MATH6005
Discrete Mathematical Models
- Credit
- 6 units
- Catalogue year
- 2027
- Recorded offerings
- First Semester
Course information
Introduction to discrete mathematics and its use in mathematical modelling. Emphasis will be placed on developing facility, technique and use in applications. Modelling of processes and phenomena which occur in the physical, environmental and life sciences, especially computer science, will be used as a vehicle throughout. Topics to be covered include: logic and set theory, combinatorics and counting, probability, induction and recurrence relations, graph theory and networks, matrix arithmetic and Markov chains.Note: This course is co-taught with undergraduate students but assessed separately.
Requisite and Incompatibility
CECS students must be enrolled in a Graduate Diploma of Computing or a Master of Computing to enrol in this course. Incompatible: MATH1005
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
Recall, invent or interpret examples of motivation for mathematical constructs used in discrete mathematics as models of processes in the world.
Recognise, define, explain and use terminology and notation from discrete mathematics.
Identify the logical structure of a statement, and then identify the logical structure of an argument that may be used to prove or disprove the statement.
Competently perform mathematical calculations in discrete mathematics using methods presented in the course.
Write simple proofs/construct explicit counterexamples for statements relating to discrete mathematics topics covered in the course.
Use their deep knowledge and understanding of the material presented in the course to formulate responses to complex concrete and abstract problems.
Communicate their understanding and skills in discrete mathematics with colleagues and non-experts and apply their knowledge in an occupational situation.
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