Useful links
Unit of study_
MATH2069: Discrete Mathematics and Graph Theory
2025 unit information
This unit introduces students to several related areas of discrete mathematics, which serve their interests for further study in pure and applied mathematics, computer science and engineering. Topics to be covered in the first part of the unit include recursion and induction, generating functions and recurrences, combinatorics. Topics covered in the second part of the unit include Eulerian and Hamiltonian graphs, the theory of trees (used in the study of data structures), planar graphs, the study of chromatic polynomials (important in scheduling problems).
Unit details and rules
Managing faculty or University school:
Science
| Study level | Undergraduate |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
|
Prerequisites:
?
|
6 credit points of MATH1XXX except (MATH1XX5 or MATH1050 or MATH1111) |
|---|---|
|
Corequisites:
?
|
None |
| Prohibitions:
?
|
MATH2011 or MATH2009 or MATH2969 |
| Assumed knowledge:
?
|
None |
At the completion of this unit, you should be able to:
- LO1. identify and use combinatorial objects involved in counting problems to solve them
- LO2. solve linear recurrence relations by using generating functions and characteristic equations
- LO3. identify Eulerian and Hamiltonian graphs
- LO4. apply special algorithms to find minimal walks in weighted graphs
- LO5. apply special algorithms to find spanning trees in graphs
- LO6. find chromatic numbers and chromatic polynomials of graphs.
Unit availability
This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.
The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.
| Session | MoA ? | Location | Outline ? |
|---|---|---|---|
|
Semester 1 2025
|
Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
|
Find your current year census dates
Modes of attendance (MoA)
This refers to the Mode of attendance (MoA) for the unit as it appears when you’re selecting your units in Sydney Student. Find more information about modes of attendance on our website.
