2P0/2Q1 (MATH29641)

 

Unit specification

Aims

To provide a second year course in mathematics and statistics to Electrical Engineering Students.

Brief description

Numerical Methods (5 lectures) :- Solution of non-linear equations; iteration, Newton Raphson in one and two variables. Linear and Quadratic interpolation. Numerical Integration; trapezoidal and Simpson's Rules, composite form.

Functions of Two Variables (6 lectures) :- Tayor Series in two variables. Maxima, minima and saddle points in two directions. Examples of first and second order partial differential equations e.g. heat equation, wave equation, Laplace's/Poisson's Equation.

Laplace Transforms (4 lectures) :- Definition, Transforms of Simple Functions, Inverse Transforms. Transforms of first and second derivatives. Solution of Ordinary differential equations by Laplace Transforms. Applications to LRC Circuits.

Vector Calculus (7 lectures) :- Definition of div, grad and curl. Identities, examples, applications.

Intended learning outcomes

Knowledge and understanding: Demonstrate knowledge of the mathematical topics in the syllabus and their relevance to Electrical Engineering.

Intellectual skills:

Carry out routine calculations on these topics similar to the calculations demonstrated in the lectures and other course materials.

Be able to carry out calculations involving knowledge and skills relevant to more than one syllabus topic.

In some cases, be able to extend the methods given in the lectures to cope with unseen situations.

Be able to use the skills provided in this course in order to carry out tasks and increase understanding of other courses in Electrical Engineering.

Transferable skills and personal qualities: In some cases, be able to extend the methods given in the lectures to cope with unseen situations.

Textbooks

E Kreyszig, Advanced Engineering Mathematics, Wiley

Learning and teaching processes

Two lectures in weeks 1-5 and 7-12. One smallish-group tutorial in weeks 2-12.

Lectures : 22

Tutorials : 10

Hours of private study : 68

Assessment

Coursework 1 (week 9); Weighting within unit 10%

Coursework 2 (week 11); Weighting within unit 10%

2 hour end of semester 1 examination; Weighting within unit 80%

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Arrangements

This is a first semester course for students in the second year of courses in the School of Electrical and Electronic Engineering and who have studied 1Q1 and 1Q2 last year. There are two lectures and one tutorial per week as follows.

The lecture for half-course 2P0 for 2010-11 is Monday 4 pm : Renold/D7 Lectures to be given by Dr O Dorn

The lecture for half-course 2Q1 for 2010-11 is Wednesday 11 am : George Begg / C1 : Lectures to be given by Dr O Dorn

The tutorial for 2P0/2Q1 (MATH29641) for Electrical Engineering for 2010-11 students is Wednesday 12 noon : Renold/F14 : This starts in week 2 and deals with 2P0 and 2Q1 in alternate weeks.