Course Title: Apply calculus to engineering tasks
Part B: Course Detail
Teaching Period: Term1 2023
Course Code: MATH7063C
Course Title: Apply calculus to engineering tasks
Important Information:
Please note that this course may have compulsory in-person attendance requirements for some teaching activities.
To participate in any RMIT course in-person activities or assessment, you will need to comply with RMIT vaccination requirements which are applicable during the duration of the course. This RMIT requirement includes being vaccinated against COVID-19 or holding a valid medical exemption.
Please read this RMIT Enrolment Procedure as it has important information regarding COVID vaccination and your study at RMIT: https://policies.rmit.edu.au/document/view.php?id=209.
Please read the Student website for additional requirements of in-person attendance: https://www.rmit.edu.au/covid/coming-to-campus
Please check your Canvas course shell closer to when the course starts to see if this course requires mandatory in-person attendance. The delivery method of the course might have to change quickly in response to changes in the local state/national directive regarding in-person course attendance.
School: 520T Future Technologies
Campus: City Campus
Program: C6162 - Advanced Diploma of Engineering Technology (Civil Engineering Design)
Course Contact: Program Manager
Course Contact Phone: +61 3 9925 8311
Course Contact Email: amita.iyer@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Annabelle Lopez (Teacher)
Nominal Hours: 80
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
Pre-requisite – MEM23004A
Course Description
This unit of competency covers the application of calculus, including differentiation and integration techniques to engineering applications. It includes the use and application of standard differentiation and integration rules, finding maximum and minimum values of curves, application to rates of change and slope, finding definite integrals, using method of substitution, using trigonometric identities and finding areas under curves.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
MEM23007A Apply calculus to engineering tasks |
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Element: |
1. Determine scope of calculus techniques required for an engineering application |
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Performance Criteria: |
4. Identify sources for professional and technical assistance, if required |
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Element: |
2. Apply differential techniques to engineering applications |
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Performance Criteria: |
4. Report results and document calculations, graphs and analysis |
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Element: |
3. Apply integration techniques to engineering applications |
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Performance Criteria: |
4. Report results and document calculations, graphs and analysis |
Learning Outcomes
Refer to Elements
Details of Learning Activities
Learning Activities
You will be involved in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.
Lectures, Tutorials
Teaching Schedule
Weekly Schedule
The proposed teaching schedule for this competency is detailed below:
Week |
Topics Delivered |
Elements/Performance Criteria |
1 |
Introduction to the course, OH&S Brief Basic Concepts, Limits |
1.1 - 1.4, 2.1 - 2.4 |
2 |
Differentiation of Various Forms, Differentiation using Chain Rule, Product Rule and Quotient RuleAssignment is issued Observation Day - Question 1 |
2.1 - 2.4 |
3 |
Differentiation of Other Forms (more advanced problems), Chain/Product/Quotient Rules continuedChain Rule, Product Rule and Quotient Rule Projectile Assignment is issued Observation Day- Question 2 |
2.1 - 2.4 |
4 |
Chain Rule, Product Rule and Quotient Rule, Introduction to Implicit Differentiation, Logarithmic Differentiation and Higher Derivatives Revision (Week 1 to 4) Observation Day- questions 1/2 |
2.1 - 2.4 |
5 |
Assessment – Test |
1.1 - 1.4, 2.1 - 2.4 |
6 |
Implicit Differentiation, Logarithmic Differentiation, Higher Derivatives |
2.1 - 2.4 |
7 |
Introduction to Anti-Differentiation/Integration Indefinite integral of Polynomials, Trigonometric and Exponential Functions MATLAB practice Observation Day-Question 3 Observation Catch up- Questions 1-3 |
3.1 - 3.4 |
8 |
Definite integral of Polynomials, Trigonometric and Exponential Functions and hence finding the area of the given functions Observation Day-Question 5a |
3.1 - 3.4 |
9 |
Definite integral of Polynomials, Trigonometric and Exponential Functions and hence finding the area of the given functions Area between the curves Observation Day-Question 6 Observation Catch up- Questions 5a & 6 Submission - Questions 1-3 Submission - Questions 9-11 (Research questions) |
3.1 - 3.4 |
10 |
Area between Curves |
3.1 - 3.4 |
11 |
Integration of rectilinear motion and engineering Observation Day-Question 4 Submission - Questions 4 & 5b AND 5a & 6 (Questions 4-6) |
1.1 - 1.4, 3.1 - 3.4 |
12 |
Basic first order differential equations Observation Day - Catch up Questions 4 & 5b |
1.1 - 1.4, 3.1 - 3.4 |
13 |
Differential equations, basic first order differential equations - Separable AND Linear forms, basic Observation Day/Catch up - Questions 7 & 8 Submission - Questions 7 & 8 |
2.1 - 2.4, 3.1 - 3.4 |
14 |
Basic first order differential equations, Second order
Assessment – Project [Projectile] due (online submission - Observation Day |
1.1 - 1.4, 2.1 - 2.4 |
15 |
Second Order Differential Equations Start Revision Observation Day |
1.1 - 1.4, 2.1 - 2.4 |
16 |
Revision Observation Day |
1.1 - 1.4, 3.1 - 3.4 |
17 |
Assessment - Final Test due |
1.1 - 1.4, 2.1 - 2.4, 3.1 - 3.4 |
18 |
Student feedback |
1.1 - 1.4, 2.1 - 2.4, 3.1 - 3.4 |
COURSE GUIDE: http://www1.rmit.edu.au/courses/C6162049661
Learning Resources
Prescribed Texts
References
Other Resources
Overview of Assessment
The assessment is conducted in both theoretical and practical aspects of the course according to the performance criteria set in the National Training Package. Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards. Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor. Feedback will be provided throughout the course. To successfully complete this course, you will be required to demonstrate competency in each assessment task detailed under Assessment Tasks:
Assessment 1: Test 1
Assessment 2: Assignment
Assessment 3: Final Test
Assessment 4: Assignment -Project Project
These tasks assess the following Course Learning Outcomes (CLOs):
Assessment Mapping Matrix
Element/Performance Criteria Covered |
Test 1 |
Assignment |
Final Test |
Project Project |
1.1 |
X |
X |
X |
X |
1.2 |
X |
X |
X |
X |
1.3 |
X |
X |
X |
X |
1.4 |
X |
X | ||
2.1 |
X |
X |
X | |
2.2 |
X |
X |
X | |
2.3 |
X |
X |
X | |
2.4 |
X |
X |
X | |
3.1 |
X |
X |
X | |
3.2 |
X |
X |
X | |
3.3 |
X |
X |
X |
X |
3.4 |
X |
X |
X |
X |
Assessment Tasks
Assessment 1: Test 1, Week 5
Assessment 2: Assignment, Week 13
Assessment 3: Final Test, Week 17
Assessment 4: Assignment - Projectile Project, Week 14
Assessment Matrix
Course Overview: Access Course Overview