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Linear Algebra (MAST10007)
Undergraduate level 1Points: 12.5On Campus (Parkville) and Dual-Delivery (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
Summer Term
Semester 1
Semester 2
Overview
Availability | Summer Term - Dual-Delivery Semester 1 - On Campus Semester 2 - On Campus |
---|---|
Fees | Look up fees |
This subject gives a solid grounding in key areas of modern mathematics needed in science and technology. It develops the concepts of vectors, matrices and the methods of linear algebra. Students should develop the ability to use the methods of linear algebra and gain an appreciation of mathematical proof. Little of the material here has been seen at school and the level of understanding required represents an advance on previous studies.
Systems of linear equations, matrices and determinants; vectors in real n-space, cross product, scalar triple product, lines and planes; vector spaces, linear independence, basis, dimension; linear transformations, eigenvalues, eigenvectors; inner products, least squares estimation, symmetric and orthogonal 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 in describing lines and planes in solid geometry;
- understand the extension of vector concepts to abstract vector spaces of arbitrary finite dimension;
- understand linear transformations, their matrix representations and applications;
- become familiar with the use of a computer package for symbolic and numeric calculation.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- 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; and
- computer skills: the ability to use mathematical computing packages.
Last updated: 11 April 2024
Eligibility and requirements
Prerequisites
A study score of at least 27 in VCE Specialist Mathematics 3/4, or equivalent
OR
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10005 | Calculus 1 |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
MAST10006 | Calculus 2 |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (On Campus - Parkville)
Semester 1 (On Campus - Parkville)
|
12.5 |
MAST10021 | Calculus 2: Advanced | Semester 2 (On Campus - Parkville) |
12.5 |
MAST10019: Calculus Extension Studies
Corequisites
None
Non-allowed subjects
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10008 | Accelerated Mathematics 1 | Semester 1 (On Campus - Parkville) |
12.5 |
MAST10022 | Linear Algebra: Advanced | Semester 1 (On Campus - Parkville) |
12.5 |
MAST10013 UMEP Maths for High Achieving Students
Bachelor of Science students are permitted to complete a maximum of three level-1 Mathematics and Statistics subjects. They are not permitted to complete all four of MAST10005, MAST10006 (or MAST10021), MAST10007 (or MAST10022) and MAST10010.
MAST10018: 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: 11 April 2024
Assessment
Semester 1
Description | Timing | Percentage |
---|---|---|
Eight to ten assignments (written or online) due at regular intervals amounting to a total of up to 25 pages (Up to one third of the assignment based assessments will be completed online)
| During the teaching period | 20% |
One computer laboratory test
| End of semester | 10% |
A written examination
| During the examination period | 70% |
Semester 2
Description | Timing | Percentage |
---|---|---|
Eight to ten assignments (written or online) due at regular intervals amounting to a total of up to 25 pages (Up to one third of the assignment based assessments will be completed online)
| During the teaching period | 20% |
One computer laboratory test
| End of semester | 10% |
A written examination
| During the examination period | 70% |
Summer Term
Description | Timing | Percentage |
---|---|---|
Five assignments, either written or online, due at weekly intervals amounting to a total of up to 25 pages (Up to two of the five assignment based assessments will be completed online)
| During the teaching period | 20% |
One computer laboratory test
| End of semester | 10% |
A written examination
| During the examination period | 70% |
Additional details
This Dual-Delivery subject has On Campus assessment components. Students approved to complete this subject during the Summer 2023 study period offshore will be contacted to confirm their assessment arrangements.
Last updated: 11 April 2024
Dates & times
- Summer Term - Dual-Delivery
Principal coordinator Peter Forrester Mode of delivery Dual-Delivery (Parkville) Contact hours Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week Total time commitment 170 hours Teaching period 3 January 2023 to 17 February 2023 Last self-enrol date 11 January 2023 Census date 20 January 2023 Last date to withdraw without fail 3 February 2023 Assessment period ends 25 February 2023 Summer Term contact information
- Semester 1 - On Campus
Principal coordinator Nora Ganter Mode of delivery On Campus (Parkville) Contact hours Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week 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 Semester 1 contact information
- Semester 2 - On Campus
Principal coordinator Christine Mangelsdorf Mode of delivery On Campus (Parkville) Contact hours Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week Total time commitment 170 hours Teaching period 24 July 2023 to 22 October 2023 Last self-enrol date 4 August 2023 Census date 31 August 2023 Last date to withdraw without fail 22 September 2023 Assessment period ends 17 November 2023 Semester 2 contact information
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: 11 April 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.
- Subject notes
This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.
Students with a score of 40 or more in VCE Specialist Mathematics 3/4 are strongly encouraged to enrol in either the advanced stream (MAST10022 Linear Algebra: Advanced and MAST10021 Calculus 2: Advanced) or the accelerated stream (MAST10008 Accelerated Mathematics 1 and MAST10009 Accelerated Mathematics 2) instead of the standard stream (MAST10007 Linear Algebra and MAST10006 Calculus 2).
Students with a study score of 29 in VCE Specialist Mathematics 3/4 or equivalent, are eligible to enrol in MAST10005 Calculus 1, MAST10006 Calculus 2 or MAST10007 Linear Algebra. Such students should seek course advice before completing their enrolment.
Students require access to a computer with the software package MATLAB installed. This package is currently available in every open-access campus laboratory.
Students will be expected to use the software package MATLAB but no programming knowledge is expected. - Related Handbook entries
This subject contributes to the following:
Type Name Course Bachelor of Biomedicine Course Bachelor of Environments Course Master of Finance Major Environmental Science Major Statistics / Stochastic Processes Informal specialisation Science Discipline subjects - new generation B-SCI Major Pure Mathematics Major Engineering Systems Informal specialisation Environments Discipline subjects Major Applied Mathematics Informal specialisation Bachelor of Design Elective Subjects Major Discrete Mathematics / Operations Research Major Spatial Systems Breadth Track Mathematics for Economics Breadth Track Mechanical Engineering Breadth Track Mathematics and Statistics Breadth Track Electrical Engineering - 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: 11 April 2024