MA 242 - Analytic Geometry and Calculus III
North Carolina State University,, Fall 2004 , Prof. Larry K. Norris
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Updated On 02 Feb, 19
Cartesian Coordinates in space - Vectors - The Dot Product - The Cross Product - Equations of Lines and Planes - Vector Functions and Space Curves - Derivatives and Integrals of Vector Functions - Arc Length and Curvature - Motion in Space - Functions and surfaces - Functions of several variables - level curves of f(x,y)and level surfaces of f(x,y,z) - Limits and continuity of f(x,y) and f(x,y,z) - partial derivatives - differentiability of f(x,y) and f(x,y,z) - The Chain Rule - Directional derivatives and the gradient vector - optimization - Double Integrals over Rectangles - Iterated integrals - Double Integrals over general regions - Double integrals in polar coordinates - Applications of double integrals - Triple integrals in Cartesian coordinates - Cylindrical coordinates - Triple integrals in cylindrical coordinates
Spherical coordinates - Triple integrals in spherical coordinates - Vector Fields - Line integrals - Line integrals of functions along parameterized curves - Line integrals of vector fields along parameterized curves; The defintion of the work done by a force - The fundamental theorem for Line Integrals - Greens Theorem - Divergence and Curl - Parametric Surfaces - BEGIN MAPLE ASSIGNMENT - tangent planes to parametrized surfaces - Surface area of Parameterized Surfaces - Surface Integrals - surface integral of a function - surface integral of a vector field - Stokes Theorem - The Divergence Theorem -
4.1 ( 11 )
Finish up discussion of triple integrals in spherical coordinates do three example problems.
Begin (briefly) Section 13.1 Vector Fields
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
March 29, 2019
Great course. Thank you very much.