Maple Guide Book

Introduction to Maple; Plotting Functions of 1 Variable; Co-ordinates in 3-Space, Dot Products and Vector Products; Parametric Lines and Planes; Parametric Curves; Finding Parametrizations; Functions of Two Variables; Level Curves and Contour Lines; Functions of Three Variables and Level Surfaces; Parametric Surfaces; Cylindrical Co-ordinates; Spherical Co-ordinates; Partial Derivatives and the Chain Rule; Gradients, Directional Derivatives and Vector Fields; Tangent Planes; Maxima, Minimums and Saddle Points; The Method of Lagrange Multipliers; Double Integrals; Applications of Double Integrals; Double Integrals in Polar Coordinates; Triple Integrals in Rectangular Co-ordinates; Triple Integrals in Cylindrical Co-ordinates; Triple Integrals in Spherical Co-ordinates; Type I and II Line Integrals; Conservative Vector Fields; Green's Theorem; Surface Integrals; Stokes' Theorem and the Divergence Theorem; Maple Commands; Answers to Drill Exercises.