HP 48gII User Manual

Page 19

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Page TOC-15

Fourier series, 16-27

Function

FOURIER,

16-28

Fourier series for a quadratic function, 16-29

Fourier series for a triangular wave, 16-35

Fourier series for a square wave, 16-39

Fourier series applications in differential equations, 16-42

Fourier Transforms, 16-43

Definition of Fourier transforms, 16-46

Properties of the Fourier transform, 16-48

Fast Fourier Transform (FFT) , 16-49

Examples of FFT applications, 16-50

Solution to specific second-order differential equations, 16-53

The Cauchy or Euler equation , 16-53

Legendre’s

equation,

16-54

Bessel’s

equation,

16-55

Chebyshev or Tchebycheff polynomials, 16-57

Laguerre’s

equation,

16-58

Weber’s equation and Hermite polynomials, 16-59

Numerical and graphical solutions to ODEs, 16-60

Numerical solution of first-order ODE, 16-60

Graphical solution of first-order ODE, 16-62

Numerical solution of second-order ODE, 16-64

Graphical solution for a second-order ODE, 16-66

Numerical solution for stiff first-order ODE, 16-68

Numerical solution to ODEs with the SOLVE/DIFF menu, 16-69

Function

RKF,

16-70

Function

RRK,

16-71

Function

RKFSTEP,

16-72

Function

RRKSTEP,

16-73

Function

RKFST,

16-72

Function

RKFERR,

16-72

Function

RSBERR,

16-73

Chapter 17 - Probability Applications

, 17-1

The MTH/PROBABILITY.. sub-menu - part 1, 17-1

Factorials, combinations, and permutations, 17-1

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