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
Look at contextualised mathematical (i.e., engineering) problems and identify how to navigate the problem using their mathematical knowledge. Identify the mathematical tools that will be required to solve a problem and recognise their limitations. Apply appropriate mathematical tools correctly to produce a solution that is presented in a concise and comprehensive manner.
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.
- Error analysis
- Numerical solutions of equations
- Approximating functions
- Numerical differentiation (including partial differentiation)
- Numerical solutions to differential equations.
- Numerical integration
Learning outcomes
By the end of the module, students should be able to:
- Implement a variety of numerical methods appropriately to investigate contextualised problems.
- Demonstrate the interconnectedness of mathematical concepts.
- Critically appraise the limitations of the mathematical tools used.
- Present solutions that contain the appropriate use of mathematical notation, terminology and methods.
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 |
|---|---|
| Lectures | 10 sessions of 1 hour (7%) |
| Seminars | 10 sessions of 2 hours (13%) |
| Tutorials | 6 sessions of 1 hour (4%) |
| Online learning (independent) | 4 sessions of 1 hour (3%) |
| Private study | 50 hours (33%) |
| 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 A1
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| Assessment 1 (Problem Sets/Coursework) | 30% | 18 hours | Yes (extension) |
|
Problem sets covering new mathematical material from week 1 testing the students on their communication of mathematical solutions/ideas. To be completed in the students' own time although some time will be given in class to partially complete it (hence coursework in nature). Number of words not relevant as calculations will be submitted but a maximum of 15 sides of A4 is required. |
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| Assessment 2 (Problem Sets/Coursework) | 70% | 42 hours | Yes (extension) |
|
Problem sets with engineering contexts to be solved fully by students using the rest of the course content, showing a critical analysis of the tools used and a knowledge of the interconnectedness of previously taught mathematical concepts. To be completed in the students' own time (hence coursework in nature). Number of words not relevant as calculations will be submitted but a maximum of 20 sides of A4 is required. |
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Feedback on assessment
Assessment 1 (Problem Sets/Coursework): Individualised feedback given.
Assessment 2 (Problem Sets/Coursework): Individualised feedback given.
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)