Differential and integral calculus with applications. Graphs of polynomial functions and derivatives of polynomials; maxima, minima, points of inflection. Limits of sequences and functions, differentiability and continuity and consequences. Derivatives, Newton's method, Taylor polynomial approximation, elementary transcendental functions, polynomial spline functions. Inverse functions and their derivatives. Implicit functions and differentiation. Integration, Riemann sums, and the logarithm function. Fundamental theorem of the calculus. Integration by substitution, Applications. See catalog description.