WM272-15 Numerical Methods
Introductory description
This module builds on the fundamental mathematics introduced in the first-year engineering mathematics module
(WM175) and provides a basis for advanced modules in the 3rd and 4th year of the Applied Professional Engineering Programme. This module concentrates on fundamental numerical methods to provide the student with a range of
alternate techniques with which to approach contextualised engineering/mathematical problems.
Module aims
To understand the concepts and appreciate the limitations of numerical models and their application to engineering problems. It is also to gain an appreciation of the advantages and drawbacks of mathematical techniques in order to develop an overview in engineering and industrial applications.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
- The use of technology in mathematical problems.
- Numerical solutions of equations
- Calculus II - quadrature / numerical differentiation
- Error analysis
- Numerical solutions to IVPs in differential equations.
- Calculus III - partial derivates & total derivative
Learning outcomes
By the end of the module, students should be able to:
- Know and demonstrate understanding of the underlying principles of numerical solutions to equations including well-established models.
- Make appropriate use of technology to implement and verify numerical calculations.
- Apply the concepts of numerical approximation and appreciate the limitations of the modelling.
- Evaluate critically the appropriateness of numerically calculated approximations.
Indicative reading list
Croft, A., Davison, R., Engineering Mathematics. 5th edition. Pearson 2019.
ISBN: 1292253649, 9781292253640
Stroud K.A., Booth D.J. Engineering Mathematics. 7th edition. Palgrave Macmillan 2013.
ISBN: 1137031204, 9781137031204
Engineering Mathematics Through Applications, Kuldeep Singh, 2nd edition. Palgrave Macmillan 2011. ISBN: 023027479X, 9780230274792
MATLAB for Engineers, Holly Moore. 5th edition. Pearson 2019. ISBN: 1292231203, 9781292231204
View reading list on Talis Aspire
Subject specific skills
Communication of mathematical knowledge.
Describing an engineering problem mathematically.
Breaking a contextualised problem down into smaller parts.
Quantitative reasoning.
Transferable skills
Analytical skills
Problem solving
Resilience
Time management
Critical thinking
Creativity
Intellectual rigour
Study time
| Type | Required | Optional |
|---|---|---|
| Lectures | 6 sessions of 1 hour (4%) | |
| Seminars | 8 sessions of 1 hour (5%) | |
| Tutorials | 6 sessions of 1 hour (4%) | |
| Online learning (scheduled sessions) | 19 sessions of 1 hour (13%) | 6 sessions of 1 hour |
| Online learning (independent) | 1 session of 5 hours (3%) | |
| Private study | 46 hours (31%) | |
| Assessment | 60 hours (40%) | |
| Total | 150 hours |
Private study description
The students will complete technology, solution formatting and mathematical resilience elements.
Recapping of prior learning is expected where necessary.
Reading around the topics covered will provide the depth of understanding required to complete the course to a good standard. This may be both prior to and/or after the teaching and learning sessions.
Support from teaching staff is available but students will be expected to increasingly develop their independent learning skills.
Time spent on preparation for assessments is required - advice regarding this will be given.
Costs
No further costs have been identified for this module.
You must pass all assessment components to pass the module.
Assessment group A
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| Assessment 1 | 30% | 18 hours | Yes (extension) |
|
Problem set covering material from week 1. |
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| Assessment 2 | 70% | 42 hours | Yes (extension) |
|
Problems including within engineering contexts to be solved fully by students using numerical methods and with adequate error analysis. Number of words not relevant as calculations will be submitted but a maximum of 12 sides of A4. |
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Feedback on assessment
Assessment 1 ( In-class test ): Written cohort-level feedback given after the test.
Assessment 2 (Problem set): Marked script with individual feedback returned.
Courses
This module is Core for:
- Year 2 of UWMS-H7C3 Undergraduate Applied Professional Engineering (Control/Technical Support Engineer)
- Year 2 of DWMS-H7C7 Undergraduate Applied Professional Engineering (Control/Technical Support Engineer) (Degree Apprenticeship)
- Year 2 of UWMS-H7C2 Undergraduate Applied Professional Engineering (Electrical/Electronic Support Engineer)
- Year 2 of DWMS-H7C6 Undergraduate Applied Professional Engineering (Electrical/Electronic Support Engineer) (Degree Apprenticeship)
- Year 2 of UWMS-H7C1 Undergraduate Applied Professional Engineering (Manufacturing Engineer)
- Year 2 of DWMS-H7C5 Undergraduate Applied Professional Engineering (Manufacturing Engineer) (Degree Apprenticeship)
- Year 2 of UWMS-H7C4 Undergraduate Applied Professional Engineering (Product Design and Development Engineer)
- Year 2 of DWMS-H7C8 Undergraduate Applied Professional Engineering (Product Design and Development Engineer) (Degree Apprenticeship)