Undergraduate Course: Engineering Mathematics 2B (SCEE08010)
Course Outline
| School | School of Engineering |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Credits | 10 |
| Home subject area | School (School of Engineering) |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | This course is aimed at second year Engineering students :
Multivariate integration, vector calculus and partial differential equations for engineering. Gradient, tangent plane, normals; Scalar and vector fields; divergence and curl; conservative fields and potential; vector differential identities; simple applications from properties of continua and electromagnetism. Repeated multiple integration (change of order of integration); integration in non-cartesian coordinates, Jacobian; line integrals (link to potential and work); surface integrals (flux); divergence, Green's and Stokes' theorems; applications and physical interpretations; standard partial differential equations, wave equation, heat equation and Laplace's equation, solution of standard equations, D'Alembert solution for wave equation, separation of variables with Fourier series, Laplace transform methods.
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
| Additional Costs | Nil |
Information for Visiting Students
| Pre-requisites | Mathematics units passed equivalent to MSE1A, MSE1B and EM2A |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
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| Delivery period: 2014/15 Semester 2, Available to all students (SV1)
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Learn enabled: Yes |
Quota: None |
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Web Timetable |
Web Timetable |
| Course Start Date |
12/01/2015 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 10,
Formative Assessment Hours 2,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
62 )
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| Additional Notes |
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| Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
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| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S2 (April/May) | Engineering Mathematics 2B | 1:30 | | | Resit Exam Diet (August) | Engineering Mathematics 2B | 1:30 | |
Summary of Intended Learning Outcomes
1. An understanding of vector fields, their divergence and curl.
2. An ability to use the basic vector differential identities.
3. A competence in evaluating repeated and multiple integrals.
4. An understanding of line integrals, their calculation and
relation to the potential of a conservative field.
5. An ability to calculate integrals, such as flux, over simple
curved surfaces.
6. An ability to use the divergence theorem and Stokes's theorem
in simple situations, and a realization of their great
practical importance.
7. An understanding of the importance of the standard partial
differential equations.
8. The ability to solve the standard partial differential
equations using separation of variables and Laplace
transforms.
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Assessment Information
Written Exam 80%:
Practical Exam 0%:
Coursework 20%:
Students must pass the exam and the course overall.
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Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Vector Calculus:
- Basic concepts, Transformations [1 lecture]
- Gradient [0.5 lecture]
- Divergence and curl [1.5 lectures]
Integration:
- Double Integrals [3 lectures]
- Line integrals [2 lectures]
- Green's Theorem [1 lecture]
- Surface Integrals [2 lectures]
- Volume Integrals [1 lecture]
- Gauss' Theorem [1 lecture]
- Stokes' Theorem [1 lecture]
PDEs (analytically, no numerical):
- Wave equation, Heat or diffusion equation, Laplace equation
[1 lecture]
- Solution of wave equation, D¿Alembert solution, separated
solutions, Laplace transform [3 lectures]
- Solution of Heat or diffusion equation, separated solutions,
Laplace transform [2 lectures]
- Solution of Laplace equation, separated solutions [2 lectures]
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| Transferable skills |
Not entered |
| 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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| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | Not entered |
Contacts
| Course organiser | Dr 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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