Course Title: Apply calculus to engineering tasks

Part B: Course Detail

Teaching Period: Term1 2015

Course Code: MATH7063C

Course Title: Apply calculus to engineering tasks

School: 130T Vocational Engineering

Campus: City Campus

Program: C6132 - Advanced Diploma of Engineering Technology

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email:

Name and Contact Details of All Other Relevant Staff

Mr. Ahmet Ertuncay
Program Manager
Phone: +61 3 9925 8375


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


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


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


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
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
  • Mathematical software simulations

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

EA1.1. Comprehensive, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering
EA1.2. Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline.
EA1.3. In-depth understanding of specialist bodies of knowledge within the engineering discipline.
EA1.4. Discernment of knowledge development and research directions within the engineering discipline.
EA1.5. Knowledge of contextual factors impacting the engineering discipline.
EA1.6. Understanding of the scope, principles, norms, accountabilities and bounds of contemporary engineering practice in the specific discipline.
EA2.1. Application of established engineering methods to complex engineering problem solving.
EA2.2. Fluent application of engineering techniques, tools and resources.
EA2.3. Application of systematic engineering synthesis and design processes.
EA2.4. Application of systematic approaches to the conduct and management of engineering projects.
EA3.1. Ethical conduct and professional accountability.
EA3.2. Effective oral and written communication in professional and lay domains.
EA3.3. Creative, innovative and pro-active demeanour.
EA3.4. Professional use and management of information.
EA3.5. Orderly management of self and professional conduct.
EA3.6. Effective team membership and team leadership
Engineers Australia Stage 1 Competencies are mapped with competency MEM23004A in the Assessment Matrix.

Teaching Schedule

The proposed teaching schedule for this competency is detailed below:

WeekTopics DelieveredElements/Performance Criteria
1Introduction to the course, OH&S Brief
Basic Concepts, Limits
1.1 - 1.4, 2.1 - 2.4
2Limits, First Principles/Power Rule2.1 - 2.4
3Differentiation of functions by rule-Polynominals, Trigonometric, Expontential and Logarithmic functions2.1 - 2.4
4Chain Rule, Product Rule and Quotient Rule. Assignment issued (due week 15)2.1 - 2.4
5Revision. Test 11.1 - 1.4, 2.1 - 2.4
6Parametric Differentiation, the concepts of implicit and explicit functions2.1 - 2.4
7Differential Calculus-Stationary points, maximum and minimum applications2.1 - 2.4
8Newton’s method for solving applications
Rate of change, Differential calculus of rectilinear motion and engineering application
1.1 - 1.4, 2.1 - 2.4
9Introduction to Anti-Differentiation/Integration
Indefinite integral of Polynomials, Trigonometric and Exponential Functions
3.1 - 3.4
10Indefinite integral of Polynomials, Trigonometric and Exponential Functions3.1 - 3.4
11Definite integral of Polynomials, Trigonometric and Exponential Functions and hence finding the area of the given functions3.1 - 3.4
12Simpson’s Rule. Area between the curves.3.1 - 3.4
13 - 14Integration of rectilinear motion and engineering applications1.1 - 1.4, 3.1 - 3.4
14 - 15Basic first order differential equations3.1 - 3.4
16Revision. Assignment due1.1 - 1.4, 3.1 - 3.4
17 - 18Final Test1.1 - 1.4, 2.1 - 2.4, 3.1 - 3.4

Learning Resources

Prescribed Texts

Class notes and tutorials


Other Resources

Course notes and relevant online 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

Weighting towards final grade (%): 20

Assessment 2: Assignment
Weighting towards final grade (%): 30

Assessment 3: Final Test
Weighting towards final grade (%): 50

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

Assessment Mapping Matrix 

Elements/Performance CriteriaTest 1AssignmentFinal Test
1.4 X 
3.1 XX
3.2 XX
3.4  XXX



Assessment Tasks

• Test 1, 20%
• Assignment, 30%
• Final Test, 50%

This course is graded as Competent or Not Yet Competent and subsequently the following course grades are allocated:

80 - 100: CHD - Competent with High Distinction
70 - 79: CDI - Competent with Distinction
60 - 69: CC - Competent with Credit
50 - 59: CAG - Competency Achieved - Graded
0 - 49: NYC - Not Yet Competent
DNS - Did Not Submit for Assessment.

Assessment Matrix

Assessment vs MEM23007A Elements & Performance Criteria

 MEM23007A Elements & Performance Criteria
Test 1    XXXX    
AssignmentXXXXXXXXXX X    X
Final TestX X X X XXX X X

 Assessment vs Engineers Australia Stage 1 Competencies

Engineers Australia Stage 1 Competencies         
Test 1
XX X   X         
AssignmentX X           
Final testX X            
All assessments
33 300 03100 0
0 (Blank)Graduate attribute is not assessed.
1Graduate attribute is assessed in at least one, but less than one-third of the Element
2Graduate attribute is assessed in at least one third, but less than two-thirds of the Element
3Graduate attribute is assessed in more than two-thirds of the Element

Other Information

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 30 hours outside the class time.

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

Please refer to to find more information about credit transfer and RPL.


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

Please refer  to find more information about Study and learning Support.

Disability Liaison Unit:

If you are suffering from long-term medical condition or disability, you should contact Disability Liaison Unit to seek advice and support to complete your studies.

Please refer  to find more information about services offered by Disability Liaison Unit.

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 lodgement 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) you 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:

Please refer to find more information about special consideration.


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

Please refer to find more information about plagiarism.

Email Communication:

All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails.


Course Overview: Access Course Overview