HP 48gII User Manual

Page 18

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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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