Students will continue the study of techniques and applications of integration begun in Calculus I and II, then begin a thorough study of sequences and series, including tests of convergence, error estimates, Taylor series (and polynomial approximations), and power series. Finally, students will study the calculus of the conic sections, parametric equations, vectors, and polar forms. Upon the successful completion of this course, students will be prepared for a course in multivariable calculus.
Upon the completion of this course, students may elect to take the corresponding College Board standardized test.
Upon completion of the single-variable topics in Calculus III, students will be introduced to topics in multivariable calculus, including vector operations and vector-valued functions in two- and three-space, lines, planes, and surfaces in space, and partial derivatives.