Applications of calculus : summary of Dr. Stephen McAdam’s summer course Mathematics Department at the University of Texas at Austin

The aim of this paper is to summarize Professor McAdam’s course on the applications of calculus by showing how calculus can be applied within mathematical situations by understanding concepts in physics. Aside from using calculus to assist in maximizing or minimizing situational problems, it is important to understand how the rules of calculus came to be. This paper shows origins of a few of the many rules used in calculus, applications in economics, plane flight, dogs fetching sticks, and relativity in space.