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Introduction to Mathematics (MAST10012)

Undergraduate level 1Points: 12.5Online and On Campus (Parkville)

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Year of offer2019
Subject levelUndergraduate Level 1
Subject codeMAST10012
Summer Term - Online
Semester 1 - On Campus
FeesSubject EFTSL, Level, Discipline & Census Date

Students will strengthen and develop algebraic and conceptual skills, building a firm mathematical base for MAST10005 Calculus 1.
Fundamental concepts about number systems and set theory will be followed by introductory counting principles and techniques. These will be applied to the laws of probability, leading to the study of discrete and continuous random variables. Basic ideas about functions and their inverses will be introduced using examples such as the logarithmic, exponential and trigonometric functions. Differential and integral calculus will be studied with applications to graph sketching and optimization problems. Students will also learn integration techniques, with applications to areas between curves.

Intended learning outcomes

Students completing this subject should

  • Understand fundamental concepts of number systems and counting techniques and be able to use logic and set notation;
  • Understand the concept of a mathematical function, domain, range and inverse function;
  • Be able to apply transformations and the ideas of sum, difference, product and composite functions to graphing polynomial, exponential, logarithmic and circular functions;
  • Understand the derivative as a limit and use the product, quotient and chain rules of differentiation with polynomial, circular, exponential and logarithmic functions and apply these techniques to graph sketching and optimisation problems;
  • Understand the process of integration as anti-differentiation and be able to find definite and indefinite integrals of polynomials, exponential and circular functions with application to calculating the area of a region under a curve and between curves;
  • Understand the fundamental concepts of probability and be able to calculate probabilities for discrete and continuous random variables, including binomial and normal probabilities.

Generic skills

In addition to learning specific mathematical skills, students will have the opportunity to develop generic skills that will assist them in any 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.

Eligibility and requirements


Successful completion of VCE Mathematical Methods 1/2 or equivalent - coordinator approval is required


Code Name Teaching period Credit Points
MAST10017 Fundamentals of Mathematics
Semester 2



Non-allowed subjects

Students with a study score of 25 or more in VCE Mathematical Methods 3/4 or equivalent will not be permitted to enrol in this subject for credit.

This subject is not available to students enrolled in the Bachelor of Science.

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


Additional details

For Summer term (online): The course is split into two modules (Functions & Calculus and Probability) which need to be taken concurrently. Functions & Calculus will run for the full 6 weeks, Probability for the first 4 weeks.

6 assignments (one per week) with 4 from the Functions & Calculus module and 2 from the Probability module (24%).

3-hour written examination conducted during the examination period (76%).

For Semester 1:

Eight to ten assignments (written or online) due at regular intervals during semester amounting to a total of up to 50 pages (20%), and a 3-hour written examination in the examination period (80%). Up to one third of the assignment based assessment will be completed online.

Students are required to attend at least 16 out of 22 practice classes to be eligible for assessment.

Dates & times

  • Summer Term - Online
    Principal coordinatorJohn Banks
    Mode of deliveryOnline
    Contact hoursStudents are encouraged to participate in weekly online consultations (available by appointment).
    Total time commitment170 hours
    Teaching period 8 January 2019 to 22 February 2019
    Last self-enrol date17 January 2019
    Census date18 January 2019
    Last date to withdraw without fail15 February 2019
    Assessment period ends 2 March 2019
  • Semester 1 - On Campus
    Principal coordinatorThomas Wong
    Mode of deliveryOn Campus — Parkville
    Contact hours3 x one hour lectures per week, 2 x one hour practice classes per week.
    Total time commitment170 hours
    Teaching period 4 March 2019 to 2 June 2019
    Last self-enrol date15 March 2019
    Census date31 March 2019
    Last date to withdraw without fail10 May 2019
    Assessment period ends28 June 2019

Time commitment details

Estimated total time commitment of 170 hours

Further information

  • Texts

    Prescribed texts

    Summer Term: All materials are available online through the LMS.

    Semester 1: Lecture notes for MAST10012, Department of Mathematics and Statistics.

    Recommended texts and other resources

    M Evans, K Lipson, P Jones and S Avery, Essential Mathematical Methods 3 & 4 CAS, Cambridge University Press, 2010

  • Subject notes

    This subject is not available for science credit or commerce credit in any course.

    This subject is equivalent for pre-requisite purposes to VCE Mathematical Methods 3/4.
    Students with a score of 25 or more in VCE Mathematical Methods 3/4 will not be permitted to enrol in this subject.

  • 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: 10 August 2019