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Mathematical Sciences Institute · ANU College of Systems and Society
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, mathematical reasoning, combinatorics and counting, probability, mathematical induction and recurrence relations, graph theory and networks, matrix arithmetic and Markov chains.
Workshop quizzes
Learning outcomes 1, 2, 3, 4, 5
Workshop contributions
Learning outcomes 1, 2, 3, 4, 5
Written assignments (two)
Learning outcomes 1, 2, 3, 4, 5
Final ExaminationRegardless of performance on other assessment items, a minimum scaled score of 40% on the final exam is required to pass the course. (This is known as a 'course hurdle'.)
Learning outcomes 1, 2, 3, 4, 5
The expected workload will consist of approximately 130 hours throughout the semester including: - Face-to face component which may consist of approximately 33 hours of lecture activities (usually three one-hour lectures each week), and 15 hours of workshop activities (one 90 minute workshop per week in ten weeks of the semester). - Approximately 82 hours of self-directed study which will include preparation for lectures and workshops, completion of assignments items, and study of the course materials. Other Information Secondary School Prerequisite: ACT Mathematical Methods or NSW HSC Mathematics Advanced or equivalent. (MATH1003 is NOT a prerequisite for this course.) Students who are concerned about their level of preparation for MATH1005 should contact the MSI first-year coordinator (adam.piggott@anu.edu.au) for advice.
There are no specific reading books required. Preliminary Reading PDF copies of all lecture slides will be made available on the course website. Some students may find it helpful to refer to a text book for an alternative exposition of certain topics and extra practice problems. The following text is recommended for this purpose: Susanna Epp: Discrete Mathematics with Applications; 3rd or 4th or 5th ed. Cengage. This text is available through the ANU library. References to this text will be provided for most course topics. The text does not cover every single topic in the course, and covers a number of topics not required for the course, but is nonetheless a good match to course in both level and content.