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Accelerated Mathematics 1 (MAST10008)
Undergraduate level 1Points: 12.5Dual-Delivery (Parkville)
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About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Overview
Availability | Semester 1 - Dual-Delivery |
---|---|
Fees | Look up fees |
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.
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: 22 March 2024
Eligibility and requirements
Prerequisites
Permission from the Director of the Mathematics and Statistics Learning Centre
OR
A study score of at least 38 in VCE Specialist Mathematics 3/4 or equivalent
OR
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10009 | Accelerated Mathematics 2 | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
Corequisites
None
Non-allowed subjects
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10007 | Linear Algebra |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST10013 UMEP Mathematics for High Achieving Students
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: 22 March 2024
Assessment
Description | Timing | Percentage |
---|---|---|
Six equally weighted assignments, either written or online, due at regular intervals amounting to a total of up to 25 pages
| Throughout the semester | 15% |
A computer laboratory test
| End of semester | 5% |
A written examination
| During the examination period | 80% |
Last updated: 22 March 2024
Dates & times
- Semester 1
Principal coordinator Alexandru Ghitza Mode of delivery Dual-Delivery (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 28 February 2022 to 29 May 2022 Last self-enrol date 11 March 2022 Census date 31 March 2022 Last date to withdraw without fail 6 May 2022 Assessment period ends 24 June 2022
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 22 March 2024
Further information
- Texts
Prescribed texts
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 Informal specialisation Science Discipline subjects - new generation B-SCI Major Discrete Mathematics / Operations Research Major Applied Mathematics Major Pure Mathematics Major Statistics / Stochastic Processes Breadth Track Accelerated Mathematics - 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: 22 March 2024