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

Part B: Course Detail

Teaching Period: Term1 2013

Course Code: MATH5268C

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

School: 130T Engineering (TAFE)

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

Teachers:

Ms. Yadana Wai (AER1A & AER1B)

Tel: 9925 4461

Email: yadana.wai@rmit.edu.au  

Dr. Frank (Yanan) Wang (MC1A, MC1B, MC1C)

Tel: 9925 4310

Email: yanan.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

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

Learning and simulated work activities to demonstrate an understanding of applied mathematical techniques in  engineering situations,

Classroom tutorial activities are to consolidate the theories mathematical principles applicable to engineering situations.

Assignment is related to design/ selection/ calculations of mathematical principles in engineering problems.
 

This course is accredited by Engineers Australia.

Engineering employment requires the capacity to work effectively in teams, to communicate effectively in both oral and writing and to learn effectively. In order to prepare students for employment as graduates they will be provided a quality assured teaching and learning environment which is conductive to the development of adult learning. Adult learning is characterised by the students accepting responsibility for their own learning and actively participating in the learning process as individuals and as contributors to the teams. Adult learning is the hallmark of a professional. The specific responsibilities as adult learners in respect of this subject are:
. to be aware of and to observe the regulations related to plagiarism
. to submit (on time) all work for assessment as required
. to complete all pre-reading and preparatory work prior to the class for which it will be used
. to effectively use the academic staff resources provided (consultation time, tutors, e- mail etc.,)
. to participate as an effective and honest member of a learning team
. to contribute effectively to a group of peers in a climate of mutual respect and to question each other and the academic staff when uncertain
 


Teaching Schedule

Please note: While your teacher will cover all the materials in the schedule, the weekly teaching and assessment order is subject to change depending on class needs and the availability of resources. 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 to do the assignment is 6 hours outside the class time.

Teaching Week Content
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

3 & 4 Algebraic expressions and correct mathematical operation in correct order
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.
7 Quadratic equations
8 & 9 Quadratic equations and solving simultaneous linear and quadratic equations.
10 & 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.
12 & 13 Trigonometry functions including basic right-angled triangles, inverse trigonometry functions, Sine rule and Cosine rules for non-right angled triangles.
14 Basic statistical functions including mean, median, mode and standard deviations calculations and graphical representation.
15 Revision
16 Final Assessment (Competency)
17 Assessment feedback and/ or Supplementaty assessment (Competency)
18 Assessment feedback and/ or Supplmentary assessment (Competency) if it is required


Learning Resources

Prescribed Texts

Blair Alldis, Mathematics for Technicians fifth edition


References


Other Resources

Blackboard 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 Tasks

Assessment Task 1 – Written Assignment     (CA/NYC)       50% of final marks
Assessment Task 2 – Final Open book Test   (CA/NYC)       50% of final marks
 
To be deemed competent students must satisfactorily demonstrate competence in all elements listed above. Assessment methods have been designed to measure achievement of each competency in a flexible manner over multiple tasks.
Students are advised that they will be asked to demonstrate their competence per student assignment and tests which will be used to assess their competence.
All assessments for this course must be successfully completed to achieve a CA (Competency Achieved) grade. Only if Competency is achieved will a graded result be given using the coding choices listed below:
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 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
 

Courses delivered in accordance with competency-based assessment, but which also utilise graded assessment.

CHD Competent with High Distinction
CDI Competent with Distinction
CC Competent with Credit
CAG Compentency achieved- Graded
NYC Not Yet Competent
DNS Did Not Submit for assessment

Other Information

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) you 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:
Special Consideration is a variation to an assessment which takes into account the impact of unexpected or extenuating circumstances which have affected a student’s performance in assessment or prevented them from attempting an assessment task, including an examination. Please Refer http://www.rmit.edu.au/browse/Current%20students/Administration/Assessment/Special%20consideration/ (unresolved) to find the latest information about the purpose, eligibility and process of special consideration and the online form.

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

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