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Accelerated Mathematics 2 (MAST10009)
Undergraduate level 1Points: 12.5On Campus (Parkville)
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 2
Email: barrydh@unimelb.edu.au
Overview
Availability | Semester 2 |
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Fees | Look up fees |
This subject develops fundamental concepts and principles in mathematical analysis. Students should gain skills in the practical techniques of differential calculus, integral calculus and infinite series, and study selected applications of these techniques in mathematical modelling.
Topics covered include heuristic and rigorous discussion of limits of real-valued functions, continuity and differentiability; Mean Value Theorem and applications; Taylor polynomials; Riemann integration, techniques of integration and applications, improper integrals; sequences and infinite series; first order differential equations, second order linear differential equations with constant coefficients and selected applications.
Intended learning outcomes
Students completing this subject should:
- understand the significance and applications of properties of functions such as limits, continuity and differentiability;
- be able to evaluate proper and improper Riemann integrals;
- develop the ability to determine the convergence and divergence of infinite series;
- be able to solve analytically first and second order ordinary differential equations, and use these equations to model some simple physical systems;
- understand simple rigorous proofs of fundamental results in real analysis.
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; and
- time management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 11 April 2024
Eligibility and requirements
Prerequisites
A study score of at least 38 in VCE Specialist Mathematics 3/4 or equivalent; or one of
- MAST10008 Accelerated Mathematics 1
- MAST10013 UMEP Mathematics for High Achieving Students
or permission from the Director of the Mathematics and Statistics Learning Centre.
Corequisites
None
Non-allowed subjects
Students may only gain credit for one of:
- MAST10006 Calculus 2
- MAST10009 Accelerated Mathematics 2
- MAST10019 Calculus Extension Studies
Students may only gain credit for one of:
- MAST10009 Accelerated Mathematics 2
- MAST20026 Real Analysis
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
Additional details
Two or three written assignments due at regular intervals during semester amounting to a total of up to 25 pages (10%), a 45-minute written test held mid-semester (10%), and a 3-hour written examination in the examination period (80%).
Last updated: 11 April 2024
Dates & times
- Semester 2
Principal coordinator Barry Hughes Mode of delivery On Campus (Parkville) Contact hours 4 x one hour lectures per week, 1 x one hour practice class per week. Total time commitment 170 hours Teaching period 23 July 2018 to 21 October 2018 Last self-enrol date 3 August 2018 Census date 31 August 2018 Last date to withdraw without fail 21 September 2018 Assessment period ends 16 November 2018 Semester 2 contact information
Email: barrydh@unimelb.edu.au
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 11 April 2024
Further information
- Texts
Prescribed texts
None.
- 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 MAST10008 Accelerated Mathematics 1is equivalent in content to the three subjects
- MAST10006 Calculus 2
- MAST10007 Linear Algebra
- MAST20026 Real Analysis
- Related Handbook entries
This subject contributes to the following:
Type Name Course Bachelor of Biomedicine Major Applied Mathematics 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 Breadth Track Accelerated Mathematics - Breadth options
This subject is available as breadth in the following courses:
- 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