Honors Multivariable Calculus

Topics include but are not limited to:
• Vector analysis, including the study of dot products and cross products of vectors, space coordinates, vectors in space and vector valued functions
• A review of lines and planes in space, surfaces of revolution and cylindrical and spherical coordinates with a study of velocity and acceleration, tangent and normal vectors, arc length and curvature
• Functions of several variables and limits and continuity of such functions, partial derivatives of such functions, and a survey of differentials, the chain rule, implicit partial differentiation, directional derivatives, gradients, and tangent planes and normal lines
• The determination of the extrema of such functions and optimization applications
• Iterated and double and triple integrals and applications in determining area, volume, and surface area