Unit Guide

General Information

Unit convenor and teaching staff	Unit convenor and teaching staff Unit convenor/Lecturer Richard Garner richard.garner@mq.edu.au Contact via by email 12WW 718 Please refer to iLearn Co-convenor/lecturer Justin Tzou justin.tzou@mq.edu.au Contact via by email 12WW 713 please refer to iLearn Christine Hale christine.hale@mq.edu.au
Credit points	Credit points 10
Prerequisites	Prerequisites MATH1020 or MATH1025 or MATH133 or MATH136 or WMAT1020 or WMAT136
Corequisites	Corequisites
Co-badged status	Co-badged status MATH2055 Engineering Mathematics II
Unit description	Unit description The idea of a vector space first introduced in MATH1020 and MATH1025 is enriched in this unit by the introduction of an inner product. This leads to the important notion of orthogonality that underpins many areas of mathematics. The idea of linear transformations which transfer linearity from one space to another is also discussed. The results and techniques are then applied to problems such as approximation, quadratic forms and Fourier series. Differential and integral calculus involving functions of two real variables introduced in MATH1020 and MATH1025 are generalised to multivariable calculus including vector-valued functions, multivariable Taylor approximations, constrained optimization and multiple integrals in various coordinate systems. The ideas introduced in the unit are central to the development of many areas of modern areas of mathematics and to mathematical modelling of real world phenomena encounter in scientific and engineering problems.

Important Academic Dates

Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates

Learning Outcomes

On successful completion of this unit, you will be able to:

ULO1: Determine the rates of change of systems that vary over space and time and construct approximate representations for them (multi-variable Taylor series).
ULO2: Formulate and solve simple physical problems through the use of linear techniques.
ULO3: Develop multiple representations for a system and justify the best choice physically (eg. Fourier Series).
ULO4: Successfully communicate how the mathematical methods developed in the unit relate to real world systems.

General Assessment Information

ASSIGNMENT SUBMISSION: Assignment submission will be online through the iLearn page.

Submit the assignment online via the appropriate assignment link on the iLearn page. A personalised cover sheet is not required with online submissions. Read the submission statement carefully before accepting it as there are substantial penalties for making a false declaration.

Assignment submission is via iLearn. You should upload this as a single scanned PDF file.
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It is your responsibility to make sure your assignment submission is legible.
If there are technical obstructions to your submitting online, please email us to let us know.

You may submit as often as required prior to the due date/time. Please note that each submission will completely replace any previous submissions. It is in your interests to make frequent submissions of your partially completed work as insurance against technical or other problems near the submission deadline.

LATE SUBMISSION OF WORK:

All assessment tasks must be submitted by the due date and time. In the case of a late submission of the assignment, where special consideration has NOT been granted, the following procedure will be followed:

A 12-hour grace period will be given after which the following deductions will be applied to the awarded assessment mark:

12 to 24 hours late = 10% deduction.
For each day thereafter (including weekends and/or public holidays) an additional 10% per day or part thereof.
Until five days beyond the due date; after this time, a mark of zero (0) will be given.

FINAL EXAM POLICY: It is Macquarie University policy not to set early examinations for individuals or groups of students. All students are expected to ensure that they are available until the end of the teaching semester, that is, the final day of the official examination period. The only excuse for not sitting an examination at the designated time is because of documented illness or unavoidable disruption. In these special circumstances, you may apply for special consideration via ask.mq.edu.au.

If you receive special consideration for the final exam, a supplementary exam will be scheduled in the interval between the regular exam period and the start of the next session. By making a special consideration application for the final exam you are declaring yourself available for a resit during this supplementary examination period and will not be eligible for a second special consideration approval based on pre-existing commitments. Please ensure you are familiar with the policy prior to submitting an application.

You can check the supplementary exam information page on FSE101 in iLearn (bit.ly/FSESupp) for dates, and approved applicants will receive an individual notification one week prior to the exam with the exact date and time of their supplementary examination.

Assessment Tasks

Name	Weighting	Hurdle	Due
Test 2	12%	No	Week 11
Test 1	12%	No	Week 5
Weekly Quiz	16%	No	Weeks 2-12
Assignment	10%	No	Week 12
SGTA Participation	0%	Yes	Weeks 2-13
Final exam	50%	No	Final exam period

Test 2

Assessment Type ¹: Quiz/Test
Indicative Time on Task ²: 7 hours
Due: Week 11
Weighting: 12%

This will test the ability of students to analyse and solve mathematical problems using concepts and techniques in linear algebra and calculus.