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Accelerated Mathematics 2 (MAST10009)
Undergraduate level 1Points: 12.5Dual-Delivery (Parkville)
From 2023 most subjects will be taught on campus only with flexible options limited to a select number of postgraduate programs and individual subjects.
To learn more, visit COVID-19 course and subject delivery.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 2
Overview
| Availability | Semester 2 - Dual-Delivery |
|---|---|
| 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 rigorous discussion of limits of sequences and of real-valued functions, continuity and differentiability; Mean Value Theorem and applications; Taylor polynomials; Riemann integration, techniques of integration and applications, improper integrals; infinite series, with applications to power series representations of elementary functions and their generation by Taylor series and to the representation of periodic functions by Fourier series; first order differential equations, second order linear differential equations with constant coefficients and selected applications.
Intended learning outcomes
On completion of this subject, students should be able to:
- Explain the properties of sequences of real numbers;
- Identify the properties of a function of a real variable, such as limits, continuity and differentiability;
- Explain when proper and improper Riemann integrals exist and be able to use standard techniques to evaluate them;
- Determine the convergence and divergence of infinite series and to represent functions by Taylor series and Fourier series;
- Solve first and second order ordinary differential equations, and use these equations to model some simple physical systems;
- Describe 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: 20 May 2023
Eligibility and requirements
Prerequisites
A study score of at least 38 in VCE Specialist Mathematics 3/4 or equivalent
OR
| Code | Name | Teaching period | Credit Points |
|---|---|---|---|
| MAST10008 | Accelerated Mathematics 1 | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
OR
MAST10013 UMEP Mathematics for High Achieving Students
OR
Permission from the Director of the Mathematics and Statistics Learning Centre
Corequisites
None
Non-allowed subjects
| Code | Name | Teaching period | Credit Points |
|---|---|---|---|
| MAST10006 | Calculus 2 |
Semester 1 (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Summer Term (Dual-Delivery - Parkville)
|
12.5 |
| MAST20026 | Real Analysis |
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST10019 Calculus 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: 20 May 2023
Assessment
| Description | Timing | Percentage |
|---|---|---|
Two or three written assignments due at regular intervals amounting to a total of up to 25 pages
| Throughout the semester | 10% |
A written test
| Mid semester | 10% |
A written examination
| During the examination period | 80% |
Additional details
This Dual-Delivery subject has On Campus assessment components.
Last updated: 20 May 2023
Dates & times
- Semester 2
Coordinator Jan de Gier Mode of delivery Dual-Delivery (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 25 July 2022 to 23 October 2022 Last self-enrol date 5 August 2022 Census date 31 August 2022 Last date to withdraw without fail 23 September 2022 Assessment period ends 18 November 2022 Semester 2 contact information
Time commitment details
Estimated total time commitment of 170 hours
Additional delivery details
This Dual-Delivery subject has On Campus assessment components.
Last updated: 20 May 2023
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 Informal specialisation Science Discipline subjects - new generation B-SCI Major Discrete Mathematics / Operations Research 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: 20 May 2023