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Linear Algebra: Advanced (MAST10022)
Undergraduate level 1Points: 12.5On Campus (Parkville)
To learn more, visit 2023 Course and subject delivery.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Overview
Availability | Semester 1 |
---|---|
Fees | Look up fees |
This subject covers the same material as MAST10007 Linear Algebra, but to a greater depth including a greater emphasis on mathematical rigour and proof.
This subject gives a solid grounding in key areas of modern mathematics needed in science and technology. It develops the concept of a vector space, including linear transformations, matrices and the methods of linear algebra. There will be an emphasis on the axiomatic treatment of vector spaces, linear transformations, and inner product spaces.
Students will develop the ability to use the methods of linear algebra and gain an appreciation of mathematical proof including the ability to prove results about vector spaces.
Topics covered include: systems of linear equations; matrices and determinants; vectors in real n-space, cross product, lines and planes; general vector spaces; linear independence; bases and dimension; linear transformations; eigenvalues and eigenvectors; inner product spaces; symmetric and orthogonal matrices; diagonalisation of linear transformations and matrices.
Intended learning outcomes
Students completing this subject should:
- be able to use matrix techniques to represent and solve a system of simultaneous linear equations
- understand the use of vectors as a tool for describing lines and planes in solid geometry
- understand the axiomatic definition of an abstract vector spaces of arbitrary dimension
- understand linear transformations, their matrix representations and applications
- be familiar with the use of a computer package for symbolic and numeric calculation
- be able to construct a simple mathematical proof
Generic skills
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis
- collaborative skills: the ability to work in a team
- time-management skills: the ability to meet regular deadlines while balancing competing commitments
- computer skills: the ability to use mathematical computing packages
Last updated: 15 February 2024
Eligibility and requirements
Prerequisites
Required subjects
A study score of at least 36 in VCE Specialist Mathematics 3/4, or equivalent
OR
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10021 | Calculus 2: Advanced | Semester 2 (On Campus - Parkville) |
12.5 |
OR
Option 1
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10005 | Calculus 1 |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
with a mark of at least 80%
OR
Option 2
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10006 | Calculus 2 |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (On Campus - Parkville)
Semester 1 (On Campus - Parkville)
|
12.5 |
with a mark of at least 75%
OR
Option 3
MAST10019: Calculus Extension studies
with a mark of at least 75%
Corequisites
None
Non-allowed subjects
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10007 | Linear Algebra |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
Summer Term (Dual-Delivery - Parkville)
|
12.5 |
MAST10008 | Accelerated Mathematics 1 | Semester 1 (On Campus - Parkville) |
12.5 |
MAST100118 Linear Algebra Extension Studies
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 15 February 2024
Assessment
Description | Timing | Percentage |
---|---|---|
Eight to ten assignments (written or online) due at regular intervals during semester (approximately 15 hours in total, 10%). Up to one third of the assignment based assessment will be completed online.
| Throughout the semester | 20% |
One 45-minute computer laboratory test held at the end of semester (10%).
| End of semester | 10% |
3-hour written examination in the examination period (80%).
| 70% |
Last updated: 15 February 2024
Dates & times
- Semester 1
Principal coordinator Lawrence Reeves Mode of delivery On Campus (Parkville) Contact hours Total time commitment 170 hours Teaching period 27 February 2023 to 28 May 2023 Last self-enrol date 10 March 2023 Census date 31 March 2023 Last date to withdraw without fail 5 May 2023 Assessment period ends 23 June 2023
Time commitment details
Estimated total time commitment of 170 hours
What do these dates mean
Visit this webpage to find out about these key dates, including how they impact on:
- Your tuition fees, academic transcript and statements.
- And for Commonwealth Supported students, your:
- Student Learning Entitlement. This applies to all students enrolled in a Commonwealth Supported Place (CSP).
Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement.
Last updated: 15 February 2024
Further information
- Texts
Prescribed texts
None
Recommended texts and other resources
Elementary Linear Algebra Applications Version (H. Anton and C. Rorres), 11th edn, Wiley, 2013.
- Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Arts
- Bachelor of Commerce
- Bachelor of Design
- Bachelor of Environments
- Bachelor of Fine Arts (Acting)
- Bachelor of Fine Arts (Animation)
- Bachelor of Fine Arts (Dance)
- Bachelor of Fine Arts (Film and Television)
- Bachelor of Fine Arts (Music Theatre)
- Bachelor of Fine Arts (Production)
- Bachelor of Fine Arts (Screenwriting)
- Bachelor of Fine Arts (Theatre)
- Bachelor of Fine Arts (Visual Art)
- Bachelor of Music
- Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 15 February 2024