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Accelerated Mathematics 2 (MAST10009)

Undergraduate level 1Points: 12.5On Campus (Parkville)

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Overview

Year of offer2018
Subject levelUndergraduate Level 1
Subject codeMAST10009
Campus
Parkville
Availability
Semester 2
FeesSubject EFTSL, Level, Discipline & Census Date

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.

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

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

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%).

Dates & times

  • Semester 2
    Principal coordinatorBarry Hughes
    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 period23 July 2018 to 21 October 2018
    Last self-enrol date 3 August 2018
    Census date31 August 2018
    Last date to withdraw without fail21 September 2018
    Assessment period ends16 November 2018

    Semester 2 contact information

Time commitment details

Estimated total time commitment of 170 hours

Further information

Last updated: 10 August 2019