Mathematics for Product Design (H1039)
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Mathematics for Product Design
Module H1039
Module details for 2024/25.
15 credits
FHEQ Level 4
Library
1) Introducing Mathematics, Z. Sardar and B. Van Loon, ISBN 9781840466379
http://www.iconbooks.co.uk/book/introducing-mathematics-196/
2) Foundation Mathematics, K. A. Stroud and D. J. Booth, ISBN 9780230579071
http://www.palgrave.com/products/title.aspxPID=335648
3) GCSE Mathematics Complete Revision & Practice
http://www.cgpbooks.co.uk/pages/productDetail.aspbook=MAHS42
Module Outline
The Mathematics for Product Design module provides you with core maths skills that are needed to be successful in the application of mathematical principles to the broader field of product design.
Whilst much of the underlying mathematical content is drawn from across the traditional level 3 syllabus, a particular emphasis is placed on the practical applications of mathematics. For example, we consider how mathematics influences and relates to typographical and architectural design. We see how typefaces can be designed and specified and how bridges structures can be modelled and how these models can be used in practical estimation tasks. You will also develop skills in using computer tools such as spreadsheets to solve practical problems.
Developing a good understanding of mathematical principles is key to help you engage fully with other engineering modules covering subjects including materials and applied technology. Even if you are already competent at level 3 mathematics, you should find inspiration in finding new ways to apply your maths skills in the design world.
Module Topics
Subjects include:
• Equations: Writing and solving simple equations, representing problems with equations.
• Graphs: Graphs as a means of representing equations. Using graphs to solve problems, and using computer tools to draw graphs and solve problems. Applications of logarithms.
• Linear algebra: Straight line equations, simultaneous equations. Solution by iterative techniques.
• Quadratic equations: Quadratic equations. Modelling structures using quadratic curves. Systems of mixed polynomial and linear equations.
• Geometry: Basic geometric shapes and their properties, modelling complex structures by combined geometric shapes. Applications of geometry to design.
• Matrices: Representing real world data using 1D and 2D matrices. Solving simultaneous equations using matrices, matrix arithmetic and transformations. Calculating a matrix inverse.
• Calculus: Differentiation and integration. Applications of calculus in engineering applications.
• Statistics: Representing real world data. Calculating basic statistical properties such as mean and standard deviation for ordinary and grouped data.
Module learning outcomes
Have knowledge of mathematical concepts and principles appropriate to the requirements of product design degree course.
Use algebraic manipulation to isolate a single variable, solve simultaneous equations, use trigonometric relationships to evaluate angles and lengths, represent data in graphical form, evaluate basic statistical relationships and carry out simple differentiation and integration.
Apply mathematical concepts and principles to design practice.
Develop lines of mathematical argument to solve mathematical problems
| Type | Timing | Weighting |
|---|---|---|
| Computer Based Exam | Semester 1 Assessment | 50.00% |
| Coursework | 50.00% | |
| Coursework components. Weighted as shown below. | ||
| Report | T1 Week 11 | 75.00% |
| Report | T1 Week 5 | 25.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Autumn Semester | Lecture | 1 hour | 11111111111 |
| Autumn Semester | Workshop | 2 hours | 11111111111 |
| Autumn Semester | Lecture | 2 hours | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Philip Howes
Assess convenor
/profiles/630659
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