Calculus is often described as the mathematical study of change, analogous to how geometry is the mathematical study of shape. It can also be viewed as the study of approximations and limits. The first two-thirds of this course focuses on differential calculus, which concerns rates of change. The last third of the course focuses on integral calculus, which concerns the accumulation of quantities. These two ideas are connected by the Fundamental Theorem of Calculus, which essentially says that the two processes are mutual inverses. Derivatives and integrals have proven incredibly useful in many fields of study, and we will see many examples of their applications.