This course is offered through the Osher Lifelong Learning Institute (OLLI) at Colorado State University. You must be a member of Osher to enroll in this course.
Mathematics is a tool for discovering patterns and analyzing these patterns to make predictions. In this course, we will use mathematical ideas to identify and analyze patterns in numbers and counting, shapes and solids, randomness and chance, physical phenomena, and the arts.
As an example involving numbers, notice that successive square numbers (1, 4, 9, 16, 25...) differ by consecutive odd integers (3, 5, 7, 9...). Will this pattern continue? Why does this happen?
Can we predict the difference between two successive large square numbers? Class sessions will invite exploration, discussion and collaboration.
Recommended Readings: Ellenberg, Jordan, How Not to Be Wrong: The Power of Mathematical Thinking, ISBN978-0-14-312753-6; Ouellette, Jennifer, The Calculus Diaries, ISBN13: 9780143117377; Paulos, John Allen, A Mathematician Reads the Newspaper, ISBN-978-0-465-08999-4.
Noncredit courses do not produce academic credit nor appear on a Colorado State University academic transcript.
Ken Klopfenstein is Professor Emeritus at CSU. He managed the self-paced pre-calculus program and worked on several projects to improve student satisfaction and success in freshman and sophomore math courses. He served on the board of the International Society for Exploring Teaching and Learning for several years.
Darel Hardy is Professor Emeritus at CSU. During his 42 years at CSU he contributed to projects designed to improve mathematics education at the secondary and university levels and authored textbooks on calculus and applied algebra.
Gail Gliner is Professor Emeritus at Metropolitan State University. She has done research on mathematics learning and was an evaluator for Department of Education grants to interest women and minorities in mathematics and science. Her interests include mathematics education, statistics, mathematics history, and mathematical modeling.