# Course Title: Differential Equations and Matrixes

## Part A: Course Overview

Program: C6050

Course Title: Differential Equations and Matrixes

Portfolio: SET

Nominal Hours: 60.0

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

### Teaching Period(s)

BUSM6021L

City Campus

TAFE

155T Life & Physical Sciences

Face-to-Face

Term1 2008,
Term2 2008,
Term1 2009,
Term2 2009

Course Contact: Selva Venkatesan

Course Contact Phone: +61 3 9925 4964

Course Contact Email: selva.venkatesan@rmit.edu.au

Course Description

Students will develop fundamental mathematical skills necessary to support articulation into tertiary studies in engineering. It involves mathematical objects such as differential equations, matrices and series, which are needed by electronic engineer.

Pre-requisite Courses and Assumed Knowledge and Capabilities

Satisfactory completion of Calculus and Vectors

National Competency Codes and Titles

 National Element Code & Title: UTENES008A Provide technical leadership in the workplace Elements: -

Learning Outcomes

1. Analyse and subsequently model physical situations described by differential equations

2. Interpret the solutions to first order linear and separable differential equations in terms of the physical problem

3 Interpret solutions to second order linear differential equations having constant coefficients which correspond to damping and resonance

4. Apply the concept of convergence of a series and investigate the behaviour of positive term and alternating series

5. Determine power series expansions for functions to manipulate standard power series

6. Perform basic operations on matrices

7. Use row-echelon forms to solve systems of linear equations and to determine the inverse of a matrix/

8. Interpret 3 X3 matrices geometrically, especially rotation matrices

9. Determine eigenvalues and eigenvectors of a matrix

10. Determine partial derivatives of a function of several variables and understand their physical/geometric significance

11. Use space curves to specify motion of a body through space and determine the body’s velocity

12. Determine the directional derivative and gradient of a scalar function

13. Understand the geometric significance of for a surface defined by

14. Apply functions of several variables to problems involving errors and maxima/minima

15. Evaluate simple double integrals and interpret as volume of region under a given surface

Overview of Assessment

Test 1 worth 50%
Test 2 worth 50%