|Year of offer||2019|
|Subject level||Undergraduate Level 1|
|Fees||Subject EFTSL, Level, Discipline & Census Date|
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.
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.
Eligibility and requirements
A study score of at least 27 in VCE Specialist Mathematics 3/4, or equivalent, or one of:
|Code||Name||Teaching period||Credit Points|
Students may only gain credit for one of
|Code||Name||Teaching period||Credit Points|
|MAST10008||Accelerated Mathematics 1||
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, MAST10007 and MAST10010
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
Summer semester: Five assignments, either written or online, due at weekly intervals during semester amounting to a total of up to 25 pages (10%), one 45-minute computer laboratory test held at the end of semester (10%), and a 3-hour written examination in the examination period (80%). Up to two of the five assignment based assessments will be completed online.
Semester 1 and 2: Eight to ten assignments (written or online) due at regular intervals during semester amounting to a total of up to 25 pages (10%), one 45-minute computer laboratory test held at the end of semester (10%), and a 3-hour written examination in the examination period (80%). Up to one third of the assignment based assessment will be completed online.
Dates & times
- Summer Term
Principal coordinator Binzhou Xia 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 2 January 2019 to 22 February 2019 Last self-enrol date 11 January 2019 Census date 18 January 2019 Last date to withdraw without fail 8 February 2019 Assessment period ends 2 March 2019
Summer Term contact information
- Semester 1
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 4 March 2019 to 2 June 2019 Last self-enrol date 15 March 2019 Census date 31 March 2019 Last date to withdraw without fail 10 May 2019 Assessment period ends 28 June 2019
Semester 1 contact information
- Semester 2
Principal coordinator Craig Hodgson 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 29 July 2019 to 27 October 2019 Last self-enrol date 9 August 2019 Census date 31 August 2019 Last date to withdraw without fail 27 September 2019 Assessment period ends 22 November 2019
Semester 2 contact information
Time commitment details
Estimated total time commitment of 170 hours
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 both
- MAST10008 Accelerated Mathematics 1
- MAST10009 Accelerated Mathematics 2
instead of both
- MAST10006 Calculus 2
- MAST10007 Linear Algebra
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 Master of Finance Course Bachelor of Environments Course Graduate Diploma in Finance Course Bachelor of Biomedicine Major Discrete Mathematics / Operations Research Major Spatial Systems Major Statistics / Stochastic Processes Informal specialisation Science-credited subjects - new generation B-SCI and B-ENG. Major Environmental Science major Major Applied Mathematics Informal specialisation Selective subjects for B-BMED Informal specialisation Bachelor of Design Elective Subjects Informal specialisation Environments Discipline subjects Major Engineering Systems Major Pure Mathematics Breadth track Mathematics for Economics Breadth track Mathematics and Statistics Breadth track Mechanical Engineering Breadth track Electrical Engineering
- Breadth options
- 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.