Aviation Mathematics
Unit code: HMS141
| Credit points | 12.5 Credit Points |
| Duration | One Semester |
| Contact hours | 60 hours |
| Campus | Hawthorn |
| Prerequisites | HMS101 or a study score of at least 20 in VCE Maths Methods |
| Corequisites | Nil |
Related course(s)
A unit of study in the
Aims and objectives
To meet the mathematical and statistical needs of aviation students who are undertaking either the Bachelor of Aviation or Bachelor of Aviation (Management) degree and may also be undertaking a concurrent Bachelor of Commerce degree.
At the completion of this unit students should be able to;
At the completion of this unit students should be able to;
- solve basic mathematics of calculus, vectors and complex numbers,
- solve basic statistical problems, financial mathematics and data analysis and apply these in an aviation and commerce context.
Teaching methods
Classroom based lectures & tutorials with online Blackboard support.
Lectures - 48 hours, Tutorials - 12 hours.
Generic skills outcomes
- analysis skills,
- problem solving skills,
- ability to tackle unfamiliar problems, and
- ability to work independently.
Content
VectorsAddition, subtraction and scalar products, relative velocity, applications to ground speed, wind speed, airspeed and heading, resolution of forces
Calculus
Limits, differentiation, anti-differentiation, definite integration, separable differential equations
Complex numbers
Operations, conjugates, moduli, polar form, de Moivre’s theorem, exponential functions.
Business and Aviation Statistics
Data summary, analysis and presentation, basic probability, the normal distribution, estimation and testing hypotheses, correlation and regression.
Financial Mathematics
Simple and compound interest, nominal and effective rates, present values, future values, annuities, mortgages, net present value, internal rate of return.
Text books
Student notes will be available from the Swinburne bookshop and/or via Blackboard.
A specialist calculator will be required.
A specialist calculator will be required.
References
Anton, H., Calculus with Analytic Geometry, 5th edn, Wiley, 1995.
Anderson, D.R., Sweeney, D.J. and Williams, T.A., Statistics for Business and Economics, 10th edn, Thomson South-Western, 2008.
Mustoe, L.R. and Barry, M.D.J., Mathematics in Engineering and Science, Wiley, 1998.
Stroud, K.A. and Booth, D.J., Engineering Mathematics, 6th edn, Palgrave Macmillan, 2007.
Swift, L., Mathematics and Statistics for Business, Management and Finance, 2nd edn, Macmillan, 1997.
Anderson, D.R., Sweeney, D.J. and Williams, T.A., Statistics for Business and Economics, 10th edn, Thomson South-Western, 2008.
Mustoe, L.R. and Barry, M.D.J., Mathematics in Engineering and Science, Wiley, 1998.
Stroud, K.A. and Booth, D.J., Engineering Mathematics, 6th edn, Palgrave Macmillan, 2007.
Swift, L., Mathematics and Statistics for Business, Management and Finance, 2nd edn, Macmillan, 1997.
