Course Title: Use technical mathematics (advanced)
Part B: Course Detail
Teaching Period: Term1 2010
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
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: |
1. Solve practical problems using polynomials |
Performance Criteria: |
1.0 The different types of polynomials and their respective characteristics are identified, |
Element: |
10. Vocational mathematics problems are solved using Trigonometric identities. |
Performance Criteria: |
10.0 Trigonometric expressions are simplified using the addition formulae. |
Element: |
11. Graph quadratic functions and solve quadratic equations |
Performance Criteria: |
11.0Graphs of quadratic functions can be sketched and interpreted. |
Element: |
12. Graph exponential and logarithmic functions and solve exponential and logarithmic equations. |
Performance Criteria: |
12.0Arithmetic and algebraic expression can be manipulated and simplified using the laws of indices and logarithms. |
Element: |
13. Graph trigonometric functions and solve trigonometric equations. |
Performance Criteria: |
13,0 The graphs of simple trigonometric functions can be sketched showing the significance of amplitude, period and phase angle. |
Element: |
14. Use matrix algebra and determinants to solve up to three linear equations in three unknowns. |
Performance Criteria: |
14.0The basic operations can be performed on matrices up to 3 x 3. |
Element: |
2. Solve vocational mathematics problems using indices. |
Performance Criteria: |
2.0 Exponential expressions containing positive indices are simplified using the index laws. |
Element: |
3. Solve vocational mathematical problems using simple algebraic functions and their graphs. |
Performance Criteria: |
3.0 Distinction can be made between a relation and a function |
Element: |
4. Determine non-linear laws by transforming them into linear form |
Performance Criteria: |
4.0 Non linear data is transformed into linear data |
Element: |
5. Vocational mathematics problems involving exponential and logarithmic functions are solved. |
Performance Criteria: |
5.0 Algebraic expressions are simplified using indices. |
Element: |
6. Vocational growth and decay problems are solved using graphical methods. |
Performance Criteria: |
6.0 Two simultaneous equations involving exponential, power and linear relationships are solved graphically. |
Element: |
7. Vocational mathematics problems are solved by determining empirical laws for data related by either an exponential or a power law. |
Performance Criteria: |
7.0 Exponential and power equations are transposed into logarithmic form and plotted as linear graphs using log –log and semi-log scales. |
Element: |
8. Vocational mathematical problems are solved using the unit circle definitions of trigonometric functions, graphs of circular functions and real number angular measure. |
Performance Criteria: |
8.0 Sin, cos and tan are defined in terms of the unit circle. |
Element: |
9. Vocational mathematics problems are solved using the sine and or the cosine rule. |
Performance Criteria: |
9.0 Oblique triangles are solved using the sine rule. |
Learning Outcomes
.
Details of Learning Activities
You will participate in individual and team problem solving activities related to typical engineering workplace problems. These activities involve class participation (discussions and oral presentations), prescribed exercises, homework, tutorials, application of theory to engineering problems and completion of calculations to industry standard, computer software application work in laboratory sessions (depending on availability of computer lab), tests and examination.
Teaching Schedule
This is an indicative teaching schedule. Refer to Online Blackboard announcements for changes.
Week 1 - Indices and Radicals Part I
Week 2 - Indices and Radicals Part II
Week 3 - Polynomials
Week 4 - Polynomials/Functions and Graphs
Week 5 - Functions and Graphs
Week 6 - Test 1 (Assessment 1)
Week 7 - Logarithmic Functions
Week 8 - Exponential Functions
Week 9 - Non Linear Empirical Equations
Week 10 - Compound Interest, Exponential Growth and Decay
Week 11 - Test 2 (Assessment 2)
Week 12 - Circular Functions
Week 13 - Trigonometry of Oblique Triangles
Week 14 - Trigonometric Identities
Week 15 - Determinants and Matrices Part I
Week 16 - Determinants and Matrices Part II
Week 17 - (Optional: Vector/Frame Analysis)
Week 18 - Test 3 (Assessment 3)
This is an indicative teaching schedule. Refer to Online Blackboard announcements for changes.
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
To be deemed competent students must demonstrate an understanding of all elements of a competency.
Students are advised that they are likely to be asked to personally demonstrate their assessment work to their teacher to ensure that the relevant competency standards are being met. Students will be provided with feedback throughout the course to check their progress.
Assessment details:
Assessment 1 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 30% of the final overall assessment mark.
Assessment 2 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 30% of the final overall assessment mark.
Assessment 3 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 40% of the final overall assessment mark.
Note: Students will not be entitled to any supplementary work. All assessments need to be passed.
Assessment Matrix
Other Information
The underpinning knowledge and skills for this course are listed in the accreditation document and are available upon request from your instructor.
Course Overview: Access Course Overview