Course Title: Aerospace Mathematics 1
Part B: Course Detail
Teaching Period: Term1 2011
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
Brian Hayes
Building 51 Level 7 Room 05
Tel: +61 3 9925 4745
brihaye@rmit.edu.au
Tatjana Grozdanovski
Building 51 Level 5 Room 04
Tel: +61 3 9925 4689
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. |
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
Learning activities include class exercises using mathematical techniques of differentiation and integration to solve engineering problems.
In addition to written tests and class exercises, the students are required to work on a project to solve engineering problems.
Teaching Schedule
This course involves the delivery of following key topics over 17 sessions (9-10 Weeks).
Session 1. Limits, differentiation by First Principles – Polynomial functions by first principle
Session 2 . Differentiation of functions by rule – First and second derivatives of Polynomials, trigonometric, exponential and logarithmic functions
Session 3. Chain rule, Product rule, Quotient rule Apply the 3 rules to all types of functions covered in session 2 (QUIZ 1 on limits, first principles and differentiation rule)
Session 4 . Parametric differentiation, Implicit differentiation Solve engineering problems using the principles of differentiation
Session 5. Use differential calculus to find stationary points, and maxima and minima application. Solve engineering problems using the principles of differentiation
Session 6 .Application of differentiation to rates of change, equations of tangents and normal and rectilinear motion Solve engineering problems using the principle of differentiation (QUIZ 2 applications of differentiation).
Session 7. Newton’s method for solving equations Solve engineering problems using the principles of differentiation
Session 8. Revision
Session 9 Mid semester test (1 hr) Covering Element 1
Session 10. Integration - Find the indefinite integral of Polynomials, trigonometric and exponential functions (Hand out Project )
Session 11. Integration - Evaluate definite integral of Polynomials, trigonometric and exponential functions, and hence find the area .
Session 12. Applications of Simpson’s rule Solve engineering problems using the principles of integration (QUIZ 3 on Simpsons rule and applications)
Session 13. Area between 2 curves .Solve engineering problems using the principles of integration
Session 14. Application of integration to distance travelled and rectilinear motion Solve engineering problems using the principles of integration (Project DUE).
Session 15. Revision .Solve engineering problems using the principles of integration (QUIZ 4 applications of integration).
Session 16. Revision. Solve engineering problems using the principles of differentiation and integration.
Session 17. Final exam (2 hrs) Covering Element 1 and 2
Learning Resources
Prescribed Texts
There are no prescribed Textbooks. Class notes and references will be provided to students |
References
1. G. F. Fitz-Gerald and I. A. Peckham, Mathematical Methods for Engineers and Scientists. |
Other Resources
An approved Graphics Calculator
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
Participants are required to complete four types of assessment tasks. There are four quizzes worth 20% in total, one closed book test worth 20%, one project worth 20% and one closed book exam worth 40%.
Successful completion is achieved if the student attains at least 50% of total mark for each assessment task AND his/her accumulation of marks is NOT less than 50% of all the assessment tasks.
Assessment Task Element Percentage
Quizzes Element 1 and 2 20%
Mid-Sem Test Element 1 20%
Project Element 1, 2 20%
Exam Element 1, 2 40%
Assessment Matrix
Assessment Task Element Percentage
Quizzes Element 1 and 2 20%
Mid-Sem Test Element 1 20%
Project Element 1, 2 20%
Exam Element 1, 2 40%
Other Information
Academic Misconduct
Students are reminded that cheating, whether by fabrication, falsification of data, or plagiarism, is an offence subject to University disciplinary procedures. Plagiarism in oral or written presentations is the presentation of the work, idea or creation of another person, without appropriate referencing, as though it is one’s own. Plagiarism is not acceptable.
The use of another person’s work or ideas must be acknowledged. Failure to do so may result in charges of academic misconduct which carry a range of penalties including cancellation of results and exclusion from your course.
Students are responsible for ensuring that their work is kept in a secure place. It is also a disciplinary offence for students to allow their work to be plagiarized by another student. Students should be aware of their rights and responsibilities regarding the use of copyright material. It is strongly recommended that students refer to the RMIT 2001 Guidelines for Students or to the RMIT University Homepage.
Course Overview: Access Course Overview