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Page TOC-15
Integration with units ,13-21
Infinite series ,13-22
Taylor and Maclaurin’s series ,13-23
Taylor polynomial and reminder ,13-23
Functions TAYLR, TAYLR0, and SERIES ,13-24
Chapter 14 - Multi-variate Calculus Applications ,14-1
Multi-variate functions ,14-1
Partial derivatives ,14-1
Higher-order derivatives ,14-3
The chain rule for partial derivatives ,14-4
Total differential of a function z = z(x,y) ,14-5
Determining extrema in functions of two variables ,14-5
Using function HESS to analyze extrema ,14-6
Multiple integrals ,14-8
Jacobian of coordinate transformation ,14-9
Double integral in polar coordinates ,14-9
Chapter 15 - Vector Analysis Applications ,15-1
Definitions ,15-1
Gradient and directional derivative ,15-1
A program to calculate the gradient ,15-2
Using function HESS to obtain the gradient ,15-2
Potential of a gradient ,15-3
Divergence ,15-4
Laplacian ,15-4
Curl ,15-5
Irrotational fields and potential function ,15-5
Vector potential ,15-6
Chapter 16 - Differential Equations ,16-1
Basic operations with differential equations ,16-1
Entering differential equations ,16-1