*DERIVATIVES AND DIFFERENTIATION: *Definitions; derivatives of algebraic functions; rules of differentiation; derivatives of trigonometric functions; proofs; implicit differentiation; differentials

*APPLICATIONS OF DERIVATIVES: *Slope of tangent lines; related rates; concavity and points of inflection; relative and absolute maxima and minima; rectilinear motion; mean value theorem

*INTEGRATION: *All basic formulas and functions including *u* substitution; definite and indefinite integrals; 1^{st} and 2^{nd} Fundamental Theorems of Calculus; indeterminate forms

*APPLICATIONS OF THE INTEGRAL: *Area under a curve; area between two curves; volumes of solids of revolution; inverse trigonometric functions; rectilinear motion; average value

***Exponential and logarithmic functions will be included, as appropriate, as each topic is studied rather than as separate topics (see textbook). Thus their applications will be included at the appropriate time as each topic is studied. ***