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. |
| 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]
|
Entry Requirements (not applicable to Visiting Students)
| 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 |
Information for Visiting Students
| 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). |
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 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 | |
Learning Outcomes
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.
|
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
|
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | Not entered |
Contacts
| Course organiser | Prof David Ingram
Tel: (0131 6)51 9022
Email: |
Course secretary | Miss Lucy Davie
Tel: (0131 6)50 5687
Email: |
|
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|
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