Subject details

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.

  • Study resources

    • Instructional methods

      • Podcasting/Lecture capture

    • Online materials

      • Online Assessment

You must have successfully completed the following subject(s) before starting this subject:

MUR-MAS110-Fundamentals of Mathematics

Others

MAS110 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.

Special requirements

  • SoftwareDetails - MATLAB & Simulink Student Suite

In this subject, 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. Topics include: 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.

1. Problem Solving Task - A set of mathematical problems that need to be solved by hand or by computer (using MATLAB) 2. Examination - Final examination will test comprehension of all the subject content.

  • Problem Solving Task (30%)
  • Invigilated examination (70%)

Textbooks are subject to change within the academic year. Students are advised to purchase their books no earlier than one to two months before the start of a subject.

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