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Class Notes for Applied Mathematics at University of Washington

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AMATH 301 Lecture Notes - Lecture 23: Matlab
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Lecture 23 Notes clear all; close all; clc x = 0, x(0) = x0, x(T) = xT x0 = 1; xT = 5; T = 2; dt = 0.1; N = Tdt; number of interior points = N1 t = 0:dt:T; most convenient way to create the matrix v2 = 2*ones(N1,1); v1 ...

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 22: Matlab
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Lecture 22 Notes % built in MATLAB solver clear all; close all; clc sigma = 10; rho = 28; beta = 8/3; f = @(t,v)([sigma * (v(2) - v(1)); v(1) * (rho - v(3)) - v(2); ...

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 21: Euler Method, Matlab
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Lecture 21 Notes clear all; close all; x(0) = 1; v(0) = v0 x0 = 1; v0 = 0; y0 = [x0; v0]; T = 10; dt = 0.1; x = v v = sin(x) v = sin(y1) y2 f = @(t,y)([y(2); sin(y(1)) y(2)]); [t_out, y_out] = ode45(f, [0 T], y0); x =...

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 19: Damping Ratio
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Lecture 19 Notes Table of Contents Forward and Backward Euler Schemes ................................................................................... 1 Built In Matlab Function ............................................

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 17: Matlab
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Table of Contents Lecture 17 Notes ................................................................................................................. 1 Last Time cont, Numerical Derivatives ..................

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 16: Taylor Series, Matlab
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Lecture 16 Notes Table of Contents Taylor Series ...................................................................................................................... 1 Central Difference Sche...

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 15: Matlab
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Lecture 15 Notes Section Method % Imagine a graph of g(x). We then follow these steps: % 1) Take a and b where the minimum is between a and b % 2) Guess x and y in between a and b that are smalle...

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture 14: Optimization w/ Iterative Methods
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Lecture 14 Notes Table of Contents Optimization Overview ........................................................................................................ 1 Newton's Method ................

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 13: Interpolation
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Lecture 13 Notes Table of Contents Spline Interpolation ............................................................................................................. 1 Fminsearch example .........

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 12: Root Mean Square, Polynomial, Matlab
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Lecture 12 Notes Table of Contents Best Fit Lines ..................................................................................................................... 1 Root Mean Square Error ...

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 11: Matlab, Root Mean Square, Dot Product
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Lecture 11 Notes Table of Contents These notes reference files in Canvas ..................................................................................... 1 How to perform in Matlab ..........

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 10: Matlab, Diagonal Matrix
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Table of Contents Lecture 10 Notes ................................................................................................................. 1 Jacobi Iteration ........................................

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 9: Row And Column Vectors, Matrix Splitting, Matlab
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Lecture 9 Table of Contents Eigenvalues and Eigenvectors ............................................................................................... 1 In Matlab ................................

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture Notes - Lecture 8: Matlab, Lead, Lu Decomposition
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Lecture 8 Table of Contents System of Equations so far ................................................................................................... 1 Last time vs. today ...................

Applied Mathematics
AMATH 301
Lowell Thompson
AMATH 301 Lecture 7: LU Decomposition and Timing Code in MATLAB
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Lecture 7 Notes Table of Contents Abstract ............................................................................................................................. 1 LU Decomposition .....................................

Applied Mathematics
AMATH 301
Lowell Thompson
Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
ETC2430
All Professors
Calculus Derivatives - Reference Guides

This advanced Calculus Guide provides assistance to the user through its articulation of key Derivatives principles. Helpful tips to solve exponential and logarithmic functions are featured.

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Becquerel, Hyperbolic Function, International Standard Book Number

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CCalculus Integrals II INTEGRALS INVOLVING a+bu & p+qu ...

BAD - Business Administration
BAD 200
All Professors
College Mathematics - Reference Guides

This comprehensive Guide provides concrete reference materials in three math fundamentals – Algebra, Calculus, and Trigonometry. Helpful sample equations and rules are the backbone to this Guide

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Inflection Point, Inflection, Farad

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Differential Calculus Differential Calculus ...

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Iterated Integral, Centroid, Multiple Integral

permacht asrTM integral Calculus theorems types of iNtegrals averaGe value Theorem ...

BAD - Business Administration
BAD 200
All Professors
Laplace Transforms - Reference Guides

This useful Math Guide is a specific reference for techniques to convert ordinary differential equations to algebraic equations. Helpful charts and summaries are used to convey information such as exponential, square root,...

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Charge Pump, Diode, Electrolytic Capacitor

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CConductors & Semiconductors BASICS TERMS Conductor Valence and conduction bands for electr...

Electrical Engineering
4400:307
All Professors
Permachart - Marketing Reference Guide: Steradian, Luminous Intensity, Si Base Unit

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Metric System ...

Basic Engineering
BE 1101
All Professors
Intermediate Algebra - Reference Guides

This more advanced Guide builds upon the reference material set out in the Introductory Algebra Guide. Linear equations, polynomial equations and complex numbers are readily explained; clear and easy to follow emphasis is ...

MATH
MATH 504
All Professors
Introductory Algebra - Reference Guides

This Guide provides a concise and very readable summary of all key Algebraic principles. Special attention is directed to terminology, laws, and operations, with practical examples developed as illustration of these princi...

MATH
MATH 504
All Professors
Permachart - Marketing Reference Guide: Circumscribed Circle, Trapezoidal Rule, Quadrilateral

permacharts TM Geometry Geometry QUADRILATERALS CIRCLES & CONICS...

MATH
MATH 501
All Professors
Permachart - Marketing Reference Guide: Cubic Yard, Nautical Mile, Fluid Ounce

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS ...

Physics
PHYS 24300
All Professors
Vectors & Matrices - Reference Guides

Vectors are an important area of study that develops naturally from a basic understanding of physics and is subsets – statics, dynamics, and mechanics. This practical Guide provides assistance in an often complex disciplin...

Physics
PHYS 24300
All Professors
Permachart - Marketing Reference Guide: Luminous Flux, Magnetic Flux, Magnetic Flux Quantum

permacharts TM F u n d a m e n t a lP h y s ic a lC o n s t a n t s General Constants Quantity...

Physics
PHYS 24300
All Professors

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