Departmental Ledger
At a Glance
Career Paths
Government Graduate College Asghar Mall, Rawalpindi · est. 1948
The Department of Mathematics aims to shape the next generation of mathematicians and data thinkers, through a BS programme that ties together theory, computation, and applied work in artificial intelligence — producing graduates who go on to lead in academia, industry, and government, building intelligent solutions for real problems.
Vision: A department where creativity and research meet at the intersection of mathematics and AI.
Mission: A BS programme rooted in mathematical theory, strengthened by computation, and pushed further by artificial intelligence — building curiosity, critical thinking, and ethical leadership, and connecting classroom learning with research and industry needs.
Also Offered: Lateral Entry (Post Associate Degree)
BS Mathematics — 5th Semester (Lateral Entry) — direct entry into 5th semester for students who've completed an Associate Degree (Associate Degree (B.A./B.Sc., 4 Semesters) or equivalent), rather than starting BS from 1st semester.
Remaining Duration: 2 Years (Semester 5–8)
The Faculty

Muhammad Ismail Razi
Professor of Mathematics & Head of Department · MPhil — Applied Mathematics

Nadeem Safdar
Associate Professor · MPhil — Applied Mathematics

Jafar Raza
Associate Professor · MPhil — Applied Mathematics

Sajid Hussain
Associate Professor · MPhil — Applied Mathematics

Fatima Shahid
Associate Professor · MPhil — Applied Mathematics

Babur Umar
Associate Professor · MPhil — Pure Mathematics

Dr. Sajid Shah
Assistant Professor · PhD — Pure Mathematics

Dr. Abdul Raheem
Assistant Professor · PhD — Graph Theory

M. Imran
Assistant Professor · MPhil — Numerical Analysis

Dr. M. Naeem
Lecturer · PhD — Complex Inequalities
Dr. Hamid Qureshi
Lecturer · PhD — Artificial Intelligence and Machine Learning
Dr. Sadaf Nawaz
Lecturer · PhD — Fluid Mechanics
Sehrish Rani
Lecturer · MPhil — Applied Mathematics

M. Haris Tahir
Lecturer · MPhil — Fixed Point Theory
Admissions · Session 2026
BS Mathematics
Why Study Mathematics Here
Mathematics has a long institutional history at the college — one of the original five M.Sc. subjects offered back in 1963 — and that legacy continues through students' Punjab University Gold Medals and alumni now working across academia, actuarial science, and data science. The department maintains a dedicated Mathematics Resource Library and a computer lab equipped with MATLAB, R, and Python, with lateral entry available into the 5th semester of BS Mathematics. Student life runs through the Mathematics Olympiad, problem-solving circles, guest lectures, and regular seminars.
Curriculum
Scheme of Studies — BS Mathematics
The University of the Punjab course scheme for this programme. Courses are allotted to each semester by the department. Filter or search below.
Choose a semester (or another filter) above to view the courses for that semester.
| Sem | Code | Course Title | Scheme | Combination |
|---|---|---|---|---|
| 1 | AHPH-100 | Fundamentals of Philosophy (AH) | New | |
| 1 | GENG-101 | Functional English | New | |
| 1 | GICP-101 | Ideology and Constitution of Pakistan | New | |
| 1 | GQR-101 | Quantitative Reasoning (I) | New | |
| 1 | HQ-001N | Fehm-e-Quran | New | |
| 1 | MATH-101 | Single Variable Calculus | New | |
| 1 | SS-101 | Introduction to Economics (SS) | New | |
| 1 | COMP-111 | Computer (Introduction and Applications) | Old | Combination-I |
| 1 | ENG-111 | English-I (Language in Use) | Old | Combination-I |
| 1 | ISE-111 | Islamiat/Ethics | Old | Combination-I |
| 1 | MATH-101 | Mathematics A-I [Calculus (I)] | Old | Combination-I |
| 1 | MATH-102 | Mathematics B-I [Vectors & Mechanics (I)] | Old | Combination-I |
| 1 | PHY-111 | Physics-I | Old | Combination-I |
| 1 | PHY-112 | Physics Lab-I | Old | Combination-I |
| 1 | COMP-111 | Computer (Introduction and Applications) | Old | Combination-II |
| 1 | ENG-111 | English-I (Language in Use) | Old | Combination-II |
| 1 | ISE-111 | Islamiat/Ethics | Old | Combination-II |
| 1 | MATH-101 | Mathematics A-I [Calculus (I)] | Old | Combination-II |
| 1 | MATH-102 | Mathematics B-I [Vectors & Mechanics (I)] | Old | Combination-II |
| 1 | STAT-101 | Statistics-I | Old | Combination-II |
| 1 | STAT-102 | Statistics Lab-I | Old | Combination-II |
| 2 | GCCE-101 | Civics and Community Engagement | New | |
| 2 | GENT-101 | Entrepreneurship | New | |
| 2 | GISL-101 / GETH-101 | Islamic Studies / Ethics (for Non-Muslims) | New | |
| 2 | HQ-002N | Fehm-e-Quran | New | |
| 2 | MATH-102 | Plane Curves & Analytic Geometry | New | |
| 2 | MATH-103 | Introduction to Graph Theory | New | |
| 2 | MATH-104 | Discrete Mathematics | New | |
| 2 | ENG-112 | English-II (Academic Reading and Writing) | Old | Combination-I |
| 2 | MATH-103 | Mathematics A-II [Plane Curves & Analytic Geometry] | Old | Combination-I |
| 2 | MATH-104 | Mathematics B-II [Mechanics (II)] | Old | Combination-I |
| 2 | MATH-105 | Discrete Mathematics | Old | Combination-I |
| 2 | PHY-113 | Physics-II | Old | Combination-I |
| 2 | PHY-114 | Physics Lab-II | Old | Combination-I |
| 2 | PST-111 | Pakistan Studies | Old | Combination-I |
| 2 | ENG-112 | English-II (Academic Reading and Writing) | Old | Combination-II |
| 2 | MATH-103 | Mathematics A-II [Plane Curves & Analytic Geometry] | Old | Combination-II |
| 2 | MATH-104 | Mathematics B-II [Mechanics (II)] | Old | Combination-II |
| 2 | MATH-105 | Discrete Mathematics | Old | Combination-II |
| 2 | PST-111 | Pakistan Studies | Old | Combination-II |
| 2 | STAT-103 | Statistics-II | Old | Combination-II |
| 2 | STAT-104 | Statistics Lab-II | Old | Combination-II |
| 3 | GENG-201 | Expository Writing | New | |
| 3 | GPST-201 | Pakistan Studies. | New | |
| 3 | HQ-003 | Tarjuma-e-Quran | New | |
| 3 | MATH-201 | Multivariable Calculus | New | |
| 3 | MATH-202 | Ordinary Differential Equations | New | |
| 3 | MATH-203 | Number Theory | New | |
| 3 | NPHY-120 | Introduction to Physics(NS) | New | |
| 3 | ENG-211 | English-III (Communication Skills) | Old | Combination-I |
| 3 | MATH-201 | Mathematics A-III [Linear Algebra] | Old | Combination-I |
| 3 | MATH-202 | Mathematics B-III [Calculus (II)] | Old | Combination-I |
| 3 | MATH-205 | Graph Theory | Old | Combination-I |
| 3 | PHY-211 | Physics-III | Old | Combination-I |
| 3 | PHY-212 | Physics Lab-III | Old | Combination-I |
| 3 | ENG-211 | English-III (Communication Skills) | Old | Combination-II |
| 3 | MATH-201 | Mathematics A-III [Linear Algebra] | Old | Combination-II |
| 3 | MATH-202 | Mathematics B-III [Calculus (II)] | Old | Combination-II |
| 3 | MATH-205 | Graph Theory | Old | Combination-II |
| 3 | STAT-201 | Statistics-III | Old | Combination-II |
| 3 | STAT-202 | Statistics Lab-III | Old | Combination-II |
| 4 | GICT-201 | Applications of Information and Communication Technologies | New | |
| 4 | GQR-201 | Quantitative Reasoning (II) | New | |
| 4 | HQ-004 | Tarjuma-e-Quran | New | |
| 4 | MATH-204 | Real Analysis | New | |
| 4 | MATH-205 | Fundamentals of Mechanics | New | |
| 4 | MATH-206 | Group Theory | New | |
| 4 | ENG-212 | English-IV (English for Practical Aims) | Old | Combination-I |
| 4 | MATH-203 | Mathematics A-IV [Ordinary Differential Equations] | Old | Combination-I |
| 4 | MATH-204 | Mathematics B-IV [Metric Spaces & Group Theory] | Old | Combination-I |
| 4 | MATH-206 | Elementary Number Theory | Old | Combination-I |
| 4 | PHY-213 | Physics-IV | Old | Combination-I |
| 4 | PHY-214 | Physics Lab-IV | Old | Combination-I |
| 4 | SOC-211 | Introduction to Sociology | Old | Combination-I |
| 4 | ENG-212 | English-IV (English for Practical Aims) | Old | Combination-II |
| 4 | MATH-203 | Mathematics A-IV [Ordinary Differential Equations] | Old | Combination-II |
| 4 | MATH-204 | Mathematics B-IV [Metric Spaces & Group Theory] | Old | Combination-II |
| 4 | MATH-206 | Elementary Number Theory | Old | Combination-II |
| 4 | SOC-211 | Introduction to Sociology | Old | Combination-II |
| 4 | STAT-203 | Statistics-IV | Old | Combination-II |
| 4 | STAT-204 | Statistics Lab-IV | Old | Combination-II |
| 5 | HQ-005 | Tarjuma-e-Quran | New | |
| 5 | MATH-301 | Complex Analysis | New | |
| 5 | MATH-302 | Classical Mechanics | New | |
| 5 | MATH-303 | Linear Algebra | New | |
| 5 | MATH-304 | Partial Differential Equations | New | |
| 5 | MATH-305 | Computational Tools | New | |
| 5 | MATH-306 | Topology | New | |
| 5 | ELEC-S5-1 | Group Theory-I MATH -302 | Old | Combination-I |
| 5 | ELEC-S5-2 | Complex Analysis-I MATH -303 | Old | Combination-I |
| 5 | ELEC-S5-3 | Vector and Tensor Analysis MATH -304 | Old | Combination-I |
| 5 | ELEC-S5-4 | Topology MATH -305 | Old | Combination-I |
| 5 | ELEC-S5-5 | Differential Geometry MATH -306 | Old | Combination-I |
| 5 | MATH-301 | Real Analysis –I | Old | Combination-I |
| 5 | ELEC-S5-1 | Group Theory-I MATH -302 | Old | Combination-II |
| 5 | ELEC-S5-2 | Complex Analysis-I MATH -303 | Old | Combination-II |
| 5 | ELEC-S5-3 | Vector and Tensor Analysis MATH -304 | Old | Combination-II |
| 5 | ELEC-S5-4 | Topology MATH -305 | Old | Combination-II |
| 5 | ELEC-S5-5 | Differential Geometry MATH -306 | Old | Combination-II |
| 5 | MATH-301 | Real Analysis –I | Old | Combination-II |
| 6 | HQ-006 | Tarjuma-e-Quran | New | |
| 6 | MATH-307 | Advanced Analysis | New | |
| 6 | MATH-308 | Tensor Analysis | New | |
| 6 | MATH-309 | Rings and Modules | New | |
| 6 | MATH-310 | Methods of Mathematical Physics | New | |
| 6 | MATH-311 | Mathematical Computing with Python | New | |
| 6 | ELEC-S6-1 | Rings and Vector Spaces MATH -308 | Old | Combination-I |
| 6 | ELEC-S6-2 | Complex Analysis – II MATH -309 | Old | Combination-I |
| 6 | ELEC-S6-3 | Mechanics MATH -310 | Old | Combination-I |
| 6 | MATH-307 | Real Analysis –II | Old | Combination-I |
| 6 | MATH-311 | Functional Analysis-I | Old | Combination-I |
| 6 | MATH-312 | Ordinary Differential Equations | Old | Combination-I |
| 6 | ELEC-S6-1 | Rings and Vector Spaces MATH -308 | Old | Combination-II |
| 6 | ELEC-S6-2 | Complex Analysis – II MATH -309 | Old | Combination-II |
| 6 | ELEC-S6-3 | Mechanics MATH -310 | Old | Combination-II |
| 6 | MATH-307 | Real Analysis –II | Old | Combination-II |
| 6 | MATH-311 | Functional Analysis-I | Old | Combination-II |
| 6 | MATH-312 | Ordinary Differential Equations | Old | Combination-II |
| 7 | HQ-007 | Tarjuma-e-Quran | New | |
| 7 | INTE-401 | Fieldwork / Intership | New | |
| 7 | MATH-401 | Functional Analysis | New | |
| 7 | MATH-402 | Differential Geometry | New | |
| 7 | MATH-403 | Numerical Analysis | New | |
| 7 | XXX-XXX | Interdisciplinary | New | |
| 7 | XXX-XXX-2 | Interdisciplinary | New | |
| 7 | MATH-401 | Set Theory | Old | Combination-I |
| 7 | MATH-402 | Partial Differential Equations | Old | Combination-I |
| 7 | MATH-403 | Numerical Analysis-I | Old | Combination-I |
| 7 | MATH-404 | Mathematical Statistics-I | Old | Combination-I |
| 7 | MATH-405 | Fortran Programming | Old | Combination-I |
| 7 | MATH-406 | Group Theory-II | Old | Combination-I |
| 7 | MATH-407 | Ring Theory | Old | Combination-I |
| 7 | MATH-408 | Number Theory-I | Old | Combination-I |
| 7 | MATH-409 | Quantum Mechanics-I | Old | Combination-I |
| 7 | MATH-410 | Analytical Dynamics | Old | Combination-I |
| 7 | MATH-411 | Electromagnetic Theory-I | Old | Combination-I |
| 7 | MATH-412 | Operations Research-I | Old | Combination-I |
| 7 | MATH-413 | Theory of Approximation and Splines-I | Old | Combination-I |
| 7 | MATH-414 | Functional Analysis- II | Old | Combination-I |
| 7 | MATH-415 | Fluid Mechanics-I | Old | Combination-I |
| 7 | MATH-401 | Set Theory | Old | Combination-II |
| 7 | MATH-402 | Partial Differential Equations | Old | Combination-II |
| 7 | MATH-403 | Numerical Analysis-I | Old | Combination-II |
| 7 | MATH-404 | Mathematical Statistics-I | Old | Combination-II |
| 7 | MATH-405 | Fortran Programming | Old | Combination-II |
| 7 | MATH-406 | Group Theory-II | Old | Combination-II |
| 7 | MATH-407 | Ring Theory | Old | Combination-II |
| 7 | MATH-408 | Number Theory-I | Old | Combination-II |
| 7 | MATH-409 | Quantum Mechanics-I | Old | Combination-II |
| 7 | MATH-410 | Analytical Dynamics | Old | Combination-II |
| 7 | MATH-411 | Electromagnetic Theory-I | Old | Combination-II |
| 7 | MATH-412 | Operations Research-I | Old | Combination-II |
| 7 | MATH-413 | Theory of Approximation and Splines-I | Old | Combination-II |
| 7 | MATH-414 | Functional Analysis- II | Old | Combination-II |
| 7 | MATH-415 | Fluid Mechanics-I | Old | Combination-II |
| 8 | CAPP-401 | Capstone Project | New | |
| 8 | HQ-008 | Tarjuma-e-Quran | New | |
| 8 | MATH-404 | Operations Research | New | |
| 8 | MATH-405 | Analytical Dynamics | New | |
| 8 | MATH-406 | Numerical Methods with Computer Programming | New | |
| 8 | XXX-XXX-3 | Interdisciplinary | New | |
| 8 | XXX-XXX-4 | Interdisciplinary | New | |
| 8 | MATH-416 | Measure Theory and Lebesgue Integration | Old | Combination-I |
| 8 | MATH-417 | Methods of Mathematical Physics | Old | Combination-I |
| 8 | MATH-418 | Numerical Analysis-II | Old | Combination-I |
| 8 | MATH-419 | Mathematical Statistics-II | Old | Combination-I |
| 8 | MATH-421 | Computer Applications | Old | Combination-I |
| 8 | MATH-422 | Group Theory-III | Old | Combination-I |
| 8 | MATH-423 | Theory of Modules | Old | Combination-I |
| 8 | MATH-424 | Number Theory-II | Old | Combination-I |
| 8 | MATH-425 | Quantum Mechanics-II | Old | Combination-I |
| 8 | MATH-426 | Special theory of Relativity | Old | Combination-I |
| 8 | MATH-427 | Electromagnetic Theory-II | Old | Combination-I |
| 8 | MATH-428 | Operations Research-II | Old | Combination-I |
| 8 | MATH-429 | Theory of Approximation and Splines-II | Old | Combination-I |
| 8 | MATH-430 | Functional Analysis-III | Old | Combination-I |
| 8 | MATH-431 | Fluid Mechanics-II | Old | Combination-I |
| 8 | MATH-416 | Measure Theory and Lebesgue Integration | Old | Combination-II |
| 8 | MATH-417 | Methods of Mathematical Physics | Old | Combination-II |
| 8 | MATH-418 | Numerical Analysis-II | Old | Combination-II |
| 8 | MATH-419 | Mathematical Statistics-II | Old | Combination-II |
| 8 | MATH-421 | Computer Applications | Old | Combination-II |
| 8 | MATH-422 | Group Theory-III | Old | Combination-II |
| 8 | MATH-423 | Theory of Modules | Old | Combination-II |
| 8 | MATH-424 | Number Theory-II | Old | Combination-II |
| 8 | MATH-425 | Quantum Mechanics-II | Old | Combination-II |
| 8 | MATH-426 | Special theory of Relativity | Old | Combination-II |
| 8 | MATH-427 | Electromagnetic Theory-II | Old | Combination-II |
| 8 | MATH-428 | Operations Research-II | Old | Combination-II |
| 8 | MATH-429 | Theory of Approximation and Splines-II | Old | Combination-II |
| 8 | MATH-430 | Functional Analysis-III | Old | Combination-II |
| 8 | MATH-431 | Fluid Mechanics-II | Old | Combination-II |
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