Information on this page, including unit offerings, is from the 2020 academic year.
Mathematical Methods (MAS220)
|Organisational Unit||Information Technology, Mathematics and Statistics|
|Availability||MURDOCH: S1-internal, S1-external|
|Teaching Timetables||Murdoch S1
|Description||Real problems often involve a number of variables that depend on time (a vector function), or a single function that depends on many variables (a function of several variables), or a combination of both. This unit is made up of four sections: Fourier series, multivariable calculus, linear algebra and Laplace transforms. These are branches of mathematics essential for dealing with such real-world problems.|
|Unit Learning Outcomes||On successful completion of the unit, students should:
1. be familiar with a number of new ideas and techniques from calculus and linear algebra, including calculus of several variables, Fourier analysis and Laplace transforms.
2. be able to present coherent written reports - both on their solutions to routine and practical problems, and when asked, to give an explanation or justification for certain mathematical claims.
3. be able to cope with a higher level of abstraction so that more complicated applied problems can be solved, and similarities can be drawn between different problems.
4. be able to understand and recognise some of the important mathematical concepts that appear in sophisticated models of the real world.
5. have increased knowledge of fundamental mathematics so that they are able to extend theirr capabilities at some point in the future if necessary.
6. appreciate the role that computers play in problem solving (including their weaknesses).
|Timetabled Learning Activities||Lectures: 3 x 1 hour per week; tutorials: 1 x 1 hour per week.|
|Unit Learning Experiences||Ideas are presented and illustrated in lectures with examples and motivation. These ideas are reinforced in the tutorial/workshop setting with experienced practitioners guiding study. Self-directed learning and working together is emphasised in the assignment component of the unit.|
|Assessment||All students' abilities 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 students to demonstrate their ability in each of the content areas of the unit and to give students regular feedback on their progress, helping them to identify their 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 (4) - 25%
Mid-Semester Test - 10%
Final Examination - 65%
Assignments (4) - 30%
Final Examination - 70%
|Prerequisites||MAS161 Calculus and Matrix Algebra OR MAS208/MAS221 Mathematical Modelling OR equivalent.|
|Exclusions||Students may not enrol in this unit and either of MAS164 Fundamentals of Mathematics or MAS182 Applied Mathematics or equivalent concurrently. Students who previously successfully completed MAS261 Mathematical Methods cannot enrol in this unit for credit.|
|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.|