Contents: Introduction to maple -- Plotting functions of variable -- Coordinates in 3-space, dot products and vector products -- Parametric lines and planes -- 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 surface -- Cylindrical corrdinates -- Spherical coordinates -- Partial derivatives and the chain rule -- Gradients, directional derivates 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 coordinates -- Triple integrals in cylindrical coordinates -- Triple integrals in spherical coordinates -- Type 1 and 2 line integrals -- Conservative vector fields -- Green's theorem -- Surface integrals -- Stokes' theorem and the divergence theorem.