Calculus III Week by week description

MATH 2401 Calculus III:
Week by week description

Week One Resources: Vector functions and parameterized curves.
Week Two Resources: Curvilinear motion.
Week Three Resources: Curvature and acceleration. Functions of several variables.
Week Four Resources: Functions of several variables --graphs, contour plots, and partial derivatives.
Week Five Resources: Functions of several variables --gradient, directional derivative, chain rule.
Week Six Resources: Functions of several variables --Tangent planes, Taylor's theorem, Newton's method.
Week Seven Resources: Optimization --critical points, the second derivative test, Lagrange multipliers.
Week Eight Resources: Functions of several variables --differentials. Double integrals.
Week Nine Resources: Double integrals in Cartesian and polar coordinates. Applications.
Week Ten Resources: Triple integrals in Cartesian, cylindrical, and spherical coordinates.
Week Eleven Resources: Multiple integrals --change of variables and the Jacobian.
Week Twelve Resources: Line integrals.
Week Thirteen Resources: Green's theorem. Parametric surfaces.
Week Fourteen Resources: Surface integrals, flux, and the Divergence theorem.
Week Fifteen Resources: Stokes' theorem.