Course Title: Use calculus
Part B: Course Detail
Teaching Period: Term2 2010
Course Code: MATH5318
Course Title: Use calculus
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)
Course Description
This unit covers the competency to differentiate and integrate functions related to practical problems common to the Civil and Mechanical engineering disciplines.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
EAX110B Use calculus |
Element: |
1. Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems |
Performance Criteria: |
1.1 Define the derivative of a function f as the slope of the limiting positive of a secant to a curve using. |
Element: |
2. Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems |
Performance Criteria: |
2.1 Applied problems involving algebraic, logarithmic and exponential functions are solved by interpreting the derivative as an instantaneous rate of change of a quantity at a time t. |
Element: |
3. Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions |
Performance Criteria: |
3.1 The antiderivatives of elementary functions are determined using basic formulae |
Element: |
4. Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning |
Performance Criteria: |
4.1 Definite integrals are evaluated using the Fundamental Theorem of Calculus where |
Element: |
5. Applied problems are solved using derivatives and anti-derivatives of trigonometric functions |
Performance Criteria: |
5.1 Trigonometric functions in combination and composition with algebraic, exponential and logarithmic functions are differentiated using one or more of the sum, product, quotient and chain rules. |
Learning Outcomes
• Develop analytical and logical thinking skills
• Apply mathematical principles and skills in relation to:
- derivatives and anti-derivatives,
- solution of differential equations
- rate of change,
- definite integrals
• Perform calculations to industry standard
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
This is an indicative teaching schedule. Refer to Online Blackboard announcements for changes.
Week 1 - Define derivatives, elementary algebraic function
Week 2 - Differentiation – Product /quotient rule
Week 3 - Differentiation - Chain Rule
Week 4 - Differentiation – Ln and e functions
Week 5 - Differentiation – Trigonometric functions
Week 6 - Differentiation - Combinations
Week 7 - Differentiation Applications 1
Week 8 - Differentiation Applications 2
Week 9 - Test 1 (Assessment 1)
Week 10 - Antiderivatives general
Week 11 - Antiderivatives various forms
Week 12 - Fundamental Theorem of Calculus
Week 13 - Integrals general
Week 14 - Integrals algebraic form
Week 15 - Integrals Exp and Ln forms
Week 16 - Integrals Trig forms
Week 17 - Integrals application – areas
Week 18 - Test 2 (Assessment 2)
This is an indicative teaching schedule. Refer to Online Blackboard announcements for changes.
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
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 50% 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 50% of the final overall assessment mark.
Note regarding Assessments: Option to assess via topic quizzes covering the same elements of competency is available.
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