Accelerated Mathematics 2 (MAST10009)

Undergraduate level 1Points: 12.5On Campus (Parkville)

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Overview

Availability
Semester 2
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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: 14 March 2025

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 No longer available

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 No longer available
MAST20026 Real Analysis No longer available

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: 14 March 2025

Assessment

DescriptionTimingPercentage

Two or three written assignments due at regular intervals amounting to a total of up to 25 pages

  • 25 pages
Throughout the semester10%

A written test

  • 45 minutes
Mid semester10%

A written examination

  • 3 hours
During the examination period80%

Additional details

This Dual-Delivery subject has On Campus assessment components.

Last updated: 14 March 2025

Dates & times

  • Semester 2
    CoordinatorJan de Gier
    Mode of deliveryOn Campus (Parkville)
    Contact hours4 x one hour lectures per week, 1 x one hour practice class per week.
    Total time commitment170 hours
    Teaching period22 July 2024 to 20 October 2024
    Last self-enrol date 2 August 2024
    Census date 2 September 2024
    Last date to withdraw without fail20 September 2024
    Assessment period ends15 November 2024

    Semester 2 contact information

    jdgier@unimelb.edu.au

Time commitment details

Estimated total time commitment of 170 hours

What do these dates mean

Visit this webpage to find out about these key dates, including how they impact on:

  • Your tuition fees, academic transcript and statements.
  • And for Commonwealth Supported students, your:
       -  Student Learning Entitlement. This applies to all students enrolled in a Commonwealth Supported Place (CSP).
     

    Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement.

Additional delivery details

This Dual-Delivery subject has On Campus assessment components.

Last updated: 14 March 2025

Further information

Last updated: 14 March 2025