CALCULUS FOR THE SCIENCES
This course in differential and integral calculus begins with a review of functions, introduces limits and explores the derivative both from a limit-based and rule-based approach, covering elementary functions and applications. Integration is introduced from the perspective of anti-differentiation, followed by coverage of Riemann sums and the Fundamental Theorems, definite and indefinite integrals and solution techniques. Arc length, area and volume integrals and other applications are introduced. Series and convergence are explored, followed by an introduction to differential equations. Finally, parametric curves and polar coordinates, and the basics of multivariable calculus are presented. Examples are drawn from applications in the sciences.