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-111Islamiat / Ethics2 cr.
ENG-111English-I (Language in Use)3 cr.
COMP-111Computer (Introduction and Applications)3 cr.
MATH-101Mathematics A-I [Calculus (I)]4 cr.
MATH-102Mathematics B-I [ Vectors & Mechanics (I)]4 cr.
PHY-111Physics-I3 cr.
PHY -112Physics Lab-I1 cr.
  Total= 20 cr.

 

B.S. Mathematics Semester II
PST-111Pakistan Studies2 cr.
ENG-112English-II (Academic Reading and Writing)3 cr.
PHY -113Physics -II3 cr.
PHY -114Physics Lab-II1 cr.
MATH-103Mathematics A-II [ Plane Curves & Analytic Geometry ]4 cr.
MATH-104Mathematics B-II [ Mechanics (II) ]4 cr.
MATH-105Discrete Mathematics2 cr.
  Total= 19 cr.

 

B.S. Mathematics Semester III
ENG-211English-III (Communication Skills)3 cr.
PHY -211Physics -III3 cr.
PHY -212Physics Lab-III1 cr.
MATH-201Mathematics A-III [ Linear Algebra]4 cr.
MATH-202Mathematics B-III [ Calculus (II)]4 cr.
MATH-205Graph Theory2 cr.
  Total= 17 cr.

 

B.S. Mathematics Semester IV
ENG-212English-IV (English for Practical Aims)3 cr.
PHY -213Physics -IV3 cr.
PHY -214Physics Lab-IV1 cr.
MATH-203Mathematics A-IV [ Ordinary Differential Equations]4 cr.
MATH-204Mathematics B-IV [ Metric Spaces & Group Theory]4 cr.
SOC-211Introduction to Sociology3 cr.
MATH-206Elementary Number Theory2 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-111Islamiat / Ethics2 cr.
ENG-111English-I (Language in Use)3 cr.
COMP-111Computer (Introduction and Applications)3 cr.
MATH-101Mathematics A-I [ Calculus (I)]4 cr.
MATH-102Mathematics B-I [ Vectors & Mechanics (I)]4 cr.
STAT-101Statistics-I3 cr.
STAT-102Statistics Lab-I1 cr.
  Total= 20 cr.

 

B.S. Mathematics Semester II
PST-111Pakistan Studies2 cr.
ENG-112English-II (Academic Reading and Writing)3 cr.
STAT-103Statistics-II3 cr.
STAT-104Statistics Lab-II1 cr.
MATH-103Mathematics A-II [Plane Curves & Analytic Geometry ]4 cr.
MATH-104Mathematics B-II [ Mechanics (II) ]4 cr.
MATH-105Discrete Mathematics2 cr.
  Total= 19 cr.

 

B.S. Mathematics Semester III
ENG-211English-III (Communication Skills)3 cr.
STAT-201Statistics-III3 cr.
STAT-202Statistics Lab-III1 cr.
MATH-201Mathematics A-III [ Linear Algebra]4 cr.
MATH-202Mathematics B-III [ Calculus (II)]4 cr.
MATH-205Graph Theory2 cr.
  Total= 17 cr.

 

B.S. Mathematics Semester IV
ENG-212English-IV (English for Practical Aims)3 cr.
STAT-203Statistics-IV3 cr.
STAT-204Statistics Lab-IV1 cr.
MATH-203Mathematics A-IV [ Ordinary Differential Equations]4 cr.
MATH-204Mathematics B-IV [ Metric Spaces & Group Theory]4 cr.
SOC-211Introduction to Sociology3 cr.
MATH-206Elementary Number Theory2 cr.
  Total= 20 cr.

 

 

 

B.S. Mathematics Semester V
MATH-301Real Analysis –I3 cr.
MATH-302Group Theory-I3 cr.
MATH-303Complex Analysis-I3 cr.
MATH-304Vector and Tensor Analysis3 cr.
MATH-305Topology3 cr.
MATH-306Differential Geometry3 cr.
  Total = 18 cr.

 

B.S. Mathematics Semester VI
MATH-307Real Analysis –II3 cr.
MATH-308Rings and Vector Spaces3 cr.
MATH-309Complex Analysis – II3 cr.
MATH-310Mechanics3 cr.
MATH-311Functional Analysis-I3 cr.
MATH-312Ordinary Differential Equations3 cr.
  Total = 18 cr.

 

B.S. Mathematics Semester VII
MATH-401Set Theory3 cr.
MATH-402Partial Differential Equations3 cr.
MATH-403Numerical Analysis-I3 cr.
Any Two of the following:
MATH-404Mathematical Statistics-I3 cr.
MATH-405Fortran Programming3 cr.
MATH-406Group Theory-II3 cr.
MATH-407Ring Theory3 cr.
MATH-408Number Theory-I3 cr.
MATH-409Quantum Mechanics-I3 cr.
MATH-410Analytical Dynamics3 cr.
MATH-411Electromagnetic Theory-I3 cr.
MATH-412Operations Research-I3 cr.
MATH-413Theory of Approximation and

Splines-I

3 cr.
MATH-414Functional Analysis- II3 cr.
MATH-415Fluid Mechanics-I3 cr.
  Total = 15 cr.

 

 

B.S. Mathematics Semester VIII
MATH-416Measure Theory and Lebesgue Integration3 cr.
MATH-417Methods of Mathematical

Physics

3 cr.
MATH-418Numerical Analysis-II3 cr.
Any Two of the following:
MATH-419Mathematical Statistics-II3 cr.
MATH-420Computer Applications3 cr.
MATH-421Group Theory-III3 cr.
MATH-422Theory of Modules3 cr.
MATH-423Number Theory-II3 cr.
MATH-424Quantum Mechanics-II3 cr.
MATH-425Special Theory of Relativity3 cr.
MATH-426Electromagnetic Theory-II3 cr.
MATH-427Operations Research-II3 cr.
MATH-428Theory of Approximation and Splines-II3 cr.
MATH-429Functional Analysis- III3 cr.
MATH-430Fluid Mechanics-II3 cr.
  Total = 15 cr.

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