Calculus I
F05, F06 
Adam Boucher, Robert Page
This course introduces students to the most powerful mathematical tool of the modern era. The culmination of efforts to grasp continuously changing quantities, the calculus provided modern science with the capability to capture and analyze their world in ways that permeate our perceptions today. The key to the problem, the ability to describe and use the infinitely small, has had practical and far-reaching effects and applications in the physical and social sciences, engineering, and economics. The course culminates in the consideration of the problem of finding areas of curved figures and the applications of its solution, leading to an unexpected grand synthesis of the mathematics of speed and areas in the Fundamental Theorem of Calculus.