Core Module Information
Module title: Advanced Mathematics

SCQF level: 09:
SCQF credit value: 20.00
ECTS credit value: 10

Module code: ELE09115
Module leader: Kate Durkacz
School School of Engineering and the Built Environment
Subject area group: Engineering and Mathematics


Description of module content:

This module will consist of 6 main topics:
1. Consolidation of knowledge of calculus; introduction to vector calculus.
2. Consolidation of the knowledge of calculus;solving ordinary differential equations.
3. Understanding the character and application of Laplace Transforms
4. Definition and character of the Fourier Series, and their application.
5. Understanding the nature of partial differential equations and their solution.

Learning Outcomes for module:

On completion of this module you will be able to:
LO1: use vector calculus - divergence. gradient and curl.
LO2: construct Laplace transforms, identify their inverses, and apply this to engineering problems
LO3: solve first and second order ordinary differential equations using various techniques
LO4: construct Fourier series of a given function.
LO5: understand the concept of a Partial Differential Equation and use the method of separation of variables.

Full Details of Teaching and Assessment
2022/3, Trimester 2, 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: Kate Durkacz
Module Organiser:

Learning, Teaching and Assessment (LTA) Approach:
Learning & teaching methods including their alignment to LOs
Students will be taught in interactive groups. Mathematical software environments will be used to enhance the teaching and learning. For part of the student centred learning, the use of computer graphics and screen based manipulation of mathematical forms will inform the student appreciation for mathematical concepts. Group tutorials will encourage students to help each other, and to obtain detailed explanation from tutors during the course of the module delivery.

Embedding of employability/PDP/scholarship skills
The module will be relevant to all engineering disciplines. Moreover facility with computer software packages to address engineering problems will be an important additional benefit so far as employability is concerned. The writing of a report, with emphasis on clarity and graphic illustration will prove a useful adjunct to the mathematical curriculum.

Research/teaching linkages
The topics covered in this module are typically active research areas, in particular the understanding of Fourier concepts, and partial differential equations.

Formative Assessment:
The initial assessments will prove formative in the development of mathematical skills, providing feedback to the student at various early stages of module delivery.

Summative Assessment:
The first assessment is a class test on the initial topics delivered on the module; the second assessment is a MathCAD assignment focussed on developing a Fourier Series representation of a provided wave-form. The module concludes with a summative final examination which will encourage the student to pull together the various strands of the syllabus.

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 126
Face To Face Centrally Time Tabled Examination 2
Total Study Hours200
Expected Total Study Hours for Module200

Type of Assessment Weighting % LOs covered Week due Length in Hours/Words
Class Test 20 2,3 7 HOURS= 01.00, WORDS= 0
Report 30 4 14/15 HOURS= 00.00, WORDS= 3000
Centrally Time Tabled Examination 50 1-6 14/15 HOURS= 2, WORDS= 0
Component 1 subtotal: 50
Component 2 subtotal: 50
Module subtotal: 100

Indicative References and Reading List - URL:
Contact your module leader