Information on this page, including unit offerings, is from the 2020 academic year.
Calculus and Matrix Algebra (MAS161)
|Organisational Unit||Information Technology, Mathematics and Statistics|
|Availability||MURDOCH: S1-internal, S1-external, S2-internal, S2-external|
|Teaching Timetables||Murdoch S1
|Description||Calculus and matrix algebra form the basis of the mathematical knowledge required to model physical, environmental, biological and engineering systems and investigate their behaviour. This unit assumes an understanding of the basic topics and develops them further. Vector and matrix operations, determinants, inverses and eigenvalues will be considered along with differentiation, integration, sequences and series, differential equations, and introductory multivariable calculus. Applications will be considered, with computer algebra packages used to reduce tedious calculations and present results.|
|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, and be aware of their application to solve a variety of real world problems.
2. Appreciate the role that computers can play in problem solving (including being aware of their weaknesses), and be able to use a package such as MATLAB to carry out routine calculations.
3. Be able to present coherent written solutions to routine and practical problems, and when asked, to givean explanation or justification for certain mathematical claims.
4. Be able to draw analogies between seemingly different concepts defined in different contexts.
5. 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.
|Timetabled Learning Activities||Lectures: 3 x 1 hour per week; tutorials: 1 x 1 hour per week.|
|Unit Learning Experiences||Undertaking this unit will allow you to develop your problem solving skills, especially in the context of mathematical techniques applied to vectors, matrices, and the calculus of multivariable functions used to model real world problems.
The unit content will be delivered via a series of lectures in which the relevant concepts and problem-solving skills will be demonstrated and discussed. Lectures will also be supplemented by weekly tutorials (internal only), designed to reiterate key elements of the unit content by way of further learning exercises (provided on a weekly worksheet), with a greater opportunity for you to receive individual attention and assistance if needed.
Lecture recordings and notes, tutorial worksheets, assignment question sheets, past exams and solutions, as well as other relevant material, will be provided via the Learning Management System (LMS) and you are strongly encouraged to make use of these online resources.
|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 Systems.
The weightings for assessment items are as follows.
Assignments (5) - 25%
Mid-Semester Test - 10%
Final Examination - 65%
Assignments (5) - 30%
Final Examination - 70%
|Prerequisites||MAS182 Applied Mathematics OR a final scaled score of 55% or more in TEE Calculus or equivalent OR a final scaled score of 55% or higher in ATAR Mathematics Specialist (or WACE Mathematics: Specialist 3C/3D).|
|Exclusions||Students may not enrol in this unit and either MAS164 Fundamentals of Mathematics or MAS182 Applied 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.|