|Year of offer||2018|
|Subject level||Undergraduate Level 1|
|Fees||Subject EFTSL, Level, Discipline & Census Date|
This subject develops the concepts of vectors, matrices and the methods of linear algebra and introduces students to differentiation and integration of functions of two variables. Students will be exposed to methods 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. Underlying concepts developed in lectures will be reinforced in computer laboratory classes.
Topics covered include systems of linear equations, matrices and determinants, vector geometry, lines and planes, vector spaces, subspaces, linear independence, bases, dimension, inner products, linear transformations, eigenvalues and eigenvectors, complex eigenvalues and exponentials as well as techniques of proof, partial derivatives, chain rule for partial derivatives, directional derivatives, tangent planes, extrema for functions of several variables and double integrals.
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 extension of vector concepts to abstract vector spaces of arbitrary finite dimension;
- understand linear transformations, their matrix representations and applications;
- be able to differentiate and integrate functions of two variables;
- be able to do a simple mathematical proof.
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 38 in VCE Specialist Mathematics 3/4 or equivalent; or permission from the Director of the Mathematics and Statistics Learning Centre; or
- MAST10009 Accelerated Mathematics 2
Students may only gain credit for one of
- MAST10007 Linear Algebra
- MAST10008 Accelerated Mathematics 1
- MAST10013 UMEP Mathematics for High Achieving Students
- MAST10018 Linear Algebra Extension Studies
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
Three written assignments due at regular intervals during semester amounting to a total of up to 25 pages (9%), three online assessment tasks due at regular intervals during semester (6%), a 45-minute computer laboratory test held at the end of semester (5%), and a 3-hour written examination in the examination period (80%).
Dates & times
- Semester 1
Principal coordinator Alexandru Ghitza Mode of delivery On Campus — Parkville Contact hours 4 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 26 February 2018 to 27 May 2018 Last self-enrol date 9 March 2018 Census date 31 March 2018 Last date to withdraw without fail 4 May 2018 Assessment period ends 22 June 2018
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.
This subject is suitable for students with a high level of achievement in VCE Specialist Mathematics 3/4 or equivalent.
This subject, together with MAST10009 Accelerated Mathematics 2is equivalent in content to the three subjects
- MAST10006 Calculus 2
- MAST10007 Linear Algebra
- MAST20026 Real Analysis
Students require access to a computer with the software package MATLAB installed, currently in every open-access campus laboratory.
Students are 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 Major Discrete Mathematics / Operations Research Informal specialisation Science-credited subjects - new generation B-SCI and B-ENG. Major Pure Mathematics Informal specialisation Selective subjects for B-BMED Major Statistics / Stochastic Processes Major Applied Mathematics Breadth track Accelerated Mathematics
- 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.