# Course Title: Apply technical mathematics

## Part B: Course Detail

Teaching Period: Term1 2014

Course Code: MATH7062C

Course Title: Apply technical mathematics

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: vehs@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Contact Number: +61 3 9925 4461

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

Nil

Course Description

This unit of competency covers the application of mathematical analysis, graphical and software techniques to engineering problems. It includes exponential and logarithmic functions, trigonometric equations involving single and double angles, sequences and series, two dimensional vector analysis, complex numbers, determinants and matrices.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: MEM23004 Apply technical mathematics Element: 1. Determine scope of technical mathematical techniques required for an engineering application Performance Criteria: 1.1 Analyse an engineering application for required technical mathematical tasks 1.2 Develop systematic methods for layout and solution checking 1.3 Determine mathematical software required for analytical and graphical solutions and validate software using traditional solutions to simple examples Element: 2. Apply technical mathematical techniques to engineering application Performance Criteria: 2.1 Use appropriate software for analytical and graphical solutions 2.2 Convert between different number systems 2.3 Use appropriate mathematical techniques required for analysis and solution 2.4 Use appropriate data representations to communicate the solution to others 2.5 Report results and document calculations, graphs and analysis

Learning Outcomes

Refer to Elements

Details of Learning Activities

Learning Activities
You will involve in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.
• Tutorial
• Mathematical software simulations

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 MEM23004A in the Assessment Matrix.

Teaching Schedule

The proposed teaching schedule for this competency is detailed below:

 Week Topics Delievered Elements/Performance Criteria 1 Introduction to course, course guide, assessments, topics breakdown, resources, & OHS issues. Basic mathematical operations and Introduction to Mathematical software 1.1, 1.2, 2.3 2 Binomials and polynomials including the software analysis Portfolio Exercise 1 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 3 Exponential and logarithmic functions Portfolio Exercise 2 Portfolio Exercise 1 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 4 Exponential and logarithmic functions (Graph) including computer software analysis Portfolio Exercise 2 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 5 Arithmetic and algebraic expressions, sequences and series Portfolio Exercise 3 Portfolio Exercise 2 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 6 Basic Trigonometric ratio (Revision) and Portfolio feedback session 1 Assignment is issued Portfolio Exercise 3 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 7 Trigonometric equations Portfolio Exercise 4 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 8 Trigonometric equations including computer software analysis Portfolio Exercise 4 Portfolio Exercise 4 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 9 Two dimensional vectors Portfolio Exercise 5 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 10 Two dimensional vectors including computer software analysis Portfolio Exercise 5 Portfolio Exercise 5 is due Portfolio Feedback session 2 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 11 Determinant and matrices / System of linear equations Portfolio Exercise 6 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 12 Determinant and matrices including software analysis Portfolio Exercise 6 Portfolio Exercise 6 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 13 Number systems Portfolio Exercise 7 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 14 Complex number including the software analysis Portfolio Exercise 8 Portfolio Exercise 7 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 15 Statistics and probability including the software analysis Portfolio Exercise 9 Portfolio Exercise 8 is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 16 Revision and Portfolio Feedback session 3 Portfolio Exercise 9 is due Assignment is due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 17 Assignment Feedback session 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 18 Final Test 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5

Learning Resources

Prescribed Texts

 Class notes and tutorials

References

 Techanical Mathematics by John C.Peterson, 4th Edition, Cengage Learning Mathematics for techanicians by Allidis Blaie, any version, McGraw Hill MATLAB software (2013 version) Engineering Computations: An introduction using MATLAB and Excel by Jospeh Musto, William Howard, Richard Williams, McGraw-Hill's BEST, 2009

Other Resources

Audio-visual aids and course notes and relevant online resources.

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: Assessment Parts A and B
Weighting towards final grade (%) for Part A: 10
Weighting towards final grade (%) for Part B: 40

Assessment 2: Test

Weighting towards final grade (%): 50

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

Assessment Mapping Matrix

 Elements/ Performance Criteria Covered Assessment 1 Part A and B Test 1.1 X X 1.2 X X 1.3 X X 2.1 X X 2.2 X X 2.3 X X 2.4 X X 2.5 X X

• Portfolio exercises, 40%
• Assignment, 30%
• Final Test, 30%

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 MEM23004A Elements & Performance Criteria

 MEM23004A Elements & Performance Criteria Assessments 1.1 1.2 2.1 2.2 3.1 3.2 3.3 3.4 4.1 4.2 Portfolio exercises X X X X X X X X X X Assignment X X X X X X X X X X Final Test X X X X X X X X X X

Assessment vs Engineers Australia Stage 1 Competencies

 Engineers Australia Stage 1 Competencies Assessments 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 Portfolio exercises X X X X Assignment X X X X X Final test X X X X All assessments MEM23004A 3 3 3 0 0 0 3 0 0 0 0 1 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

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 20 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

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:

Plagiarism:

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