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 economics and the physical, environmental and life sciences will be used as a vehicle throughout. Topics to be covered include: combinatorics and counting, induction and recurrence relations, graph theory and networks, matrix arithmetic and Markov chains, logic and finite set theory.

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Recall, invent or interpret examples of motivation for mathematical constructs introduced in the course and used in discrete mathematics as models of processes in the world
2. Be sufficiently familiar with terminology from discrete mathematics used in the course as to be able to interpret, use and attempt to answer questions involving these words
3. Translate representations of mathematical information between the different formats presented in the course
4. Competently perform mathematical calculations in discrete mathematics using methods presented in the course
5. To an extent determined by each student's needs, interests and input, develop maturity of mathematical reasoning as well as general academic skills such as information literacy, tenacity, communication and collaboration. (This learning outcome may not necessarily be achieved by all students who pass the course, but all students will have the opportunity to develop these attributes by participating in course activities such as lectures, tutorials, consultation, assessment and use of the course website.)

Assessment will be based on:

• Mid-semester exam, testing primarily knowledge of course content (30%; LO 1-5)
• Tutorials/Assignments: one tutorial for each of 10 weeks and associated written work, providing opportunities for students to practice skills presented in the course (15% in total; LO 1-5)
• Final examination, testing primarily knowledge of course content (55%; LO 1-5)

48 lectures and ten 2-hour laboratory/tutorial sessions

ACT Mathematical Methods or NSW HSC Mathematics or equivalent. (MATH1003 is NOT a prerequisite for this course.)