Functions. Limits of Functions. The derivative. Newton's method for solving equations. Graphs of polynomial functions. Graphs of rational functions. Areas under curves and integrals. Evaluating integrals by substitution. Inverses of functions. Functions defined by integrals. Solving differential equations. Integration by parts, reduction formulas, and pattern recogntion. Integrals of rational functions. Numerical integration. Error bounds in trapezoidal and Simpson's rules. Graphs of parametric equations. Graphs in polar coordinates. Rotations of conic sections. Sums and infinite series. Taylor polynomials and function evauation. Vectors in Maple. Plotting Graphs in 3-D space. Functions of Several Variables (Part A). Functions of several variables (Part B). Appendix A: Maple functions used in this book.
