Unit name | Ordinary Differential Equations 2 |
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Unit code | MATH20101 |
Credit points | 20 |
Level of study | I/5 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Chenchiah |
Open unit status | Not open |
Pre-requisites |
MATH10012 ODEs, Curves and Dynamics and MATH11005 Linear Algebra and Geometry. |
Co-requisites |
Multivariable Calculus is recommended but not required as a co-requisite. |
School/department | School of Mathematics |
Faculty | Faculty of Science |
The aim of this unit is to introduce the students to the basic theory of ordinary differential equations.
Unit Description
The subject of differential equations is a very important branch of applied mathematics. Many phenomena from physics, biology and engineering may be described using ordinary differential equations. In order to understand the underlying processes we have to find and interpret the solutions of these equations; this unit is an introduction to the endeavour.
Relation to Other Units
This unit develops the ordinary differential equations material in ODEs, Curves and Dynamics. Partial differential equations are treated in a separate unit, Applied Partial Differential Equations 2. Together with Multivariable Calculus and Methods of Complex Functions, these courses provide essential tools for mathematical methods and applied mathematics units at Levels 3 and 4.
Learning Objectives
By the end of this unit students will be able to:
Transferable Skills
Lectures - 33 sessions in which the lecturer will present the course material on the blackboard. Students are expected to attend all lectures, and to prepare for them by reading notes, handouts or texts, as indicated by the lecturer. The lectures are 3 per week, on weeks 1 to 11 - no class on week 12 .
Problems classes - 10 sessions with the lecturer, in which problems will be worked through as a demonstration, on the blackboard. Students are strongly encouraged to attend all problems classes.
Homework assignments - 10 problem sheets will be given out, one per week. Students will be required to turn in selected problems from the sheet, which will be marked by the postgraduate teaching assistants.
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