2016/17 Undergraduate Module Catalogue

PDES1130 Quantification Techniques for Product Design

10 creditsClass Size: 75

Module manager: Dr Marlene Mengoni
Email: M.Mengoni@leeds.ac.uk

Taught: Semester 1 View Timetable

Year running 2016/17

Co-requisites

 PDES1510 Design Studio 1

This module is not approved as a discovery module

Objectives

The aim of this module is to provide maths knowledge and skills needed for the science and technology modules in the Product Design programme:

1. Arithmetic basics including fractions, ratio, percentages, decimals
2. Surds and indices
3. Algebraic manipulation of expressions, transposition of formulae, solution of equations
4. Linear functions and their properties including gradient, intercept, mid-point
5. Exponentials and logarithms
6. Geometry of the circle
7. Ability to recognise and characterise graphs
8. Basics of trigonometry including radian measure, graphs, solution of triangles
9. Practical applications and understanding of differentiation and integration.

Syllabus

Arithmetic
To consolidate understanding of basic arithmetic. Working with numerical fractions is an essential first step towards the ability to manipulate simple algebraic expressions.

Surds and indices
An ability to manipulate both surds and indices is a skill used in many maths and engineering applications.

Algebra
To apply standard models (for example, to calculate the deflection in a beam under given loads) you need to be able to manipulate simple algebraic expressions that include simple symbols. You will learn how to expand and remove brackets, transpose simple formulae and solve linear equations.

Functions and graphs
You will be introduced to several basic graph types. In particular you will learn how to form equations of straight lines and circles. You will be able to deduce certain properties and geometrical information from their equations.

Exponentials and logarithms
You will discover the inter-relationship of exponentials and logarithms, and the laws governing their manipulation. You will be introduced to their graphs and explore why we need to use logarithms, for example, as a measure of sound (decibels).

Trigonometry
To apply Newton's laws (for example, to resolve a force) you need to be able to use sines, cosines and tangents; these are the basics of trigonometry used by engineers and scientists.

Concepts of differentiation and integration
There are many examples where 'rate of change' is encountered. For example, velocity is the rate of change of distance and acceleration is the rate of change of velocity. Differentiation is the process which allows us to calculate rates of change. When applied to graphs, it allows us to calculate gradients.

Integration is the reverse process of differentiation. Additionally, it allows you to calculate areas under graphs.

Teaching methods

 Delivery type Number Length hours Student hours Class tests, exams and assessment 1 0.50 0.50 Class tests, exams and assessment 1 1.50 1.50 Lecture 11 1.00 11.00 Seminar 11 1.00 11.00 Tutorial 4 1.00 4.00 Private study hours 72.00 Total Contact hours 28.00 Total hours (100hr per 10 credits) 100.00

Private study

- Lecture & tutorial preparation: 20 hours
- Exam preparation: 24 hours
- Completing coursework: 28 hours.

Opportunities for Formative Feedback

Lectures are supplemented with workbooks. Each workbook contains lecture notes, worked examples and example problems. Some of these problems will be worked through in 4 personal tutorial sessions during the semester.

Additionally there are on-line video tutorials and exercises which supplement the workbooks and allow you to check your progress within each topic area.

Methods of assessment

Coursework
 Assessment type Notes % of formal assessment Assignment Construction using a limited amount of cardboard. Students will work in small groups but will produce an individual sketchbook 40.00 In-course Assessment Class test 20.00 Total percentage (Assessment Coursework) 60.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams
 Exam type Exam duration % of formal assessment Standard exam (closed essays, MCQs etc) 1 hr 30 mins 40.00 Total percentage (Assessment Exams) 40.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated