# Course Title: Aerospace Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2008

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

Val Augustin
+61 3 9925 4515
valerie.augustin@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     Date             Topics
1             8 July           Limits
Differentiation by First Principles
2             15 July         Differentiation of various functions by rule
3             22 July         Product Rule, Quotient Rule
4             29 July         Chain Rule, Higher derivatives
5             5 August      Parametric differentiation, Implicit differentiation
6             12 August     Applications of differentiation
7             19 August     Applications of differentiation cont..
8             26 August     Revision
9             2 Sept            VACATION WEEK
10           9 Sept           Mid semester test
11           16 Sept        Integration of various functions
12           23 Sept        Integration by substitution
13           30 Sept        Integration using partial fraction
14           7 Oct             Integration by parts
15         14 Oct            Applications of integration
16         21 Oct            Hyperbolic functions
17         28 Oct             Revision
18         4 Nov              Melbourne Cup Day PUBLIC HOLIDAY
19         11 Nov             End of semester test

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.