MAT1830 - Discrete mathematics for computer science - 2019

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.


Information Technology

Chief examiner(s)

Professor Ian Wanless


Semester 1 - Dr Daniel Horsley
Semester 1 - Mr Tham Weng Kee
Semester 2 - Dr Heiko Dietrich
October intake - Dr Mikhail Isaev

Unit guides



  • First semester 2019 (On-campus)


  • First semester 2019 (On-campus)
  • Second semester 2019 (On-campus)
  • October intake 2019 (On-campus)


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.


MAT1077, MTH1112


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:

  1. identify basic methods of proof, particularly induction, and apply them to solve problems in mathematics and computer science;
  2. manipulate sets, relations, functions and their associated concepts, and apply these to solve problems in mathematics and computer science;
  3. use and analyse simple first and second order recurrence relations;
  4. use trees and graphs to solve problems in computer science;
  5. apply counting principles in combinatorics;
  6. describe the principles of elementary probability theory, evaluate conditional probabilities and use Bayes' Theorem.


NOTE: From 1 July 2019, the duration of all exams is changing to combine reading and writing time. The new exam duration for this unit is 3 hours and 10 minutes.

Examination (3 hours): 60%; In-semester assessment: 40%

Workload requirements

Minimum total expected workload equals 12 hours per week comprising:

  1. Contact hours for on-campus students:
    • Three hours of lectures
    • One 90 minute tutorial
  2. 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