Undergraduate Course: Engineering Mathematics 2A (SCEE08009)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  Ordinary differential equations, transforms and Fourier series with applications to engineering. Linear differential equations, homogeneous and nonhomogeneous equations, particular solutions for standard forcings; Laplace transforms and applications; standard Fourier series, half range sine and cosine series, complex form; convergence of Fourier series, differentiation and integration of Fourier series. Introduction to Partial Differential Equations. 
Course description 
Differential Equations:
 Linear Differential Equations [1 lecture]
 Linear constant coefficient Differential Equations [3 lectures]
 Second order linear constant coefficient differential equations, forcing and damping [2 lectures]
Laplace Transforms:
 Definition, simple transforms, properties, inverse and shift theorem [3 lectures]
 Solution of ODEs [3 lectures]
Fourier Series:
 Fourier series, coefficients, even/odd functions, linearity, convergence [2 lectures]
 Full range, halfrange [2 lectures]
 Integration and differentiation of Fourier series [1 lecture]
Partial Differential Equations:
 Wave equation, Heat or diffusion equation, Laplace equation [1 lecture]
 Solution of wave equation, D'alembert solution, separated solution [2 lectures]

Information for Visiting Students
Prerequisites  Mathematics units passed equivalent to Mathematics for Science and Engineering 1a and Mathematics for Science and Engineering 1b, or Advanced Higher Mathematics (A or B grade) or Mathematics and Further mathematics ALevel passes (A or B grade). 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2015/16, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 20,
Seminar/Tutorial Hours 5,
Formative Assessment Hours 2,
Summative Assessment Hours 10,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Written Exam 80%:
Coursework 20%:
Students must pass both the Exam and the Coursework. The exam is made up of five 20 mark compulsory questions. The coursework comprises 5 pieces of work of which a minimum of 4 must be submitted.

Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)  Engineering Mathematics 2A  1:30   Resit Exam Diet (August)  Engineering Mathematics 2A  1:30  
Learning Outcomes
On completion of this course, the student will be able to:
 An ability to solve important classes of first and second order differential equation problems.
 An ability to interpret solutions and draw conclusions from them.
 A competence in using Laplace transform tables, including the shift theorems, with ability to solve initial value problems for ODEs.
 Familiarity with methods for treating coupled sets of ODEs.
 An ability to determine Fourier series for some basic periodic functions, with some appreciation of how a series converges to a periodic waveform. A basic understanding of the complex Fourier series. An Introduction to Partial Differential Equations.

Reading List
Students are expected to own a copy of :
1. Modern Engineering Mathematics by Glyn James, Prentice Hall,
ISBN 978027373413X
2. Advanced Modern Engineering Mathematics by Glyn James,
Prentice Hall, ISBN 9780273719236

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Ordinary differential equations,Partial differential equations,Laplace transforms,Fourier series 
Contacts
Course organiser  Prof David Ingram
Tel: (0131 6)51 9022
Email: David.Ingram@ed.ac.uk 
Course secretary  Miss Lucy Davie
Tel: (0131 6)51 7073
Email: Lucy.Davie@ed.ac.uk 

