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

## Part B: Course Detail

Teaching Period: Term2 2015

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: vocenengineering@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Teacher
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 involve in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.
• Lectures
• Tutorials

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. Algebraic expressions and correct mathematical operation in correct order 2.1 2 Algebraic expressions and correct mathematical operation in correct order Assignment PART A is issued 2.1 3 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 4 Units of physical quantities, rational and irrational numbers, scientific notation, calculations based on estimating and approximating techniques   Assignment PART A is due 1.1,1.2,1.3,1.4 5 Linear functions and linear graph, solving the linear functions simultaneously algebraically and geometrically. 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 for Test 1 6.1 8 Test 1 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. 3.1,3.2,3.3,3.4 10 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. Feedback on Test 1 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 Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles. 7.1, 7.2 14 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. Assignment PART B is due 7.1, 7.2 15 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2 16 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation. Revision for Test 2 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2 17 Test 2 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 7.1, 7.2 18 Feedback on Test 2 3.1,3.2,3.3,3.4, 4.1,4.2,4.3,4.4, 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

 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 (%): 40

Assessment 2: Test Part A

Weighting towards final grade (%): 20

and

Test Part B

Weighting towards final grade (%): 40

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

Assessment Mapping Matrix

 Elements/ Performance Criteria Assignment Test (Part A and Part B) 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% - Week 4 due

Assignment Part B - 30% - Week 14 due

Test 1-  20% - Week 8

Test 2 - 40% - Week 17

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 Tests 1 and 2 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 X X Tests 1 and 2 X X X X X All Assessments MEM30012A 3 3 0 0 1 0 2 0 0 0 0 3 0 0 2 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

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 seven calendar days or less (from the original due date) and have valid reasons, you must complete 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 two 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 seven calendar days (from the original due date), you must lodge an Application for Special Consideration form under the provisions of the Special Consideration Policy, preferably prior to, but no later than two 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: