Instructor: Dr. Clayton Shonkwiler
Time: Monday, Tuesday, Wednesday, Friday 9:00–9:50
Location: Weber 202
Office: Weber 216
Office Hours: Monday 10:00–11:00 AM, Wednesday 1:00–2:00 PM in TILT Great Hall
Email Address: firstname.lastname@example.org
Text: Officially Thomas’ Calculus, Fourteenth Edition, by Hass, Heil and Weir, but any reasonably recent edition of the text will have substantially the same information, and should be adequate for the course. Additionally, APEX Calculus and OpenStax have high-quality free alternatives.
This course builds on some of the key ideas from Calculus I, especially in developing the theory of integrals and how to compute them, but also charts new territory in the form of one of the most important and fundamental tools in applications of mathematics to the physical sciences: power series. We start with an introduction to sequences and series, digress into the study of transcendental functions and techniques of integration, then return to series and especially power series. Finally, we will extend the domain of discourse from the real line to the plane, introducing calculus on parametrized curves and in polar coordinates.
You should understand each of these concepts theoretically, geometrically, and heuristically and be able to compute effectively enough to apply them appropriately. In order to do so you will need to develop your abilities to think mathematically and communicate effectively.