# Course Title: Mathematics for university engineering

## Part A: Course Overview

Program: C6066

Course Title: Mathematics for university engineering

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)

CIVE5625

City Campus

TAFE

130T Infra, Electrotec & Build Serv

Face-to-Face

Course Contact: Tony Skinner Program Coordinator

Course Contact Phone: (03) 9925 4444

Course Contact Email: tony.skinner@rmit.edu.au

Course Description

This unit covers the competency to differentiate and integrate nth degree polynomials, exponential and logarithmic functions, trigonometric and inverse trigonometric functions and hyperbolic and inverse hyperbolic functions.
This unit also covers the skills and knowledge required in solving engineering mathematics problems by using differentiation, integration and systems of linear equations in conjunction with the deployment of a suitable software application package. This unit also covers the competencies achieved in first semester Engineering mathematics at university.

Pre-requisite Courses and Assumed Knowledge and Capabilities

EAX110 – Use calculus
EDX130 – Use mathematics at technician level
EDX140 – Use, quadratic, exponential, logarithmic and trigonometric functions and matrices

National Competency Codes and Titles

 National Element Code & Title: EAX095 Mathematics for university engineering Elements: Anti-derivatives or (indefinite integrals) are used to relate density, mass and moment Define and evaluate rate of change Exponential and Logarithmic functions are integrated Functions are graphed using the first and second derivative Functions are integrated using the properties of The Fundamental Theorem of Calculus Graph simple functions Hyperbolic and Inverse Hyperbolic Functions are differentiated and integrated Inverse Trigonometric Functions are integrated Systems of linear equations are used to solve Engineering mathematics problems The definite integral is applied to Engineering mathematics problems The derivative of a function is used to calculate rates of change. The derivatives of the six trigonometric functions are examined The maximum or minimum of functions in engineering situations is determined

Learning Outcomes

Anti-derivatives or (indefinite integrals) are used to relate density, mass and moment
Define and evaluate rate of change

Exponential and Logarithmic functions are integrated
Functions are graphed using the first and second derivative

Functions are integrated using the properties of The Fundamental Theorem of Calculus

Graph simple functions

Hyperbolic and Inverse Hyperbolic Functions are differentiated and integrated

Inverse Trigonometric Functions are integrated

Systems of linear equations are used to solve Engineering mathematics problems
The definite integral is applied to Engineering mathematics problems

The derivative of a function is used to calculate rates of change.

The derivatives of the six trigonometric functions are examined

The maximum or minimum of functions in engineering situations is determined

Overview of Assessment

The assessment comprises a combination of Assignments and Tests.
The students are required to complete:
Written Assignment 1 10% of the total marks
Written Test 1 40% of the total marks
Written Assignment 2 10% of the total marks
Written Test 2 40% of the total marks

• Vector and Matrix algebra, determinants, and systems of linear equations are assessed with Assignment 1 and Test 1.
• Differential and Integral calculus (functions of multiple variables, the double integral) and its applications (the rate of change, the density, mass, moment and area using integration) are assessed with Assignment 2 and Test 2.