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Unit (2017)

Information on this page, including unit offerings, is from the 2017 academic year.

Calculus and Matrix Algebra (MAS161)

School School of Engineering and Information Technology
Credit Points 3
Availability MURDOCH: S1-internal, S1-external, S2-internal, S2-external
Teaching Timetables Murdoch S1
Murdoch S2
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, you 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 and Scientific Notebook 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 three 1-hour lectures each week, in which the relevant concepts and problem-solving skills will be demonstrated and discussed. Lectures will also be supplemented by a weekly 1-hour tutorial (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 (of which there will be five) and a mid-semester test (internal only). This assessment is 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 LMS.

The weightings for assessment items are as follows.

Internal Mode:
Assignments (5) - 25%
Mid-Semester Test (50mins) - 10%
Final Examination (3hrs) - 65%

External Mode:
Assignments (5) - 30%
Final Examination (3hrs) - 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
Chemistry (BSc) [New in 2014]
Mathematics and Statistics (BSc) [New in 2014]
Mineral Science (BSc) [New in 2014]
Physics and Nanotechnology (BSc) [New in 2014]
Secondary Teaching (Science Combined Mathematics) (BEd)+(BSc) [New in 2014]
Chemical and Metallurgical Engineering Honours (BE(Hons)) [New in 2015]
Electrical Power Engineering Honours (BE(Hons)) [New in 2015]
Environmental Engineering Honours (BE(Hons)) [New in 2015]
Industrial Computer Systems Engineering Honours (BE(Hons)) [New in 2015]
Instrumentation and Control Engineering Honours (BE(Hons)) [New in 2015]
Renewable Energy Engineering Honours (BE(Hons)) [New in 2015]
Appears in these Minors Industrial and Applied Mathematics
Internet Access RequirementsMurdoch 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.


Unit Coordinator
Dr Amy Glen

Murdoch Campus
t: 9360 2307
e: A.Glen@murdoch.edu.au
o: 245.3.027 - Science and Computing, Murdoch Campus
Unit Contacts

MURDOCH: S2-External
MURDOCH: S2-Internal
Dr Amy Glen

Murdoch Campus
t: 9360 2307
e: A.Glen@murdoch.edu.au
o: 245.3.027 - Science and Computing, Murdoch Campus

MURDOCH: S1-External
MURDOCH: S1-Internal
Dr Duncan Farrow
Associate Dean for Courses and Admissions

Murdoch Campus
t: 9360 2819
e: D.Farrow@murdoch.edu.au
o: 245.3.004 - Science and Computing, Murdoch Campus
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