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

## Part B: Course Detail

Teaching Period: Term2 2014

Course Code: MATH5268C

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

School: 130T Vocational Engineering

Campus: City Campus

Program: C6130 - Advanced Diploma of Engineering (Mechanical)

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email: vehs@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Mr. Serge Eljaste
Tel: 9925 4661
Email: sergei.eljaste@rmit.edu.au

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

Nil

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

Refer to Elements

Details of Learning Activities

You will be involved in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.
• Tutorial
• Lectures

Engineers Australia Mapping Information:
This course is mapped against stage 1 competencies for Engineering Associates developed by Engineers Australia as detailed below:

EA1.1. Comprehensive, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering
EA1.2. Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline.
EA1.3. In-depth understanding of specialist bodies of knowledge within the engineering discipline.
EA1.4. Discernment of knowledge development and research directions within the engineering discipline.
EA1.5. Knowledge of contextual factors impacting the engineering discipline.
EA1.6. Understanding of the scope, principles, norms, accountabilities and bounds of contemporary engineering practice in the specific discipline.
EA2.1. Application of established engineering methods to complex engineering problem solving.
EA2.2. Fluent application of engineering techniques, tools and resources.
EA2.3. Application of systematic engineering synthesis and design processes.
EA2.4. Application of systematic approaches to the conduct and management of engineering projects.
EA3.1. Ethical conduct and professional accountability.
EA3.2. Effective oral and written communication in professional and lay domains.
EA3.3. Creative, innovative and pro-active demeanour.
EA3.4. Professional use and management of information.
EA3.5. Orderly management of self and professional conduct.
EA3.6. Effective team membership and team leadership

Engineers Australia Stage 1 Competencies are mapped with competency MEM30012A in the Assessment Matrix.

Teaching Schedule

 Week Topics Delivered Elements/Performance Criteria 1 Introduction to course, course guide, assessments, topics breakdown, resources, & OHS issues. Algebraic expressions and correct mathematical operation in correct order Assignment PART A is issued 2.1 2 Algebraic expressions and correct mathematical operation in correct order 2.1 3 Units of physical quantities, rational and irrational numbers, scientific notation, calculations based on estimating and approximating techniques Assignment PART A (due) 1.1,1.2,1.3,1.4 4 Units of physical quantities, rational and irrational numbers, scientific notation, calculations based on estimating and approximating techniques 1.1,1.2,1.3,1.4 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. 5.1,5.2,5.3 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. Assignment PART A feedback is given 5.1,5.2,5.3 7 Quadratic equations Quadratic equations and solving simultaneous linear and quadratic equations. Revision on quiz 1 6.1 8 Quiz 1 (topic cover from week 1 to 7) 1.1, 1.2, 1.3, 1.4, 2.1, 5.1, 5.2, 5.3, 6.1 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. Quiz 1 (Feedback) 3.1,3.2,3.3,3.4 10 Quiz 1 Re-assessment 1.1, 1.2, 1.3, 1.4, 2.1, 5.1, 5.2, 5.3, 6.1 11 Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles. 4.1,4.2,4.3,4.4 12 Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles. 4.1,4.2,4.3,4.4 13 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. 7.1, 7.2 14 Assignment PART B (due) Revision on quiz 2 7.1, 7.2 15 Quiz 2 (topic covered from week 9, week 10, week 12, week 13 and week 14) 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2 16 & 17 Quiz 2 (Feedback) 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2 18 Quiz 2 Re-assessment 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2

Learning Resources

Prescribed Texts

 Blair Alldis, Mathematics for Technicians, McGraw Hill Australia Pty Limited.

References

Other Resources

Class Notes and tutorial materials

Overview of Assessment

The assessment is conducted in both theoretical and practical aspects of the course according to the performance criteria set in the National Training Package. 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. To successfully complete this course you will be required to demonstrate competency in each assessment task detailed under Assessment Tasks:

Assessment 1: Assignment

Weighting towards final grade (%): 50

Assessment 2: Test

Weighting towards final grade (%): 50

These tasks assesses the following Course Learning Outcomes (CLOs):

Assessment Mapping Matrix

 Elements/ Performance Criteria Assignment Test 1.1 x x 1.2 x x 1.3 x x 1.4 x x 2.1 x x 3.1 x x 3.2 x x 3.3 x x 3.4 x x 4.1 x x 4.2 x x 4.3 x x 4.4 x x 5.1 x x 5.2 x x 5.3 x x 6.1 x x 6.2 x x 7.1 x x 7.2 x x

• Assignment, Part A:10%, Part B: 30%
• Quiz 1, 30%
• Quiz 2, 30%

All Assignments will go through Academic Integrity Check software TurnItIn. Please also refer to the marking guide for more detail information about all assessments.

This course is graded as Competent or Not Yet Competent and subsequently the following course grades are allocated:
80 - 100: CHD - Competent with High Distinction
70 - 79: CDI - Competent with Distinction
60 - 69: CC - Competent with Credit
50 - 59: CAG - Competency Achieved - Graded
0 - 49: NYC - Not Yet Competent
DNS - Did Not Submit for Assessment.

Assessment Matrix

Assessment vs MEM30012A Elements & Performance Criteria

 MEM30012A Elements & Performance Criteria Assessments 1.1 1.2 1.3 1.4 1.5 1.6 2.1 2.2 2.3 2.4 2.5 2.6 2.7 3.1 3.2 3.3 3.4 3.5 3.6 3.7 Assignment x x x x x x x x x x x x x x x x x x x x Quizzes x x x x x x x x x x x x x x x x x x x x

Assessment vs Engineers Australia Stage 1 Competencies

 Engineers Australia Stage 1 Competencies EA1.1 EA1.2 EA1.3 EA1.4 EA1.5 EA1.6 EA2.1 EA2.2 EA2.3 EA2.4 EA3.1 EA3.2 EA3.3 EA3.4 EA3.5 EA3.6 Assignment X X X X Quizzes X X X All Assessments MEM30012A 3 3 0 0 0 0 2 0 0 0 0 3 0 0 0 0 0 (Blank) Graduate attribute is not assessed. 1 Graduate attribute is assessed in at least one, but less than one-third, of the Element 2 Graduate attribute is assessed in at least one third, but less than two-thirds, of the Element 3 Graduate attribute is assessed in more than two-thirds of the Element

Other Information

Student directed hours involve completing activities such as reading online resources, assignments, individual student-teacher course-related consultation. Students are required to self-study the learning materials and complete the assigned out of class activities for the scheduled non-teaching hours. The estimated time is 25 hours outside the class time.

Study and Learning Support:

Study and Learning Centre (SLC) provides free learning and academic development advice to you. Services offered by SLC to support your numeracy and literacy skills are:

- Assignment writing, thesis writing and study skills advice
- Maths and science developmental support and advice
- English language development

Disability Liaison Unit:

If you are suffering from long-term medical condition or disability, you should contact Disability Liaison Unit to seek advice and support to complete your studies.

Late Submission:

If you require an Extension of Submittable Work (assignments, reports or project work etc.) for 7 calendar days or less (from the original due date) and have valid reasons, you 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. You will be notified within no more than 2 working days of the date of lodgement as to whether the extension has been granted.

If you seek an Extension of Submittable Work for 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.

Submittable Work (assignments, reports or project work etc.) submitted late without approval of an extension will not be accepted or marked.

Special Consideration: