Calculus I: The Study of Motion and Change
Calculus is the study of rates of change of functions (the derivative), accumulated areas under curves (the integral), and how these two ideas are (surprisingly!) related. The concepts and techniques involved apply to medicine, economics, engineering, physics, chemistry, biology, ecology, geology, and many other fields. Such applications appear throughout the course, but we will focus on understanding concepts deeply and approach functions from graphical, numeric, symbolic, and descriptive points of view. Conference work will explore additional mathematical topics. This seminar is intended for students planning further study in mathematics or science, medicine, engineering, economics, or any technical field, as well as students who seek to enhance their logical thinking and problem-solving skills. Facility with high-school algebra and basic geometry are prerequisites for this course. Prior exposure to trigonometry and/or precalculus is highly recommended. No previous calculus experience is necessary or desired.