# Course Title: Aerospace Mathematics 1

## Part B: Course Detail

Teaching Period: Term1 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

Selva Venkatesan
E658333@ems.rmit.edu.au
Room: 51-07-05
Phone: (03)9925 4964

Donna Baker
E37319@ems.rmit.edu.au

Tatjana Grozdanovski
E61565@ems.rmit.edu.au

Arathi Arakala
E61820@ems.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 08 Feb Limits, Differentiation by First Principles 2 15 Feb Differentiation of various functions by rule 3 22 Feb Chain Rule, Product Rule, Quotient Rule 4 01 Mar Higher derivatives and nature of the curve 5 08 Mar Parametric differentiation, Implicit differentiation 6 15 Mar Applications of differentiation 7 22 Mar Applications of differentiation 8 29 Mar Revision 9 12 Apr Mid semester test 10 19 Apr Integration of various functions 11 26 Apr Integration by substitution 12 03 May Integration by parts 13 10 May Integration using partial fraction 14 17 May Applications of integration 15 24 May Hyperbolic functions 16 31 May Revision 17 07 Jun End semester test week 18 14 Jun 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.

The tests will consist of a series of short answer and application questions. Method marks will be given, it is essential that all working out is shown.

Assessment Matrix

Assessment                       Topics covered                         %of total assessment

Mid semester test             studied during week 1 - 8                 35

End of semester test        studied during week 10-16              55

Assignment                       studied during week 1-14                 10

Course Overview: Access Course Overview