2024/25 Undergraduate Module Catalogue

ELEC1702 Engineering Mathematics

10 Credits Class Size: 40

Module manager: Dr Joshua Freeman
Email: j.r.freeman@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2024/25

Pre-requisite qualifications

Acceptance onto the BSc Music, Multimedia and Electronics programme

This module is not approved as a discovery module

Module summary

This module provides students with a knowledge and understanding of the key mathematical principles necessary to underpin their education in music, multimedia and electronics.

Objectives

This module has the following objectives:
- To provide an opportunity to revise essential engineering mathematics concepts.
- To develop understanding in new areas of mathematics applicable to engineering.
- To apply mathematical methods, tools and notations to the analysis and solution of music, multimedia and electronics problems.

Learning outcomes

On successful completion of the module students will have demonstrated the following learning outcomes:
1. Apply basic knowledge of mathematics to the solution of well-defined problems.

Skills learning outcomes

On successful completion of the module students will have demonstrated the following skills:
a) Application of science, mathematics and/or engineering principles

Syllabus

Topics may include, but are not limited to:
* Exponential functions
* Logarithms and natural logarithms
* Logarithmic scales
* Application to calculate decibel quantities and decibel changes
* Hyperbolic functions
* Principle of differentiation
* Differentiation of standard functions
* Differentiation of a product and a quotient
* Chain rule
* Differentiation from first principles
* Practical application of differentiation
* Determination of maxima and minima
* Taylor and Maclaurin series
* Series expansion of exponential, logarithmic and trigonometric functions
* Principle of integration
* Integrals of standard functions
* Methods of integration: substitutions, integration by parts and via partial fractions
* The trapezium rule
* Vectors: Practical examples of vector quantities
* Vector notations
* Addition and subtraction of vectors in 2 and 3 dimensions
* Scalar product, Vector product and Scalar triple product
* Complex numbers: Cartesian and polar forms
* Argand diagrams and vector representation
* Arithmetic of complex numbers
* De Moivre's theorem
* Complex roots of equations: complex solutions of the quadratic formula
* Complex roots of polynomials
* Graphical interpretation
* Complex representation of sine & cosine & analogy with hyperbolic functions

Methods of Assessment

We are currently refreshing our modules to make sure students have the best possible experience. Full assessment details for this module are not available before the start of the academic year, at which time details of the assessment(s) will be provided.

Assessment for this module will consist of:

1 x Coursework
1 x Exam

Teaching Methods

Delivery type Number Length hours Student hours
Consultation 11 1 11
Practicals 6 2 12
Examples Class 11 1 11
Seminar 22 1 22
Independent online learning hours 11
Private study hours 33
Total Contact hours 56
Total hours (100hr per 10 credits) 100

Opportunities for Formative Feedback

Students studying ELEC modules will receive formative feedback in a variety of ways, which may include the use of self-test quizzes on Minerva, practice questions/worked examples and (where appropriate) through verbal interaction with teaching staff and/or post-graduate demonstrators.

Methods of Assessment

Coursework
Assessment type Notes % of formal assessment
In-course Assessment Coursework 1 30
Total percentage (Assessment Coursework) 30

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams
Exam type Exam duration % of formal assessment
Standard exam (closed essays, MCQs etc) 3.0 Hrs 0 Mins 70
Total percentage (Assessment Exams) 70

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading List

There is no reading list for this module

Last updated: 4/1/2025

Errors, omissions, failed links etc should be notified to the Catalogue Team