Programme/Approved Electives for 2024/25
None
Available as a Free Standing Elective
No
This module aims to build on Level 4 Calculus by developing skills of mathematical techniques, with a particular focus on methods for solving ordinary differential equations (ODEs). Some basic techniques for solving partial differential equations (PDEs) will also be introduced.
analyse a differential equation, then select and apply appropriate theoretical material and/or computational methods to solve the equation: 1,3
interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 2,3
analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 3
This module focuses on methods for solving ordinary differential equations. The topics include: solutions to first-order equations, higher-order linear equations, power series methods, graphical aspects of differential equations and Laplace transforms. The module also introduces the idea of partial differential equations and some elementary methods of solution. This module prepares students for a wide range of Level 6 modules.
Aims
Lectures: 36 hours
Tutorials: 12 hours
Preparation of coursework: 12 hours
Independent study: 90 hours
Intended Learning Outcomes
Description of Module Assessment
1: Assignment weighted 15%Take home assignment
2: Class Test weighted 15%Class test
3: Exam weighted 70%Final exam