This study guide contains all of the formulas from chapters 12 and 13 from our Math 103 textbooks. This includes: vectors, dot products, cross products, curves in spaces, partial derivatives, cylinder and quadratic surfaces, multivariable chain rule, directional derivatives, gradient, Lagrange multipliers, and critical points.
This is a more rough study guide from our first exam for Math 103 (Multivariable Calculus). This includes vectors, dot products, cross products, other vector properties, arc length, curvature (kappa), among other topics. Not as clean but still useful.
This is a formula sheet for the second half of Calc. 3. Includes formulas for polar, cylindrical and spherical coordinates, double and triple integration, surface integrals, Green's theorem, divergence theorem, and Stokes' Theorem.