Course Title: Use mathematics for higher level engineering
Part B: Course Detail
Teaching Period: Term2 2010
Course Code: CIVE5699
Course Title: Use mathematics for higher level engineering
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)
EDX140B Use technical mathematics (advanced)
EAX110B Use calculus
Course Description
This unit covers the competency to differentiate and integrate nth degree polynomials, exponential and logarithmic functions, trigonometric and inverse trigonometric functions and hyperbolic and inverse hyperbolic functions.
This unit also covers the skills and knowledge required in solving engineering mathematics problems by using differentiation, integration and systems of linear equations in conjunction with the deployment of a suitable software application package. This unit also covers the competencies achieved in first semester Engineering athematics at university.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
EAX095B Use mathematics for higher level engineering |
Element: |
Antiderivatives or (indefinite integrals) are used to relate density, mass and moment. |
Performance Criteria: |
8.0 The mass of a beam is determined using integration |
Element: |
Define and evaluate rate of change |
Performance Criteria: |
3.0 Functions are examined for various limits |
Element: |
Exponential and Logarithmic functions are integrated |
Performance Criteria: |
11.0 An inverse function is defined. |
Element: |
Functions are graphed using the first and second derivative. |
Performance Criteria: |
6.0 Critical values are used to define stationary and inflection points. |
Element: |
Functions are integrated using the properties of The Fundamental Theorem of Calculus |
Performance Criteria: |
9.0 Definite integrals are derived and calculated. |
Element: |
Graph simple functions |
Performance Criteria: |
1.0 Numbers are identified as R |
Element: |
Hyperbolic and Inverse Hyperbolic Functions are differentiated and integrated |
Performance Criteria: |
13.0 Cosh x, sinh x, tanh x are defined. |
Element: |
Inverse Trigonometric Functions are integrated |
Performance Criteria: |
12.0 Inverse trigonometric functions are defined |
Element: |
Systems of linear equations are used to solve Engineering mathematics problems |
Performance Criteria: |
2.0 Linear equations are represented as a matrix |
Element: |
The definite integral is applied to Engineering mathematics problems |
Performance Criteria: |
10.0 The area between two curves is calculated |
Element: |
The derivative of a function is used to calculate rates of change |
Performance Criteria: |
4.0 Units are substituted into functions to calculate the rate of change |
Element: |
The derivatives of the six trigonometric functions are examined |
Performance Criteria: |
5.0 Sinusoidal functions are graphed and interpreted. |
Element: |
The maximum or minimum of functions in engineering situations is determined. |
Performance Criteria: |
7.0 Relationships between functions are examined through related rates of change. |
Learning Outcomes
. Refer to elements
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 (MATLAB, depending on availability of computer lab), tests and examination.
Teaching Schedule
See Online Learning Hub for details.
Learning Resources
Prescribed Texts
References
Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, fourth edition, 2005, Pearson Education Australia |
Other Resources
1. Hibbeler R. C., Engineering Mechanics: Statics, 11th Ed., 2007.
2. Fitzgerald G. F, Tables, RMIT Notes in Mathematics, 1995.
3. Thomas, G, & Finney, R Calculus and Analytical Geometry, 7th Ed., Addison – Wesley.
4. An Introduction to Applied Numerical Analysis, PSW – Kent, 1992.
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 approximately 45% of the final overall assessment mark.
Assessment 2 – This is a practical test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical MATLAB exercises. This test will have a weighting of approximately 10% of the final overall assessment mark.
Assessment 3 – This is a collection of quizzes (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 approximately 45% (altogether) 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