Course Title: Use technical mathematics (advanced)
Part B: Course Detail
Teaching Period: Term1 2015
Course Code: CIVE5674
Course Title: Use technical mathematics (advanced)
School: 130T Vocational Engineering
Campus: City Campus
Program: C6093 - Advanced Diploma of Engineering Design
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
Program Manager
Mr. Ahmet Ertuncay
Tel. +61 3 9925 8375
Email: ahmet.ertuncay@rmit.edu.au
Ms. Annabelle Lopez
Tel. +61 3 9925 4823
Email: annabelle.lopez@rmit.edu.au
Nominal Hours: 60
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
EDX130B Use technical mathematics (basic)
Course Description
This unit of competency deals with the skills and knowledge required to understand, solve and graph quadratic, exponential, logarithmic and trigonometric functions.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
EDX140B Use technical mathematics (advanced) |
Element: |
01. Determine non-linear laws by transforming them into linear form. |
Performance Criteria: |
01.0 The different types of polynomials and their respective characteristics are identified. |
Element: |
02. Graph exponential and logarithmic functions and solve exponential and logarithmic equations. |
Performance Criteria: |
02.0 Exponential expressions containing positive indices are simplified using the index laws. |
Element: |
03. Graph quadratic functions and solve quadratic equations. |
Performance Criteria: |
03.0 Distinction can be made between a relation and a function. |
Element: |
04. Graph trigonometric functions and solve trigonometric equations. |
Performance Criteria: |
04.0 Non linear data is transformed into linear data. |
Element: |
05. Solve practical problems using polynomials. |
Performance Criteria: |
05.0 Algebraic expressions are simplified using indices. |
Element: |
06. Solve vocational mathematical problems using simple algebraic functions and their graphs. |
Performance Criteria: |
06.0 Two simultaneous equations involving exponential, power and linear relationships are solved graphically. |
Element: |
07. Solve vocational mathematics problems using indices. |
Performance Criteria: |
07.0 Exponential and power equations are transposed into logarithmic form and plotted as linear graphs using log –log and semi-log scales. |
Element: |
08. Use matrix algebra and determinants to solve up to three linear equations in three unknowns. |
Performance Criteria: |
08.0 Sin, cos and tan functions are defined in terms of the unit circle. |
Element: |
09. Vocational growth and decay problems are solved using graphical methods. |
Performance Criteria: |
09.0 Oblique triangles are solved using the sine rule. |
Element: |
10. Vocational mathematical problems are solved using the unit circle definitions of trigonometric functions, graphs of circular functions and real number angular measure. |
Performance Criteria: |
10.0 Trigonometric expressions are simplified using the addition formulae. |
Element: |
11. Vocational mathematics problems are solved by determining empirical laws for data related by either an exponential or a power law. |
Performance Criteria: |
11.0Graphs of quadratic functions can be sketched and interpreted. |
Element: |
12. Vocational mathematics problems are solved using Trigonometric identities. |
Performance Criteria: |
12.0Arithmetic and algebraic expression can be manipulated and simplified using the laws of indices and logarithms. |
Element: |
13. Vocational mathematics problems are solved using the sine and or the cosine rule. |
Performance Criteria: |
13,0 The graphs of simple trigonometric functions can be sketched showing the significance of amplitude, period and phase angle. |
Element: |
14. Vocational mathematics problems involving exponential and logarithmic functions are solved. |
Performance Criteria: |
14.0The basic operations can be performed on matrices up to 3 x 3. |
Learning Outcomes
.
Details of Learning Activities
You will involve in the following learning activities to meet requirements for this course,
- Lectures
- Tutorials
Teaching Schedule
The proposed teaching schedule for this competency is detailed below:
Week | Topics Delivered | Element / Performance Criteria |
1 | Introduction to the competency Revision of Pre Requisite course Assignment (part A) handed out (worth 5% of total mark) due date end of week 4. | 1.0,1.1,1.2,1.3 |
2 | Indices and Radicals | 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7 |
3 | Polynomials | 2.0, 2.1, 2.2, 2.3, 2.4 |
4 | Polynomials/Functions and Graphs | 3.0, 3.1, 3.2, 3.3, 3.4 |
5 | Functions and Graphs Assignment handed out (worth 15% of total marks, due date end of week 16). |
3.5, 3.6, 3.7, 3.8, 3.9 4.0, 4.1, 4.2 |
6 | Logarithmic Functions | 5.0,5.1, 5.2, 5.3, 5.4, 5.5 |
7 | Exponential Functions | 5.6, 5.7, 5.8, 5.9, 5.10 |
8 | Practice test and revision |
1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 2.0, 2.1, 2.2, 2.3, 2.4,3.0, 3.1, 3.2, 3.3, 3.4,3.5, 3.6, 3.7, 3.8, 3.9 |
9 | Closed book Test (worth 40% of total mark) | 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 2.0, 2.1, 2.2, 2.3, 2.4,3.0, 3.1, 3.2, 3.3, 3.4,3.5, 3.6, 3.7, 3.8, 3.9 4.0, 4.1, 4.2,5.0,5.1, 5.2, 5.3, 5.4, 5.5 5.6, 5.7, 5.8, 5.9, 5.10 |
10 | Non Linear Empirical Equations | 6.0,6.1, 7.0,7.1, 7.2, 7.3 |
11 | Compound Interest, Exponential Growth and Decay) | 9.0,9.1, 9.2 |
12 | Determinants and Matrices | 8.0, 8.1, 8.2, 8.3, 8.4, 8.5 14.0,14.1, 14.2, 14.3 |
13 | Determinants and Matrices (cont.) | 8.1, 8.2, 8.3, 8.4, 8.5 14.1, 14.2, 14.3 |
14 | Circular Functions Trigonometry of Oblique Triangles | 10.0,10.1, 10.2, 10.3, 10.4, 10.5 11.0,11.1, 11.2, 11.3, 11.4 |
15 | Trigonometric Identities | 12.0, 12.1, 12.2, 12.3, 12.4, 12.5,12.6 13.0,13.1, 13.2 |
16 | Practice Exam and revision | 6.0,6.1, 7.0,7.1, 7.2, 7.3,8.0, 8.1, 8.2, 8.3, 8.4, 8.5 8.0, 8.1, 8.2, 8.3, 8.4, 8.5, 9.0,9.1, 9.2 10.0,10.1, 10.2, 10.3, 10.4, 10.5 11.0,11.1, 11.2, 11.3, 11.4,12.0, 12.1, 12.2, 12.3, 12.4, 12.5,12.6 13.0,13.1, 13.2 |
17 - 18 | Closed book Exam (worth 40% of total mark) | 6.0,6.1, 7.0,7.1, 7.2, 7.3,8.0, 8.1, 8.2, 8.3, 8.4, 8.5 8.0, 8.1, 8.2, 8.3, 8.4, 8.5, 9.0,9.1, 9.2 10.0,10.1, 10.2, 10.3, 10.4, 10.5 11.0,11.1, 11.2, 11.3, 11.4,12.0, 12.1, 12.2, 12.3, 12.4, 12.5,12.6 13.0,13.1, 13.2 |
Learning Resources
Prescribed Texts
‘Mathematics for technicians’, by Blair Alldis, 6th Edition |
References
Other Resources
Overview of Assessment
Assessment are conducted in both theoretical and practical aspects of the course according to the performance criteria set out in the National Training Package. Students are required to undertake summative assessments that bring together knowledge and skills. To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed under the Assessment Task Section.
Your assessment for this course will be marked using the following table:
NYC (<50%) Not Yet Competent
CAG (50-59%) Competent - Pass
CC (60-69%) Competent - Credit
CDI (70-79%) Competent - Distinction
CHD (80-100%) Competent - High Distinction
Assessment Tasks
- Assignments, 20%
- Test, 40%
- Exam , 40%
Assessment Matrix
Assessment vs EDX140B Elements & Performance Criteria.
EDX140B Elements & Performance Criteria | ||||||||||||||||||||||||||||||
Assessments | 1.0 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 2.0 | 2.1 | 2.2 | 2.3 | 2.4 | 3.0 | 3.1 | 3.2 | 3.3 | 3.4 | 3.5 | 3.6 | 3.7 | 3.8 | 3.9 | 4.0 | 4.1 | 4.2 | 5.0 | 5.1 | 5.2 | 5.3 |
Assignments | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Test | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Exam |
EDX140B Elements & Performance Criteria | |||||||||||||||||||||||||||
Assessments | 5.4 | 5.5 | 5.6 | 5.7 | 5.8 | 5.9 | 5.10 | 6.0 | 6.1 | 7.0 | 7.1 | 7.2 | 7.3 | 8.0 | 8.1 | 8.2 | 8.3 | 8.4 | 8.5 | 8.6 | 8.7 | 8.8 | 8.9 | 8.10 | 8.11 | 9.0 | 9.1 |
Assignments | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Test | x | x | x | x | x | x | x | ||||||||||||||||||||
Exam | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
EDX140B Elements & Performance Criteria | |||||||||||||||||||||||||
Assessments | 9.2 | 10.0 | 10.1 | 10.2 | 10.3 | 10.4 | 10.5 | 11.0 | 11.1 | 11.2 | 11.3 | 11.4 | 12.0 | 12.1 | 12.2 | 12.3 | 12.4 | 12.5 | 12.6 | 13.0 | 13.1 | 14.0 | 14.1 | 14.2 | 14.3 |
Assignments | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Test | |||||||||||||||||||||||||
Exam | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Other Information
In this course, minimum student directed hours are 12 in addition to 48 scheduled teaching hours.
Student directed hours involve completing activities such as reading online resources, assignments, report for practical work, and individual student-teacher course-related consultation.
Study and learning Support:
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
Please refer to http://www.rmit.edu.au/students/enrolment/credit to find more information about credit transfer and RPL.
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 to 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 to 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 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:
Please refer to http://www.rmit.edu.au/students/specialconsideration to find more information about special consideration.
Plagiarism:
Plagiarism is a form of cheating and it is very serious academic offence that may lead to expulsion from the university.
Please refer to http://www.rmit.edu.au/academicintegrity to find more information about plagiarism.
Email Communication:
All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails.
Course Overview: Access Course Overview