Module title: Further Intermediate Mathematics

SCQF level: 08:
SCQF credit value: 20.00
ECTS credit value: 10

Module code: ELE08104
Module leader: Bill Robin
School School of Engineering and the Built Environment
Subject area group: Electronics Electrical and Mathematics
Prerequisites

ELE08103

2018/9, 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: Bill Robin
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 the application of complex analysis.

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 submission will be in the form of a report, and the student will be asked to research some historical information about Fourier himself, and to provide a brief written account of this. 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


Assessment
Type of Assessment Weighting % LOs covered Week due Length in Hours/Words
Class Test 20 1-3 7 HOURS= 1, WORDS= 0
Report 30 5 14/15 HOURS= 0, WORDS= 10 PAGES
Centrally Time Tabled Examination 50 1-6 14/15 HOURS= 2, WORDS= 0
Component 1 subtotal: 50
Component 2 subtotal: 50
Module subtotal: 100

Description of module content:

This module will consist of 6 main topics:
1. Consolidation of knowledge of calculus; solving ordinary differential equations.
2. Extension of an understanding of complex numbers
3. The solution of simple equations using numerical techniques
4. Understanding the character and application of Laplace Transforms
5. Definition and character of the Fourier Series, and their application.
6. 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 exponential form of complex numbers; understand sets in the complex plane.
LO2: use Newton Raphson iteration for solving roots of equations
LO3: solve first and second order ordinary differential equations using various techniques
LO4: construct Laplace transforms, identify their inverses, and apply this to engineering problems
LO5: construct Fourier series of a given function; hence develop the spectrum of a signal
LO6: understand the concept of a Partial Differential Equation and use separation of variables to solve such.

Indicative References and Reading List - URL:

Core - K.A. STROUD ENGINEERING MATHEMATICS, 6th ed.
Core - KULDEEP SINGH ENGINEERING MATHEMATICS THROUGH APPLICATIONS, 1st ed.
Core - K. A. STROUD AND D. BOOTH ADVANCED ENGINEERING MATHEMATICS, 4th ed.
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