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]
|
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 2023/24, 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%:
The School has a 40% Rule for 1st and 2nd year courses, i.e. you must achieve a minimum of 40% in coursework and 40% in written exam components, as well as an overall mark of 40% to pass a course. 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 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 | Ordinary differential equations,Partial differential equations,Laplace transforms,Fourier series |
Contacts
| Course organiser | Dr Daniel Friedrich
Tel: (0131 6)50 5662
Email: |
Course secretary | Mr Tom Lawford-Groves
Tel: (0131 6)50 5687
Email: |
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