Calculus and Probability Online

Course type Study level Entry requirements
Non-Accredited Single Subject See below

Calculus and Probability Online (CalcProbOnline) is designed to substitute for the Victorian Certificate of Education (VCE) Mathematical Methods 3/4 (MM3/4) prerequisite for entry to the Bachelors of Science, Commerce and Biomedicine and the Bachelor of Agriculture at the University of Melbourne. It also substitutes for individual MM3/4 prerequisites within particular subjects in those degree programs.

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Course overview

CalcProbOnline comprises two modules - a Calculus module and a Probability module. Students may enrol in one or both of the modules, depending on their prior study. Note that CalcProbOnline does not count for credit towards any degree program offered by The University of Melbourne.

The Calculus module covers fundamental concepts about functions and their inverses including linear, quadratic, cubic, logarithmic, exponential and trigonometric functions and their graphs; differentiation (including product, quotient and chain rules) and its applications (stationary points, tangents, normals, optimisation, related rates); integration (including definite and indefinite integrals and their properties) and its applications (areas under and between curves); limits and continuity; binomial expansion; polynomial division, and transformation of graphs.

The Probability module covers sets and Venn diagrams; factorials and counting methods; conditional probability and tree diagrams; discrete and continuous random variables (including Binomial and Normal distributions); cumulative distribution functions and simple discrete Markov Chains.

NB: This course does NOT use calculators either during the course or in the Exam. There are NO multiple choice questions in the course or Exam.

Course fees

Information on subject fees:

Full subject (both modules)$930
One module only$530
  • Subject fees are not covered by Australian HECS - the full fee is payable on registration;
  • Withdrawals prior to course commencement receive a refund of fees less 10%;
  • Withdrawals before the end of week 2 receive a refund of fees less 20%;
  • Students who are unable to attend the examination at the University of Melbourne will be required to make arrangements to sit the examination at an appropriate venue at their own cost. See guidelines.

Entry requirements

This wholly online course is open to anyone, worldwide, and has no formal prerequisites. However, it assumes knowledge equivalent to the Victorian Certificate of Education (VCE) subject Mathematical Methods 1/2 (MM1/2). You are strongly recommended to have completed that subject, or a subject equivalent to it, before attempting CalcProbOnline.

MM1/2 covers the following topics:

  • Algebra (factorisation, expansion, solving equations, simplification, simultaneous equations, equation of a straight line);
  • Functions and Graphs (domain and range; graphs of parabolas, general cubics and trigonometric functions; trigonometric exact values, unit circle & symmetry; transformation of graphs; logarithmic & exponential rules;
  • Probability (simple and compound events; Venn diagrams; conditional probability and tree diagrams);
  • Calculus (derivatives and anti-derivatives of simple algebraic functions and simple related applications).

You can test your MM1/2 knowledge by completing this test. You can see the answers, but try and do the test without looking at these first. A more comprehensive list of the content of MM1/2 is here: VCE Mathematical Methods 1/2
It is the responsibility of each student to decide if their knowledge of the MM1/2 content is adequate to undertake CalcProbOnline.


Summer Intensive - January to February (6 week intensive)
Autumn (Semester 1) - March to May (9 week course)
Spring (Semester 2) - August to October (9 week course)

Delivery mode

This course is fully online. Course content is provided through the Learning Management System (LMS). Online consultations require Skype or Zoom, so access to a computer with internet access and webcam (video and audio) is essential.

Choice of modules

Students must know the content of both the Calculus and Probability Modules to meet the MM3/4 prerequisite, but it is possible to enrol in just a single Module if you have appropriate prior study covering the other. 

For students who are hoping to study at the University of Melbourne, if you believe you have already studied the material in either Module as described above, then please email attaching copies of the relevant prior study and results. You will be advised about your appropriate choice of Modules. Students completing CalcProbOnline for entry at other Institutions should seek advice from them.

Course dates

This course runs three times a year (see above).

The dates for the next running of the course are as follows:

  • Online registration opens Monday 22 July 2019 and closes promptly at 5 pm Monday 19 August 2019 (Australian Eastern Time)
  • 9 course teaching weeks from Monday 19 August 2019 to Friday 25 October 2019
  • Non teaching period falls from 30 September 2019 to 4 October 2019
  • SWOT Vac week 28 October 2019 to 1 November 2019
  • An examination in the week beginning Monday 4 November 2019
  • Final results release date is Monday 11 November 2019.

For generic timetables for Summer, Autumn and Spring courses, click here.

Course process

Just before the course starts you will receive a Student Course Booklet and be given access to the University of Melbourne Learning Management System (LMS) course site.

Each week of the course (6 in Summer and 9 in Autumn/Spring), course material will be released at the start of the week. Typically students will need to:

  • Watch lecture videos and take appropriate notes (depending on your experience with the topic)
  • Complete practice sheet questions. The practice sheets given are the absolute MINIMUM you would need to do for each topic
  • Check your answers and watch the corresponding solution video if necessary
  • Do extra follow up questions from the additional material, located in Extra Resources on LMS, if you need extra practice. Your prior experience will determine how much you need to do to learn each technique
  • Initiate online consultations with the Course Coordinator as necessary.

We estimate the subject will require approximately 8 to 12 hours time commitment per week, including watching all the videos and doing problems. However, this will depend on the student and is only an estimate. 

Assignments will need to be completed by hand and submitted via the Turnitin system on the LMS. You will need to either save your work as a single pdf or scan it as a pdf in order to submit it. There are strict deadlines for the submission of assignments for them to count towards your assessment. Assessment of the assignments will count for 24% of your final mark. An examination for each module will be held in the examination week and will constitute 76% of your final mark. 

This subject is not a technology-based subject, so no calculator is required, nor will it be permitted to use a calculator in the examination. The examination is a handwritten examination, which must be properly supervised either at the University of Melbourne (Parkville) or at a supervised location that you must arrange yourself and have approved by the Subject Coordinator (see guidelines).

Students will be issued with an original Certificate certifying completion of the Course with the marks obtained in the relevant Modules. Students must obtain a mark of at least 50% for a Module for it to count towards the MM3/4 prerequisite at the University of Melbourne.

Find out more

Phone: +61 3 8344 0010

This course is presented in partnership with the Faculty of Science and School of Mathematics and Statistics.