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 and
Splines-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 Mathematical
Physics |
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. | ||