Dive into advanced calculus concepts in this comprehensive 10-hour course. Begin with a review of derivatives before exploring area approximation, definite integrals, and the Fundamental Theorem of Calculus. Master integration techniques including substitution, exponential and logarithmic functions, and inverse trigonometric functions. Apply these skills to solve problems involving areas between curves, volumes of revolution, arc length, and surface area. Explore physical applications, moments, and centers of mass. Delve into exponential growth and decay models. Advance to more complex integration methods such as integration by parts, trigonometric integrals, partial fractions, and improper integrals. Conclude with an introduction to double integrals, providing a solid foundation for further mathematical study.