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Undergraduate | MUR-MAS162-2023

Discrete Mathematics and Logic

Delve into the arm of maths computer science depends on.  Learn to use recursive definitions, write MATLAB programs, perform base conversions, explain aspects of computer arithmetic, solve using Boolean algebra and more.

Study method

100% online


100% online

Entry requirements

Prior study needed


13 weeks

Start dates

  • 28 Aug 2023

Price from


Upfront cost


HECS-HELP and FEE-HELP available

About this subject

What you'll learn

On successful completion of the subject, you should be able to:

  1. formulate and use recursive definitions in various contexts and applications
  2. write MATLAB programs to solve various mathematical and applied problems
  3. perform base conversions and explain aspects of computer arithmetic
  4. use counting techniques and understand the basics of discrete probability
  5. use matrix algebra and derive linear transformations of the plane
  6. apply propositional logic to analyse the validity of arguments, express statements in predicate logic and use proof by mathematical induction
  7. solve basic problems in Boolean algebra and represent a Boolean function as a logic network
  8. appreciate the important role that computing has in mathematics and the essential importance of discrete mathematics for the foundations of computer science
  9. present coherent written solutions to various problems related to the material in the subject.
    • Recursively defined sequences and their applications.
    • Plotting in two and three dimensions.
    • Graphical and iterative solutions of equations.
    • Minima and maxima of functions.
    • Base conversion and computer arithmetic.
    • Counting and discrete probability theory.
    • Matrix theory and its implementation in MATLAB.
    • Logic and Boolean algebra.
  • This units covers fundamental topics in discrete mathematics, computer arithmetic and logic, including: recurrence relations, solving equations graphically and iteratively, computer arithmetic, basics of counting and discrete probability, matrices and linear transformations of the plane, propositional and predicate logic, mathematical induction, Boolean algebra and logic networks. Students will learn to use the prominent mathematical computer package MATLAB to perform basic mathematical procedures and to solve problems in the general area of discrete mathematics.

    Please Note: All students studying at Murdoch University will need to complete the compulsory unit, Murdoch Academic Passport (MAP100), which only takes 2-3 hours to complete online. Find out more:

  • Your ability to solve relevant mathematical problems will be assessed at regular intervals during the semester. These assessments are designed to allow you to demonstrate your ability in each of the content areas of the unit and to give you regular feedback on your progress, helping you to identify your areas of strength or weakness during the semester. Assignment solutions and results will be posted progressively on the Learning Management System.

    • Problem Solving Task (30%)
    • Open book timed online exam (70%)
  • For textbook details check your university's handbook, website or learning management system (LMS).

  • This research-based university in Perth has a strong interdisciplinary focus and a reputation for outstanding teaching and ground-breaking research. With more than 25,000 students and 2,400 staff from over 90 countries, and campuses in Dubai and Singapore, Murdoch embraces free thinking, shared ideas and knowledge to make a difference, and Open Universities Australia is certainly part of that.

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Entry requirements

Prior study

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


MAS164 Fundamentals of Mathematics OR a final scaled score of 55% or more in ATAR Mathematics Applications or WACE Mathematics 2C/2D OR a final scaled score of 50% or more in ATAR Mathematics Methods or WACE Mathematics 3A/3B (or higher) OR equivalent.

Additional requirements

  • Software requirements - MATLAB & Simulink Student Suite (

What to study next?

Once you’ve completed this subject it can be credited towards one of the following degrees

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