# Course Title: Use Calculus

## Part A: Course Overview

Program: C6066

Course Title: Use Calculus

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)

MATH5263

City Campus

TAFE

130T Infra, Electrotec & Build Serv

Face-to-Face

Term1 2008

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 functions related to practical problems
common to the Civil and Mechanical engineering disciplines.

Pre-requisite Courses and Assumed Knowledge and Capabilities

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: EAX110 Use Calculus Elements: • Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning • Applied problems are solved using derivatives and anti-derivatives of trigonometric functions • Applied problems are solved with the aid of Matlab • Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems • Electronics/Electrical Simple analytical and applied problems are solved by using 3 dimensional vectors • Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems • Mechanical/Civil Simple analytical and applied problems are solved by using complex numbers • Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions

Learning Outcomes

Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning
• Applied problems are solved using derivatives and anti-derivatives of trigonometric functions
• Applied problems are solved with the aid of Matlab
• Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems
• Electronics/Electrical Simple analytical and applied problems are solved by using 3 dimensional vectors
• Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems
• Mechanical/Civil Simple analytical and applied problems are solved by using complex numbers
• Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions

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

• Written assignment and a 2-hour examination for : Derivatives of algebraic, exponential and logarithmic functions, solving problems by finding the minimum and/or the maximum, interpretation of derivatives graphically, indefinite integrals, rate of change and other applications.
• Written assignment and a 2-hour examination for : Definite integrals and applications into finding the areas and volumes, first and second order differential equations with applications.