Mathematics for Elec/Mech Eng 4 (U01690)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-2-me4

Partial differentiation with applications in Electrical Engineering and Mechanical Engineering; functions of two or more variables, contours (level sets); partial and directional derivatives, gradient, tangent plane, normals; differentials and chain rule; extrema; applications. 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 plane polar coordinates; line integrals (link to exact differentials, potential and work); surface integrals (flux); divergence, Green's and Stokes's theorems; applications and physical interpretations.

Entry Requirements

? Pre-requisites : Prior attendance at MAT-2-me3

? Prohibited combinations : MAT-2-mm3, MAT-2-mm4, MAT-2-SVC, MAT-2-MAM, MAT-2-mc4

Subject Areas

Home subject area

Mathematics for Physical Science & Engineering, (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 2nd year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 3 hour(s) per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
07/01/2008	10:00	11:00	Lecture Theatre A, JCMB	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	10:00	10:50	KB
Lecture	Thursday	10:00	10:50	KB

? Additional Class Information : Tutorials: Tu at 0900 and 1000

Summary of Intended Learning Outcomes

1. An ability to handle partial derivatives, to relate them to directional derivatives, contours and extrema of functions of several variables.
2. An understanding of vector fields, their divergence and curl.
3. An ability to use the basic vector differential identities.
4. A competence in evaluating repeated and multiple integrals.
5. An understanding of line integrals, their calculation and relation to the potential of a conservative field.
6. An ability to calculate integrals, such as flux, over simple curved surfaces.
7. An ability to use the divergence theorem and Stokes's theorem in simple situations, and a realization of their great practical importance.