Unit Guide

General Information

Unit convenor and teaching staff	Unit convenor and teaching staff Adam Sikora adam.sikora@mq.edu.au Elena Vynogradova elena.vynogradova@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
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

Requirements to Pass this Unit

To pass this unit you must:

Achieve a total mark equal to or greater than 50%, and
Participate in a minimum of 10 of the 12 weekly SGTA classes.

Weekly quizzes

• Nine weekly quizzes in weeks 2-4, 6-10 and 12. Each quiz is worth 2% with a maximumof 16% going towards the unit assessment (best eight results).

Hurdle Assessments

Assessment 1: Practice-based task (0%)

Development of knowledge and skills requires continual practice. During SGTAs you will practice a range of mathematical techniques. To pass this hurdle assessment, you must be able to demonstrate your progress in developing and communicating knowledge and skills in 10 of the 12 SGTAs. This is a hurdle assessment meaning that failure to meet this requirement may result in a fail grade for the unit. Students are permitted up to three absences: additional absences will require a Special Consideration to be applied for (see below).

Late Assessment Submission Penalty

Unless a Special Consideration request has been submitted and approved, a 5% penalty (ofthe total possible mark of the task) will be applied for each day a written report or presentation assessment is not submitted, up until the 7th day (including weekends). After the 7th day, a grade of ‘0’ will be awarded even if the assessment is submitted. The submission time for all uploaded assessments is 11:55 pm. A 1-hour grace period will be provided to students who experience a technical concern.

For any late submission of time-sensitive tasks, such as scheduled tests/exams, performanceassessments/presentations, and/or scheduled practical assessments/labs, please apply for Special Consideration.

Assessments where Late Submissions will be accepted

• Assessment - Assignment Week 12 – YES, Standard Late Penalty applies;

• Assessment – Test1 – NO, unless Special Consideration is Granted;

• Assessments – Test2 – NO, unless Special Consideration is Granted;

• Assessments – Weekly Quizzes –NO, unless Special Consideration is Granted.

Special Consideration

The Special Consideration Policy aims to support students who have been impacted by short-term circumstances or events that are serious, unavoidable and significantly disruptive, and which may affect their performance in assessment. If you experience circumstances or events that affect your ability to complete the assessments in this unit on time, please inform the convenor and submit a Special Consideration request through ask.mq.edu.au.

Written Assessments/Quizzes/Tests: If you experience circumstances or events that affect your ability to complete the written assessments in this unit on time, please inform the convenor and submit a Special Consideration request through ask.mq.edu.au.

Participation in SGTA classes: To pass the unit you need to demonstrate ongoing development of skills and application of knowledge in 10 out of 12 of the weekly SGTA classes. If you miss a weekly SGTA class due to a serious, unavoidable and significant disruption, contact your convenor ASAP as you may be able to attend another class that week. If it is not possible to attend another class, you should still contact your convenor for access to class material to review in your own time. Note that a Special Consideration should only be applied for if you miss more than two of the weekly practical classes.

Assessment Tasks

Name	Weighting	Hurdle	Due
Participation in SGTA classess	0%	Yes	10 out of 12 weeks
Weekly Quiz	16%	No	11:55pm on Sunday's
Test 2	12%	No	Week 11
Test 1	12%	No	Week 5
Assignment	10%	No	end of Week 12
Final exam	50%	No	exam period

Participation in SGTA classess

Assessment Type ¹: Practice-based task
Indicative Time on Task ²: 0 hours
Due: 10 out of 12 weeks
Weighting: 0%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)