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2004 ASME Curriculum Innovation Award |
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TEXTBOOK: NUMERICAL METHODS WITH APPLICATIONS
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1: Introduction, Approximation and Errors (beta version) |
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1.1 Introduction to Scientific Computing [PDF] [DOC] 1.2 Measuring Errors [PDF] [DOC] 1.3 Sources of Error [PDF] [DOC] 1.4 Binary Representation of Numbers [PDF] [DOC] 1.5 Floating Point Representation [PDF] [DOC]
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2: Differentiation (beta version) |
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2.1 Differentiation of Continuous Functions [PDF] [DOC] 2.2 Differentiation of Discrete Functions [PDF] [DOC]
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3: Nonlinear Equations |
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3.1 Solving Quadratic Equations Exactly [PDF] [DOC] 3.2 Solving Cubic equations Exactly [PDF] [DOC] 3.3 Bisection Method [PDF] [DOC] [MORE] 3.4 Newton-Raphson Method [PDF] [DOC] [MORE] 3.5 Secant Method [PDF] [DOC] [MORE]
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4: Simultaneous Linear Equations |
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4.3 Binary Matrix Operations [PDF] [DOC] 4.4 Unary Matrix Operations [PDF] [DOC] 4.5 System of Equations [PDF] [DOC] 4.6 Gaussian Elimination Method [PDF] [DOC] [MORE] 4.7 LU Decomposition Method [PDF] [DOC] [MORE]
4.8 How does Gauss-Seidel method work?
[PDF] [DOC]
[MORE] 4.10 Eigenvalues and Eigenvectors [PDF] [DOC]
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5: Interpolation |
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5.1 Direct Method [PDF] [DOC] [MORE] 5.2 Newton's Divided Difference Method [PDF] [DOC] [MORE] 5.3 Lagrange Method [PDF] [DOC] [MORE] 5.4 Spline Method [PDF] [DOC] [MORE] 5.5 History of Interpolation [PDF] [DOC]
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6: Regression |
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6.1 Primer on statistical terminology [PDF] [DOC] 6.2 Introduction to Regression [PDF] [DOC] 6.3 Linear Regression [PDF] [DOC] [MORE] 6.4 Nonlinear Regression [PDF] [DOC] [MORE]
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7: Integration |
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7.1 Primer on Integral Calculus [PDF] [DOC] 7.2 Trapezoidal Rule
[PDF]
[DOC]
[MORE]
7.4 Romberg Rule
[PDF]
[DOC]
[MORE]
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8: Ordinary Differential Equations |
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8.1 Primer on Ordinary Differential Equations [PDF] [DOC] 8.2 Euler's method [PDF] [DOC] [MORE] 8.3 Runge-Kutta 2nd order method [PDF] [DOC] [MORE] 8.4 Runge-Kutta 4th order method [PDF] [DOC] [MORE] 8.5 On solving higher order & coupled ordinary differential equations [PDF] [DOC] 8.6 Shooting Method [PDF] [DOC] [MORE] 8.7 Finite Difference Method [PDF] [DOC] [MORE]
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9: Fast Fourier Transforms |
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Spring 2009 |
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10: PARTIAL DIFFERENTIAL EQUATIONS |
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Spring 2009 |
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11: optimization |
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Fall 2008 |
Companion Tools for the Textbook
eBooks | PowerPoint Presentations | Simulations | Multiple-Choice Tests | Anecdotes
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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE. |
