Information on this page, including unit offerings, is from the 2020 academic year.
Applied Mathematics (MAS182)
|Organisational Unit||Information Technology, Mathematics and Statistics|
|Availability||MURDOCH: S1-internal, S1-external, S2-internal, S2-external|
|Teaching Timetables||Murdoch S1
|Description||This unit provides an introduction to differential and integral calculus, and basic ordinary differential equations. The concepts and techniques will be motivated and illustrated using mathematical models in engineering, the physical and biological sciences, commerce, economics and the social sciences. Other topics include complex numbers and their applications.|
|Unit Learning Outcomes||On successful completion of this unit you should be able to:
1. Use the basic ideas, rules and techniques of differentiation and integration.
2. Analyse problems and use a range of calculus techniques to solve them.
a. Apply differential equations to mathematical models of physical and biological phenomena.
b. Use simple differential equations to describe growth and decay and to solve problems.
c. Use trigonometric functions in various applications.
3. Express complex numbers in Cartesian and polar form. Do basic algebra of complex numbers.
4. Present coherent written solutions to various problems related to the material in the unit.
|Timetabled Learning Activities||Lectures: 3 x 1 hour per week; tutorials: 1 x 1 hour per week.|
|Unit Learning Experiences||Internal students should attend all lectures and tutorials in this unit. External students can choose to watch the recorded lectures on Echo360 or to study from the textbook following the Learning Guide, but a combination of both is recommended.
This unit does not require a lot of extra reading outside of the material covered in lectures. The best approach to study successfully is to have a quick look through the learning guide and textbook to get an idea of which topic(s) is/are being covered before attending/watching each lecture. After each lecture, it is an effective way to cement what you have learned by going over the section of the material that has just been covered, writing a dot-point summary of what you have learned and identifying any parts that you have not understood fully. You can then read the relevant section in the textbook, re-watch the lecture or discuss the topic with classmates. Your lecturer and tutors are also there to help. The key is to clear your doubts as soon as they occur.
The next task would be to do the relevant exercises as suggested in the Learning Guide. Internal students should (also) attempt 40-50% of the tutorial questions before attending a tutorial. External students can use the tutorial worksheets as an additional set of exercises
|Assessment||Your ability to solve relevant mathematical problems will be assessed at regular intervals during the semester via assignments and a mid-semester test (internal only). These assessments are designed to allow you to demonstrate your ability in each of the content areas of the unit and to give you regular feedback on your progress, helping you to identify your areas of strength or weakness during the semester. Assignment solutions and results will be posted progressively on the Learning Management System.
The weightings for assessment items are as follows:
Assignments (5) - 20%
Tutorial participation - 10%
Mid-Semester Test - 10%
Final Examination - 60%
Assignments (5) - 30%
Final Examination - 70%
|Prerequisites||MAS164 Fundamentals of Mathematics OR at least a pass in the Year 11 course Introduction to Calculus together with a final scaled score of 55% or more in TEE Applicable Mathematics OR a final scaled score of 55% or higher in ATAR Mathematics Methods (WACE Mathematics 3C/3D).|
|Exclusions||Students who have successfully completed a calculus unit of the level of MAS161 Calculus and Matrix Algebra or higher may not enrol in this unit for credit. Students may not enrol in this unit and either MAS161 Calculus and Matrix Algebra or MAS164 Fundamentals of Mathematics concurrently.|
|Appears in these Courses/Majors:
see individual structures for context
|Appears in these Co-Majors||Mathematics Minor Teaching Area
|Appears in these Minors||Applied and Computational Mathematics
Industrial and Applied Mathematics
|Internet Access Requirements||Murdoch units normally include an online component comprising materials, discussions, lecture recordings and assessment activities. All students, regardless of their location or mode of study, need to have access to and be able to use computing devices with browsing capability and a connection to the Internet via Broadband (Cable, ADSL or Mobile) or Wireless. The Internet connection should be readily available and allow large amounts of data to be streamed or downloaded (approximately 100MB per lecture recording). Students also need to be able to enter into online discussions and submit assignments online.|