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Mathematical Sciences Institute · ANU College of Systems and Society
This course focuses on the language of mathematical arguments. Rather than attacking advanced topics, we will use simple mathematics to develop an understanding of how results are established. We begin with clearly stated and plausible assumptions or axioms and then develop a more and more complex theory from them. The course, and the lecturer, will have succeeded if you finish the course able to construct valid arguments of your own and to criticise those that are presented to you. Note: This course is co-taught with undergraduate students but assessed separately.
Regular written graduate-level problem setsRegardless of performance on other assessment items, a minimum scaled score of 35% on the graduate-level problem sets is required to pass the course. (This is known as a 'course hurdle'.)
Learning outcomes 1, 2, 3, 4
Final Exam
Learning outcomes 1, 2, 3
Workshop quizzes
Learning outcomes 1, 2, 3
The expected workload will consist of approximately 130 hours throughout the semester as follows: • Face-to-face component which will consist of 3x1 hours lectures per week (approximately 36 hours total) and 1x1 hour workshop for 10 weeks (10 hours). • Approximately 84 hours of self-directed study which will include preparation for lectures, workshops, assignments, and exams. Other Information This course supports Masters students looking to improve their skills in mathematical argument and proof-writing.
None. Preliminary Reading Mathematics and Plausible Reasoning, Polya Number, Symmetry and Shape by Diane Herrmann and Paul J. Sally Jr. Introduction to Mathematical Thinking: Problem-Solving and Proof by John D'Angelo and Douglas West