Offered by the Department of Mathematics
BSc Honours in Applied Mathematics is designed to provide an adequate foundation for advanced academic and professional activities in the field of applied mathematics. This programme intends to provide a deep and broad understanding of applied mathematics and targets students having sound theoretical and practicable interests. It provides a solid preparation for higher studies & research in applied mathematics. Further, this programme covers a broad spectrum of mathematical topics, from abstract methods to numerical computation/ mathematical modeling/ computer simulation, and emphasises their application to real-world problems. Degree programme is designed to develop logical, analytic, programming and data analysis abilities, together with the presentation and practical problem-solving skills.
Intended Learning Outcomes
At the end of the 04 years (SLQF Level 6) BSc Honours in Applied Mathematics (Research Orientation) holders should be able to:
- demonstrate thorough and systematic understanding of advanced concepts in the field of applied mathematics.
- demonstrate practical skills in mathematics, mathematical modeling, computer simulation and related disciplines, through the use of established techniques and development of new techniques.
- develop hypotheses, construct and sustain arguments in the context of research and investigation.
- eloquently communicate & disseminate knowledge, information and ideas to academic and industry-oriented audiences.
- practice professionalism and uphold ethical standards.
- function independently as well as interdependently.
- demonstrate leadership skills.
- express emotional and intellectual maturity in a global setting.
- be prepared to carry out independent and further learning.
Coordinator
Dr. Yashika Jayathunga
yashika@maths.cmb.ac.lk
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 AM and PM core courses.
Course Modules
(L – No. of Lecture hours, P – No. of Practical hours, O – Optional, X – Compulsory)
* Will not be considered when calculating GPA
Level 3
Semester | Course Code | Title | No. of Credits | No. of Hours |
|
Semester I | AM 3031 | Mathematical Methods I | 3 | 45 L | X |
Semester I | AM 3032 | Numerical Methods and Scientific Computing | 2 | 60 P | X |
Semester I | AM 3033 | Applied Dynamical Systems | 3 | 30 L 30 P | X |
Semester I | AM 3035 | Discrete Applied Mathematics## | 3 | 30 L 30 P | O |
Semester I | PM 3033 | Real Analysis I | 3 | 45 L | X |
Semester I | PM 3036 | Topology I# | 3 | 45 L | O |
Semester II | AM 3034 | Distribution & Random Number Theory | 3 | 30 L 30 P | X |
Semester II | AM 3036 | Applied Graph Theory ## | 3 | 30 L 30 P | O |
Semester II | AM 3037 | Mathematical Methods II | 3 | 45 L | X |
Semester II | AM 3038 | Mathematical Modeling | 4 | 120 P | X |
Semester II | PM 3037 | Topology II # | 3 | 45 L | X |
Semester II | PM 3034 | Real Analysis II | 3 | 45 L | X |
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 4031 | Applied Mathematics Research Project | 8 | 240 P | X |
Semester I | AM 4032 | Advanced Optimization | 3 | 45 L | O |
Semester I | AM 4037 | Applied Functional Analysis | 3 | 45 L | X |
Semester I | AM 4039 | Agent Based Models ## | 3 | 90 P | O |
Semester I | AM 4040 | Machine Learning and Simulation Models ## | 4 | 120 P | O |
Semester I | PM 4034 | Measure Theory and Integration # | 4 | 60 L | O |
Semester I | ST 4031 | Stochastic Processes and Applications | 3 | 45 L | O |
Semester II | AM 4038 | Stochastic Calculus | 3 | 30 L 30P | O |
Semester II | AM 4033 | Non- Linear Programming | 3 | 45 L | O |
Semester II | PM 4035 | Functional Analysis # | 4 | 60 L | O |
Semester II | EC 4031 | Industrial Training | 4* | 120 P | O |
Note:
- Level III students are required to select either the pair of course units PM 3036 and PM 3037 (marked with #) or the pair of course units AM 3035 and AM 3036 (marked with ##).
- Level IV students are required to select either the pair of course units PM 4034 and PM 4035 (marked with #) or the pair of course units AM 4039 and AM 4040 (marked with ##).