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

## Part B: Course Detail

Teaching Period: Term1 2019

Course Code: MATH5268C

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

School: 174T School of VE Engineering, Health & Science

Campus: City Campus

Program: C6132 - Advanced Diploma of Engineering Technology

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

Teacher

Annabelle Lopez
Phone: +613 9925 4823
Email: annabelle.lopez@rmit.edu.au

Appointments by email

Program Manager
Dr. Amita Iyer
Phone: +61 3 9925 8311
Email:  amita.iyer@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 involve in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.
• Lectures
Tutorial

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

EA 1. Knowledge and Skill Base

EA1.1. Descriptive, formula-based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the practice area.
EA 1.2. Procedural-level understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the practice area.
EA 1.3. In depth practical knowledge and skills within specialist sub-disciplines of the practice area.
EA 1.4. Discernment of engineering developments within the practice area.
EA 1.5. Knowledge of contextual factors impacting the practice area.
EA 1.6. Understanding of the scope, principles, norms, accountabilities and bounds of contemporary engineering practice in the area of practice.

EA 2. Engineering Application Ability

EA 2.1. Application of established technical and practical methods to the solution of well-defined engineering problems.
EA 2.2. Application of technical and practical techniques, tools and resources to well defined engineering problems.
EA 2.3. Application of systematic synthesis and design processes to well defined engineering problems.
EA 2.4. Application of systematic project management processes.

EA 3. Professional and Personal Attributes

EA 3.1. Ethical conduct and professional accountability.
EA 3.2. Effective oral and written communication in professional and lay domains.
EA 3.3. Creative, innovative and pro-active demeanour.
EA 3.4. Professional use and management of information.
EA 3.5. Orderly management of self, and professional conduct.
EA 3.6. Effective team membership and team leadership.

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

Teaching Schedule

The proposed teaching schedule for this competency is detailed below:

 Week Topics Delivered Elements/Performance Criteria 1 Introduction to course, course guide, assessments, topics breakdown, resources, & OHS issues. Arithmetic Algebraic expressions and correct mathematical operation in correct order 2.1 2 Algebraic expressions and correct mathematical operation in correct order Assessment 1 Part A ­ Assignment is issued 2.1 1.1, 1.2, 1.3, 1.4 3 Algebraic expressions and correct mathematical operation in correct order Units of physical quantities, rational and irrational numbers, scientific natation, calculations based on estimating and approximating techniques 2.1 1.1,1.2,1.3,1.4 4 Units of physical quantities, rational and irrational numbers, scientific natation, calculations based on estimating and approximating techniques Assessment 1 Part A – Assignment Due (Week 4) Assessment 1 Part B – Assignment is issued 1.1,1.2,1.3,1.4 2.1, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 5.1, 5.2, 5.3, 6.1, 6.2, 7.1, 7.2 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. 5.1,5.2,5.3 7 Quadratic equations and solving simultaneous linear and quadratic equations 6.1, 6.2 8 Quadratic equations and solving simultaneous linear and quadratic equations. 6.1, 6.2 9 Quadratic equations and solving simultaneous linear and quadratic equations.　Continued 6.1, 6.2 10 Quadratic equations and solving simultaneous linear and quadratic equations. 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. 6.1, 6.2 　 3.1,3.2,3.3,3.4 　 　 　 1.1, 1.2, 1.3, 1.4, 2.1, 5.1, 5.2, 5.3 11 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. 3.1, 3.2, 3.3, 3.4 12 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. Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles. 3.1, 3.2, 3.3, 3.4 　 　 　 4.1, 4.2, 4.3, 4.4 13 Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles. Assessment 1 ­ Part B – Assignment Due (week 13) 4.1, 4.2, 4.3, 4.4 14 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 15 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. 7.1, 7.2 2.1, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 5.1, 5.2, 5.3, 6.1, 6.2, 7.1, 7.2 16 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. Assessment 2 – Test - Revision 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 6.1, 6.2, 7.1, 7.2 17-18 Assessment 2 – Test  Feedback 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 6.1, 6.2, 7.1, 7.2

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 minimum 24 hours outside the class time.

Learning Resources

Prescribed Texts

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

Assessment 2: Test

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

Assessment Mapping Matrix

 Elements/ Performance Criteria Covered 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

Assessment Tasks

Assessment Tasks

Assessment 1: Assignment
Part A, Week 4
Once deemed competent weighting towards final grade (%): 10%

Part B, Week 13
Once deemed competent weighting towards final grade (%): 40%

Assessment 2: Test , Week 17
Once deemed competent weighting towards final grade (%): 50%

All Assignments may 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:
CHD - Competent with High Distinction
CDI - Competent with Distinction
CC - Competent with Credit
CAG - Competency Achieved - Graded
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 2.1 3.1 3.2 3.3 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 1- Assignment x x x x x x x x x x x x x x x x x x x x Assessment 2- Test 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 Assessment 1- Assignment X X X X Assessment 2- Test X X X X All Assessments MEM30012A 2 2 0 0 0 0 2 0 0 0 0 2 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

Credit Transfer and/or Recognition of Prior Learning (RPL):
You may be eligible for credit towards courses in your program if you have already met the learning/competency outcomes through previous learning and/or industry experience. To be eligible for credit towards a course, you must demonstrate that you have already completed learning and/or gained industry experience that is:

• Relevant
• Current
• Satisfies the learning/competency outcomes of the course

Please refer to http://www.rmit.edu.au/students/enrolment/credit to find more information about credit transfer and RPL.

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

Please Refer http://www.rmit.edu.au/studyandlearningcentre to find more information about Study and learning Support

Equitable Learning Services (ELS):

If you are suffering from long-term medical condition or disability, you should contact Equitable Learning Services (ELS) to seek advice and support to complete your studies.
Please refer to https://www.rmit.edu.au/students/support-and-facilities/student-support/equitable-learning-services to find more information about services offered by Equitable Learning Services (ELS).

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 lodgment 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:

Please Refer http://www.rmit.edu.au/students/specialconsideration to find more information about special consideration

Plagiarism:

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

Please Refer: www.rmit.edu.au/academicintegrity to find more information about plagiarism.

Other Information:

All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails.

Course Overview: Access Course Overview