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2019/20 Undergraduate Module Catalogue

ELEC1704 Further Engineering Mathematics

10 creditsClass Size: 160

Module manager: Prof Christoph Walti
Email: c.walti@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2019/20

This module is not approved as a discovery module

Objectives

Building on the semester 1 mathematics topics, this module provides students with a knowledge and understanding of the key mathematical principles necessary to underpin their education in electronic engineering. On completion of this module students should be able to apply mathematical methods, tools and notations to the analysis and solution of electronic engineering problems.

Learning outcomes
On completion of this module, students should be able to:
- derive and use Laplace Transforms of piecewise continuous and periodic functions;
- add, subtract and multiply simple matrices;
- perform spatial transformations using matrices;
- express and solve simultaneous linear algebraic equations in matrix form;
- calculate the inverse of a square matrix, and use the inverse to solve simultaneous linear equations;
- calculate the determinant of a square matrix;
- find the eigenvalues and eigenvectors of a square matrix;
- diagonalise a square matrix;
- formulate differential equations corresponding to 2nd order linear systems;
- solve 2nd order differential equations with constant coefficients;
- solve coupled 1st order differential equations;
- derive the Laplace Transforms of basic mathematical functions;
- use Laplace transformation to derive the s-domain equivalents of circuits containing L, C and R;
- predict system response based on the location of the system poles.


Syllabus

Matrices: Basic matrix algebra and properties, Matrix solution of simultaneous linear equations; row reduction methods, Gaussian & Gauss Jordan elimination, Consistency of simultaneous linear equations, Transpose and inverse of a matrix; use of inverse to solve simultaneous linear equations, Determinants; properties, Eigenvalues and eigenvectors; diagonalisation.Differential Equations: 1st and 2nd order linear differential equations with constant coefficients, solution via the auxiliary equation, nonhomogenous equations, application to electrical systems. Coupled 1st order linear differential equations; transformation of higher order linear differential equations on to coupled differential equations. Laplace Transforms: Introduction to transforms and operators, Laplace transforms of basic functions; unit step function, Transforms of 1st and 2nd derivatives, Application to electric circuits; transfer functions, Inverse Laplace transforms, derivation using partial fractions. Direct (s-domain) analysis of electrical circuits, Interpretation of s-domain functions; system poles and their effect on system response. Initial & final value theorems, Transforms of piecewise continuous functions.

Teaching methods

Delivery typeNumberLength hoursStudent hours
Example Class101.0010.00
Class tests, exams and assessment31.003.00
Lecture201.0020.00
Private study hours67.00
Total Contact hours33.00
Total hours (100hr per 10 credits)100.00

Opportunities for Formative Feedback

Students receive feedback on their progress through the in-semester tests.

Methods of assessment


Coursework
Assessment typeNotes% of formal assessment
In-course AssessmentIn-Semester Test 110.00
In-course AssessmentIn-Semester Test 220.00
In-course AssessmentIn-Semester Test 320.00
Total percentage (Assessment Coursework)50.00

.


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 00 mins50.00
Total percentage (Assessment Exams)50.00

Re-sits for ELEC modules are subject to the rules in the School’s Code of Practice on Assessment. Students should be aware that, for some modules, a re-sit may only be conducted on an internal basis (with tuition) in the next academic session.

Reading list

There is no reading list for this module

Last updated: 30/04/2019

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