This unit introduces fundamental discrete mathematics topics including combinatorics, sets, relations and functions; methods of logic and proof, especially proof by induction; probability theory, Bayes' theorem; recursion; recurrence relations; trees and other graphs. It establishes the mathematical basis required for studies in Computer Science and Software Engineering.
Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of scheduled online and face to face learning activities and independent study. Independent study may include associated reading and preparation for scheduled activities. Applied sessions start from Week 2 of the semester.
Use and analyse simple first and second order recurrence relations;
Apply counting principles in combinatorics;
Describe the principles of elementary probability theory, evaluate conditional probabilities and use Bayes' Theorem.
Identify basic methods of proof, particularly induction, and apply them to solve problems in mathematics and computer science;
Manipulate sets, relations, functions and their associated concepts, and apply these to solve problems in mathematics and computer science;
Use trees and graphs to solve problems in computer science;
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