Linear approximation and Taylor’s theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss, and Stokes.
|Vectors and Geometry of Space||12.2-12.6||3|
|Vector Valued Functions, Vector Calculus, Tangents, Arclength, Motion in Space||13.1-13.6||8|
|Functions of several variables, Partial Derivatives, Gradients, Extreme Values, Lagrange Multipliers, Taylor's theorem in several variables||14.1-14.10||12|
|Double and triple integrals||15.1-15.8||10|
|Vector analysis -- line integrals, surface integrals, and the theorems of Green, Gauss, and Stokes||16.1-16.8||10|