Course Title: Apply Mathematical Solutions to Engineering Problems

Part B: Course Detail

Teaching Period: Term2 2010

Course Code: MATH7040

Course Title: Apply Mathematical Solutions to Engineering Problems

School: 130T Vocational Engineering

Campus: City Campus

Program: C6069 - Advanced Diploma of Engineering Technology

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 Names: Dr.Bill Chau / Mr. Darryl Cole / Mr. Jeremiah Naidu

bill.chau@rmit.edu.au

darryl.cole@rmit.edu.au

jeremiah.naidu@rmit.edu.au

Nominal Hours: 80

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

None

Course Description

This unit of competency sets out the knowledge and skills required to apply mathematical concepts and methods that are common to all engineering fields. This includes arithmetic, algebra, geometry, equations, functions, graphs and the use of scientific calculators but does not include differential and integral calculus.

Application of the unit
This unit of competency is intended to apply to any recognised development program that leads to the acquisition of a formal award at AQF level 5 or higher. It provides the mathematical background to work in a para-professional environment.


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VBP228 Apply Mathematical Solutions to Engineering Problems

Element:

Identify computational requirements.

Performance Criteria:

1.1 OH&S and environmental requirements for a given work area are obtained and understood.
1.2 The computational task is determined through requests, design briefs or equivalent and clarified with the appropriate personnel.
1.3 Where appropriate expert advice is sought with respect to the computational task and according to enterprise procedures.

Element:

Perform computation

Performance Criteria:

4.1 OH&S requirements for completing the work are followed.
4.2 Computations are performed and results recorded.
4.3 Decisions for dealing with unexpected situations are made from discussions with appropriate personnel, job specifications and enterprise procedures.
4.4 Methods for dealing with unexpected situations are selected on the basis of safety and specified work outcomes.

Element:

Select appropriate mathematical method.

Performance Criteria:

2.1 OH&S requirements for carrying out the work are followed.
2.2 Industry codes, regulations and technical documentation relevant to the computational task are interpreted and understood.
2.3 Where appropriate, tables and graphs are used to obtain computational data.
2.4 The appropriate assumptions underlying the computational task are made and recorded.
2.5 Resources required are identified, obtained and checked as fit for purpose.
2.6 The most appropriate computational method is selected and can be justified.

Element:

Use scientific calculator

Performance Criteria:

3.1 Arithmetic operations are performed, including decimals and fractions.
3.2 All calculator functions can be used in computational sequences.
3.3 Features of a scientific calculator are explained and exploited to efficiently perform computations.

Element:

Verify and interpret results.

Performance Criteria:

5.1 OH&S requirements for carrying out the work are followed.
5.2 Results are verified and discussed with appropriate personnel.
5.3 Where appropriate results are graphed or charted


Learning Outcomes


Not Applicable


Details of Learning Activities

The learning activities for this course include:
Attending lectures at which the course content will be presented and taught with appropriate examples
Completing the assigned questions during class time
Private study, consolidating the material provided/recommended in class and completing all required exercises and other tasks.


Teaching Schedule

TopicMonday
13:30 - 16:30
Friday
08:30 - 11:30
1. Introduction to Course, Arithmetic Operations - Fractions and Decimals05 & 12 / 07 / 2010..............
2. Arithmetic Operation, Use of Scientific Calculations, Powers of Tens and Roots..............9 & 16 / 07 / 2010
 3. Algebra - Linear Expressions and Equations, Simple Shapes19 & 26 / 07 / 2010..............
 4. Formulae: Evaluation and Transposition.............. 
 5. Geometry - Points, Lines, Rays and Angles, Angle of Triangle, Geometrical Constructions Using a Compass 02 & 09 / 08 / 2010..............
 6. Geometry of Triangles, Circles and Quadrilaterals.............. 06 & 13 / 08 / 2010
 7. Co-ordinarte Geometry 16 & 23 / 08 / 2010 ..............
 8. Revision, Introduction of Matrices and Handing Out of ASSIGNMENT ONE .............. 22 & 27 / 08 / 2010
 Term Break - No Class (30 / 08 / 2010 TO 03 / 09 / 2010  
 9. Unit Test No. 1 and Submission of ASSIGNMENT ONE 06 & 13 / 09 / 2010 ..............
 10.Matrices .............. 10 & 17 / 09 / 2010
 11. Quadratic Equations, Zero and Roots, Solutions of the Equations 20 & 27 / 09 / 2010 ..............
 12. Exponential and Logarithmic Functions .............. 24 / 09 / 2010 &
 01 / 10 / 2010
 13. Exponential and Logarithmic Functions 04 & 11 / 10 / 2010 ..............
 14. Introduction to Trigonometry .............. 15 & 22 / 10 /2010
 15. Trigonometry - Sine and Cosine Formula, Area of Triangle 18 & 25 / 10 / 2010 ..............
 16. Graphs and Charts .............. 29 / 10 / 2010 &
 05 / 11 / 2010
 17. Revision and Handing Out of ASSIGNMENT TWO 01 & 08 / 11 / 2010 ..............
 18. Unit Test No. 2 and Submission of ASSIGNMENT TWO .............. 05 & 12 / 11 /2010


Learning Resources

Prescribed Texts

Mathematics for Technicians seventh edition by Blair Alldis

0-07-471157-1


References


Other Resources

Calculator: TI 83/TI 83+/TI 84/TI 84+


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.

Evidence of student’s competence can be gathered through a variety of ways including:
• observation of processes and procedures;
• oral and/or written questioning on required knowledge and skills;
• testimony from supervisors, colleagues, clients and/or other appropriate
persons;
• inspection of the final product or outcome;
• a portfolio of documentary evidence.


Graded Assessment out of 100 Marks will be based on the results obtained for Assignments, Practical Reports & Unit Tests.
Students must gain a pass in ALL forms of assessment in order to gain this competency.


 


Assessment Tasks

1. Two Assignments each carries - 15 marks

2. Two Units of Examinations each carries - 35 marks


Assessment Matrix

MarkGradeDescription                         
TAFE1/01/1901GO1 - TAFE General
NN                                    Fail
PX Pass Only
PA Pass
S Supp Exam Granted
EX Exception Granted
DI Distinction
CR Credit
HD High Distinction
0-49NNFail
50-59PAPass
60-69CRCredit
70-79DIDistinction
80-100HDHigh Distinction

Course Overview: Access Course Overview