Programme/Approved Electives for 2020/21
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: 1,2,3interpret the behaviour of solutions of differential equations through the use of phase-plane analysis: 1,2,3analyse a physical problem, then select and apply appropriate methods to solve this problem interpreting the result: 1,2,3
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: Exercise weighted 10%
Description of Module Assessment
Take-home assignmentsTwo equally weighted take-home, written assignments. Each assignment consists of a set of questions with pre-allocated space for written solutions. The assignments are set at regular intervals across the semester. Students should expect to spend 12 hours across the semester on their assignments.2: Class Test weighted 20%
Two class tests.Two class tests to assess both theoretical and practical aspects of the module. The class tests are equally weighted. Each class test will last 40 minutes.3: Unseen Exam weighted 70%
2 hour unseen examThe examination paper will consist of no less than five and not more than eight questions all of which are compulsory.