 SYLLABUS FOR 4 YEAR B.S. MATHEMATICS (SEMESTER SYSTEM PROGRAMME)

Mathematics is the language of science and engineering. It is also a powerful tool for problem solving, reasoning, and communicating ideas. Mathematics is the general term for a wide range of topics including algebra, geometry, trigonometry, statistics and set theory to name a few. Mathematics is a subject that requires a lot of practice and patience. Students can use this guide as they work on their coursework to improve their understanding of mathematics. The following list contains some helpful resources to help students with their studies.

Here’s a list of some topics you’ll be learning as a mathematics major. Number Systems Functions and Graphs Differential Calculus Linear Algebra Abstract Algebra Statistics and Probability Calculus of Several Variables Real Analysis

## MATHEMATICS-A,             MATHEMATICS-B,            PHYSICS

Duration of Programme:                 4Years (Eight Semesters)

Requirement:                                    F.Sc./ICS/General Science (with Maths and Stats.) F.Sc./ICS (with Maths and Physics.)

Medium of instructions:                  English

Credit Hours:                                    76+66=142

 B.S. Mathematics Semester I ISE-111 Islamiat / Ethics 2 cr. ENG-111 English-I (Language in Use) 3 cr. COMP-111 Computer (Introduction and Applications) 3 cr. MATH-101 Mathematics A-I [Calculus (I)] 4 cr. MATH-102 Mathematics B-I [ Vectors & Mechanics (I)] 4 cr. PHY-111 Physics-I 3 cr. PHY -112 Physics Lab-I 1 cr. Total= 20 cr.

 B.S. Mathematics Semester II PST-111 Pakistan Studies 2 cr. ENG-112 English-II (Academic Reading and Writing) 3 cr. PHY -113 Physics -II 3 cr. PHY -114 Physics Lab-II 1 cr. MATH-103 Mathematics A-II [ Plane Curves & Analytic Geometry ] 4 cr. MATH-104 Mathematics B-II [ Mechanics (II) ] 4 cr. MATH-105 Discrete Mathematics 2 cr. Total= 19 cr.

 B.S. Mathematics Semester III ENG-211 English-III (Communication Skills) 3 cr. PHY -211 Physics -III 3 cr. PHY -212 Physics Lab-III 1 cr. MATH-201 Mathematics A-III [ Linear Algebra] 4 cr. MATH-202 Mathematics B-III [ Calculus (II)] 4 cr. MATH-205 Graph Theory 2 cr. Total= 17 cr.

 B.S. Mathematics Semester IV ENG-212 English-IV (English for Practical Aims) 3 cr. PHY -213 Physics -IV 3 cr. PHY -214 Physics Lab-IV 1 cr. MATH-203 Mathematics A-IV [ Ordinary Differential Equations] 4 cr. MATH-204 Mathematics B-IV [ Metric Spaces & Group Theory] 4 cr. SOC-211 Introduction to Sociology 3 cr. MATH-206 Elementary Number Theory 2 cr. Total= 20 cr.

Combination II

MATHEMATICS-A,             MATHEMATICS-B,           STATISTICS

Duration of Programme:                 4 Years (Eight Semesters)

Requirement:                                    F.Sc./ICS/General Science (with Maths and Stats.) F.Sc./ICS (with Maths and Physics.)

Medium of instructions:                  English

Credit Hours:                                    76+66=142

 B.S. Mathematics Semester I ISE-111 Islamiat / Ethics 2 cr. ENG-111 English-I (Language in Use) 3 cr. COMP-111 Computer (Introduction and Applications) 3 cr. MATH-101 Mathematics A-I [ Calculus (I)] 4 cr. MATH-102 Mathematics B-I [ Vectors & Mechanics (I)] 4 cr. STAT-101 Statistics-I 3 cr. STAT-102 Statistics Lab-I 1 cr. Total= 20 cr.

 B.S. Mathematics Semester II PST-111 Pakistan Studies 2 cr. ENG-112 English-II (Academic Reading and Writing) 3 cr. STAT-103 Statistics-II 3 cr. STAT-104 Statistics Lab-II 1 cr. MATH-103 Mathematics A-II [Plane Curves & Analytic Geometry ] 4 cr. MATH-104 Mathematics B-II [ Mechanics (II) ] 4 cr. MATH-105 Discrete Mathematics 2 cr. Total= 19 cr.

 B.S. Mathematics Semester III ENG-211 English-III (Communication Skills) 3 cr. STAT-201 Statistics-III 3 cr. STAT-202 Statistics Lab-III 1 cr. MATH-201 Mathematics A-III [ Linear Algebra] 4 cr. MATH-202 Mathematics B-III [ Calculus (II)] 4 cr. MATH-205 Graph Theory 2 cr. Total= 17 cr.

 B.S. Mathematics Semester IV ENG-212 English-IV (English for Practical Aims) 3 cr. STAT-203 Statistics-IV 3 cr. STAT-204 Statistics Lab-IV 1 cr. MATH-203 Mathematics A-IV [ Ordinary Differential Equations] 4 cr. MATH-204 Mathematics B-IV [ Metric Spaces & Group Theory] 4 cr. SOC-211 Introduction to Sociology 3 cr. MATH-206 Elementary Number Theory 2 cr. Total= 20 cr.

 B.S. Mathematics Semester V MATH-301 Real Analysis –I 3 cr. MATH-302 Group Theory-I 3 cr. MATH-303 Complex Analysis-I 3 cr. MATH-304 Vector and Tensor Analysis 3 cr. MATH-305 Topology 3 cr. MATH-306 Differential Geometry 3 cr. Total = 18 cr.

 B.S. Mathematics Semester VI MATH-307 Real Analysis –II 3 cr. MATH-308 Rings and Vector Spaces 3 cr. MATH-309 Complex Analysis – II 3 cr. MATH-310 Mechanics 3 cr. MATH-311 Functional Analysis-I 3 cr. MATH-312 Ordinary Differential Equations 3 cr. Total = 18 cr.

 B.S. Mathematics Semester VII MATH-401 Set Theory 3 cr. MATH-402 Partial Differential Equations 3 cr. MATH-403 Numerical Analysis-I 3 cr. Any Two of the following: MATH-404 Mathematical Statistics-I 3 cr. MATH-405 Fortran Programming 3 cr. MATH-406 Group Theory-II 3 cr. MATH-407 Ring Theory 3 cr. MATH-408 Number Theory-I 3 cr. MATH-409 Quantum Mechanics-I 3 cr. MATH-410 Analytical Dynamics 3 cr. MATH-411 Electromagnetic Theory-I 3 cr. MATH-412 Operations Research-I 3 cr. MATH-413 Theory of Approximation andSplines-I 3 cr. MATH-414 Functional Analysis- II 3 cr. MATH-415 Fluid Mechanics-I 3 cr. Total = 15 cr.

 B.S. Mathematics Semester VIII MATH-416 Measure Theory and Lebesgue Integration 3 cr. MATH-417 Methods of MathematicalPhysics 3 cr. MATH-418 Numerical Analysis-II 3 cr. Any Two of the following: MATH-419 Mathematical Statistics-II 3 cr. MATH-420 Computer Applications 3 cr. MATH-421 Group Theory-III 3 cr. MATH-422 Theory of Modules 3 cr. MATH-423 Number Theory-II 3 cr. MATH-424 Quantum Mechanics-II 3 cr. MATH-425 Special Theory of Relativity 3 cr. MATH-426 Electromagnetic Theory-II 3 cr. MATH-427 Operations Research-II 3 cr. MATH-428 Theory of Approximation and Splines-II 3 cr. MATH-429 Functional Analysis- III 3 cr. MATH-430 Fluid Mechanics-II 3 cr. Total = 15 cr.