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 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. 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, half-range [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]
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Information for Visiting Students
| Pre-requisites | 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 A-Level passes (A or B grade). |
| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2017/18, Available to all students (SV1)
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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 )
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| 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 three 20 mark compulsory questions and a compulsory multiple choice section. The coursework comprises 3 pieces of work of which all must be submitted. One will be peer assessed.
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| 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.
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Reading List
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
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | Ordinary differential equations,Partial differential equations,Laplace transforms,Fourier series |
Contacts
| Course organiser | Dr Nicholas Polydorides
Tel: (0131 6)50 2769
Email: N.Polydorides@ed.ac.uk |
Course secretary | Miss Lorna Brown
Tel: (0131 6)51 7073
Email: Lorna.Brown@ed.ac.uk |
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