The goal of this course is to further your understanding and appreciation of calculus. Just as in Understanding Calculus: Problems, Solutions, and Tips, you will see how calculus plays a fundamental role in all of science and engineering. In the first third of the course, you’ll use the tools of derivatives and integrals that you learned in calculus I to solve some of the great detective stories of mathematics differential equations. The middle portion of the course will take you to the beautiful world of infinite series and their connection to the functions you have learned about in your studies of pre calculus and calculus. Finally, the third part of the course will lead to a solid understanding of key concepts from physics, including particle motion, velocity, and acceleration. Calculus is often described as the mathematics of change.