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)

annabelle.lopez@rmit.edu.au

 

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
Element:	1. Determine scope of calculus techniques required for an engineering application
Performance Criteria:	Analyse an engineering application for required calculus tasks   Develop systematic methods for layout and solution validation, including any required external sign-off of solution   Identify calculus technique and any software required for analysis and resolution of identified engineering application tasks                         4.  Identify sources                         for professional                             and technical                                 assistance, if                                 required
Element:	2. Apply differential techniques to engineering applications
Performance Criteria:	Apply standard differentiation rules to solve engineering problems   Check solution is laid out correctly and is error free   Review solution to ensure it provides information relevant to resolution of engineering application task   4. Report results and document calculations, graphs and analysis
Element:	3. Apply integration techniques to engineering applications
Performance Criteria:	Apply standard integration rules to solve engineering problems   Check solution is laid out correctly and is error free   Review solution to ensure it provides information relevant to resolution of engineering application task   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 Rule Assignment is issued Observation Day - Question 1	2.1 - 2.4
3	Differentiation of Other Forms (more advanced problems), Chain/Product/Quotient Rules continued Chain 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 Integration of rectilinear motion and engineering applications, rates of change	3.1 - 3.4
11	Integration of rectilinear motion and engineering applications Differential Calculus-Stationary points, maximum and minimum applications, rates of change 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 Differential Calculus-Stationary points, maximum and minimum applications 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 Second order differential equations Assessment – Assignment due (online submission - through CANVAS) 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 differential equations - Homogeneous and Non homogeneous Rate of change, Differential calculus of rectilinear motion and engineering application Assessment – Project [Projectile] due (online submission - through CANVAS) 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