# Course Title: Aerospace Mathematics 1

## Part B: Course Detail

Teaching Period: Term1 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

Tatjana Grozdanovski
9925 2683
tatjana.grozdanovski@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 relevant exercise in class.

Teaching Schedule

Week                          Date                                       Topics

1                                  13 February                          Limits
Differentiation by First Principles
2                                  20 February                          Differentiation of various functions by rule
3                                  27 February                          Product Rule
Quotient Rule
4                                  6 March                                 Chain Rule
Higher Derivatives
5                                  13 March                               Parametric Differentiation
Implicit Differentiation
6                                   20 March                              Applications of Differentiation
7                                   27 March                              Applications of Differentiation
8                                   3 April                                   Revision
9                                   10 April                                 Easter vacation
10                                 17 April                                 MID SEMESTER TEST
11                                24 April                                  Integration of various functions
12                                 1 May                                    Integration by substitution
13                                8 May                                     Integration using Partial Fraction
14                                15 May                                   Integration by parts
15                                22 May                                  Applications of Integration- Area & Volume
16                                29 May                                  Hyperbolic functions
17                                5 June                                   Revision
18                                12 June                                 End of semester TEST
19                                19 June                                 Exam week Cont…

Learning Resources

Prescribed Texts

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.

Two Assignments worth 10% each.
Two Examinations worth 40% each.

The assignments are to be completed before each examination. Assignments are to be done outside of class time.
The examinations will consist of a series of a short answer questions. Method marks will be given so it is essential that all working out is shown.

Assessment Matrix

Assignment 1 will cover topics up to week 5 (10%)
Mid semester test on topics studied during weeks 1 - 8 (40%)
Assignment 2 will cover topics from week 11-15 (10%)
End of semester test on topics studied during weeks 11-17 (40%)

Course Overview: Access Course Overview