# Course Title: Aerospace Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2009

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

Dr. Ejanul Haque

Building 51, Level 6, Room 21
Ph: +61 3 9925 4530
ejanul.haque@rmit.edu.au

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

Students will need to attend classes which will be a combination of lecture and tutorial.
Students will be provided printed course notes and exercises. Students are expected to finish the relevent exercise in class.

Teaching Schedule

 Week No. Week Beginning Topics 1 06 Jul Limits, Differentiation by First Principles 2 13 Jul Differentiation of various functions by rule 3 20 Jul Chain Rule, Product Rule, Quotient Rule 4 27 Jul Higher derivatives and nature of the curve 5 03 Aug Parametric differentiation, Implicit differentiation 6 10 Aug Applications of differentiation 7 17 Aug Applications of differentiation 8 24 Aug Revision 8 31 Aug Mid semester break (31 Aug-06 Sep) 9 07 Sep Mid semester test 10 14 Sep Integration of various functions 11 21 Sep Integration by substitution 12 28 Sep Integration by parts 13 05 Oct Integration using partial fraction 14 12 Oct Applications of integration 15 19 Oct Hyperbolic functions 16 26 Oct Revision 17 02 Nov End semester test week 18 09 Nov End semester test week

Learning Resources

Prescribed Texts

 Students will be provided with lecture notes and exercise books which they must bring to every class

References

Other Resources

Students will need to have either a scientific or graphic calculator. The recommended calculator is a Texas Instrument with approved model numbers: TI-83, TI-83+, TI-84 and TI-84+

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.