Programme/Approved Electives for 2021/22
Available as a Free Standing Elective
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: 1,3interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 2,3analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 1,3
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.
Lectures: 36 hoursTutorials: 12 hoursIndependent study: 100 hoursUnseen examination: 2 hours
Intended Learning Outcomes
1: Assignment weighted 15%
Description of Module Assessment
Take home assignmentSolving of first and higher order ODEs and IVPs.2: Class Test weighted 15%
Class test40 min class test covering mainly phase-plane analysis3: Exam weighted 70%
Final examThe examination paper will consist of no less than five and not more than eight questions all of which are compulsory.