Subject details

This unit covers:

Module 1 – Introduction to Functions

  • Topic 1: Special algebraic structures
  • Topic 2: Introducing functions
  • Topic 3: Special functions
  • Topic 4: Exponential functions and logarithms

Module 2 – Coordinate Geometry and Trigonometry

  • Topic 1: The straight line
  • Topic 2: The circle and other conics
  • Topic 3: Applications of trigonometry
  • Topic 4: Periodic functions, their graphs and applications

Module 3 – Calculus and Its Applications

  • Topic 1: Rates of change and the derivative
  • Topic 2: Derivatives of trigonometrical and exponential functions
  • Topic 3: Optimisation problems
  • Topic 4: Graphs and mathematical models
  • Topic 5: The integral calculus and applications

Module 4 – Financial Mathematics and Statistics

  • Topic 1: Sequences and series
  • Topic 2: Financial mathematics
  • Topic 3: Probability in data analysis
  • Topic 4: Probability distributions
    • A week-by-week guide to the topics you will explore in this unit will be provided in your study materials.
  • Study resources

    • Instructional methods

      • Discussion forum/Discussion Board
      • Online Quizzes/Tests
      • Online assignment submission
      • Standard Media
      • Web links
      • Wikis
    • Online materials

      • Resources and Links
      • Audio-Video streaming
      • Online Assessment
      • Printable format materials
      • Printable format materials

You are recommended to have completed the following subjects(s) or have equivalent knowledge before starting this subject:


It is highly recommended that you first enrol in UNL31 Introductory Mathematics prior to attempting UNL32 if you have not participated in a year 10/11 mathematics unit within the last several years.

Special requirements

No special requirements

The subject is a preparatory mathematics subject designed to help you gain the necessary knowledge to enter into a tertiary study. This subject consists of 4 modules. The modules explore coordinate geometry of the straight line, the circle and other conics, the basic functions and their inverses, exponential functions, logarithmic and periodic functions. Differential and integral calculus is introduced with emphasis on graphical, numerical and analytical interpretations. The process of mathematical modelling is developed through applications involving optimisation, rate of change problems and growth phenomena. Data analysis and probability distributions are introduced.

This subject includes individual tutorial support with an experienced high school mathematics teacher. Tutorial support is via email, phone and an online classroom with discussion forums. There is also a Unilearn Student Support Officer available to help you throughout your study. This subject provides 4 core credits towards your QCE.

The subject has flexible enrolment dates to meet your needs. Start your study when you want and complete the subject any time within the 12 month enrolment window. This subject is equivalent to year 11/12 Mathematics (Mathematics B). This subject requires a minimum of 220 hours or 18 weeks to complete. The 18-week option is only available to you if you complete the subject in the online classroom. For international students, an additional $150 is applied to your subject for postage and handling of overseas materials. The cost of the textbook is not included in the subject price.

The final exam is not included in the subject price. The cost of the exam is $75 (International exams $150).  For more information please call the Student Advisor team on 13OPEN (13 6736) or visit

Note: Most students take 540 hours to complete the degree as the 220 minimum hours is the learning in the textbook only and does not take into account completing homework, reading time, tutorial help and progress tests. Please keep this in mind when nominating to complete in an accelerated timeframe.

  • Progress tests (10%)
  • Practice questions (0%)
  • Invigilation by provider (90%)

Textbook information is pending.