units

MAT1830

Faculty of Information Technology

This unit entry is for students who completed this unit in 2016 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

# MAT1830 - Discrete mathematics for computer science

## 6 points, SCA Band 2, 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Information Technology

Coordinator(s)

Dr Daniel Horsley (Clayton); Associate Professor Lan Boon Leong (Malaysia)

Offered

Clayton

• First semester 2016 (Day)

Malaysia

• First semester 2016 (Day)
• Second semester 2016 (Day)
• October intake 2016 (Day)

### Synopsis

This unit introduces fundamental discrete mathematics topics including combinatorics, sets, relations and functions; methods of logic and proof, especially proof by induction; probability theory, Baye's theorem; recursion; recurrence relations; trees and other graphs. It establishes the mathematical basis required for studies in Computer Science and Software Engineering.

### Outcomes

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.

### Assessment

Examination (3 hours): 70%; In-semester assessment: 30%

Minimum total expected workload equals 12 hours per week comprising:

(a.) Contact hours for on-campus students:

• Three hours of lectures
• One 90 minute tutorial

(b.) Additional requirements (all students):

• A minimum of 7.5 hours independent study per week for completing tutorial and project work, private study and revision.

### Prerequisites

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