Applied Numerical Analysis Class Notes
Here is the most current version of the Class Maple Library:

nalib: stuffit archive or self-extracting Windows archive

Class Maple Settings: 15 16

Library last updated on July 1, 2009

  Chapter 1  
Section 1.2
1 2 3 4 5 6
Introduction ppt doc pdf

Taylor Polynomialsmw pdf

Taylor Error mw pdf

Section 1.3
7 8 9
Computer Numbers mw pdf

 

Section 1.4
10 11 12 13 14 15

Nested Evaluation mw pdf

Convergence of Algorithms mw pdf

  Chapter 2  
Section 2.2
16 17 18 19 20

Bisection algorithm: 1 2

bisection algorithm mw pdf

Bisection Method mw pdf

The Class Maple Library mw pdf

Making a Maple Library:

Windows mw pdf

Macintosh mw pdf

Section 2.2A
21 22 23
Fixed-Point Project mw pdf
Section 2.3
24 25 26 27 28

secant algorithm mw pdf

Secant Method mw pdf

false position algorithm mw pdf

Method of False Position mw pdf

Section 2.4
29 30 31 32
newton algorithm mw pdf

Newton-Raphson Method mw pdfx

Section 2.5
33 34 35 36 37 38
steffensen algorithm mw pdf

Accelerating Convergence mw pdf

Section 2.6

39 40 41 42 43 44 45
Horner algorithm mw pdf

Solving Polynomial Equations mw pdf

Muller's algorithm mw pdf

Muller's Method mw pdf

Maple solvers mw pdf

  Chapter 3  
Section 3.1
46 47
Section 3.2
47 48 49 50 51 52

Lagrange Interpolation mw pdf

Section 3.3
52 53 54 55 56

divided differences algorithm mw pdf

Divided Differences mw pdf

Section 3.4
57 58 59 60 61 62 63
hermite algorithm mw pdf

hermiteddalgorithm mw pdf

Hermite Interpolation mw pdf

 

Section 3.5

63 64 65 66 67 68

natural spline algorithm mw pdf

clamped spline algorithm mw pdf

Cubic Splines mw pdf

Section 3.6

69 70 71 72

bezier curve algorithm mw pdf

Parametric and Bezier Curves mw pdf

  Chapter 4  
Section 4.1
x
Section 4.2
x
Section 4.3
Composite Numerical Integration mw pdfx
Section 4.4
romberg algorithm mw pdf

Romberg Integration mw pdf

Section 4.5

Guassian Quadrature mw pdf

Section 4.6

adaptive quadrature algorithm mw pdf

Adaptive Quadrature mw pdf

Maple's Numerical Integration mw pdf

Section 4.9 100 101 102 103 104 105 106  
  Chapter 5  
Section 5.1
Initial-Value Problems mw pdf
Section 5.2

Euler's Method mw pdf

Taylor Methods mw pdf

Section 5.3
Runge-Kutta Methods mw pdf
Section 5.4
Adams Methods mw pdf
Section 5.5

Gragg extrapolation algorithm mw pdf

Gragg Extrapolation mw pdf

Section 5.6 128 129 130 Runge-Kutta-Fehlberg mw pdf
Section 5.7
Systems and Higher Order Differential Equations mw pdf
Section 5.8
Stiff Differential Equations mw pdf
  Chapter 6  
Section 6.1
Section 6.2
Linear Systems mw pdf
Section 6.3
Pivoting mw pdf
Section 6.4
Linear Algebra and Inverses mw pdf
Section 6.5
LU Decomposition mw pdf
  Chapter 7  
Section 7.1
Section 7.2
Vector and Matrix Norms mw pdf
Section 7.3

Eigenvalues and Eigenvectors mw pdf

Section 7.4 167 168 169 170 171 Jacobi iteration algorithm mw pdf

Gauss-Seidel iteration algorithm mw pdf

Section 7.5 171 172 173

SOR iteration algorithm mw pdf

Iteration Methods for Linear Systems mw pdf

  Chapter 8  
Section 8.1
Section 8.2
Regression mw pdfx
Section 8.6
Trigonometric Polynomials mw pdf
Section 8.7
Fast Fourier Transform mw pdf