PRINT    

Calculus 3

By David A. Smith

Calculus 3 presents the concepts of continuity, differentiation, and integration of vector-valued functions to determine unit tangent and unit normal vectors in the process of modeling objects in three dimensions. Calculus 3 involves computing and sketching level curves and level surfaces for functions of several variables and sketching the graphs of functions of two variables. Calculus 3 also involves analyzing limits, determining continuity, and computing partial derivatives of multivariate functions. After Calculus 3 you will be able to demonstrate techniques of multiple integration and be able to compute iterated integrals over rectangular regions, non-rectangular regions, and in other coordinate systems. You will also be able to apply multiple integrals in problem situations involving area, volume, surface area, center of mass, and moments of inertia. Calculus 3 also involves computing line integrals and surface integrals by applying The Fundamental Theorem for line integrals, Green’s theorem, Stoke’s Theorem and the Divergence Theorem.

Here is a complete table of contents for calculus 3.

Advanced Calculus Books