Transforming Numerical Methods Education for the STEM Undergraduate |
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MATH FOR COLLEGE
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WOLFRAM DEMONSTRATIONS (External link | What are Wolfram Demonstrations? | Do need free Mathematica Player to run) |
INTRODUCTION TO SCIENTIFIC COMPUTING |
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MEASURING ERRORS (CHAPTER 01.02) |
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Precision Error [NBP] | |||||||||||||||||||||||
SOURCES OF ERROR (CHAPTER 01.03) |
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Accuracy of Series of Approximation [NBP] |
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BINARY REPRESENTATION (CHAPTER 01.04) |
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TAYLOR'S THEOREM REVISITED (CHAPTER 01.07) |
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DIFFERENTIATION |
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BACKGROUND (CHAPTER 02.01) |
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Differentiation of Continuous Functions (CHAPTER 02.02) |
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NONLINEAR EQUATIONS |
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QUADRATIC EQUATIONS (CHAPTER 03.01) |
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CUBIC EQUATIONS METHOD (CHAPTER 03.02) |
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BISECTION METHOD (CHAPTER 03.03) |
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A Simulation of Bisection Method [NBP] | |||||||||||||||||||||||
Newton-Raphson Method (CHAPTER 03.04) |
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SECANT METHOD (CHAPTER 03.05) |
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REGRESSION |
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Linear Regression (CHAPTER 06.03) |
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Nonlinear Regression (CHAPTER 06.04) |
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INTEGRATION |
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primer ON INTEGRAL CALCULUS (CHAPTER 07.01) |
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Trapezoidal Rule (CHAPTER 07.02) |
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SIMPSON'S 1/3 RULE (CHAPTER 07.03) |
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Gauss Quadrature Rule (CHAPTER 07.05) |
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Discrete Data Integration (CHAPTER 07.06) |
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ORDINARY DIFFERENTIAL EQUATIONS |
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Primer on ODE (CHAPTER 08.01) |
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EuLER's METHOD (CHAPTER 08.02) |
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RuNGE-KUTTA 2ND ORDER METHOD (CHAPTER 08.03) |
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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, 0717624, 0836981, 0836916, 0836805, 1322586. 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. Based on a work at http://mathforcollege.com/nm. Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. |
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