Course Title: Use calculus
Part B: Course Detail
Teaching Period: Term2 2013
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
Dr Elmas Aliu
+61 3 9925 4360
elmas.aliu@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)
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. Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems |
Element: |
2. Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems |
Performance Criteria: |
2. Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems |
Element: |
3. Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions |
Performance Criteria: |
3. Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions |
Element: |
4. Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning |
Performance Criteria: |
4. Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning |
Element: |
5. Applied problems are solved using derivatives and anti-derivatives of trigonometric functions |
Performance Criteria: |
5. Applied problems are solved using derivatives and anti-derivatives of trigonometric functions |
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
Week Number | Topic Delivered | Assessment Task |
1 | Download/Explain course including assessments, policies/Revision of Pre Requisite course and Introduction to the competency | |
2 | Define derivatives, elementary algebraic function Differentiation – Product rule | Element 1 |
3 | Differentiation – quotient rule | Elements 1&2 |
4 | Differentiation – Ln and e functions / Differentiation – combinations | Elements 1&2 |
5 |
Test 1 | 25% of total assesment |
6 | Differentiation – Chain Rule, Differentiation – Trigonometric Functions | Elements 1&2 |
7 | Differentiation Applications to engineering problems | Elements 1&2 |
8 | Further application to Differentiation | 25% of total assesment |
9 |
Test 2 |
25% of total assesment |
10 |
Antiderivatives general/Antiderivatives various forms/Fundamental Theorem of Calculus Fundamental Theorem of Calculus / Integrals General / Integrals Algebraic form/ Integrals other Forms Integrals Exp and LN forms / Integrals Trig forms | Elements 3&4 |
11 |
Integrals Exp and LN forms / Integrals Trig forms | Elements 3&4 |
12 |
methods of integration - substitution and partial integration methods of integration - rational integration | Elements 3&4 |
13 | Test 3 | 25% of total assesment |
14 | methods of integration - rational integration and other trigonometric integrations | Elements 4&5 |
15 | Integrals application - areas and volumes | Elements 4&5 |
16 | Integrals application - practical engineering problems | Elements 4&5 |
17 | Test 3 | 25% of total assesment |
18 | Final results | Elements 1,2,3,4&5 |
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
Assessment Tasks
Assessment task 1 (test 1): 25%
This assessment demonstrates an understanding with applications of mathematics involving engineering problems which are covered from week 1 to week 4. The time allowed for this test is no more that 1 hour and 15 minutes reading time.
Assessment task 2 (test 2): 25%
This assessment demonstrates an understanding with applications of mathematics involving engineering problems which are covered from week 5 to week 8. The time allowed for this test is no more that 1 hours and 15 minutes reading time.
Assessment task 3 (test 3 ): 25%
This assessment demonstrates an understanding with applications of mathematics involving engineering problems which are covered from week 9 to week 12. The time allowed for this test is no more that 1 hour and 15 minutes reading time
Assessment task 4 (Final Exam): 25%
This assessment demonstrates an understanding with applications of differential calculus,, integral calculus and problems with engineering applications, which is covered from week 13 to week 16. The time allowed for this test is no more that 1 hour and 15 minutes reading time.
This course is graded using the following course grades-
CHD- Competent with High Distinction
CDI- Competent with Distinction
CC- Competent with Credit
CAG- Competency Achieved - Graded
NYC- Not Yet Competent
DNS- Did Not Submit for Assessment. (This grade is only to be used where the student’s attendance in the course has been ‘confirmed’ (but they have not participated in any form of assessment and did not withdraw by the census date).
Assessment Matrix
Element Covered | Assessment Task | Proportion of Final Assessment | Submission Time |
1&2 | test 1 | 25% | Week 5 |
1&2 | test 2 | 25% | Week 9 |
3,4&5 | test 3 | 25% | Week 13 |
3,4&5 | 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 .
Course Overview: Access Course Overview