Iqra — Read, in the name of your Lord.

Government Graduate College Mandi Bahauddin

BS Mathematics

About the Program

An intensive program covering pure and applied mathematics, logical reasoning, and problem-solving skills for academia and industry.

Head of Department: Prof. Abdul Manan

Duration: 4 Years (8 Semesters)

Eligibility: F.Sc Pre-Engineering / Equivalent


Course Outlines

Outline: 0000 - 0000

Semester 1

Course Code Course Title Credit Hours Description
COMP-111 Computer (Introduction and Applications) 3 Core course for BS English Literature program (COMP-111)
HQ-001 Translation of Holy Quran 0
PHY-111 Physics-I 3 Basic principles of mechanics and thermodynamics
PHY -112 Physics Lab-I 1 Practical experiments in basic physics
MATH-102 Mathematics B-I [Vectors & Mechanics (I)] 4 Vector algebra and introductory classical mechanics
MATH-101 Mathematics A-I [Calculus (I)] 4 Introduction to limits, continuity, and derivatives
ISE-111 Islamiat/Ethics 2 Core course for BS English Literature program (ISE-111)
ENG-111 English-I (Language in Use) 3 Core course for BS English Literature program (ENG-111)

Semester 2

Course Code Course Title Credit Hours Description
HQ-002 Translation of Holy Quran 1
PHY -114 Physics Lab-II 1 Practical experiments in electricity and magnetism
PHY -113 Physics -II 3 Study of electromagnetism and wave phenomena
PST-111 Pakistan Studies 2 Core course for BS English Literature program (PST-111)
MATH-104 Mathematics B-II [Mechanics (II)] 4 Advanced concepts in classical mechanics
MATH-103 Mathematics A-II [Plane Curves & Analytic Geometry] 4 Study of 2D geometry and coordinate systems
ENG-112 English-II (Academic Reading and Writing) 3 Core course for BS English Literature program (ENG-112)
MATH-105 Discrete Mathematics 2 Study of mathematical structures that are fundamentally discrete

Semester 3

Course Code Course Title Credit Hours Description
HQ-003 Translation of Holy Quran 0
PHY -212 Physics Lab-III 1 Advanced physics laboratory experiments
PHY -211 Physics -III 3 Introduction to modern physics and optics
MATH-202 Mathematics B-III [Calculus (II)] 4 Advanced calculus including integration and multivariable functions
MATH-201 Mathematics A-III [Linear Algebra] 4 Study of vector spaces, matrices, and linear transformations
MATH-205 Graph Theory 2 Introduction to graphs, networks, and their properties
ENG-211 English-III (Communication Skil) 3 Advanced communication and presentation skills

Semester 4

Course Code Course Title Credit Hours Description
HQ-004 Translation of Holy Quran 1
PHY -214 Physics Lab-IV 1 Practical applications of modern physics
PHY -213 Physics -IV 3 Concepts of quantum mechanics and solid-state physics
MATH-204 Mathematics B-IV [Metric Spaces & Group Theory] 4 Introduction to metric spaces and algebraic groups
MATH-203 Mathematics A-IV [Ordinary Differential Equations] 4 Methods for solving ordinary differential equations
SOC-211 Introduction to Sociology 3 Core course for BS English Literature program (SOC-211)
ENG-212 English-IV (English for practical Aims) 3 English for practical and professional purposes
MATH-206 Elementary Number Theory 2 Properties and relationships of integers

Semester 5

Course Code Course Title Credit Hours Description
MATH-304 Vector and Tensor Analysis 3 Advanced vector calculus and tensor algebra
HQ-005 Translation of Holy Quran 0
MATH-305 Topology 3 Study of spatial properties preserved under continuous deformations
MATH-301 Real Analysis -I 3 Rigorous study of real numbers and continuous functions
MATH-302 Group Theory-I 3 Fundamental concepts of algebraic groups and symmetry
MATH-306 Differential Geometry 3 Application of calculus to curves and surfaces
MATH-303 Complex Analysis-I 3 Calculus of complex-valued functions

Semester 6

Course Code Course Title Credit Hours Description
HQ-006 Translation of Holy Quran 1
MATH-308 Rings and Vector Spaces 3 Study of algebraic rings, fields, and vector spaces
MATH-307 Real Analysis -II 3 Advanced topics in real analysis and integration
MATH-312 Ordinary Differential Equations 3 Advanced techniques for differential equations
MATH-310 Mechanics 3 Mathematical formulation of classical mechanics
MATH-311 Functional Analysis-I 3 Study of vector spaces endowed with topological structure
MATH-309 Complex Analysis - II 3 Advanced topics in complex function theory

Semester 7

Course Code Course Title Credit Hours Description
MATH-412 Operations Research-I 3 Optimization and mathematical decision making
MATH-402 Partial Differential Equations 3 Solving equations involving partial derivatives
MATH-409 Quantum Mechanics-I 3 Mathematical foundations of quantum theory
MATH-407 Ring Theory 3 In-depth study of algebraic rings and ideals
MATH-401 Set Theory 3 Formal study of sets and their properties
MATH-413 Theory of Approximation and Splines-I 3 Methods for function approximation
HQ-007 Translation of Holy Quran 0
MATH-403 Numerical Analysis-I 3 Numerical methods for solving mathematical problems
MATH-408 Number Theory-I 3 Advanced study of integers and prime numbers
MATH-410 Analytical Dynamics 3 Advanced classical mechanics using Lagrangian and Hamiltonian formulations
MATH-411 Electromagnetic Theory-I 3 Mathematical modeling of electric and magnetic fields
MATH-415 Fluid Mechanics-I 3 Mathematical modeling of fluid flow
MATH-405 Fortran Programming 3 Scientific programming using FORTRAN
MATH-414 Functional Analysis- II 3 Advanced topics in functional analysis and operator theory
MATH-406 Group Theory-II 3 Advanced topics in group theory
MATH-404 Mathematical Statistics-I 3 Probability theory and statistical inference

Semester 8

Course Code Course Title Credit Hours Description
MATH-418 Numerical Analysis-II 3 Advanced numerical computation methods
MATH-427 Operations Research-II 3 Advanced linear programming and optimization models
MATH-424 Quantum Mechanics-II 3 Advanced applications of quantum mechanics
MATH-425 Special Theory of Relativity 3 Mathematical framework of special relativity
MATH-428 Theory of Approximation and Splines-II 3 Advanced spline theory and applications
MATH-422 Theory of Modules 3 Study of algebraic modules over rings
MATH-423 Number Theory-II 3 Analytic and algebraic number theory
MATH-417 Methods of Mathematical Physics 3 Mathematical techniques used in theoretical physics
MATH-416 Measure Theory and Lebesgue Integration 3 Advanced integration theory and measure spaces
MATH-419 Mathematical Statistics-II 3 Advanced statistical modeling and analysis
MATH-421 Group Theory-III 3 Specialized topics in group theory
MATH-429 Functional Analysis- III 3 Specialized topics in spectral theory and functional analysis
MATH-430 Fluid Mechanics-II 3 Advanced fluid dynamics and viscous flow
MATH-426 Electromagnetic Theory-II 3 Advanced topics in electrodynamics
MATH-420 Computer Applications 3 Applied computational mathematics
HQ-008 Translation of Holy Quran 1
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