Module manager: TBC
Email: TBC
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2026/27
None
| MATH2350 | Vector Calculus and Partial Differential Equations |
Parts of MATH3365, MATH3414 and MATH2375
This module is not approved as a discovery module
This module develops techniques to solve ordinary and partial differential equations arising in mathematical physics. For the important case of second-order PDEs, we distinguish between elliptic equations (e.g., Laplace's equation), parabolic equations (e.g., heat equation) and hyperbolic equations (e.g., wave equation), and physically interpret the solutions. When there is not an exact solution in closed form, approximate solutions (so-called perturbation expansions) can be constructed if there is a small or large parameter.
This module will give opportunity to students to accumulate mathematical knowledge of methods for solving problems governed by ordinary or partial differential equations. This will involve learning several techniques of solving ODEs and PDEs.
On successful completion of the module students will have demonstrated the following skills learning outcomes: a) Written communication b) Problem solving by formalising and analysing aspects of applied mathematics c) Maintain and uphold academic integrity and professional ethics d) Appropriate skills associated to a mathematician
Theory of ordinary differential equations. Special functions and orthogonal polynomials. · Theory of partial differential equations. First-order PDEs. Classification and advanced solution methods for second-order PDEs, including Laplace’s equation, the heat equation, and the wave equation. Green's functions and similarity solutions. · Introduction to asymptotic methods. Additional topics that build on these may be covered as time allows.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | 44 | 1 | 44 |
| Private study hours | 156 | ||
| Total Contact hours | 44 | ||
| Total hours (100hr per 10 credits) | 200 | ||
Regular problem solving exercises will be setup every two weeks.
Check the module area in Minerva for your reading list
Last updated: 30/04/2026
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