# Course Title: Aerospace Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2010

Course Code: MATH5156

Course Title: Aerospace Mathematics 1

School: 155T Vocational Health and Sciences

Campus: City Campus

Program: C6011 - Advanced Diploma of Engineering (Aerospace)

Course Contact: Nancy Varughese

Course Contact Phone: +61 3 9925 4713

Course Contact Email: nancy.varughese@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

A pass in MEM30012A Apply mathematical techniques in manufacturing, engineering or related situations or
Year 11 mathematical methods 1 and 2, or equivalent

Course Description

This unit covers the selection and application of calculus techniques to resolve engineering problems. It includes finding derivatives from first principles, using rules of derivatives to find first and second derivatives of functions; applying integral calculus to functions; applying differential and integral calculus to engineering problems.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: VBH154 Aerospace Mathematics 1 Element: 1. Apply differentiation techniques to engineering applications. 2. Apply integration techniques to engineering applications.

Learning Outcomes

1. Apply differentiation techniques to engineering applications.

1. 1 Differentiate polynomial functions by first principles.
1.2. Differentiate polynomials, trigonometric, logarithmic and exponential functions using the rules of differentiation.
1.3  Use the chain, product and quotient rule of differentiation to all functions in 1.2 above.

1.4 Application of differentiation to solving engineering problems.

2. Apply integration techniques to engineering applications.

2.1 Integrate polynomials, trigonometric, and exponential functions using the rules of integration.
2.2 Evaluate definite integrals of functions above in 2.1, and find areas.

2.3  Application of ntegration techniques to solve engineering problems.

Details of Learning Activities

Learning activities include class exercises, assignments and tests.

Teaching Schedule

Topics
Week Beginning 05 July- Limits, Differentiation by First Principles
Week Beginning 12 July- Differentiation of various functions by rule
Week Beginning 19 July- Chain Rule, Product Rule, Quotient Rule
Week Beginning 26 July- Higher derivatives and nature of the curve
Week Beginning 02 Aug- Parametric differentiation, Implicit differentiation – Assignment 1 handout
Week Beginning 09 Aug- Applications of differentiation
Week Beginning 16 Aug- Applications of differentiation, revision– Assignment 1 due
Week Beginning 23 Aug- Mid semester Test
Week Beginning 30 Aug- BREAK
Week Beginning 06 Sep- Integration of various functions
Week Beginning 13 Sep- Integration by substitution
Week Beginning 20 Sep- Integration by parts
Week Beginning 27 Sep- Integration using partial fraction, Assignment 2 hand out
Week Beginning 04 Oct-  Applications of integration
Week Beginning  11 Oct- Applications of integration, Assignment 2 due
Week Beginning  18 Oct- Revision
Week Beginning  25 Oct- Revision
Week Beginning  01 Nov- End of semester test week
Week Beginning 08 Nov- End of semester test week

Learning Resources

Prescribed Texts

References

Other Resources

Overview of Assessment

Assessment may incorporate a variety of methods including written/oral activities and demonstration of mathematical problem solving skills to solve engineering problems. 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.