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

Part B: Course Detail

Teaching Period: Term1 2014

Course Code: MATH5268C

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

School: 130T Vocational Engineering

Campus: City Campus

Program: C4327 - Certificate IV in Tertiary Preparation

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

Teachers:

Mr. Andrew Kim
Tel: 9925 4295
Email: andrew.kim@rmit.edu.au
 

Ms. Yadana Wai
Tel: 9925 4461
Email: yadana.wai@rmit.edu.au
 

Dr. Frank (Yanan) Wang
Tel: 9925 4310
E:mail: frank.wang@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



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.
• 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

 

WeekTopics DeliveredElements/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
2Algebraic expressions and correct mathematical operation in correct order 2.1
3Units of physical quantities, rational and irrational numbers, scientific natation, calculations based on estimating and approximating techniques
Assignment PART A is due
 
1.1,1.2,1.3,1.4
4Units of physical quantities, rational and irrational numbers, scientific natation, calculations based on estimating and approximating techniques1.1,1.2,1.3,1.4
5Linear 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
7Quadratic equations
Quadratic equations and solving simultaneous linear and quadratic equations.
Revision on quiz 1

 
6.1
8Quiz 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 (Competency assessment only and non-graded assessment)
1.1, 1.2, 1.3, 1.4, 2.1, 5.1, 5.2, 5.3, 6.1
11Trigonometry 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
14Assignment PART B is due
Revision on quiz 2
 
7.1, 7.2
15Quiz 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 & 17Quiz 2 (Feedback)3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2
18Quiz 2 Re-assessment (Competency assessment only and non-graded 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

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.
Assessment are conducted in both theoretical and practical aspects of the course according to the performance criteria set out in the National Training Package. Students are required to undertake summative assessments that bring together knowledge and skills. To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed under the Assessment Task Section.

Your assessment for this course will be marked using the following table:

NYC (<50%) Not Yet Competent

CAG (50-59%) Competent - Pass

CC (60-69%) Competent - Credit

CDI (70-79%) Competent - Distinction

CHD (80-100%) Competent - High Distinction


Assessment Tasks

• Assignment, Part A:10%, Part B: 30%
• Quizzes, 60%


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
Assessments1.11.21.31.41.51.62.12.22.32.42.52.62.73.13.23.33.43.53.63.7
Assignmentxxxxxxx x x x x x x x x x x x x x
Quizzesxxxxxxxxxxxxxxxxxxxx

 Assessment vs Engineers Australia Stage 1 Competencies

Engineers Australia Stage 1 Competencies
 EA1.1EA1.2EA1.3EA1.4EA1.5EA1.6EA2.1EA2.2EA2.3EA2.4EA3.1EA3.2EA3.3EA3.4EA3.5EA3.6
Assignment X X    X    X    
Quizzes X X         X    
All Assessments

MEM30012A
 

3300002000030000
0 (Blank)Graduate attribute is not assessed.
1Graduate attribute is assessed in at least one, but less than one-third, of the Element
2Graduate attribute is assessed in at least one third, but less than two-thirds, of the Element
3Graduate 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

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

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.

Please refer http://www.rmit.edu.au/disability to find more information about services offered by Disability Liaison Unit.

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:

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

Email Communication:

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

Course Overview: Access Course Overview