Scheme of Study

Scheme of Study:

While developing the scheme of studies of BS Mathematics, we have followed the latest curriculum design of BS Mathematics of Higher Education Commission (HEC), Pakistan. Moreover, we have taken guidelines from the concerned authorities of mathematics department at Quid- Azam University, Islamabad and International Islamic University Islamabad. The minimum requirement of BS (Mathematics) is 128 credit hours of study spread over eight semesters. The domains and the number of courses and their credit hours assigned to these domains are as follows.

 

Domains

 

Number of

Courses

Number of

Credit Hours

Remarks

Compulsory Requirements

9

25

ANNEX 1

General Courses

7

21

ANNEX 2

Discipline Specific Foundation Courses

10

33

ANNEX 3

Elective Courses within the

Major

4

12

ANNEX 4

Major Courses including

Research Project

11+ (Projects)

37

ANNEX 5

 

41+ Projects

128

 

 

 

List of Courses:

ANNEX 1

 

 

 

ANNEX 2

 

 

ANNEX 3

                       

 

ANNEX 4

 

 

ANNEX 5

 

 

Title

Cr. Hr

Title

Cr. Hr

Title

Cr. Hr

Title

Cr. hr

Title

Cr. Hr

English-I

(Functional)

3

Software packages

3

Calculus-II

 

4

E-1

3

Real

Analysis- I

 

3

Introduction to Computer

3

Statistics

3

Calculus-II

 

3

E-2

3

Real

Analysis- II

 

3

Islamic Studies/Ethics

2

Computer Programming

3

Algebra-I

 

3

E-3

3

Mathematical Method

3

Pakistan Studies

 

3

G-1

3

Algebra-II

 

3

E-4

3

Number Theory

3

Elements of

Set Theory

and

Mathematical

Logic

 

2

G-2

3

Calculus-III

 

 

4

 

 

Topology

 

 

Project

3

 

 

3

English- II

(Communication and Skills)

3

G-3

3

Complex Analysis

3

 

 

Differential

Geometry

3

English-III

(Technical Writing and Presentation Skills)

3

G-4

3

Ordinary

Differential

Equations

3

 

 

Numerical

Analysis

 

4

Discrete Mathematics

3

 

 

Affine and Euclidian Geometry

3

 

 

Partial Differential Equation

3

Any Foreign

Language

3

 

 

Linear Algebra

4

 

 

Probability Theory

3

 

 

 

 

Integral Equation

3

 

 

Classical Mechanics

3

 

 

 

 

 

 

 

 

Functional Analysis

3

Total

25

 

21

 

33

 

12

 

37

Proposed Scheme of Study:

Semester 1 (18 Cr. Hrs.)

Cr. Hrs

Semester 2 (17 Cr. Hrs.)

Cr. Hrs

English-I

(Functional)

3

Statistics

3

Introduction to Computer

3

Pakistan Studies

2

Calculus-I

4

Calculus-II

 

3

G-1 (Chemistry)

3

G-2 (Environmental Sciences)

3

Islamic Studies/Ethics

2

Software packages

2+1

Elements of Set Theory

And Mathematical Logic

 

3

English- II

(Communication and Skills)

3

 

 

 

Semester 3 (16 Cr. Hrs.)

Cr. Hrs

Semester 4 (16 Cr. Hrs.)

Cr. Hrs

Computer Programming

2+1

Linear Algebra 

3+1

G-3 ( Economics)

3

Affine and Euclidian Geometry

3

Calculus-III

4

Any Foreign Language

3

Algebra-3

3

Discrete Mathematics

3

English-III

(Technical Writing and Presentation Skills)

3

G-4  ( Biology)

3

 

Semester 5 (15 Cr. Hrs.)

Cr. Hrs

Semester 6 (15 Cr. Hrs.)

Cr. Hrs

Ordinary

Differential

Equations

3

Real Analysis-I

 

3

Real

Analysis- I

 

3

Functional Analysis

3

Topology

 

3

Complex Analysis

3

Differential

Geometry

3

Partial Differential Equation

3

Algebra- II (Rings and Fields)

3

Classical Mechanics

3

 

 

Semester 7 (16 Cr. Hrs.)

Cr. Hrs

Semester 8 (15 Cr. Hrs.)

Cr. Hrs

Number Theory

3

Integral Equation

3

Numerical

Analysis

 

3+1

Probability Theory

3

E-1 (Fluid Mechanics)

 

3

E-3 (Operation Research)

3

Mathematical Method

3

E-4 (Computational Fluid Dynamics)

3

E-2 (Special Relativity)

 

3

Project

3

 

General Courses for BS Mathematics:

The courses G-1, G-2, G-3 and G-4 may be chosen from following titles. This list may be extended with consent of Board of Studies keeping in view the availability of expertise in the University.

Environmental Sciences

Philosophy

Psychology

Accounting

Chemistry

Physics-I

Physics-II 

Biology

Sociology

Economics

 

 

Electives for BS (Mathematics):

Elective courses may choose from the following specialization.

Pure Mathematics

Applied Mathematics

Financial Mathematics

·         Measure Theory

·         Algebraic

·         Topology

·         Galois Theory

·         Lie Groups

·         Rings and Modules

·         Projective Geometry

·         Riemannian Geometry

·         History of Mathematics

·         Pointless Topology

·         Econometrics

·         Advanced group

·         Theory Lie Algebra

·         Optimization Theory

·         Axiomatic Set Theory

·         Category Theory

·         Statistical Inferences

 

·         Convex Analysis

 

·         Applied Algebra

 

·         Operations Research

 

·         Stochastic Processes

 

·         Homological Algebra

       

·         Electromagnetism

·         Fluid Mechanics

·         Analytical Dynamics

·         Quantum Mechanics

·         General Relativity

·         Dynamical Systems

·         Computational Fluid Dynamics

·         History of Mathematics

·         Econometrics

·         Special Relativity

·         Convex Analysis

·         Applied Algebra

·         Bio Mathematics

·         Operations Research

·         stochastic Processes

·         Regression Models

·         Multivariate Analysis

·         Financial Mathematics

·         Tensor Analysis

·         Optimization Theory

·         Business Mathematics

·         Computational Methods in Finance

·         Stochastic Processes

·         Probability and Measure

·         Stochastics for Derivatives Modeling

·         Stochastic Analysis

·         The Mathematics of the Black and Scholes Theory

·         Preferences, Optimal Portfolio Choice, and Equilibrium

·         Introduction to Markov Processes and Their Applications

 

·         Quantifying Risk Modeling and Alternative Markets

 

·         Forecasting Financial Time Series

 

·         Quantitative Methods for Finance and Risk