Mathematics and Its Applications

Course Structure

1. Mathematical Inquiry and Communication
2. Geometric Integration
3. Poisson Algebras and Combinatorics
4. Applied Algebraic Topology
5. Symmetries, Groups and Invariants
6. Diagram Algebras
7. Quantum Physics
8. Mathematics and Music
9. Applied Differential Geometry
10. Nonlinear Analysis and Optimisation
11. Introduction to Functional Analysis
12. Algebraic Curves in Nature
13. Basic Differential Algebra
14. Games and Networks
15. Discrete Mathematics
16. Nonlinear Waves and Solitons
17. Calculus of Variations
18. Complex Analysis
19. Polynomials in Several Variables
20. Groups and Representations
21. Elements of Abstract Analysis
22. Numerical Solution of Differential Equations
23. Nonlinear Systems and Mathematical Biology
24. Dissertation
25. provide a Master\x92s level mathematical education of excellent quality, informed by research and scholarship
26. provide an opportunity to enhance your mathematical creativity, problem-solving skills and advanced computational skills
27. provide an opportunity for you to enhance your oral communication, project design and basic research skills
28. provide an opportunity for you to experience and engage with a creative, research-active professional mathematical environment
29. produce graduates of value to the region and nation by offering you opportunities to learn about mathematics in the context of its application.
30. the applications of mathematical theories, methods and techniques
31. the power of generalisation, abstraction and logical argument
32. the processes and pitfalls of mathematical approximation
33. nonlinear phenomena
34. geometric thinking
35. non-commutative phenomena
36. algebraic thinking
37. analytic thinking
38. mathematical computation.
39. problem solving: the ability to work with self-direction and originality in tackling and solving problems, as well as an ability to provide an analytic approach to mathematical problem-solving
40. independent critical reading of technical material
41. independent creative mathematical inquiry: to develop an understanding of how techniques of research and enquiry are used to create and interpret mathematical knowledge, to show initiative in the application of knowledge
42. logical argument: the ability to formulate detailed rigorous arguments and to deal with complex issues both systematically and creatively.
43. mathematical typesetting (LaTeX)
44. the ability to speak with clarity to both a mathematical and a non-specialist audience
45. symbolic computation (eg Maple)
46. numerical computation (eg Matlab).
47. oral and written communication: the ability to communicate technical material, ideas and results to specialist and non-specialist audiences
48. project design: to independently plan, implement and complete a project to professional level
49. basic research: to be able to select and critically evaluate appropriate material from a variety of sources, be able to use appropriate IT tools, be able to write a literature survey, to investigate a mathematical topic in-depth
50. organisational, decision-making, self-management and time-management skills, including the ability to manage your own learning and self-development, and to plan and implement tasks autonomously.