7161 (v.5) Mathematics 172

Area:

Department of Mathematics and Statistics

Credits:

25.0

Contact Hours:

4.0

Lecture:

3 x 1 Hours Weekly

Tutorial:

1 x 1 Hours Weekly

Prerequisite(s):

    7160 (v.5) Mathematics 171 or any previous version
    OR
    10926 (v.5) Mathematics 103 or any previous version

Syllabus:

Matrix operations and inverses. Systems of linear equations. Vectors, dot and cross products. Equations of lines and planes. Vector spaces and subspaces. Complex numbers. De Moivre's Theorem. Ordinary differential equations - first and second orders. Euler and Runge Kutta methods. Second order linear differential equations with constant co-efficients.

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; Numerical skills 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%, 2 Assignments worth 15%, Final Exam (2-hour) worth 65%. This is by grade/mark assessment.

Year	Location	Period	Internal	Area External	Central External
2004	Bentley Campus	Semester 1	Y