# Course Title: Apply calculus to engineering tasks

## Part B: Course Detail

Teaching Period: Term2 2014

Course Code: MATH7063C

Course Title: Apply calculus to engineering tasks

School: 130T Vocational Engineering

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: Sergei Eljaste
Phone: +61 3 9925 4661
Email: sergei.eljaste@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

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:

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

Learning Resources

Prescribed Texts

 Class notes and tutorials

References

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 Criteria Test 1 Assignment Final Test 1.1 X X X 1.2 X X X 1.3 X X X 1.4 X 2.1 X X 2.2 X X 2.3 X X 2.4 X X 3.1 X X 3.2 X X 3.3 X X X 3.4 X X X

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 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 Assignment X X X X X X X X X X X X Final Test 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 All assessments MEM23007A 3 3 3 0 0 0 3 0 0 0 0 1 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

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.

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 http://www.rmit.edu.au/studyandlearningcentre 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 http://www.rmit.edu.au/disability 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 http://www.rmit.edu.au/students/specialconsideration to find more information about special consideration.

Plagiarism:

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

Please refer http://www.rmit.edu.au/academicintegrity 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