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.
Last Modified:
.
School of Mathematics,
Georgia Institute of Technology.