Course Title: Use mathematics for higher level engineering
Part B: Course Detail
Teaching Period: Term2 2013
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
Dr Elmas Aliu
elmas.aliu@rmit.edu.au
9925 4360
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: |
01. Graph simple functions |
Performance Criteria: |
1.1 Numbers are identified as ∈R |
Element: |
02. Use systems of linear equations to solve Engineering mathematics problems. |
Performance Criteria: |
2.1 Linear equations are represented as a matrix. |
Element: |
03. Define and evaluate rate of change. |
Performance Criteria: |
3.1 Functions are examined for various limits. |
Element: |
04. Use the derivative of a function to calculate rates of change. |
Performance Criteria: |
4.1 Units are substituted into functions to calculate the rate of |
Element: |
05. Examine the derivatives of the six trigonometric functions. |
Performance Criteria: |
5.1 Sinusoidal functions are graphed and interpreted. |
Element: |
06. Graph functions using the first and second derivative. |
Performance Criteria: |
6.1 Critical values are used to define stationary and inflection points. |
Element: |
07. Determine the maximum or minimum of functions in engineering situations. |
Performance Criteria: |
7.1 Relationships between functions are examined through related |
Element: |
08. Relate density, mass and moment using antiderivatives or indefinite integrals. |
Performance Criteria: |
8.1 The mass of a beam is determined using integration |
Element: |
09. Integrate functions using the properties of The Fundamental Theorem of Calculus. |
Performance Criteria: |
9.1 Definite integrals are derived and calculated. |
Element: |
10. Apply the definite integral to engineering calculations. |
Performance Criteria: |
10.1 The area between two curves is calculated. |
Element: |
11. Integrate exponential and Logarithmic functions. |
Performance Criteria: |
11.1 An inverse function is defined. |
Element: |
12. Integrate inverse Trigonometric Functions. |
Performance Criteria: |
12.1 Inverse trigonometric functions are defined. |
Element: |
13. Differentiate and integrate Hyperbolic and Inverse Hyperbolic Functions. |
Performance Criteria: |
13.1 Coshx, sinhx, tanhx are defined. |
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
Week Number | Topic Delivered | Assessment Task |
1 | Download/Explain course including assessments and policies/Revision of Pre Requisite course • Real Numbers are defined and identified Basic concepts • The Absolute value | elements:1 |
2 | • Domain and range of functions are determined. • Graphs of absolute value, quadratic and composite functions are drawn | elements:1,2 |
3 | • Linear Algebra: • Linear equations are represented as a matrix. • Matrix Algebra • Definition and Matrix Algebra • Elementary row operations | elements:2,3 |
4 | • Matrix Algebra • The Transpose, the Inverse of a matrix | elements:3,4 |
5 | Test 1 | |
6 | Determinants of a matrix Application of matrix algebra to solving linear systems. | elements:1,2,3 |
7 | Solutions of linear equations • Application of matrix algebra to real life problems. Engineering Applications | elements:2,3,4,5 |
8 | • Functions of multiple Variables • Graphs, level curves and surfaces | elements:3,4,5 |
9 | • Test 2 | |
10 | • Partial derivatives, chain rule; • directional derivative • Maxima and minima | elements 6,7,8 |
11 | • Application of partial derivatives • Define and evaluate rate of change Integral calculus | elements:6,7,8 |
12 | • The Exponential and Logarithmic functions • Differentiation and integration of Exponential and Logarithmic functions • Hyperbolic Functions | elements:8,9,10 |
13 | • Test 3 | |
14 | • The Exponential and Logarithmic functions • Differentiation and integration of Exponential and Logarithmic functions • Hyperbolic Functions | elements 8,9,10 |
15 | • Differentiation and integration of Inverse Hyperbolic Functions | elements 11,12,13 |
16 | • Applications of Exponential, Logarithmic, Hyperbolic and Invers Hyperbolic functions into engineering problems • Revision | elements:11,12,13 |
17 | • Test 4 | |
18 | • Finalising Results |
Learning Resources
Prescribed Texts
Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, forth edition, Pearson Education Australia |
1-74009-733-5 |
References
Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia |
9780132391443 |
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 Matrix
Element Covered | Assessment Task | Submission Time |
1,2, | Test 1 (25%) | week 5 |
3,4 | Test 2 (25%) | week 9 |
5,6,7,8 | Test 3 (25%) | week 13 |
9,10,11,12,13 | Test 4(25%) | week 17 or 18 |
Other Information
Minimum student directed hours are 12 in addition to 48 scheduled teaching hours.
- Student directed hours involve completing activities such as reading online resourses, assignements, notes and other learning material, preparation for test and exam and individual student - teacher course related consultation.
Study and learning Support:
Study and Learning Centre (SLC) provides free learning and academic development advice to all RMIT students.
Services offered by SLC to support numeracy and literacy skills of the students are:
assignment writing, thesis writing and study skills advice
maths and science developmental support and advice
English language development
Please Refer http://www.rmit.edu.au/studyandlearningcentre to find more information about Study and learning Support
Disability Liaison Unit:
Students with disability or long-term medical condition should contact Disability Liaison Unit to seek advice and support to
complete their studies.
Please Refer http://www.rmit.edu.au/disability to find more information about services offered by Disability Liaison Unit
Late submission:
Students requiring extensions for 7 calendar days or less (from the original due date) 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. The student will be notified within
no more than 2 working days of the date of lodgment as to whether the extension has been granted.
Students seeking an extension of more than 7 calendar days (from the original due date) 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.
Assignments submitted late without approval of an extension will not be accepted or marked.
Special consideration:
Please Refer http://www.rmit.edu.au/browse;ID=riderwtscifm 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: www.rmit.edu.au/academicintegrity to find more information about plagiarism.
Other Information:
All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails.
Course Overview: Access Course Overview