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. |
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.
Assessment Tasks
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