Attendance	100	Nil	70%
2	Final Exam	100	100%	50%

Note: Allama Iqbal Open University (AIOU) reserves the right to amend the fee structure policy, course offering and assessment of courses when required. The existing course(s) will be adopted/adapted as per requirement. The department may change the sequence of the course(s) offering as per availability of course(s).

BS Mathematics (BA/ BSC Based)

aiousuper — Tue, 23 Dec 2025 05:15:47 +0000

BS Mathematics (BA/ BSC Based) aiousuper Tue, 12/23/2025 - 10:15

BS Mathematics (BA/ BSC Based)

Introduction

Eligibility Criteria

Students holding a BSc degree with 45% marks shall be eligible for admission.

Students with an Associate degree (14 years of education) having less than 60 credit hours shall be eligible for admission.

Students with a discipline-specific Associate degree who wish to switch to another discipline shall also be eligible for admission.

Selection Process

Open Merit

Duration

2.5 Years

Medium of Instruction

English

Teaching Methodology

Face to Face Classes

Total Credits Hours Required

Semester: 1
2
3
4
Semester: 5
Semester: 6
Semester: 7
Semester: 8

Bridging Semester
S#	Course Title	Course Code	Credit Hours
1	Set Theory & Logic	MATH3507	3 (3+0)
2	Linear Algebra	MATH3512	3 (3+0)
3	Introduction to Probability and Probability Distributions	STAT3503	3 (3+0)
4	Mathematical Methods	MATH4504	3 (3+0)
5	Vector and Tensor Analysis	MATH4503	3 (3+0)
6	Computer and Scientific Applications	MATH3510	3 (2+1)
	Total		18

S#	Course Title	Course Code	Credit Hours	Category
1	Real Analysis-I	MATH3513	3 (3+0)	Major
2	Ordinary Differential Equations	MATH3514	3 (3+0)	Major
3	Differential Geometry	MATH5501	3 (3+0)	Major
4	Waves and Oscillations	PHY3509	3 (3+0)	Interdisciplinary
5	Machine Learning	CS5501	3 (3+0)	Interdisciplinary
6	Fahm-e-Quran (Tajwid, Translation and Tafsir)	TFSR3501	NC	Mandatory Non-credit Course
	Total Credit Hours		15

S#	Course Title	Course Code	Credit Hours	Category
1	Topology	MATH3511	3 (3+0)	Major
2	Complex Analysis	MATH5502	3 (3+0)	Major
3	Analytical Mechanics	MATH5504	3 (3+0)	Major
4	Real Analysis-II	MATH5505	3 (3+0)	Major
5	Applied Number Theory	MATH6510	3 (3+0)	Major
6	Seerat-e-Tayyaba	SERT3501	NC	Mandatory Non-credit Course
	Total Credit Hours		15

S#	Course Title	Course Code	Credit Hours	Category
1	Numerical Methods	MATH6501	3 (2+1)	Major
2	Partial Differential Equations	MATH6502	3 (3+0)	Major
3	Field Experience / Internship	MATH6503	3 (3+0)	Major
4	Functional Analysis	MATH6504	3 (3+0)	Major
5	Theory of Rings and Fields	MATH6523	3 (0+3)	Mandatory
	Total Credit Hours		15

S#	Course Title	Course Code	Credit Hours	Category
1	Capstone Project	MATH6524	3 (0+3)	Mandatory
2	Optional-I		3 (3+0)	Major
3	Optional-II		3 (3+0)	Major
4	Optional-III		3 (3+0)	Major
5	Optional-IV		3 (3+0)	Major
	Total Credit Hours		15

Elective / Major Courses:

Course Code	Course Title	Credit Hours
MATH 6508	Operations Research	3 (3+0)
MATH 6509	Combinatorics	3 (3+0)
MATH 6510	Applied Number Theory	3 (3+0)
MATH 6511	Galois Theory	3 (3+0)
MATH 6512	Mathematical Statistics-II	3 (3+0)
MATH 6513	Optimization	3 (3+0)
MATH 6514	Analytical Dynamics	3 (3+0)
MATH 6515	Mathematical Modeling	3 (3+0)
MATH 6516	Graph Theory	3 (3+0)
MATH 6517	Algebraic Topology	3 (3+0)
MATH 6518	Research Report	3 (3+0)
MATH 6519	Mathematical Finance-I	3 (3+0)
MATH 6520	Theory of Racks and Quandles	3 (3+0)
MATH 6521	Research Project	3 (3+0)
MATH 6522	Mathematical Methods for Statistics	3 (3+0)

2

3

4

5

6 Semesters

Assessment Weightage

For Theory Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10	20%
3	Mid Term	30	30%
4	Attendance	100	Nil	70%
5	Final Exam	100	50%	50%
For Theory-Practical Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10	20%
3	Mid Term	30	30%
4	Practical	15	30%
5	Attendance	100	Nil	70%
6	Final Exam	100	50%	50%
For Practical/FYP Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Attendance	100	Nil	70%
2	Final Exam	100	100%	50%

Associate Degree in Mathematics

aiousuper — Mon, 15 Dec 2025 07:51:07 +0000

Associate Degree in Mathematics aiousuper Mon, 12/15/2025 - 12:51

Associate Degree in Mathematics

Introduction

Our vision is to be among the leading Mathematics departments of the country, which provides quality education in Mathematics and is the center of active and innovative research. The department aspires to promote understanding of Mathematics through teaching and research and inculcate in students the attributes of logical and critical thinking. The Department of Mathematics has been established in June 2014. In June 2014, the Department of Mathematics & Statistics has been bifurcated as two independent departments.

Mathematical life at AIOU is very active. It comprises original investigations, discussions, lectures, and teaching at many levels. We are deeply committed to superior research in mathematics and the scientific excellence of our faculty is well recognized in the mathematical community.

The following degree programs are being offered in the Department of Mathematics. All these programs are approved by Higher Education Commission (HEC), Islamabad.

PhD Mathematics
MPhil Mathematics
BS Mathematics
AD in Mathematics

Presently, these degree programs are offered at main campus only. However, in near future, the Department intends to offer these degree programs at main regional headquarters.

The Department provides instructional support to all the faculties of the University in the teaching of courses related to Mathematical sciences. Presently, the Department is offering courses for post-graduate and graduate programs which are carefully designed with a thoughtful selection of courses from applied, pure, financial, and computational domains of mathematics in the light of guidelines provided by the HEC.

The Department offers programs in various specializations which include Pure, Applied, Computational and Financial Mathematics. Academia and students frequently participate in national, regional and international conferences. The research interests of the Department of Mathematical Sciences range from abstract to applied aspects of the discipline. Building on our current strength, our goal is to strengthen areas related to Pure and Applied Mathematics. We believe that it will help students keep pace with the latest trends in mathematics on the one hand and contribute to society at large on the other. A clearer idea of the exact areas engaging the Department's current interest can be formed from the list of the faculty and their individual areas of research.

Eligibility Criteria

Candidate must have FSc/HSSC certificate in HSSC with major Mathematics or equivalent exams approved/verified by Inter Board Committee of Chairmen (IBCC).

Selection Process

Open Merit

Duration

2 Years

Medium of Instruction

English

Teaching Methodology

Face to Face

Total Credits Hours Required

Semester: 1
2
3
4
5
Semester: 2
Semester: 3
Semester: 4

S#	Course Title	Code	CH	Category
1	Functional English	ENGL3505	3 (3+0)	GE: Functional English
2	Islamic Studies / Ethics	ITHC3501 / HADH3501	2 (2+0)	GE: Islamic Studies
3	Ideology and Constitution of Pakistan	PKST3502	2 (2+0)	GE: Ideology and Constitution of Pakistan
4	Introductory Statistics	STAT3501	3 (3+0)	Interdisciplinary
5	Pakistani Adab-I	URD3503	2 (2+0)	GE: Arts and Humanities
6	Calculus-I	MATH3502	3 (3+0)	Major
Total Credit Hours			15

S#	Course Title	Code	CH	Category
1	Expository Writing	ENGL3504	3 (3+0)	GE: Expository English
2	Civics and Community Engagement	SOC3503	2 (2+0)	GE: Civics and Community Engagement
3	Application of Information Communication & Technologies	CS3503	2 (2+0)	GE: Applications of ICT
4	Introduction to Sociology	SOC3506	3 (2+1)	GE: Social Sciences
5	Calculus-II	MATH3509	3 (3+0)
6	Set Theory & Logic	MATH3507	2 (2+0)	Major
7	Pakistan Studies	PKST3501	3 (3+0)	Major

S#	Course Title	Code	CH	Category
1	Quantitative Reasoning-I	MATH3508	3 (3+0)	GE: Quantitative Reasoning
2	Entrepreneurship	MGT3503	2 (2+0)	GE: Entrepreneurship
3	Basics of Environmental Science	ENVS4501	3 (2+1)	GE: Natural Sciences
4	Linear Algebra	MATH3512	3 (3+0)	Major
5	Analytical Geometry	MATH4502	3 (3+0)	Major
6	Discrete Mathematics-I	MATH3505	3 (3+0)	Major

S#	Course Title	Code	CH	Category
1	Quantitative Reasoning-II	MATH4505	3 (3+0)	GE: Quantitative Reasoning
2	Introduction to Probability and Probability Distributions	STAT3503	3 (3+0)	Interdisciplinary
3	Mathematical Methods	MATH4504	3 (3+0)	Major
4	Vector and Tensor Analysis	MATH4503	3 (3+0)	Major
5	Computer and Scientific	MATH3510	3 (2+1)	Major
6	Applications C++ Group Theory	MATH5503	3 (3+0)	Major

1

2

3

4

5

6 Semesters

Assessment Weightage

For Theory Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10
3	Mid Term	30	30%
4	Attendance	100	Nil	70%
5	Final Exam	100	50%	50%
For Theory-Practical Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10
3	Mid Term	30	30%
4	Practical	15
5	Attendance	100	Nil	70%
6	Final Exam	100	50%	50%
For Practical/FYP Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Attendance	100	Nil	70%
2	Final Exam	100	100%	50%

PhD Mathematics

aiousuper — Tue, 16 May 2023 11:10:48 +0000

PhD Mathematics aiousuper Tue, 05/16/2023 - 16:10

PhD Mathematics

Introduction

PhD Mathematics Program provides students an opportunity to become apprentice mathematicians. Graduates of this program can pursue careers in research and development sectors of public and private institutions, the financial industry, data analytics industry and academia. The faculty at the Department works across a wide spectrum of Mathematical fields with research in Pure, as well as Applied Mathematics. Some examples of interests within Pure Mathematics are Algebraic Geometry, Algebraic Topology, Combinatorial Commutative Algebra, Functional Analysis, Fixed Point Theory, Operator Theory and Symmetries of Differential Equations, while those in Applied Mathematics include Computational Statistical Mechanics, Numerical Methods, Mathematical and Computational Biology, Stochastic Processes, Epidemiology and Cancer Kinetics.

Program Objectives

Impart in depth knowledge and application of methodology to investigate original research problems through a systematic and focused approach
Enable students to produce publishable research for journals and conferences of international repute
Enable students to conduct independent research

Program Outcomes

Students will be able to exhibit specialized knowledge and ability to use appropriate research methodology in the relevant field of study
Students will be able to conduct systematic and focused research
Students will be able to publish research papers in journals and conferences of international repute
Students will be able to conduct and supervise independent research and can produce knowledge

Summary of the Program:

Total Credit Hours		Course	18 Credit
	54 Credit	Work	Hours
	Hours	Research	36 Credit
		Work	Hours
Minimum Duration	06 Semesters (03 Years)
Areas of	i.	Pure Mathematics
Specialization	ii.	Applied Mathematics

Course Work Evaluation:

Students must obtain minimum 70% marks each in continuous assessment/Mid Term/ Final Examination.
Student must maintain minimum class attendance 70% in the course and research work.
Pass percentage in aggregate shall be 70%.

Department of Mathematics, Ground Floor, Block # 7, AIOU, Sector H-8, Islamabad. Ph# 051-9575746, 051-9575700

Eligibility Criteria

Admission in PhD Mathematics will be granted against limited seats strictly on the basis of merit as approved by the university.
There shall be departmental test and interview (equivalent to GAT Subject) and qualifying marks shall be 70%.
Departmental admission committee will be responsible to finalize the admissions.

Duration

The minimum period for completion of course work is two semesters (one year). The minimum period for completing research work is four semesters (2 years). The maximum time- period to complete the degree is 5 years.

Semester: 1
2
3
Semester: 2
Semester: 3
Semester: 4
Semester: 5
Semester: 6

Scheme of Studies: (Any six courses will be offered)

Semester-I &II

S. No.	Course Code	Course Title	Credit
S. No.	Course Code	Course Title	Hours
1	7737	Numerical Analysis of Spectral Methods	3(3+0)
2	8807	Variational Inequalities and Applications	3(3+0)
3	8810	Continuous-Time Finance	3(3+0)
4	8809	Non-Newtonian Fluids	3(3+0)
5	7751	Stochastic Differential Equations	3(3+0)
6	8806	Numerical Methods for variational Inequalities	3(3+0)
7	8808	Momentum and Thermal Boundary Layer Theory	3(3+0)
8	8804	Knot Theory	3(3+0)
9	7747	Theory of Semiring- II	3(3+0)
10	7734	Theory of Semirings-I	3(3+0)
11	8802	Algebraic Lie Theory	3(3+0)
12	8803	Advanced Group Actions	3(3+0)
13	7745	C* Algebra	3(3+0)
14	7739	Banach Algebra	3(3+0)
15	8801	Advanced Convex Analysis	3(3+0)
16	8805	Mathematical Programming	3(3+0)

Scheme of Studies: (Any six courses will be offered)

Semester-I &II

S. No.	Course Code	Course Title	Credit
S. No.	Course Code	Course Title	Hours
1	7737	Numerical Analysis of Spectral Methods	3(3+0)
2	8807	Variational Inequalities and Applications	3(3+0)
3	8810	Continuous-Time Finance	3(3+0)
4	8809	Non-Newtonian Fluids	3(3+0)
5	7751	Stochastic Differential Equations	3(3+0)
6	8806	Numerical Methods for variational Inequalities	3(3+0)
7	8808	Momentum and Thermal Boundary Layer Theory	3(3+0)
8	8804	Knot Theory	3(3+0)
9	7747	Theory of Semiring- II	3(3+0)
10	7734	Theory of Semirings-I	3(3+0)
11	8802	Algebraic Lie Theory	3(3+0)
12	8803	Advanced Group Actions	3(3+0)
13	7745	C* Algebra	3(3+0)
14	7739	Banach Algebra	3(3+0)
15	8801	Advanced Convex Analysis	3(3+0)
16	8805	Mathematical Programming	3(3+0)

Comprehensive Examination + Proposal Submission + Research Work and Thesis Writing.

Elective / Major Courses:

Synopsis/Research Work:

On the completion of 18 credit hours of course work, the successful students will appear in comprehensive and viva voce examinations. The students who scored 70 % in the comprehensive and viva voce examinations will embark upon research of 36 credit hours for four semesters. The department will hold two-weeks Synopsis Orientation Workshop (SOW) The purpose of the SOW is to guide the PhD scholars/researchers in finalizing their topics of Synopsis/Research. Participation in the SOW will be mandatory. Researchers are supposed to develop and present their synopsis before the Departmental Synopsis Committee. Finally, topic of synopsis/research will be forwarded to the concerned body for approval as per PhD rules and regulations of the university.

2

3

4

5

6

7

8

Mr Rizwan Salim Badar

aiousuper — Tue, 05 Jul 2022 09:33:29 +0000

Mr Rizwan Salim Badar aiousuper Tue, 07/05/2022 - 14:33

Lecturer

Mr Rizwan Salim Badar

Education

PhD. Mathematics Comsats University Islamabad, Islamabad Campus

Status Thesis in progress

M. Phil Mathematics: Quaid-i-Azam University Islamabad

Field Commutative Algebra

CGPA 4.6/5

Year 2008

MSc Mathematics Quaid-i-Azam University Islamabad

Marks 2064/3000

Year 2006

B.Sc. Punjab University

Marks 544/800

Year 2004

F.Sc. Federal Board

Marks 792/1100

Year 2002

Matriculation Federal Board

Marks 685/800

Year 2004

Experience

FG Science Degree College Wah Cantt., Pakistan Duration 25^th June 2020 to 07 June 2022

Post Held Assistant Professor

Level F.Sc. and BS

Subjects Mathematics

FG Sir Syed College Rawalpindi, Pakistan

Duration 21^st October 2010 to 24^th June 2020

Post Held Assistant Professor and Lecturer

Level F.Sc. and BS

Subjects Mathematics

FG Inter College, Kotli (AJK), Pakistan

Duration 23^rd January 2008 to 18^th October 2010

Post Held Lecturer

Level FSc

Subjects Mathematics

Publications

A Generalization of Integral Dependence

Tariq Shah, Shabieh Farwa, Rizwan Salim Badar, Advances in Algebra Vol. 3, No. 1, pp.

43-55 (2010)

Irreducible Generalized Polynomials in a Monoid Ring

Tariq Shah , Rizwan Salim Badar, Journal of Advanced Research in Pure Mathematics Vol. 3, No. 4, pp. 24-32 (2011)

On a class of Quantum Apha-Convex Functions

Khalida Inayat Noor , Rizwan Salim Badar, Journal of Applied Mathematics &

Informatics Vol. 36, No. 5-6, pp. 567-574 (2018)

On q-Uniformly Mocanu Functions

Rizwan Salim Badar, Khalida Inayat Noor , Fractal and Fractional Vol. 33, No. 1 (2019)

q-Generalized Linear Operator on Bounded Functions of Complex Order

Rizwan Salim Badar, Khalida Inayat Noor, Mathematics Vol. 8, No. 7 (2020)

Generalized q-Srivastava-Attiya Operator on Multivalent Functions

Rizwan Salim Badar, Khalida Inayat Noor, Studia Universitatis Babes-Bolyai

Mathematica (accepted)

Subclasses of Analytic Functions Defined by Lommel Operator

Sahsene Altinkaya, Rizwan Salim Badar, Khalida Inayat Noor, Communications of the

Korean Mathematical Society (accepted)

Project, Research Interests

Geometric Function Theory (Complex Analysis)

Commutative Algebra

MPhil Math

aiousuper — Fri, 15 Apr 2022 05:50:30 +0000

MPhil Math aiousuper Fri, 04/15/2022 - 10:50

MPhil Math

Introduction

The MPhil Mathematics Program at the Department of Mathematics was started in 2015 after obtaining NOC from HEC. The program currently meets HEC’s all requirements and is HEC approved. The Program offers the opportunity of further specialized training in an area of interest in Pure Mathematics or Applied Mathematics. The program is designed to cover many fields of interest in terms of educating students to apply mathematics in industries, banking, as well as solving real life problems.

The curriculum of this program is designed in such a way that both the course work and the research components are covered thoroughly.

Eligibility Criteria

Candidates having BS/MA/MSc in Mathematics with minimum CGPA 2.5/4.00 (OR) 45% marks in annual system from any HEC recognized university.

Selection Process

Selection of the candidates will be made strictly on the basis of merit/criteria laid down by the Department/ University.

Duration

2 Years

Medium of Instruction

English

Teaching Methodology

Face to Face Classes/Workshops

Total Credits Hours Required

36 Credit Hours

Semester: 1
2
3
4
5
Semester: 2
Semester: 3
Semester: 4

1. Theory of Fluids --7732

2. Advanced Ring Theory-- 7741

3. Probability and Stochastic Processes --7753

4. Advanced Topology-- 7754

1. Optional-I

2. Optional -II

3. Optional -III

4. Optional -IV

1. Thesis-7750

Elective / Major Courses:

List of Optional Courses (Applied Mathematics)

1. Mathematical Techniques for Boundary Value Problems --7733

2. Advanced Partial Differential Equations-- 7748

3. Computational Fluid Dynamics --7744

4. Discrete-Time Finance --7760

5. Numerical Solutions of Partial Differential Equations-- 7743

6. Advanced Analytical Dynamics-I-- 7736

List of Optional Courses (Pure Mathematics)

1. Theory of Group Actions-- 7731

2. Theory of Group Graphs --7742

3. Theory of Semi Rings -- 7740

4. Fixed Point Theory-7735

5. Cellular Automata and Groups --7752

6. Ordered Vector Spaces -- 7730

2 Semesters

Workshop

Two Weeks Synopsis/Workshop Compulsory

Thesis

Compulsory

Practical

Nil

Viva

Compulsory

Collaborations

Nil

BS Math (4 Years)

aiousuper — Fri, 15 Apr 2022 05:44:07 +0000

BS Math (4 Years) aiousuper Fri, 04/15/2022 - 10:44

BS Math (4 Years)

Introduction

OBJECTIVES

After completing this program, students will acquire the necessary knowledge based in the area of Mathematics. The overall objective of this program is

1. To enhance the qualification of those who could not continue their education after F. Sc. through formal universities.
1. To provide an opportunity to in service persons to improve their qualification and get promotion in their respective departments.
1. To provide in-depth understanding of Mathematics and apply them in real life projects.
1. To produce quality teacher/researchers of Mathematics at all levels.

There are three types of BS-Mathematics program being offered depending upon their eligibility criteria and duration of the program.

Eligibility Criteria

Candidate must have FSc/HSSC certificate in HSSC with major Mathematics or equivalent exams approved/verified by Inter Board Committee of Chairmen (IBCC).

Selection Process

Open Merit

Duration

4 Years

Medium of Instruction

English

Teaching Methodology

Face to Face Classes

Total Credits Hours Required

128

Semester: 1
Semester: 2
Semester: 3
Semester: 4
Semester: 5
Semester: 6
Semester: 7
Semester: 8

S#	Course Title	Code	CH (Lec+Lab)	Category: General Education Cluster (GE)
1.	Functional English	ENGL3505	3 (3+0)	GE: Functional English
2.	Islamic Studies / Ethics	ITHC3501 / HADH3501	2 (2+0)	GE: Islamic Studies
3.	Ideology and Constitution of Pakistan	PKST3502	3 (3+0)	GE: Ideology and Constitution of Pakistan
4.	Introductory Statistics	STAT3501	2 (2+0)	Interdisciplinary
5.	Pakistani Adab – I	URD3503	3 (3+0)	GE: Arts and Humanities
6.	Calculus – I	MATH3502	2 (2+0)	Major
	Total Credit Hours		15

S#	Course Title	Code	CH (Lec+Lab)	Category: General Education (GE) / Other
1.	Expository Writing	ENGL3504	3 (3+0)	GE: Expository English
2.	Civics and Community Engagement	SOC3503	2 (2+0)	GE: Civics and Community Engagement
3.	Application of Information & Communication Technologies	CS3503	3 (2+1)	GE: Applications of ICT
4.	Introduction to Sociology	SOC3506	2 (2+0)	GE: Social Sciences
5.	Calculus – II	MATH3507	3 (3+0)	Major
6.	Set Theory & Logic	MATH3509	3 (3+0)	Major (or Interdisciplinary – often used in CS/Math)
7.	Pakistan Studies	PKST3501	2 (2+0)	GE: Ideology and Constitution of Pakistan
	Total Credit Hours		18

S#	Course Title	Code	CH (Lec+Lab)	Category
1.	Quantitative Reasoning – I	MATH3508	3 (3+0)	GE: Quantitative Reasoning
2.	Entrepreneurship	MGT3503	2 (2+0)	GE: Entrepreneurship
3.	Basics of Environmental Science	ENVS4501	3 (2+1)	GE: Natural Sciences
4.	Linear Algebra	MATH3512	3 (3+0)	Major
5.	Analytical Geometry	MATH3505	3 (3+0)	Major
6.	Discrete Mathematics – I	MATH4502	3 (3+0)	Major
	Total Credit Hours		17

S#	Course Title	Code	CH (Lec+Lab)	Category
1.	Quantitative Reasoning – II	STAT3503	3 (3+0)	GE: Quantitative Reasoning
2.	Introduction to Probability	MATH4505	3 (3+0)	Major
3.	Probability Distributions	MATH4504	3 (3+0)	Major
4.	Mathematical Methods	MATH4503	3 (3+0)	Major
5.	Vector and Tensor Analysis	MATH3510	3 (2+1)	Major
6.	Computer and Scientific Applications (C++)	MATH5503	3 (2+1)	Major / Interdisciplinary
	Total Credit Hours		18

S#	Course Title	Code
1.	Real Analysis – I	MATH3513
2.	Ordinary Differential Equations	MATH3514
3.	Differential Geometry	MATH5501
4.	Waves and Oscillations	PHY3509
5.	Machine Learning	CS5501
6.	Fahm-e-Quran (Tajwid, Translation & Tafsir)	ISLM3505

S#	Course Title	Code	CH (Lec+Lab)	Category
1.	Topology	MATH3511	3 (3+0)	Major
2.	Complex Analysis	MATH5502	3 (3+0)	Major
3.	Analytical Mechanics	MATH5504	3 (3+0)	Major
4.	Real Analysis – II	MATH5505	3 (3+0)	Major
5.	Applied Number Theory	MATH6510	3 (3+0)	Major
6.	Seerat-e-Tayyaba	SERT3501	NC (0+0)	Mandatory Non-Credit Course
	Total Credit Hours		15

S#	Course Title	Code	CH (Lec+Lab)	Category
1.	Numerical Methods	MATH6501	3 (2+1)	Major
2.	Partial Differential Equations	MATH6502	3 (3+0)	Major
3.	Functional Analysis	MATH6503	3 (3+0)	Major
4.	Theory of Rings and Fields	MATH6523	3 (3+0)	Major
5.	Field Experience / Internship	MATH6999*	3 (0+3)	Mandatory (Practical)
	Total Credit Hours		15

S#	Course Title	Code	CH (Lec+Lab)	Category
1.	Capstone Project	MATH6524	3 (0+3)	Mandatory
2.	Optional – I	MATHxxxx	3 (3+0)	Major
3.	Optional – II	MATHxxxx	3 (3+0)	Major
4.	Optional – III	MATHxxxx	3 (3+0)	Major
5.	Optional – IV	MATHxxxx	3 (3+0)	Major
	Total Credit Hours		15

Elective / Major Courses:

Code	Course Title	CH (Lec+Lab)
MATH6508	Operation Research	3(3+0)
MATH6509	Combination	3(3+0)
MATH6510	Applied Number Theory	3(3+0)
MATH6511	Galois Theory	3(3+0)
MATH6512	Mathematical Statistics-II	3(3+0)
MATH6513	Optimization	3(3+0)
MATH6514	Analytical Dynamics	3(3+0)
MATH6515	Mathematical Modeling	3(3+0)
MATH6516	Graph Theory	3(3+0)
MATH6517	Algebraic Topology	3(3+0)
MATH6518	Research Report	3(3+0)
MATH6519	Mathematical Finance-I	3(3+0)
MATH6520	Theory of Racks and Quandles	3(3+0)
MATH6521	Research Project	3(3+0)
MATH6522	Mathematical Methods for Statistics	3(3+0)

2

3

4

5

6 Semesters

Assessment Weightage

For Theory Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10	20%
3	Mid Term	30	30%
4	Attendance	100	Nil	70%
5	Final Exam	100	50%	50%
For Theory-Practical Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Assignment	10	20%	50% (In aggregate)
2	Assignment 2	10	20%
3	Mid Term	30	30%
4	Practical	15	30%
5	Attendance	100	Nil	70%
6	Final Exam	100	50%	50%
For Practical/FYP Courses:
S.No.	Components	Total Marks	Weightage	Passing Marks
1	Attendance	100	Nil	70%
2	Final Exam	100	100%	50%

Ms Fouzia Rehman

aiousuper — Fri, 18 Mar 2022 07:29:11 +0000

Ms Fouzia Rehman aiousuper Fri, 03/18/2022 - 12:29

Research Associate (Maths)

Ms Fouzia Rehman

051 9057393

fouzia.rehman@aiou.edu.pk

Education

M.Phil in Applied Mathematics

2 Experience

Publications

-F. Rehman, M.I. Khan, M. Sadiq, A. Malook ,MHD flow of carbon in micropolar nanofluid with convective heat transfer in the rotating frame, J. Mol. Liq., 231 (2017), pp. 353-363

Dr Muhammad Nazam

aiousuper — Fri, 18 Mar 2022 07:27:11 +0000

Dr Muhammad Nazam aiousuper Fri, 03/18/2022 - 12:27

Assistant Professor

Dr Muhammad Nazam

Dr. Muhammad Nazam, PhD completed during January 2015-November 2018, is an accomplished academician with over 5 years of teaching and research experience. As a teacher, he designed and taught a variety of courses at BS, M. Sc, and M. Phil level at AIOU.

051 9575731

muhammad.nazam@aiou.edu.pk

Education

2018 Ph.D. Mathematics, International Islamic University, Islamabad, Pakistan Specialization: Functional Analysis (Fixed Point Theory).

Title of Ph.D. Thesis: Existence of Solutions of Fixed Point Problems of Generalized

Contraction Mappings with Applications.

Supervisor: Prof. Dr. Muhammad Arshad

2014 M. Phil. Mathematics, Government College University, Lahore, Pakistan.

Title of M. Phil. Thesis: Spanning Simplicial Complexes of General Friendship Graphs.

Supervisor: Dr. Hasan Mahmood

2003 M.Sc. Mathematics, Punjab University Lahore, Pakistan.

Experience

21-04- 2025 to date, Assistant Professor (Mathematics), Allama Iqbal Open University.
20-04- 2018 -20-04- 2025, Lecturer in Mathematics, Allama Iqbal Open University.
September 2015-January 2018: Visiting Lecturer in Mathematics, Department of Mathematics & Statistics, International Islamic University, Islamabad, Pakistan.
2013-2018: Lecturer in Mathematics, FGEI’s (C / G) Rawalpindi, Pakistan.
2008-2013: Mathematics Teacher, Garrison Academy for Boys (APSACS), Lahore Cantt., Pakistan.

Publications

A. Arif, M. NAZAM, H H. Alsulami, A. Hussain, H. Mahmood, Fixed point and homotopy methods in cone A-metric spaces and application to the existence of solutions to Urysohn integral equation, Symmetry, 2022, 14, 1328. https://doi.org/10.3390/sym1407132.
K. Javed, M. NAZAM, A. Hussain, H H. Al-Sulami, M. Arshad, Best proximity point theorems for the generalized fuzzy interpolative proximal contractions, Fractal and Fractional, Manuscript ID: 1744605.
M. NAZAM, K. Javed, M. Arshad, The (Φ, Ψ) -orthogonal interpolative contractions and an application to fractional differential equations, ACCEPTED in Filomat.
M. NAZAM, H. Aydi, A. Hussain, Existence theorems for (Φ, Ψ)-orthogonal interpolative contractions and an application to fractional differential equations, Optimization, 71, https://doi.org/10.1080/02331934.2022.2043858.
O. Acar, M. NAZAM, Existence theorems for the contractions in weak partial metric spaces, TWMS J. Pure Appl. Math. To appear in Vol. 13 No. 2. (HEC, SCIE)
M. NAZAM, A. Hussain, and H. H Al Sulami, Remarks on the generalized interpolative contractions and some fixed-point theorems with application, Open Mathematics, to appear in 20(1) 2022.
T. Rasham, M. NAZAM, H. AYDI, A. Shoaib, C. Park, Hybrid pair of multivalued mappings in modular like metric spaces and applications, AIMS Mathematics, 7(6) 2022: 10582-10595
S. Anwar, M. NAZAM, K. Javed, M. Arshad, Existence fixed point theorems in the partial b-metric spaces and an application to the boundary value problem, AIMS Mathematics, 7(2022), 8188-8205.
A. Arif, M. NAZAM, A. Hussain, M. Abbas, Ordered implicit relations and related fixed point problems in the cone b-metric spaces, AIMS Mathematics 7(4) (2022) 5199-5219.
M. NAZAM, H. Aydi, A. Hussain, Generalized interpolative contractions and an application, Journal of Mathematics Vol. 2021, Art ID 6461477.
M. NAZAM, Zahida Hamid, Hamed Al Sulam, A. Hussain, Common fixed-point theorems in the partial b-metric spaces and an application to the system of boundary value problems, Journal of Function Spaces. Vol. 2021, Art ID 7777754, 11 pages. (HEC, SCIE).
M. NAZAM, H. Isik, K. Javed, M. Naeem, M. Arshad, The existence of fixed points for a different type of contractions on partial b-metric spaces, Journal of Mathematics, Vol. 2021, Art ID 5158552, 11 pages (HEC, SCIE).
E. Ameer, H. Aydi, M. NAZAM, Manuel De la Sen, Results on fixed circles and discs for L (ω, C)-contractions and related applications, Advances in Difference Equations (2021) 2021:349 https://doi.org/10.1186/s13662-021-03510-w (HEC, SCIE).
M. NAZAM, H. Aydi, C. Park, M. Arshad, Some variants of Wardowski fixed point theorem, Advances in Difference Equations 2021, (2021) 2021:485 (HEC, SCIE).
M. NAZAM, E. Ameer, M. Mursaleen, O. Acar, Nonlinear inequalities and related fixed-point problems, Journal of Mathematical Inequalities Vol. 15 No.3 (2021) 941-967 (HEC, SCIE).
M. NAZAM, C. Park, M. Arshad, Fixed point problems for generalized contractions with applications, Advances in Difference Equations 2021, 247 (2021). https://doi.org/10.1186/s13662-021-03405-w (HEC, SCIE).
S. O. Kim, M. NAZAM, Existence theorems on advanced contractions with Applications, Journal of Function Spaces, Vol. 2021 Article ID 6625456, 15 pages. (HEC, SCIE)
E. Ameer, H. Aydi, H. Isik, M. NAZAM, Vahid Parvaneh, M. Arshad, Some existence results for the system of nonlinear fractional differential equations, Journal of Mathematics, Vol. 2020, Article ID 4786053, 17 pages, http://doi.org/10.1155/2020/4786053. (HEC, SCIE)
M. NAZAM, A. Arif, H. Mahmood, S. O. Kim, Fixed Point Problems in Cone Rectangular Metric Spaces with Applications, Journal of Function Spaces, Vol. 2020 Article ID 8021234 https://doi.org/10.1155/2020/8021234. (HEC, SCIE)
M. NAZAM, On Jc-contraction and related fixed point problem with applications, Math. Meth. Appl. Sci. (2020) 43(17), 10221-10236. https://doi.org/10.1002/mma.6689 (HEC, SCIE)
M. NAZAM, A. Arif, C. Park, H. Mahmood, Some results in cone metric spaces with applications in homotopy theory, Open Math. 2020; 18: 295-306. (HEC, SCIE)
M. NAZAM, H. Aydi, A. Mukheimer, M. Arshad, R. Riaz, Fixed point results for dualistic contractions with an application, Discrete Dynamics in Nature and Society, Volume 2020, Article ID 6428671, 9 pages https://doi.org/10.1155/2020/6428671. (HEC, SCIE)
M. NAZAM, M. Arshad, Fixed point results for α-nonexpansive mappings on partial b-metric spaces, Thai Journal of Mathematics Vol. 18, No. 1 (2020), Pages 38 - 52. (HEC, ESCI)
M. NAZAM, H. Aydi, M. Arshad, A real generalization of Dass-Gupta fixed point theorem, TWMS J. Pure Appl. Math. V.11, N.1, 2020, pp. 109-118. (HEC, SCIE)
M. NAZAM, C. Park, M. Arshad, H. Mahmood, On a Fixed Point Theorem with Application to Functional Equations, Open Math. 2019; 17:1724-1736. (HEC, SCIE)
M. NAZAM, N. Hussain, A. Hussain, M. Arshad, Fixed point theorems for weakly admissible pair of F-contractions with application, Nonlinear Analysis: Modelling and Control 24(6) 898-918 (2019). (HEC, SCIE)
A. Asif , M. NAZAM, M. Arshad, Metric, Contraction and Common Fixed Point Theorems with Applications, Mathematics, 7(5), 586, 1-13 (2019). (HEC, SCIE)
M. NAZAM, H. Aydi, M. S. Noorani, Existence of fixed points of four maps for a new generalized F-contraction and an application, Journal of Function Spaces, Volume 2019, Article ID 5980312, 8 pages. (HEC, SCIE)
E. Ameer, M. NAZAM, M. Arshad, On (Λ, Υ, <)-Contractions and Applications to Nonlinear Matrix Equations, Mathematics, 7(5), 443, 1-18 (2019). (HEC, SCIE)
M. NAZAM, C. Park, A. Hussain, M. Arshad, J.R. Lee, Fixed point theorems for F-contractions on closed ball in partial metric spaces. Journal of Computational Analysis & Applications 27 (2019), 759-769. (HEC, SCOPUS)
M. NAZAM, M. Arshad, C. Park, Ö Acar, S. Yun, G. A. Anastassiou, On solution of a system of differential equations via fixed point theorem. Journal of Computational Analysis & Applications 27 (2019), 417-426. (HEC, SCOPUS)
M. NAZAM, M. Arshad, C. Park, S. Yun, Fixed points of Círíc type ordered F-contractions on partial metric spaces. Journal of Computational Analysis & Applications 26 (2019) 1459-1470. (HEC, SCOPUS)
M. NAZAM, C. Park, M. Arshad, S. Yun, On dual partial metric topology and a fixed point theorem, Journal of Computational Analysis and Applications 26 (2019), 832-840. (HEC, SCOPUS)
E. Ameer, H. Huang, M. NAZAM, M. Arshad, Fixed point theorems for multivalued contractions with admissible mappings in partial b-metric spaces and application, Scientific Bulletin (UPB), 81(2), 97-108 (2019). (HEC, SCIE)
M. NAZAM, O. Acar, Fixed points of (α, ψ)-contractions in Hausdorff partial metric spaces, Math. Meth. Appl. Sci. 42(16), 5159-5173 (2019). (HEC, SCIE)
M. NAZAM, M. Arshad, Fixed Point Theorems for Weak Contractions in Dualistic Partial Metric Spaces, International Journal of Nonlinear Analysis and Applications, Vol. 9 No. 2, 179-190 (2019). (HEC, ESCI)
M. NAZAM, H. Aydi, M. Arshad, On some problems regarding set valued (α, ψ) F-contractions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Vol. 68 ,No. 2, 1240-1255. (2019). (HEC, ESCI)
Ma Zhenhua, M. NAZAM, S. U. Khan, Li Xiangling, Fixed point theorems for generalized -contractions with applications, Journal of Function Spaces, Vol. 2018, paper ID: 8368546, 10 pages. (HEC, SCIE)
H. Aydi, R. Bankovic, I. Mitrovic, M. NAZAM, Nemytzki-Edelstein-Meir-Keeler type results in b-metric spaces, Discrete Dynamics in Nature and Society, Vol. 2018 Art. ID 4745764, 7 pages. (HEC, SCIE)
M. NAZAM, M. Arshad, M. Postolache, Coincidence and common fixed point theorems for four mappings satisfying ( ,F)-contraction, Nonlinear Analysis: Modelling and Control Vol. 23 No. 5(2018), 664-690. (HEC, SCIE)
M. NAZAM, M. Arshad, Some Fixed Point Results in Ordered Dualistic Partial Metric Spaces, Transactions of A. Razmadze Mathematical Institute, 172 (2018), 498-509. (HEC, ESCI)
M. NAZAM, M. Arshad, M. Postolache, On Common Fixed Point Theorems in Dualistic Partial Metric Spaces, Journal of Mathematical Analysis, 9 (2018), 76-89. (ESCI)
O. Acar, Ma Zhenhua, M. NAZAM, S. U. Khan, Fixed Point Theorems For Integral Type Mappings Subject to -Distance, Journal of Mathematical Analysis, 9 (2018), 59-69. (ESCI)
M. NAZAM, O. Acar, On Common Fixed Points Theorems For Ordered F-contractions With Application, Facta Universitatis Ser. Math. Inform., 33 (2018), 125-140.
M. NAZAM, M. Arshad, A. Hussain, Fixed Points of Chatterjea Type Multi-valued F-Contractions on Closed Ball, Nonlinear Functional Analysis and Applications, 23 (2018), 259-274. (HEC, ESCI)
M. NAZAM, M. Arshad, C. Park, On Fixed Point Theorems in Dualistic Partial Metric Spaces, J. Computational Analysis and Applications, 24 (2018), 1334-1344. (HEC, SCIE)
M. NAZAM, M. Arshad, C. Park, On Solution of System of Integral Equations via Fixed Point Method, J. Computational Analysis and Applications, 24 (2018), 1474-1482. (HEC, SCIE)
M. NAZAM, M. Arshad, C. Park, Dualistic Contractions of Rational Type and Related Fixed Point Theorems, J. Computational Analysis and Applications, 25 (2018), 1199-1209. (HEC, SCIE)
M. NAZAM, M. Arshad, C. Park, A Common Fixed Point Theorem for a Pair of Generalized Contraction Mappings with Applications, J. Computational Analysis and Applications, 25 (2018), 552-565. (HEC, SCIE)
M. NAZAM, Ma Zhenhua, S. U. Khan, M. Arshad, Common Fixed Points of Four Maps Satisfying F-Contraction on b-metric Spaces, Journal of Function Spaces, Vol. 2017 paper ID: 9389768, 11 pages. (HEC, SCIE)
M. NAZAM, C. Park, M. Arshad, Common Fixed Points of Generalized Rational Contractions on a Closed Ball in Partial Metric Spaces, J. Nonlinear Sci. Appl. 10 (2017), 5261-5270. (HEC, SCIE)
M. NAZAM, M. Arshad, M. Abbas, Existence of Common Fixed Points of Improved F-Contractions on Partial Metric Spaces, Appl. Gen. Topol., 18 (2017), 277-287. (HEC, ESCI)
A Hussain, M Arshad, M NAZAM, New Type of Multivalued F-Contraction Involving Fixed Points on Closed Ball, J. Math. Comp. Sci. 17 (2017), 246-254. (HEC, ESCI)
A. Hussain, M. Arshad, M. NAZAM, Connection of Ciric type F-contraction involving fixed point on closed ball, Gazi University Journal of Science 30 (2017), 283-291. (HEC, SCOPUS)
M. NAZAM, M. Arshad, O. Valero, A. Shoaib, On Dualistic Contractive Mappings, TWMS J. Pure Appl. Math., 8 (2017), 186-197. (HEC, SCIE)
M. NAZAM, A. Ghiura, M. Arshad, Common Fixed Point Theorem for Generalized b-Order Rational Contraction with Application, Journal of Mathematical Analysis, 8 (2017), 34-45. (ESCI)
M. NAZAM, M. Arshad, C. Park, A fixed point theorem with application to a class of integral equations, Journal of Mathematical Extension, 11 (2017), 71-83. (HEC, ESCI)
M. NAZAM, M. Arshad, C. Park, Fixed Point Theorems For Improved -Geraghty Contractions in Partial Metric Spaces, J. Nonlinear Sci. Appl. 9(6) (2016), 4436-4449. (HEC, SCIE)
M. Arshad, M. NAZAM, I. Beg, Fixed Point Theorems in Ordered Dualistic Partial Metric Spaces, Korean J. Math. 24 (2016), 169-179. (HEC, ESCI)
S.U. Khan, M. Arshad, A. Hussain, M. NAZAM, Two new types of fixed point theorems for F-contraction, Journal of Advanced Studies in Topology 7 (4), (2016) 251-260.
M. NAZAM, M. Arshad, M. Abbas, Some Fixed Point Results For Dualistic Rational Contractions, Appl. Gen. Topol. 17 (2016), 199-209. (HEC, ESCI)

Project, Research Interests

Fixed-point theory and its applications
Optimization Theory
Real and Complex Analysis
Functional analysis

Research Project

HEC research project under NRPU 2022 (Award No. 15548, Rs. 5205000)

Mr Muhammad Faisal Iqbal

aiousuper — Fri, 18 Mar 2022 07:26:27 +0000

Mr Muhammad Faisal Iqbal aiousuper Fri, 03/18/2022 - 12:26

Lecturer

Mr Muhammad Faisal Iqbal

051-9057380

fasi_g88@yahoo.com