# Course Title: Apply calculus to engineering tasks

## Part B: Course Detail

Teaching Period: Term2 2020

Course Code: MATH7063C

Course Title: Apply calculus to engineering tasks

School: 174T School of VE Engineering, Health & Science

Campus: City Campus

Program: C6130 - Advanced Diploma of Engineering (Mechanical)

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email: vehs@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Teacher

Andrew Kim
Ph: +61 3 9925 4295
Email: andrew.kim@rmit.edu.au

Appointment by email

Teacher

Annabelle Lopez
Phone: +613 9925 4823
Email: annabelle.lopez@rmit.edu.au

Appointments by email

George Zouev
Program Manager
Ph: +61 3 9925 4935
E: george.zouev@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

MEM23004A Apply technical mathematics

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: 1.1  Analyse an engineering application for required calculus tasks 1.2  Develop systematic methods for layout and solution validation, including any required external sign-off of solution  1.3  Identify calculus technique and any software required for analysis and resolution of identified engineering application tasks  1.4  Identify sources for professional and technical assistance, if required Element: 2. Apply differential techniques to engineering applications Performance Criteria: 2.1  Apply standard differentiation rules to solve engineering problems  2.2  Check solution is laid out correctly and is error free  2.3  Review solution to ensure it provides information relevant to resolution of engineering application task   2.4  Report results and document calculations, graphs and analysis Element: 3. Apply integration techniques to engineering applications Performance Criteria: 3.1  Apply standard integration rules to solve engineering problems 3.2  Check solution is laid out correctly and is error free   3.3  Review solution to ensure it provides information relevant to resolution of engineering application task  3.4  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

Engineers Australia Mapping Information:
This course is mapped against stage 1 competencies for Engineering Associates developed by Engineers Australia as detailed below:

EA 1. Knowledge and Skill Base

EA1.1. Descriptive, formula-based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the practice area.
EA 1.2. Procedural-level understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the practice area.
EA 1.3. In depth practical knowledge and skills within specialist sub-disciplines of the practice area.
EA 1.4. Discernment of engineering developments within the practice area.
EA 1.5. Knowledge of contextual factors impacting the practice area.
EA 1.6. Understanding of the scope, principles, norms, accountabilities and bounds of contemporary engineering practice in the area of practice.

EA 2. Engineering Application Ability

EA 2.1. Application of established technical and practical methods to the solution of well-defined engineering problems.
EA 2.2. Application of technical and practical techniques, tools and resources to well defined engineering problems.
EA 2.3. Application of systematic synthesis and design processes to well defined engineering problems.
EA 2.4. Application of systematic project management processes.

EA 3. Professional and Personal Attributes

EA 3.1. Ethical conduct and professional accountability.
EA 3.2. Effective oral and written communication in professional and lay domains.
EA 3.3. Creative, innovative and pro-active demeanour.
EA 3.4. Professional use and management of information.
EA 3.5. Orderly management of self, and professional conduct.
EA 3.6. Effective team membership and team leadership.

Engineers Australia Stage 1 Competencies are mapped with competency MEM23007A in the Assessment Matrix.

Teaching 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, First Principles/Power Rule 1.1 - 1.4, 2.1 - 2.4 2 First Principles/Power Rule, Differentiation by rule - Polynomials, Trigonometric, Exponential and Logarithmic 2.1 - 2.4 3 Differentiation of functions by rule-Polynominals, Trigonometric, Expontential and Logarithmic functions Chain Rule, Product Rule and Quotient Rule Assignments issued Observation Day 2.1 - 2.4 4 Chain Rule, Product Rule and Quotient Rule Parametric Differentiation, the concepts of implicit and explicit functions Observation Day 2.1 - 2.4 5 Implicit Differentiation, Logarithmic Differentiation Assessment 1 – Test (Differentiation only) 1.1 - 1.4, 2.1 - 2.4 6 Introduction to Anti-Differentiation/Integration Indefinite integral of Polynomials, Trigonometric and Exponential Functions 2.1 - 2.4 7 Indefinite integral of Polynomials, Trigonometric and Exponential Functions Observation Day 3.1 - 3.4 8 Indefinite integral of Polynomials, Trigonometric and Exponential Functions 3.1 - 3.4 9 Definite integral of Polynomials, Trigonometric and Exponential Functions and hence finding the area of the given functions Observation Day 3.1 - 3.4 10 Definite integral of Polynomials, Trigonometric and Exponential Functions and hence finding areas of curves under given functions Area between curves 3.1 - 3.4 11 Area between Curves Integration of rectilinear motion and engineering applications, rates of change Observation Day 1.1 - 1.4, 3.1 - 3.4 12 Integration of rectilinear motion and engineering applications Differential Calculus-Stationary points, maximum and minimum applications, rates of change Observation Day 1.1 - 1.4, 3.1 - 3.4 13 Basic first order differential equations Differential Calculus-Stationary points, maximum and minimum applications Assessment 2 – Assignment due (online submission - through CANVAS) Observation Day 2.1 - 2.4, 3.1 - 3.4 14 Differential equations, basic first order differential equations, basic second order differential equations Rate of change, Differential calculus of rectilinear motion and engineering application Assessment 4 – Assignment Projectile Project due (online submission - through CANVAS) Observation Day 1.1 - 1.4, 2.1 - 2.4 15 Basic first order differential equations, Second order differential equations  Observation Day 1.1 - 1.4, 2.1 - 2.4 16 Revision Observation Day 1.1 - 1.4, 3.1 - 3.4 17 Assessment 3 - Final Test 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

Student directed hours involve completing activities such as reading online resources, assignments, individual student-teacher course-related consultation. Students are required to self-study the learning materials and complete the assigned out of class activities for the scheduled non-teaching hours. The estimated time is 25 hours outside the class time.

Learning Resources

Prescribed Texts

References

Other Resources

Students will be able to access information and learning materials through myRMIT and may be provided with additional materials in class. List of relevant reference books, resources in the library and accessible Internet sites will be provided where possible. During the course, you will be directed to websites to enhance your knowledge and understanding of difficult concepts.

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

Assessment 2: Assignment

Assessment 3: Test

Assessment 4: Projectile Assignment

These tasks assess the following Course Learning Outcomes (CLOs):

Assessment Mapping Matrix

 Element/Performance Criteria Covered Test Assignment Test Projectile Assignment 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 1: Test 1, Week 5

Assessment 2: Assignment, Week 13

Assessment 3: Final Test, Week 17

Assessment 4: Assignment - Projectile Project, Week 14

This course is assessed as Competent or Not Yet Competent

Assessment Matrix

Assessment vs MEM23007A Elements & Performance Criteria

 MEM23007A Elements & Performance Criteria Assessments 1.1 1.2 1.3 1.4 2.1 2.2 2.3 2.4 3.1 3.2 3.3 3.4 Test 1 x x x X X X X X X Assignment X X X X X X X X X X X X Final test X X X X X X X Assignment - Projectile Project X X X X X X X X X X X X

Assessment vs Engineers Australia Stage 1 Competencies

 Engineers Australia Stage 1 Competencies Assessments EA1.1 EA1.2 EA1.3 EA1.4 EA1.5 EA1.6 EA2.1 EA2.2 EA2.3 EA2.4 EA3.1 EA3.2 EA3.3 EA3.4 EA3.5 EA3.6 Test 1 X X X X Assignment X X X X X Final Test X X X X X Assignment - Projectile Project X X X X X All assessmentsMEM23007A 3 3 3 0 0 0 3 0 0 0 0 2 0 0 0 0 0 (Blank) Graduate attribute is not assessed. 1 Graduate attribute is assessed in at least one but less than one-third of the Element 2 Graduate attribute is assessed in at least one third but less than two-thirds of the Element 3 Graduate attribute is assessed in more than two-thirds of the Element

Other Information

Private study hours are approximately 25  hours for this course.

Credit Transfer and/or Recognition of Prior Learning (RPL):
You may be eligible for credit towards courses in your program if you have already met the learning/competency outcomes through previous learning and/or industry experience. To be eligible for credit towards a course, you must demonstrate that you have already completed learning and/or gained industry experience that is:

• Relevant
• Current
• Satisfies the learning/competency outcomes of the course

Study and learning Support:

Study and Learning Centre (SLC) provides free learning and academic development advice to you.
Services offered by SLC to support your numeracy and literacy skills are:

assignment writing, thesis writing and study skills advice
maths and science developmental support and advice
English language development

Equitable Learning Services (ELS):

If you are suffering from long-term medical condition or disability, you should contact Equitable Learning Services (ELS) to seek advice and support to complete your studies.

Late submission:

If you require an Extension of Submittable Work (assignments, reports or project work etc.) for 7 calendar days or less (from the original due date) and have valid reasons, you 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. You will be notified within no more than 2 working days of the date of lodgment as to whether the extension has been granted.
If you seek an Extension of Submittable Work for 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.

Submittable Work (assignments, reports or project work etc.) submitted late without approval of an extension will not be accepted or marked.

Special consideration:

Plagiarism:

Plagiarism is a form of cheating and it is very serious academic offence that may lead to expulsion from the University.