Differential Equations (G5097)
15 credits, Level 5
In this module, the topics you will cover will include:
Ordinary differential equations:
- solution methods; variation of the constant formula, separation of variables
- solution of linear ODE with constant coefficients
- Lipschitz continuity
- existence and uniqueness (Picard-Lindeloef), maximal solutions, Gronwall
- higher order equations into system of first order
- boundary value problems.
Partial differential equations:
- partial and total derivatives
- first order PDEs; method of characteristics for semilinear and quasilinear equations, initial boundary value problems.
20%: Practical (Workshop)
9%: Seminar (Class)
20%: Coursework (Presentation, Problem Set, Test)
80%: Examination (Unseen examination)
Contact hours and workload
This module is 150 hours of work. This breaks down into 46 hours of contact time and 104 hours of independent study.
This module is running in the academic year 2019/20. We also plan to offer it in future academic years. It may become unavailable due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of such changes to modules at the earliest opportunity.