Instructor: Dr. Clayton Shonkwiler
Time: Monday, Wednesday, Friday 10:10–11:00
Location: Boyd 304
Office: Boyd 436
Office Hours: Wednesdays 1:00–2:00, Thursdays 2:00–3:00
Text: Mathematical Proofs: A Transition to Higher Mathematics, by Gary Chartrand, Albert D. Polimeni, and Ping Zhang
Email Address: firstname.lastname@example.org
While introductory mathematics courses like calculus are primarily computational in nature, advanced courses like abstract algebra and real analysis are proof-based. This course is the gateway to advanced mathematics courses. The goal of this course is to teach students to think and communicate in rigorous mathematical style, developing the necessary language, grammar, and modes of thinking necessary to succeed in advanced mathematics courses.
The course will be quite different from the mathematics courses you have taken in the past. It will no longer be enough to be able to use a technique that someone told you or to apply a theorem to solve a problem; now you need to be able to understand and generate the proofs of theorems and other mathematical statements and to communicate in acceptable mathematical style. Since you will be have to think and communicate in entirely new ways, you are likely to find it quite challenging but also (hopefully!) somewhat exhilarating.