Calculus III Summaries

Calculus (WTW 258 for TUKS) summaries of relevant chapters for engineering students to study from, Inlcudes lots of examples and simplified explanations from the textbooks and world renowned lecturers. The following topics are included: 
 
Real Function of Several Variables, Partial Derivatives, Tangent Planes and Linear Approximations.
The Chain Rule, Directional Derivatives and the gradient vector
Multiple Integrals, Cartesian and Polar Coordinates, Double Integrals, Triple Integrals
Triple Integrals in Cylindrical and Sphere Coordinates, Transformations
Calculus of Vector Functions, Fundamental Theorem of Line Integrals, Greens Theorem, Rotation and Divergence.
 Parametric Surfaces and Their Areas, Surface and Flux Integrals, Stokes Theorem, The Divergence Theorem of Gauss.