6 points, SCA Band 2, 0.125 EFTSL
Undergraduate - Unit
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Semester 1 - Dr Daniel Horsley (Clayton)
Associate Professor Lan Boon Leong (Malaysia)
Semester 2 - Heiko Dietrich (Malaysia)
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.
At the completion of this unit, students should be able to:
- 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 and analyse simple first and second order recurrence relations;
- use trees and graphs to solve problems in computer science;
- apply counting principles in combinatorics;
- describe the principles of elementary probability theory, evaluate conditional probabilities and use Bayes' Theorem.
Semester 1: Examination (3 hours): 70%; In-semester assessment: 30%
Semester 2: Examination (3 hours): 60%; In-semester assessment: 40%
Minimum total expected workload equals 12 hours per week comprising:
- Contact hours for on-campus students:
- Three hours of lectures
- One 90 minute tutorial
- Additional requirements (all students):
- A minimum of 7.5 hours independent study per week for completing tutorial and project work, private study and revision.
See also Unit timetable information
This unit applies to the following area(s) of study
VCE Specialist Mathematics or Mathematical Methods units 3 and 4 with a study score of at least 25 or Further maths with a study score of at least 35.