Mathematical methods of asymptotic approximation
Supervisor: Tony Roberts
Description: The aim of this course is a wider understanding of approximations, both simple and complex. Content is topics from: asymptotic series; asymptotic expansion of integrals; summation of convergent and divergent series; global analysis; boundary layer theory; WKB theory; catastrophe theory; renormalisation.
Prerequisites: PDEs
Main text: Bender & Orszag, ``Advanced mathematical methods for engineers and scientists'', McGrawHill, 1978.
Some potential study topics
| What is Maths? Ron Addie | Attitude and belief Patricia Cretchley | Computer Algebra Ed Patricia Cretchley | Assessment issues Patricia Cretchley |
| Education research? Patricia Cretchley | Bridge gaps Patricia Cretchley | Gender equity Patricia Cretchley | Teaching geometry Patricia Cretchley |
| Math history Patricia Cretchley | Gen Lin Models Peter Dunn | Bayesian stats Paul Fahey | Survey sampling Ashley Plank |
| Maths Methods Tony Roberts | Quantum Computing Tony Roberts | Water waves Tony Roberts | Games theory Tony Roberts |
| Parallel numerics Tony Roberts | Hydro stability Sergey Suslov | Math Biology Sergey Suslov | Banach spaces Oleksiy Yevdokimov |
| Fundamental Maths Education Oleksiy Yevdokimov | Number history Oleksiy Yevdokimov |