WM175-15 Engineering Mathematics
Introductory description
This module provides the appropriate knowledge and skills base of principles of mathematics and scientific methods including analytical techniques required to analyse engineering problems effectively. It gives the fundamental knowledge relevant to Degree Apprenticeship Standards ST0023, ST0024, ST0025 and ST 0027.
This module is linked with C1, C2 and C3 of the AHEP 4.
LO1: C1, C3
LO2: C2, C3
LO3: C3
LO4: C1, C3
Module aims
This module aims to provide students with a review of the basic mathematical techniques in the first half of the module, developing concepts further in the second half of the module to enable students to begin to formulate and improve solutions to engineering problems mathematically.
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.
- Algebra refresher
- Calculus refresher
- Introduction to partial derivatives
- Complex numbers
- Matrices, determinants and simultaneous equations
- First & Second order differential equations
- Laplace transforms & their application to solving ordinary differential equations
Learning outcomes
By the end of the module, students should be able to:
- Demonstrate a comprehension of fundamental mathematical terminology and methods [AHEP:4-C1, C3].
- Apply an efficient technique to solve a given basic mathematical problem [AHEP:4-C2, C3].
- Communicate clearly mathematically using logical argument evidencing a sound understanding of the fundamental concepts taught [AHEP:4-C3].
- Manipulate core mathematical techniques to solve given problems including within engineering contexts [AHEP:4-C1, C3].
Indicative reading list
Croft, A., Davison, R., Mathematics for Engineers. 5th edition. Pearson 2019.
ISBN: 1292253649, 9781292253640
Stroud K.A., Booth D.J. Engineering Mathematics. 7th edition. Palgrave Macmillan 2013.
ISBN: 1137031204, 9781137031204
View reading list on Talis Aspire
Subject specific skills
Select, use and apply problem-solving methods to solve complex problems and determine appropriate solutions (S2 in all DA Standards).
Observe, record and draw accurate and auditable conclusions from data (S5 in all DA Standards).
Communicating mathematically, quantitative reasoning, manipulation of precise and intricate ideas, mastery of a range of appropriate mathematical techniques.
Transferable skills
Problem Solving: Uses rational and logical reasoning to deduce appropriate and well-reasoned conclusions; Retain an open mind, optimistic of finding solutions, thinking laterally and creatively to look beyond the obvious; Knows how to learn from failure.
Communication: Verbal- Communicate orally in a clear and sensitive manner which is appropriately varied according to different audiences; Written: Present arguments, knowledge and ideas, in a range of formats.
Professionalism: Prepared to operate autonomously. Aware of how to be efficient and resilient. Manages priorities and time.
Study time
| Type | Required |
|---|---|
| Lectures | 8 sessions of 1 hour (5%) |
| Seminars | 12 sessions of 1 hour (8%) |
| Online learning (scheduled sessions) | 10 sessions of 1 hour (7%) |
| Online learning (independent) | 6 sessions of 1 hour (4%) |
| Other activity | 4 hours (3%) |
| Private study | 50 hours (33%) |
| Assessment | 60 hours (40%) |
| Total | 150 hours |
Private study description
The students will complete 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.
Online forum and discussion (asynchronous).
Other activity description
Online support / consultancy before the two assessments.
Costs
No further costs have been identified for this module.
You must pass all assessment components to pass the module.
Assessment group B
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| Digital Assessment | 40% | 24 hours | No |
|
Digital assessment of basic maths concepts - all questions to be answered. |
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| Exam | 60% | 36 hours | No |
|
Maths questions including some within engineering contexts - all questions to be answered. |
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Feedback on assessment
Formative feedback :
- Cohort level formative feedback on practice digital assessment questions;
- Cohort level formative feedback on mock digital assessment test;
- Cohort level formative feedback on mock exam before results shared;
- Individual, verbal formative feedback on problem sets given during seminar/tutorial sessions throughout the course.
Summative feedback:
- Cohort-level summative feedback on Assessment 1 (Digital Assessment).
- Cohort-level summative feedback on Assessment 2 (Exam).
Courses
This module is Core for:
- Year 1 of UWMS-H7C3 Undergraduate Applied Professional Engineering (Control/Technical Support Engineer)
- Year 1 of DWMS-H7C7 Undergraduate Applied Professional Engineering (Control/Technical Support Engineer) (Degree Apprenticeship)
- Year 1 of UWMS-H7C2 Undergraduate Applied Professional Engineering (Electrical/Electronic Support Engineer)
- Year 1 of DWMS-H7C6 Undergraduate Applied Professional Engineering (Electrical/Electronic Support Engineer) (Degree Apprenticeship)
- Year 1 of UWMS-H7C1 Undergraduate Applied Professional Engineering (Manufacturing Engineer)
- Year 1 of DWMS-H7C5 Undergraduate Applied Professional Engineering (Manufacturing Engineer) (Degree Apprenticeship)
- Year 1 of UWMS-H7C4 Undergraduate Applied Professional Engineering (Product Design and Development Engineer)
- Year 1 of DWMS-H7C8 Undergraduate Applied Professional Engineering (Product Design and Development Engineer) (Degree Apprenticeship)