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During 2021 we will continue to support students who need to study remotely due to the ongoing impacts of COVID-19 and travel restrictions. Make sure you check the location code when selecting a unit outline or choosing your units of study in Sydney Student. Find out more about what these codes mean. Both remote and on-campus locations have the same learning activities and assessments, however teaching staff may vary. More information about face-to-face teaching and assessment arrangements for each unit will be provided on Canvas.

Unit of study_

MATH1002: Linear Algebra

MATH1002 is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a Junior level requirement in the Faculty of Engineering. This unit of study introduces vectors and vector algebra, linear algebra including solutions of linear systems, matrices, determinants, eigenvalues and eigenvectors.

Details

Academic unit Mathematics and Statistics Academic Operations
Unit code MATH1002
Unit name Linear Algebra
Session, year
? 
Intensive August, 2020
Attendance mode Block mode
Location Camperdown/Darlington, Sydney
Credit points 3

Enrolment rules

Prohibitions
? 
MATH1012 or MATH1014 or MATH1902
Prerequisites
? 
None
Corequisites
? 
None
Assumed knowledge
? 

HSC Mathematics or MATH1111. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February).

Available to study abroad and exchange students

No

Teaching staff and contact details

Coordinator Nathan David Brownlowe, nathan.brownlowe@sydney.edu.au
Administrative staff MATH1002@sydney.edu.au
Type Description Weight Due Length
Online task Webwork quiz
online task (may require written calculations)
20% Multiple weeks Various lengths
Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9 LO10 LO11
Assignment Assignment 1
written calculations
10% Week 02
Due date: 02 Aug 2020

Closing date: 10 Aug 2020
7 days
Outcomes assessed: LO1 LO2 LO3 LO5 LO6 LO7
Assignment Assignment 2
written calculations
5% Week 04
Due date: 12 Aug 2020

Closing date: 14 Aug 2020
7 days
Outcomes assessed: LO1 LO6 LO7 LO8 LO9
Final exam (Open book) Type C final exam Final exam
Online open book without invigilation
65% Week 05 1.5 hours
Outcomes assessed: LO1 LO11 LO10 LO9 LO8 LO7 LO6 LO5 LO4 LO3 LO2
Type C final exam = Type C final exam ?

Below are brief assessment details. Further information can be found in the Canvas site for this unit.

  • Online quizzes: There are twelve weekly online quizzes. Each online quiz consists of a set of randomized questions

  • Assignments: There are two written assignments which must be submitted electronically, as PDF files only via Canvas, by the deadline. Note that your assignment will not be marked if it is illegible or if it is submitted sideways or upside down. It is your responsibility to check that your assignment has been submitted correctly.

  • Examination: Further information about the exam will be made available at a later date on Canvas.

Assessment criteria

The University awards common result grades, set out in the Coursework Policy 2014 (Schedule 1).

As a general guide, a high distinction indicates work of an exceptional standard, a distinction a very high standard, a credit a good standard, and a pass an acceptable standard.

Result name

Mark range

Description

High distinction

85 - 100

At HD level, a student demonstrates a flair for the subject as well as a detailed and comprehensive understanding of the unit material. A ‘High Distinction’ reflects exceptional achievement and is awarded to a student who demonstrates the ability to apply their subject knowledge and understanding to produce original solutions for novel or highly complex problems and/or comprehensive critical discussions of theoretical concepts.

Distinction

75 - 84

At DI level, a student demonstrates an aptitude for the subject and a well-developed understanding of the unit material. A ‘Distinction’ reflects excellent achievement and is awarded to a student who demonstrates an ability to apply their subject knowledge and understanding of the subject to produce good solutions for challenging problems and/or a reasonably well-developed critical analysis of theoretical concepts.

Credit

65 - 74

At CR level, a student demonstrates a good command and knowledge of the unit material.
A ‘Credit’ reflects solid achievement and is awarded to a student who has a broad general
understanding of the unit material and can solve routine problems and/or identify and
superficially discuss theoretical concepts.

Pass

50 - 64

At PS level, a student demonstrates proficiency in the unit material. A ‘Pass’ reflects satisfactory achievement and is awarded to a student who has threshold knowledge.

Fail

0 - 49

When you don’t meet the learning outcomes of the unit to a satisfactory standard.

For more information see sydney.edu.au/students/guide-to-grades.

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

  • Deduction of 5% of the maximum mark for each calendar day after the due date.
  • After ten calendar days late, a mark of zero will be awarded.

Special consideration

If you experience short-term circumstances beyond your control, such as illness, injury or misadventure or if you have essential commitments which impact your preparation or performance in an assessment, you may be eligible for special consideration or special arrangements.

Academic integrity

The Current Student website provides information on academic honesty, academic dishonesty, and the resources available to all students.

The University expects students and staff to act ethically and honestly and will treat all allegations of academic dishonesty or plagiarism seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic dishonesty. If such matches indicate evidence of plagiarism or other forms of dishonesty, your teacher is required to report your work for further investigation.

WK Topic Learning activity Learning outcomes
Week 01 Introductions, vectors in the plane, vector algebra, vectors in R3 and Rn. (2 hr) LO1
Length and angle: the dot product, orthogonal vectors, projections (2 hr) LO2 LO5
Cross products (2 hr) LO5
Week 02 Lines and planes (2 hr) LO2 LO3
Systems of linear equations and Gaussian elimination (2 hr) LO6 LO7
Gauss-Jordan elimination, intro to matrices, matrix algebra (2 hr) LO6 LO7 LO8
Week 03 Matrix algebra, inverse of a matrix. (2 hr) LO8
Solving systems of linear equations, elementary matrices (2 hr) LO6 LO8
Applications to population models and Markov chains (2 hr) LO8 LO11
Week 04 Determinants (2 hr) LO8
Eigenvalues and eigenvectors (2 hr) LO9
Diagonalisation and more on applications (2 hr) LO10 LO11

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 3 credit point unit, this equates to roughly 60-75 hours of student effort in total.

Required readings

  • Linear Algebra: A Modern Introduction, by David Poole, 4th edition. Available from the Co-op Bookshop: digital access
    available from the publisher cengage.com

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University’s graduate qualities and are assessed as part of the curriculum.

At the completion of this unit, you should be able to:

  • LO1. apply mathematical logic and rigour to solving problems;
  • LO2. represent vectors both algebraically and geometrically in two and three dimensions, and perform arithmetic with them;
  • LO3. use vectors to solve classical geometric problems;
  • LO4. determine spanning families and check linear independence
  • LO5. perform and manipulate dot and cross products;
  • LO6. set up systems of linear equations;
  • LO7. solve systems of linear equations using Gaussian elimination;
  • LO8. perform matrix arithmetic and calculate matrix inverses and determinants;
  • LO9. find eigenvalues and eigenvectors;
  • LO10. diagonalise a matrix;
  • LO11. express mathematical ideas and arguments coherently in written form.

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1 Depth of disciplinary expertise

Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.

GQ2 Critical thinking and problem solving

Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.

GQ3 Oral and written communication

Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.

GQ4 Information and digital literacy

Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.

GQ5 Inventiveness

Generating novel ideas and solutions.

GQ6 Cultural competence

Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.

GQ7 Interdisciplinary effectiveness

Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.

GQ8 Integrated professional, ethical, and personal identity

An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.

GQ9 Influence

Engaging others in a process, idea or vision.

Outcome map

Learning outcomes Graduate qualities
GQ1 GQ2 GQ3 GQ4 GQ5 GQ6 GQ7 GQ8 GQ9
Some material has been removed.

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.

To help you understand common terms that we use at the University, we offer an online glossary.