Abstract: |
This course is an introduction to the ideas and methods of mathematics.The only prerequisite is some familiarity with topics in a typical high school mathematics curriculum. We will revisit many of these from a more conceptual viewpoint and through numerous examples. Special emphasis will be laid on the interconnections between seemingly disjoint topics. This course seeks to go beyond the “procedures'to'solve'routine'problems” approach of a typical school curriculum to offer a glimpse of what mathematics is really about. It should be suitable for high school students, lower undergraduates, teachers at various levels, or others with a keen interest in mathematics. |