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Page TOC-14
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
Checking solutions in the calculator, 16-2
Slope field visualization of solutions, 16-3
The CALC/DIFF menu, 16-4
Solution to linear and non-linear equations, 16-4
Function LDEC, 16-4
Function DESOLVE, 16-7
The variable ODETYPE, 16-8
Laplace transforms, 16-10
Definitions, 16-10
Laplace transform and inverses in the calculator, 16-11
Laplace transform theorems, 16-12
Dirac’s delta function and Heaviside’s step function, 16-15
Applications of Laplace transform in the solution of ODEs, 16-17
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