# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2014/2015 Archive for reference only THIS PAGE IS OUT OF DATE

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# Undergraduate Course: Engineering Mathematics 2A (SCEE08009)

 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 non-homogeneous 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. Course description Differential Equations: - Linear Differential Equations [1 lecture] - Linear constant coefficient Differential Equations [3 lectures] - Numerical Methods [1 lecture] - 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 [4 lectures] Fourier Series: - Fourier series, coefficients, even/odd functions, linearity, convergence [3 lectures] - Full range, half-range [2 lectures] - Integration and differentiation of Fourier series [1 lecture]
 Pre-requisites Co-requisites Prohibited Combinations Other requirements None Additional Costs Students are expected to own a copy of : 1. Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-73413-X 2. Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-71923-6
 Pre-requisites Mathematics units passed equivalent to MSE1A and MES1B, or Advanced Higher Mathematics (A or B grade) or Mathematics and Further mathematics A-Level passes (A or B grade).
 Academic year 2014/15, Available to all students (SV1) Quota:  None Course Start Semester 1 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 22, Seminar/Tutorial Hours 10, Formative Assessment Hours 2, Summative Assessment Hours 3.5, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 60 ) Assessment (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 % Additional Information (Assessment) Written Exam 80%: Practical Exam 0%: Coursework 20%: Students must pass the exam and the course overall. 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
 1. An ability to solve important classes of first- and second- order differential equation problems. 2. An ability to interpret solutions and draw conclusions from them. 3. A competence in using Laplace transform tables, including the shift theorems, with ability to solve initial value problems for ODEs. 4. Familiarity with methods for treating coupled sets of ODEs. 5. An ability to determine Fourier series for some basic periodic functions, with some appreciation of how a series converges to a periodic waveform. 6. A basic understanding of the complex Fourier series.
 Students are expected to own a copy of : 1. Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-73413-X 2. Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-71923-6
 Graduate Attributes and Skills Not entered Keywords Not entered
 Course organiser Prof David Ingram Tel: (0131 6)51 9022 Email: David.Ingram@ed.ac.uk Course secretary Miss Lucy Davie Tel: (0131 6)50 5687 Email: Lucy.Davie@ed.ac.uk
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