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2020/21 Undergraduate Module Catalogue

ELEC1702 Engineering Mathematics

10 creditsClass Size: 160

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

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2020/21

This module is mutually exclusive with

ELEC1701Introduction to Engineering Mathematics

This module is not approved as a discovery module

Module summary

The teaching and assessment methods shown below will be kept under review during 2020-21. In particular, if conditions allow for alternative formats of delivery, we may amend the timetable and schedule appropriate classes in addition to (or in place of) the Online Learning Workshops. For Semester 2 (from January 2021), we anticipate that this will be most likely, in which case online teaching will be substituted for traditional face-to-face teaching methods, including lectures and practical classes. ‘Independent online learning’ will involve watching pre-recorded lecture material or screen-casts, engaging in learning activities such as online worked examples or remote/virtual laboratory work, etc. Students will be expected to fully engage with all of these activities. The time commitment for independent online learning, and also the frequency and duration of Online Learning Workshops, are approximate and intended as a guide only. Further details will be confirmed when the module commences.

Objectives

This module provides the opportunity to revise essential engineering mathematics concepts and to develop understanding in essential new areas for application to electronics.




Learning outcomes
On completion of this module students should be able to:

1. Manipulate algebraic expressions with confidence.
2. Use trigonometric functions with confidence and perform calculations involving triangle and circle geometry.
3. Sketch trigonometric, exponential, natural log and polynominal functions.
4. Understand the connection between derivative and slope and quote the derivatives of basic functions.
5. Know what is meant by a stationary point and be able to classify the stationary points of simple functions.
6. Quote the general form of the Maclaurin and Taylor series, and determine the series of simple functions.
7. Be able to quote the indefinite integrals of basic functions, integrate by parts, and use substitutions to evaluate integrals.
8. Carry out a simple partial fraction expansion of a function and use it to integrate.
9. Add, subtract, multiply and divide complex numbers and apply De Moivre's theorem.
10. Add and subtract 2 dimensional and 3 dimensional vectors and calculate scalar and vector products.


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 substraction 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

Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Delivery typeNumberLength hoursStudent hours
On-line Learning91.009.00
Independent online learning hours32.00
Private study hours59.00
Total Contact hours9.00
Total hours (100hr per 10 credits)100.00

Private study

Students are expected to use private study time to consolidate the material covered in lectures, to undertake preparatory work for examples classes and to prepare for summative assessments.

Opportunities for Formative Feedback

Feedback will be mainly provided through the examples classes.

Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information


Coursework
Assessment typeNotes% of formal assessment
Online AssessmentOnline Assessment/Test 110.00
Online AssessmentOnline Assessment/Test 230.00
Online AssessmentOnline Assessment/Test 330.00
Online AssessmentOnline Assessment/Test 430.00
Total percentage (Assessment Coursework)100.00

Resits for ELEC and XJEL modules are subject to the School's Resit Policy and the Code of Practice on Assessment (CoPA), which are available on Minerva. Students should be aware that, for some modules, a resit 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: 10/08/2020 08:35:35

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