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

## Part B: Course Detail

Teaching Period: Term1 2012

Course Code: MATH5268C

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

School: 130T Vocational Engineering

Campus: City Campus

Program: C6114 - Advanced Diploma of Engineering

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

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

Name and Contact Details of All Other Relevant Staff

Tel: 9925 4461

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.

Pre-requisites and Co-requisites

The are none

Course Description

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

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: MEM30012A Apply mathematical techniques in a manufacturing engineering or related environment Element: 1 Use concepts of arithmetic in the solution of engineering problems Performance Criteria: 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. Element: 2 Solve engineering problems involving algebraic expressions with one independent variable Performance Criteria: 2.1. Algebraic expressions are manipulated using mathematical operations in their correct order. Element: 3 Use two-dimensional geometry to solve practical problems Performance Criteria: 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. Element: 4 Use trigonometry to solve practical problems Performance Criteria: 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. Element: 5 Graph linear functions Performance Criteria: 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. Element: 6 Solve quadratic equations Performance Criteria: 6.1. Quadratic equations are solved. 6.2. Simultaneous linear and quadratic equations are solved. Element: 7 Perform basic statistical calculations Performance Criteria: 7.1. Mean, median and mode are calculated from given data. 7.2. Standard deviation is calculated and interpreted employing graphical representation.

Learning Outcomes

NA

Details of Learning Activities

Lectures and Tutorials.

Teaching Schedule

Please note: While your teacher will cover all the material in this schedule, the weekly teaching and assessment order is subject to change depending on class needs and availability of resources.

 Teaching Week Content Element Assessment 1&2 Introduction to the course, OH&S Brief Units of physical quantities, rational and irrational numbers, scientific natation, calculations based on estimating and approximating techniques 1 Assignment Test 3&4 Algebraic expressions and correct mathematical operation in correct order 2 Assignment Test 4&5 Linear functions and linear graph, solving the linear functions simultaneously by using algebraically and geometrically and determining the length and mid point of a line segment. 5 Assignment Test 5&6 Linear functions and linear graph, solving the linear functions simultaneously by using algebraically and geometrically and determining the length and mid point of a line segment. 5 Assignment Test 6&7 Quadratic equations and solving simultaneous linear and quadratic equations. 6 Assignment Test 8&9 Geometry including conversion of degrees to radians and vice versa, perimeter, area, length and angles of a two-dimensional figures, volume and surface area of complex figures, conversion between the Cartesian coordinates to polar and vice versa. 3 Assignment Test 9&10 Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles. 4 Assignment Test 11&12 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. 7 Assignment Test 13 Revision 1 to 7 Assignment Test 14 Final Test 1 to 7

Learning Resources

Prescribed Texts

 Blair Alldis, Mathematics for Technicians fifth edition

References

Other Resources

Class Notes and Tutorials
Any relevant online resources

Overview of Assessment

Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards. Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor. Feedback will be provided throughout the course.

Assessment Task One (Written Assignment )
Assessment Task Two (Open Book Test)

You will be marked using the following:

CA (Competency Achieved)
NYC  (Not yet Competent )
DNS (Did not Submit )

Assessment Matrix

 Assessment Element Performance Criteria Assessment Task One (Written Assignment One) 1 2 3 4 5 6 7 1.1,1.2,1.3,1.4 2.1 3.1,3.2,3.4 4.1,4.2,4.3,4.4 5.1,5.2,5.3 6.1,6.2 7.1,7.2 Assessment Task Two (Open Book Test) 1 2 3 4 5 6 7 1.1,1.2,1.3,1.4 2.1 3.1,3.2,3.4 4.1,4.2,4.3,4.4 5.1,5.2,5.3 6.1,6.2 7.1,7.2

Other Information

Study  and Learning Centre (SLC) provides free learning and academic development advice to all RMIT students.
Services offered by SLC to support numeracy and literacy skills of the students are:

assignment writing, thesis writing and study skills advice
maths and science developmental support and advice
English language development

Disability  Liaison Unit:

Students with disability or long-term medical condition should contact Disability Liaison Unit to seek advice and support to complete their studies.

Late submission:

Students requiring extensions for 7 calendar days or less (from the original due date) must complete and lodge an Application for Extension of Submittable Work (7 Calendar Days or less) form and lodge it with the Senior Educator/ Program Manager.
The application must be lodged no later than one working day before the official due date. The student will be notified within no more than 2 working days of the date of lodgment as to whether the extension has been granted.

Students seeking an extension of more than 7 calendar days (from the original due date) must lodge an Application for Special Consideration form under the provisions of the Special Consideration Policy, preferably prior to, but no later than 2 working days
after the official due date.

Assignments submitted late without approval of an extension will not be accepted or marked.

Special consideration:

Plagiarism:

Plagiarism is a form of cheating and it is very serious academic offence that may lead to expulsion from the University.