Offered by the Department of Mathematics

The BSc Honours (Research Orientation) degree programme in Mathematics intends to provide a deep and broad understanding of mathematics itself by focusing on understanding structures, patterns and conceptual relationships that lie in the core of mathematics. The core of the Mathematics honours degree programme consists of Algebra, Analysis and Topology/ Geometry which are traditionally considered as three main areas of Pure Mathematics.  Mathematics is a challenging intellectual pursuit which provides an enormous excitement and satisfaction. The ideas develop in pure mathematics underpin patterns and structures that appear in modern science and technology and hence it plays a vital role in the development of science and technology.

 The final year Pure Mathematics research project provides an opportunity for students to develop mathematical independence, experience open-ended inquiry and develop skills in speaking and writing about mathematics with high level sophistication. While the degree programme provides a solid preparation for further studies and research in both pure and applied mathematics, students have numerous opportunities of developing a range of skills such as critical thinking ability, creative problem solving ability and perseverance which are adaptable to diverse career options. 

Degree Aims

At the end of the 04 years (SLQF Level 6) BSc Honours in Mathematics (Research Orientation) holders should be able to:

  • demonstrate thorough and systematic understanding of advanced concepts in Mathematics.
  • demonstrate effective mathematical thinking and problem solving skills, through the use of established techniques and development of new techniques.
  • formulate problems carefully and precisely, deduce general principles from particular instances and reason logically to draw useful conclusions in the context of research and investigation.
  • eloquently communicate & disseminate mathematical ideas clearly and coherently  to audiences of varying mathematical sophistication.
  • function independently as well as interdependently
  • demonstrate leadership skills.
  • express emotional and intellectual maturity in a global setting.
  • learning and explore new mathematical knowledge independently.
Entry Requirements

To be eligible for this programme, a minimum GPA of 3.00 for AM core courses and GPA of 3.00 for PM core courses. Selection will be based upon the total weighted marks obtained for PM core courses.

Course Catalog

Please find more information in our course catalog.

Course Modules

(L – No. of Lecture hours, P – No. of Practical hours, O – Optional, X – Compulsory)

Level 3

Semester

Course Code

Title

No. of Credits

No. of Hours

 

Semester I

AM 3031

Mathematical Methods I

3

45 L

O

Semester I

AM 3033

Applied Dynamical Systems

3

30 L 30 P

O

Semester I

AM 3035

Discrete Applied Mathematics

3

30 L 30 P

O

Semester I

PM 3031

Linear Algebra

3

45 L

X

Semester I

PM 3033

Real Analysis I

3

45 L

X

Semester I

PM 3036

Topology I

3

 45 L

X

Semester II

AM 3036

Applied Graph Theory

3

30 L 30 P

O

Semester II

AM 3037

Mathematical Methods II 

3

45 L

O

Semester II

PM 3032

Group Theory

4

60 L

X

Semester II

PM 3034

Real Analysis II

3

45 L

X

Semester II

PM 3035

Complex Analysis

4

60 L

X

Semester II

PM 3037

Topology II

3

45 L

X

Semester II

PM 3038

Analysis in Several Dimensions

3

45 L

O

Semester II

EC 3031

Community Service

4*

120 P

X

Level 4

Semester

Course Code

Title

No. of Credits

No. of Hours

 

Semester I

AM 4032

Advanced Optimization

3

45 L

O

Semester I

PM 4031

Research Project 

8

240 P

X

Semester I

PM 4032

Commutative Algebra

4  

60 L

X

Semester I

PM 4034

Measure Theory and Integration

4

60 L

X

Semester I

PM 4036

Topology III

4

60 L

O

Semester II

AM 4038

Stochastic Calculus

3

30L 30P

O

Semester II

AM 4033  

Non- Linear Programming

3

45 L

O

Semester II

PM 4033

Field Theory and Galois Theory

4

60 L

X

Semester II

PM 4035

Functional Analysis

4

60 L

X

Semester II

PM 4037

Differential Geometry

4

60 L

O

Semester II

PM 4038

Number Theory 

4

60 L

O

Semester II

AM 4085

Quantum Computing

3

45 L

O