# Course Title: Apply mathematical techniques in a manufacturing engineering or related environment

## Part A: Course Overview

Course Title: Apply mathematical techniques in a manufacturing engineering or related environment

Portfolio: SEH Portfolio Office

Nominal Hours: 40

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)

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email: engineering-tafe@rmit.edu.au

Course Description

This unit covers applies the concepts of mathematics to
appropriate and simple engineering situations within the
individual’s area of engineering expertise.

Pre-requisite Courses and Assumed Knowledge and Capabilities

None

National Competency Codes and Titles

 National Element Code & Title: MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment Elements: 1 Use concepts of arithmetic in the solution of engineering problems 1.1 Units of physical quantities are converted to facilitate engineering calculations. 1.2 Calculations are performed to solve problems involving rational and irrational numbers. 1.3 Scientific notation is used to represent numbers. 1.4 Calculations are checked for reasonableness using estimating and approximating techniques. 2 Solve engineering problems involving algebraic expressions with one independent variable 2.1 Algebraic expressions are manipulated using mathematical operations in their correct order. 3 Use two-dimensional geometry to solve practical problems 3.1 Angles expressed in degrees are correctly converted to radians and vice versa. 3.2 The perimeter, area, length and angles of a range of two-dimensional figures are correctly calculated. 3.3 The volume and surface area of complex figures are correctly calculated. 3.4 Points identified in terms of cartesian coordinates can be converted to polar coordinates and vice versa. 4 Use trigonometry to solve practical problems 4.1 Basic trigonometry functions are used to calculate the lengths of the sides of right-angled triangles. 4.2 Inverse trigonometry functions are used to determine angles in a right-angled triangle given the lengths of two sides. 4.3 The sine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles. 4.4 The cosine rule is used to determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle. 5 Graph linear functions 5.1 Linear functions are solved graphically and equations of straight lines are determined from the slope and one point, or two points. 5.2 Two linear functions are solved simultaneously both algebraically and geometrically. 5.3 The length and mid point of a line segment are determined. 6 Solve quadratic equations 6.1 Quadratic equations are solved. 6.2 Simultaneous linear and quadratic equations are solved. 7 Perform basic statistical calculations 7.1 Mean, median and mode are calculated from given data. 7.2 Standard deviation is calculated and interpreted employing graphical representation.

Learning Outcomes

Overview of Assessment

A person who demonstrates competency in this unit must
be able to apply mathematical skills and knowledge to
simple engineering applications. Evidence from tasks and
projects should/may be used to complement and
demonstrate integration of competency.