Enrolments for 2020 have closed.
Foundations of Discrete Mathematics
Undergraduate | MUR-MAS162 | 2020
Course information for 2020 intake
View information for 2021 course intakeDelve 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
- Assessments
- Subject may require attendance
- Entry requirements
- Prior study needed
- Duration
- 13 weeks
HECS-HELP and FEE-HELP available
Foundations of Discrete Mathematics
About this subject
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.
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%)
For textbook details check your university's handbook, website or learning management system (LMS).
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Entry requirements
Prior study
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)
Study load
- 0.125 EFTSL
- This is in the range of 10 to 12 hours of study each week.
Equivalent full time study load (EFTSL) is one way to calculate your study load. One (1.0) EFTSL is equivalent to a full-time study load for one year.
Find out more information on Commonwealth Loans to understand what this means to your eligibility for financial support.
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