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 2024/25, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 10,
Seminar/Tutorial Hours 5,
Feedback/Feedforward Hours 2,
Summative Assessment Hours 1.5,
Revision Session Hours 1,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
78 )

Assessment (Further Info) 
Written Exam
50 %,
Coursework
50 %,
Practical Exam
0 %

Additional Information (Assessment) 
Written Exam 50%:
Coursework 50%:
Students must pass the exam and the course overall. If you fail a course you will be required to resit it. You are only required to resit components which have been failed. 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)   1:30   Resit Exam Diet (August)   1:30  
Learning Outcomes
On completion of this course, the student will be able to:
 Calculate the solution of engineering problems described by linear, constant coefficient first and higher order differential equations
 Analyse and interpret the solutions to draw conclusions on the system behaviour
 Apply the Laplace transform to solve systems of linear, constant coefficient differential equations and to evaluate the stability of dynamic systems
 Use Fourier series analysis to approximate periodic functions, solve differential equations and analyse the response of systems to periodic forcing
 Distinguish between ordinary and partial differential equations and solve special cases of the wave equation

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  Dr Daniel Friedrich
Tel: (0131 6)50 5662
Email: D.Friedrich@ed.ac.uk 
Course secretary  Mr Tom LawfordGroves
Tel: (0131 6)50 5687
Email: t.lawfordgroves@ed.ac.uk 

