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.
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Subjects may require attendance
- 31 Aug 2020
This research-based university in Perth has a strong interdisciplinary focus and a reputation for outstanding teaching and ground-breaking research. With more than 22,000 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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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:
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.
- SoftwareDetails - 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 2-3 hours to complete online. Find out more: http://goto.murdoch.edu.au/MurdochAcademicPassport.
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%)
Introduction to MATLAB, 3rd ed.