Core Module Information
Module title: Foundation Mathematics

SCQF level: 07:
SCQF credit value: 20.00
ECTS credit value: 10

Module code: ELE07102
Module leader: Chris Guiver
School School of Computing, Engineering and the Built Environment
Subject area group: Engineering and Mathematics

Good level of secondary (i.e. high) school maths

Description of module content:

This module will consist of 6 main topics:
1. Complex numbers in Cartesian, Polar and Exponential forms
2. Foundation Mathematics including algebra, functions and their graphs
3. Concept of differentiation involving product, quotient and chain rules
4. Indefinite and definite integrals with engineering applications
5. Solving engineering problems involving scalar and vector products
6. Descriptive Statistics using a graphical calculator or software

Learning Outcomes for module:

On completion of this module you will be able to:
LO1: manipulate complex numbers;
LO2: simplify algebraic expressions and rearrange formulae which involve indices and logarithms;
LO3: use trigonometry ratios and identities and apply wave functions;
LO4: perform basic differentiation and integration including engineering applications;
LO5: express vectors in three dimensions. Solve engineering problems using scalar and vector products;
LO6: interpret and communicate information from a set of data.

Full Details of Teaching and Assessment
2022/3, Trimester 1, FACE-TO-FACE, Edinburgh Napier University
Occurrence: 001
Primary mode of delivery: FACE-TO-FACE
Location of delivery: MERCHISTON
Partner: Edinburgh Napier University
Member of staff responsible for delivering module: Chris Guiver
Module Organiser:

Learning, Teaching and Assessment (LTA) Approach:
Learning & teaching methods including their alignment to LOs
Students will be taught in interactive groups. Graphical calculators will be used to enhance the teaching and learning. For part of the student centred learning computer based assessments will be available to allow students plenty of practice on Foundation Mathematics and Calculus. Weekly tutorial handouts are an integral part of the module.

Embedding of employability/ PDP/ scholarship skills
The module will be relevant to all engineering programmes and hence will show the use of several engineering disciplines. Engineers are required to have a good understanding of mathematics and using it in real engineering examples is a real motivating factor. On completion of this module the students will begin to be able to solve engineering problems using mathematics with confidence. This will make them more employable.

Research/ teaching linkages
The emphasis of this module is to learn by investigating results, observing patterns, visualizing graphs and using technology. The teaching team undertake scholarly activity and attend events which keep them up to date with the subject material. The students are asked to research current practice in the subject as part of their directed, independent learning.

Supporting equality and diversity
Booklets on Foundation Mathematics and Calculus are available for extra support. These booklets were written by members of the mathematics group especially for students experiencing difficulties with mathematics in their first year. Twice weekly MathsPlus sessions are available to students, where mathematics lecturers provide extra help on a one-to-one basis or to small groups of students.

Formative Assessment:
Tutorial Sheets containing exercises and practice online assessments will be used as formative assessment, with the opportunity for students to get feedback on written work.

Summative Assessment:
1. Combined Foundation Mathematics and Complex Numbers Test
2. Calculus Test
3. Vector and Descriptive Statistics Assessed problem sheet

The summative assessments comprise an online assessment, a written class test, and a short piece of coursework in the form of an assessed exercise sheet. The last assessment enables students to use Excel or another statistical package to meet LO6
The first assessment will take place in week 5.

Student Activity (Notional Equivalent Study Hours (NESH))
Mode of activityLearning & Teaching ActivityNESH (Study Hours)
Face To Face Lecture 36
Face To Face Tutorial 36
Independent Learning Guided independent study 128
Total Study Hours200
Expected Total Study Hours for Module200

Type of Assessment Weighting % LOs covered Week due Length in Hours/Words
Class Test 30 1 AND 2 AND 3 5 HOURS= 01.00, WORDS= 0
Class Test 35 4 11 HOURS= 01.00, WORDS= 0
Report 35 5 AND 6 14/15 HOURS= 02.00, WORDS= 0
Component 1 subtotal: 100
Component 2 subtotal: 0
Module subtotal: 100

Indicative References and Reading List - URL:
ELE07102 Foundation Mathematics