Course Title: Apply advanced calculus to technology problems

Part B: Course Detail

Teaching Period: Term2 2025

Course Code: MATH5365C

Course Title: Apply advanced calculus to technology problems

Important Information:

Please note that this course may have compulsory in-person attendance requirements for some teaching activities.

School: 520T Future Technologies

Campus: City Campus

Program: C6187 - Advanced Diploma of Engineering (Aeronautical)

Course Contact: Amita Iyer

Course Contact Phone: +61 3 9925 8311

Course Contact Email: Amita.Iyer@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Nominal Hours: 40

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

Nil

Course Description

This unit of competency defines the skills and knowledge required to apply advanced calculus in an engineering or related application and includes differential and integral calculus. It includes both the application of theory in simple calculations either manually or through the use of relevant software packages for more complex situations.

It is suitable for paraprofessionals and technologists required to solve advanced mathematical problems in an engineering or related field, or for those pursuing technologist careers and qualifications.

Individuals completing this work either already have or are developing skills and experience in mathematics covering calculus and differentials.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:	MEM234022 Apply advanced calculus to technology problems
Element:	1. Identify a need for the application of calculus
Performance Criteria:	1.1 Identify and define a problem requiring application of calculus 1.2 Determine data currently available for analysis 1.3 Identify ways of obtaining other required data 1.4 Determine information required from outcome
Element:	2. Prepare to solve problem by calculus
Performance Criteria:	2.1 Determine appropriate calculus to be applied 2.2 Identify and gain access to appropriate computational devices 2.3 Collect required input data 2.4 Analyse collected data for suitability and completeness 2.5 Take appropriate action to address any deficiencies found
Element:	3. Solve problem using calculus
Performance Criteria:	3.1 Apply appropriate technique to collected data 3.2 Check answer to ensure it is within the expected rational results 3.3 Interpret answer to determine information required by problem definition and translate the result of the statistical analysis into a form which is useable by relevant stakeholders
Element:	4. Communicate outcomes
Performance Criteria:	4.1 Communicate outcome to relevant stakeholders by appropriate means 4.2 Explain outcome to stakeholders, as appropriate 4.3 Confirm that the result of the analysis assists in the resolution of the problem

Learning Outcomes

On successful completion of this course, you will have developed and applied the skills and knowledge required to demonstrate competency in the elements of this unit of competency.

Details of Learning Activities

You will involve in the following learning activities to meet requirements for this competency and stage 1 competencies for Engineering Associates.
• Lectures

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

EA 1.1. 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 MEM234022 in the Assessment Matrix.

Teaching Schedule

Week	Topic	Assessment / Learning activities
Week 1	Introduction & Review (Functions, domain/range, limits, continuity)
Week 2	Derivative Rules I (Power, product, quotient, chain rules)
Week 3	Derivative Rules II (Implicit and logarithmic differentiation, higher-order derivatives)
Week 4	Graphing with Derivatives (Sketching curves, concavity, inflection points)
Week 5	Optimisation (Maxima, minima, rates of change)
Week 6	Related Rates & Error Approximation
Week 7	Partial Differentiation (Multivariable functions, first and second partial derivatives)
Week 8	Directional Derivatives & Gradient Vectors	Assessment Task 1 – Differential Calculus
Week 9	Intro to Integration (Antiderivatives, substitution, area under curves)
Week 10	Integration Techniques I (Partial fractions, by parts, trig/hyperbolic substitutions)
Week 11	Integration Techniques II (Improper integrals, arc length, surface area)
Week 12	Engineering Applications -1 (Centroid, Centre of Mass, RMS, Work, Pressure, Arc Length, Surface Area)	Assessment Task 2 – Integral Calculus
Week 13	Engineering Applications - 2 (Moments of Inertia, Mass of Non-uniform Materials, Fluid Flow and Volume Rate)
Week 14	Engineering Applications - 3 (Torque and Rotational Work, Heat Transfer)
Week 15	Optimisation of aircraft wing design - 1	Assessment Task 3 - Aircraft wing design
Week 16	Optimisation of aircraft wing design - 2
Week 17	Feedback and review
Week 18	Feedback and review

Learning Resources

Prescribed Texts

References

Other Resources

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

Overview of Assessment

Assessment for this course is ongoing throughout the semester. Your knowledge and understanding of course content are assessed through participation in class exercises, oral/written presentations and through the application of learned skills and insights. Full assessment briefs will be provided and can be found on CANVAS.

Assessment Tasks

You are required to complete the following assessment tasks:

Assessment 1- Differential Calculus - Week 8

Assessment 2 - Integral Calculus - Week 12

Assessment 3 - Aircraft wing design - Week 15

Assessment Matrix

Assessment vs MEM234022 Elements & Performance Criteria

Element	Performance criteria
		Assessment Task 1: Differential calculus	Assessment Task 2: Integral calculus	Assessment Task 3: Aircraft wing design
1. Identify a need for the application of calculus	1.1 Identify and define a problem requiring application of calculus	Q3, Q6, Q7, Q8, Q9	Q22, Q23, Q24, Q25, Q26	Part 1
1.2 Determine data currently available for analysis			Part 1
1.3 Identify ways of obtaining other required data			Part 1
1.4 Determine information required from outcome			Part 1
2. Prepare to solve problem by calculus	2.1 Determine appropriate calculus to be applied	Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9, Q10, Q11, Q12, Q13, Q14, Q15, Q16, Q17, Q18	Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9, Q10, Q11, Q12, Q13, Q14, Q15, Q16, Q17, Q18, Q19, Q20, Q21, Q22, Q23, Q24, Q25, Q26	Part 1
2.2 Identify and gain access to appropriate computational devices			Part 1
2.3 Collect required input data			Part 1
2.4 Analyse collected data for suitability and completeness			Part 1
2.5 Take appropriate action to address any deficiencies found			Part 1
3. Solve problem using calculus	3.1 Apply appropriate technique to collected data			Part 1
3.2 Check answer to ensure it is within the expected rational results			Part 1
3.3 Interpret answer to determine information required by problem definition and translate the result of the statistical analysis into a form which is useable by relevant stakeholders			Part 1
4. Communicate outcomes	4.1 Communicate outcome to relevant stakeholders by appropriate means			Part 1
4.2 Explain outcome to stakeholders, as appropriate			Part 1
4.3 Confirm that the result of the analysis assists in the resolution of the problem			Part 1

Other Information

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 http://www.rmit.edu.au/students/enrolment/credit 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 http://www.rmit.edu.au/studyandlearningcentre to find more information about Study and learning Support

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.
Please refer to https://www.rmit.edu.au/students/support-and-facilities/student-support/equitable-learning-services to find more information about services offered by Equitable Learning Services (ELS).

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:

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: www.rmit.edu.au/academicintegrity to find more information about plagiarism.

Course Overview: Access Course Overview