# Course Title: Apply technical mathematics

## Part B: Course Detail

Teaching Period: Term1 2016

Course Code: MATH7062C

Course Title: Apply technical mathematics

School: 130T Vocational Engineering

Campus: City Campus

Program: C6132 - Advanced Diploma of Engineering Technology

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

Dr. A R M Muniruzzaman
Program Manager
Ph: +61 3 9925 4415
Email: munir.muniruzzaman@rmit.edu.au

Appointments by email

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: MEM23004A Apply technical mathematics Element: 1 Determine scope of technical mathematical techniques required for an engineering application Element: 2 Apply technical mathematical techniques to engineering application 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

You will be involved in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.

• Lectures
• Tutorials
• 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:

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 MEM23004A 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. Basic mathematical operations and Introduction to Mathematical software 1.1, 1.2, 2.3 2 Binomials and polynomials including the software analysis Assessment 1 Part A - Exercise 1 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 3 Exponential and logarithmic functions Assessment 1 Part A - Exercise 2 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 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 5 Arithmetic and algebraic expressions, sequences and series Assessment 1 Part B - Exercise 3 Assessment 1 Part A (Exercise 1 and 2) - due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 6 Basic Trigonometric ratio Assessment 1 Part A - feedback 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 7 Trigonometric equations 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 8 Trigonometric equations including computer software analysis Assessment 1 Part B - Exercise 4 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 9 Two dimensional vectors Assessment 1 Part B (Exercises 3 and 4) - due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 10 Two dimensional vectors including computer software analysis   Assessment 1 Part C - Exercise 5 Assessment 1 Part B - Feedback 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 11 Determinant and matrices / System of linear equation 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 12 Determinant and matrices including software analysis   Assessment 1 Part C - Exercise 6 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 13 Number systems Assessment 1 Part C - 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 Assessment 1 Part C - Exercise 8 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 15 Statistics and probability including the software analysis Assessment 1 Part C - Exercise 9 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 16 Revision Assessment 1 Part C (Exercises 5 to 9) - due 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5 17-18 Assessment 2 – Test Feedback 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5

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 25 hours outside the class time.

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 (2014 version) Engineering Computations: An introduction using MATLAB and Excel by Jospeh Musto, William Howard, Richard Williams, McGraw-Hill’s BEST, 2009

Other Resources

Students will be able to access information and learning materials through myRMIT and may be provided with additional materials in class. List of relevant reference books, resources in the library and accessible Internet sites will be provided where possible. During the course, you will be directed to websites to enhance your knowledge and understanding of difficult concepts.

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 Part A

Assessment 1: Assessment Part B

Assessment 2: Test

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

Assessment Mapping Matrix

 Elements/Performance Criteria 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

Assessment 1: Part A - Week 5, Part B - Week 9 and Part C - Week 16
Weighting towards final grade Part A (%): 10%
Weighting towards final grade Part B (%): 20%
Weighting towards final grade Part C (%): 20%

Assessment 2: Test, Week 17
Weighting towards final grade (%): 50%

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 1.3 2.1 2.2 2.3 2.4 2.5 Assessment 1 (Part A, B and C) X X X X X X X X Test 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 Assessment 1 Pt A, B and C X X X X X X X X Test X X X X X X X X All assessments MEM23004A 3 3 3 0 2 0 3 0 0 0 2 2 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: