# Class Notes for MATH 475B at University of Arizona (U OF A)

U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 22: Eigenfunction, Sine Wave

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Page 1 of 6 - apr 12, 2011. Know your audience (know what they already are familiar with) and choose the right level based on what they know and are li
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 15: Homotopy

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Page 1 of 7 - mar 10, 2011: how to get a good initial guess for newton: homotopy method, tricks for converting more general problems into bvps in stand
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 17: Finite Difference

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Page 1 of 5 - mar 24, 2011. How to use matlab built in bvp4c and bvpinit to solve bvps. Page 2 of 5 - mar 24, 2011. Because they match the symmetries o
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 6: Numerical Stability, System Dynamics, Stiff Equation

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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 11: Eval

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Page 1 of 5 - feb 22, 2011. Go over hw 2 and a sample simpler problem. Then pick the bests. costs vs accuracy: cost = # function evals or execution tim
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 2: Jacobian Matrix And Determinant, Numerical Method

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Page 1 of 5 - jan 18, 2011. This gives us a way to solve for the y(t+h) in terms of y(t) via an implicit equation. Newton"s method: linearize equation,
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture 12: 1 March 11

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U OF AMATH 475BIndikSpring

## MATH 475B Lecture 14: 8 March 11

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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 10: Sensitivity Analysis

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Page 1 of 2 - feb 17, 2011. Open book, open laptop, open notes, web ok. Matlab problems will be similar to homework 1 and 2. For sure: sensitivity anal
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 9: Secant Method, Sensitivity Analysis

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Page 1 of 4 - feb 15, 2011. Figures should: be labeled, usually titled be legible, fonts need to be big enough. Every gure should have a point and demo
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U OF AMATH 475BIndikSpring

## MATH 475B Lecture Notes - Lecture 4: Approximation Error, Identity Matrix

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Page 1 of 5 - jan 25, 2011. Newton"s method: used to nd the roots of some function ex: need: an initial guess, function, derivative of the function new
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U OF AMATH 475BIndikSpring

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