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DRPS : Course Catalogue : School of Engineering : School (School of Engineering)

Undergraduate Course: Engineering Mathematics 2B (SCEE08010)

Course Outline
SchoolSchool of Engineering CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryThis 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.
Course description Vector Calculus:
- Basic concepts, Transformations [1 lecture]
- Gradient [0.5 lecture]
- Divergence and curl [1.5 lectures]

- 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]
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-requisitesMathematics units passed equivalent to MSE1A, MSE1B and EM2A
Course Delivery Information
Academic year 2014/15, Available to all students (SV1) Quota:  None
Course Start Semester 2
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 20, 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 62 )
Assessment (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 %
Additional Information (Assessment) Written Exam 80%:
Practical Exam 0%:
Coursework 20%:
Students must submit a minimum of 4 out of the 5 coursework components to pass.
Students must pass the exam and the course overall.
Feedback Not entered
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S2 (April/May)Engineering Mathematics 2B1:30
Resit Exam Diet (August)Engineering Mathematics 2B1:30
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
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
KeywordsNot entered
Course organiserProf David Ingram
Tel: (0131 6)51 9022
Course secretaryMiss Lucy Davie
Tel: (0131 6)50 5687
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