Useful links
Computational mathematics fulfils two distinct purposes within Mathematics. On the one hand the computer is a mathematician's laboratory in which to model problems too hard for analytical treatment and to test existing theories; on the other hand, computational needs both require and inspire the development of new mathematics. Computational methods are an essential part of the tool box of any mathematician. This unit will introduce you to a suite of computational methods and highlight the fruitful interplay between analytical understanding and computational practice. In particular, you will learn both the theory and use of numerical methods to simulate partial differential equations, how numerical schemes determine the stability of your method and how to assure stability when simulating Hamiltonian systems, how to simulate stochastic differential equations, as well as modern approaches to distilling relevant information from data using machine learning. By doing this unit you will develop a broad knowledge of advanced methods and techniques in computational applied mathematics and know how to use these in practice. This will provide a strong foundation for research or further study.
Code | MATH4411 |
---|---|
Academic unit | Mathematics and Statistics Academic Operations |
Credit points | 6 |
Prerequisites:
?
|
None |
---|---|
Corequisites:
?
|
None |
Prohibitions:
?
|
None |
Assumed knowledge:
?
|
A thorough knowledge of vector calculus (e.g., MATH2X21) and of linear algebra (e.g., MATH2X22). Some familiarity with partial differential equations (e.g., MATH3X78) and mathematical computing (e.g., MATH3X76) would be useful |
At the completion of this unit, you should be able to:
Unit outlines will be available 2 weeks before the first day of teaching for the relevant session.
Key dates through the academic year, including teaching periods, census, payment deadlines and exams.
Enrolment, course planning, fees, graduation, support services, student IT
Code of Conduct for Students, Conditions of Enrollment, University Privacy Statement, Academic Integrity
Academic appeals process, special consideration, rules and guidelines, advice and support
Policy register, policy search
Scholarships, interest free loans, bursaries, money management
Learning Centre, faculty and school programs, Library, online resources
Student Centre, counselling & psychological services, University Health Service, general health and wellbeing