302353 (v.2) Mathematics 162


 

Area:Department of Mathematics and Statistics
Credits:25.0
Contact Hours:4.0
Lecture:1 x 3 Hours Weekly
Tutorial:1 x 1 Hours Weekly
Prerequisite(s):    302352 (v.2) Mathematics 161 or any previous version
    OR
    302355 (v.2) Mathematics 163 or any previous version
    OR
    302389 (v.1) Mathematics 165 or any previous version
Syllabus:Complex numbers. Functions of several variables. Partial derivatives. Vector functions and space curves. Gradient and directional derivatives. Maxima and minima. Lagrange multipliers. Ordinary, first and second order differential equations and modelling. Numerical solution of using Euler and Runge-Kutta methods. Eigenvalues and eigenvectors and applications. Systems of first order differential equations.
 
Unit Outcomes: On successful completion of this unit students will have basic skills in the algebra of matrices and vector spaces; Basic skills in the analytical solution of ordinary differential equations and understanding of their uses in real applications; Numericalskills in approximating solutions of ordinary differential equations.
Text and references listed above are for your information only and current as of September 30, 2003. Please check with the unit coordinator for up-to-date information.
Unit References: Kreyszig, E. 1993 Engineering Mathematics, 7th Edition, Wiley Publications. The Student Edition of Matlab, Version 4 User's Guide, published by Prentice Hall.
Unit Texts: Stewart, James. 1999 Calculus, Fourth edition, published by Brooks/Cole. Giannini, L.M. 1997, Introduction to Linear Algebra for Engineers and Scientists, Third edition Curtin Publication.
 
Unit Assessment Breakdown: 1 Mid-Semester Test worth 20%, 3 Assignments worth 15%, Final Exam (2-hour) worth 65%

 

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