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.
Coordinator
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 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 |
