Calculus for Everyone
About the course
This unique course is a truly classical approach to calculus. Working through Dr. Mitch Stokes’ Calculus for Everyone, we begin with the problem of change and walk through the major concepts in a typical Calculus I course by examining the history of its development. Class will consist of a combination of lectures, exercises, quizzes, and exams emphasizing both the history of the development of calculus and the mathematical knowledge of limits, derivatives, and integrals.
This class meets for 32 weeks total divided into four eight-week quarters. Students will meet once a week for 90 minutes. Class will consist of lecture and subsequent recitation, and a weekly quiz after class due by Day's End. Each quarter students will be assigned weekly homework (reading, study questions, exercises). Each quarter will culminate with an exam covering that quarter's material with the exception of the final quarter which culminates with a comprehensive final exam.
The course prerequisite is successfully completing Algebra I. This course is ideal for students who:
- Are unsure if they would like to take a Calculus course
- Have decided to take Calculus but are unsure when
- Are seeking a classical approach to Calculus
- Want to understand how Calculus applies in the real world
- Are curious about the origins of philosophy and mathematics
Throughout the course, students will learn:
• About the need for Calculus and its historical development • To work with algebraic functions and their applications to problems • The concept of the derivative and what underlies it • To calculate derivatives for various functions using its definition vs. rules • To use differentiation to completely analyze the graph of a function • About various applications of the derivative • About the anti-derivative and the Fundamental Theorem of Calculus • To use integration to evaluate geometric areas and solve other applied problems
- Calculus for Everyone: Understanding the Mathematics of Change by Mitch Stokes