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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Mathematics for Science and Engineering 2b (MATH08070)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityNot available to visiting students
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) Credits10
Home subject areaMathematics Other subject areaNone
Course website None Taught in Gaelic?No
Course descriptionThis 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.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Mathematics for Science and Engineering 2a (MATH08069)
Prohibited Combinations Students MUST NOT also be taking Fundamentals of Pure Mathematics (MATH08064)
Other requirements None
Additional Costs None
Course Delivery Information
Delivery period: 2013/14 Semester 2, Not available to visiting students (SS1) Learn enabled:  Yes Quota:  None
Web Timetable Web Timetable
Course Start Date 13/01/2014
Breakdown of Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 22, Seminar/Tutorial Hours 10, Summative Assessment Hours 2, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 64 )
Additional Notes Students must pass exam and course overall.
Breakdown of Assessment Methods (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 %
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S2 (April/May)Mathematics for Science and Engineering 2b1:30
Resit Exam Diet (August)Mathematics for Science and Engineering 2b1:30
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.
Assessment Information
See 'Breakdown of Assessment Methods' and 'Additional Notes' above.
Special Arrangements
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]
Transferable skills Not entered
Reading list Students would be expected to own a copy of :
Modern Engineering Mathematics by Glyn James, Prentice Hall
Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall
Study Abroad Not entered
Study Pattern Not entered
Course organiserDr Noel Smyth
Tel: (0131 6)50 5080
Course secretaryMiss Denise Grassick
Tel: (0131 6)50 5059
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