Undergraduate MURMAS1622023
Foundations of Discrete Mathematics
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.
$1,040 $1,290
Your upfront cost: $0
Duration
13 weeks
Study method
100% Online
Available loans
 HECSHELP
 FEEHELP
Assessments
100% online
Prior study
Required
Start dates
 28 Aug 2023
This researchbased university in Perth has a strong interdisciplinary focus and a reputation for outstanding teaching and groundbreaking research. With more than 23,000 students and 2,000 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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QS Ranking 2022
27
Times Higher Education Ranking 2022
30
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Subject details
On successful completion of the subject, you should be able to:
 formulate and use recursive definitions in various contexts and applications
 write MATLAB programs to solve various mathematical and applied problems
 perform base conversions and explain aspects of computer arithmetic
 use counting techniques and understand the basics of discrete probability
 use matrix algebra and derive linear transformations of the plane
 apply propositional logic to analyse the validity of arguments, express statements in predicate logic and use proof by mathematical induction
 solve basic problems in Boolean algebra and represent a Boolean function as a logic network
 appreciate the important role that computing has in mathematics and the essential importance of discrete mathematics for the foundations of computer science
 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.
You must have successfully completed the following subject(s) before starting this subject:
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.
Additional requirements
 Software requirements  MATLAB & Simulink Student Suite (https://au.mathworks.com/store/link/products/student/SV?s_tid=ac_buy_sv_button)
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.
Please Note: All students studying at Murdoch University will need to complete the compulsory unit, Murdoch Academic Passport (MAP100), which only takes 23 hours to complete online. Find out more: http://goto.murdoch.edu.au/MurdochAcademicPassport.
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%)
Current study term: 27 Aug 23 to 26 Nov 23
Check the learning management system (LMS) of your university for textbook details.
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