Introductory description

This module builds on the fundamental mathematics introduced in the first-year engineering mathematics module (WM175), relevant to Degree Apprenticeship Standards ST0023, ST0024, ST0025 and ST0027, 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.

This module is linked with C1, C and, C3 of the AHEP 4.

LO1: C1, C2, C3
LO2: C1, C3
LO3: C2, C3
LO4: C1

Module web page

Module aims

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.

• Numerical solutions of equations
• Eigenvalues and eigenvectors
• 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:

• Formulate solutions that contain appropriate use of core mathematical notation, terminology and methods. [AHEP:4- C1]
• Critically appraise the limitations of the core mathematical methods and tools used. [AHEP:4- C2, C3]
• Examine a variety of core numerical methods to investigate contextualised problems. [AHEP:4- C1, C2, C3]
• Demonstrate the interdependent nature of analytical and numerical mathematical concepts. [AHEP:4- C1, C3]

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

1. Select, use and apply approved problem-solving methods to solve complex problems and determine appropriate solutions or actions (S2 in all standards).

2. Interpret and produce technical documentation such as engineering reports or data analytics (S4 in all standards).

3. Observe, record and draw accurate and auditable conclusions from data and/or developmental or test evidence (S5 in all standards).

4. Identify resources, such as digital tools or technologies, human, equipment, materials or data, to complete design and development projects or programmes of work (S9 in ST0024, ST0025; S8 in ST0027).

Transferable skills

• Problem solving: use 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.
• Professionalism: prepared to operate autonomously, aware of how to be efficient and resilient, manages priorities and time, self-motivated, setting and achieving goals, prioritising tasks.
• Critical thinking: recognises patterns, themes and key messages from sometimes confused and incomplete data, make informed decisions on the value of a range of sources allowing an evidence based conclusion based on this analysis.
• Digital literacy: has the capabilities that enable living, learning and working in a digital society, comfortable with using digital media to communicate, solve problems, manage information, collaborate, create and share content.
• Communication: written - present arguments, knowledge and ideas, in a range of formats, active listening - questioning, reflecting, summarising.
• Ethical values: committed to living ethically and behaving consistent with the Warwick Guiding Principles.