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Code:	ME 565
Subject:	Mechanical Engineering
Topic:	Applied Mathematics
Views:	43,991

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Name:	University of Washington (Washington)
Type:	University

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Engineering Mathematics for Mechanical Engineers II

Video Lectures

Displaying all 30 video lectures.

Lecture 1 Play Video	Complex numbers and functions ME565 Lecture 1 Engineering Mathematics at the University of Washington Complex numbers and functions Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L01.pdf http://faculty.washington.edu/sbrunton/
Lecture 2 Play Video	Roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions ME565 Lecture 2 Engineering Mathematics at the University of Washington Roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L02.pdf http://faculty.washington.edu/sbrunton/
Lecture 3 Play Video	Integration in the complex plane (Cauchy-Goursat Integral Theorem) ME565 Lecture 3 Engineering Mathematics at the University of Washington Integration in the complex plane (Cauchy-Goursat Integral Theorem) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L03.pdf http://faculty.washington.edu/sbrunton/
Lecture 4 Play Video	Cauchy Integral Formula ME565 Lecture 4 Engineering Mathematics at the University of Washington Cauchy Integral Formula Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L04.pdf http://faculty.washington.edu/sbrunton/
Lecture 5 Play Video	ML Bounds and examples of complex integration ME565 Lecture 1 Engineering Mathematics at the University of Washington ML Bounds and examples of complex integration Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L05.pdf http://faculty.washington.edu/sbrunton/
Lecture 6 Play Video	Inverse Laplace Transform and the Bromwich Integral ME565 Lecture 1 Engineering Mathematics at the University of Washington Inverse Laplace Transform and the Bromwich Integral Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L06.pdf http://faculty.washington.edu/sbrunton/
Lecture 7 Play Video	Canonical Linear PDEs: Wave equation, Heat equation, and Laplace's equation ME565 Lecture 7 Engineering Mathematics at the University of Washington Canonical Linear PDEs: Wave equation, Heat equation, and Laplace's equation Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L07.pdf http://faculty.washington.edu/sbrunton/
Lecture 8 Play Video	Heat Equation: derivation and equilibrium solution in 1D (i.e., Laplace's equation) ME565 Lecture 8 Engineering Mathematics at the University of Washington Heat Equation: derivation and equilibrium solution in 1D (i.e., Laplace's equation) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L08.pdf http://faculty.washington.edu/sbrunton/
Lecture 9 Play Video	Heat Equation in 2D and 3D. 2D Laplace Equation (on rectangle) ME565 Lecture 9 Engineering Mathematics at the University of Washington Heat Equation in 2D and 3D. 2D Laplace Equation (on rectangle) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L09.pdf http://faculty.washington.edu/sbrunton/
Lecture 10 Play Video	Analytic Solution to Laplace's Equation in 2D (on rectangle) ME565 Lecture 10 Engineering Mathematics at the University of Washington Analytic Solution to Laplace's Equation in 2D (on rectangle) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L10.pdf http://faculty.washington.edu/sbrunton/
Lecture 11 Play Video	Numerical Solution to Laplace's Equation in Matlab. Intro to Fourier Series ME565 Lecture 11 Engineering Mathematics at the University of Washington Numerical Solution to Laplace's Equation in Matlab. Intro to Fourier Series Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L11.pdf Matlab code: * http://faculty.washington.edu/sbrunton/me565/matlab/L11_Lapl... * http://faculty.washington.edu/sbrunton/me565/matlab/L11_Anal... * http://faculty.washington.edu/sbrunton/me565/matlab/L11_Hard... http://faculty.washington.edu/sbrunton/
Lecture 12 Play Video	Fourier Series ME565 Lecture 12 Engineering Mathematics at the University of Washington Fourier Series Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L12.pdf Matlab code: http://faculty.washington.edu/sbrunton/me565/matlab/L12_Four... http://faculty.washington.edu/sbrunton/
Lecture 13 Play Video	Infinite Dimensional Function Spaces and Fourier Series ME565 Lecture 13 Engineering Mathematics at the University of Washington Infinite Dimensional Function Spaces and Fourier Series Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L13.pdf http://faculty.washington.edu/sbrunton/
Lecture 14 Play Video	Fourier Transforms ME565 Lecture 14 Engineering Mathematics at the University of Washington Fourier Transforms Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L14.pdf http://faculty.washington.edu/sbrunton/
Lecture 15 Play Video	Properties of Fourier Transforms and Examples ME565 Lecture 15 Engineering Mathematics at the University of Washington Properties of Fourier Transforms and Examples Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L15.pdf http://faculty.washington.edu/sbrunton/
Lecture 16 Play Video	Discrete Fourier Transforms (DFT) ME565 Lecture 16 Engineering Mathematics at the University of Washington Discrete Fourier Transforms (DFT) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L16.pdf http://faculty.washington.edu/sbrunton/
Lecture 17 Play Video	Bonus: DFT in Matlab ME565 Lecture 16 Bonus Engineering Mathematics at the University of Washington Bonus material on the DFT in Matlab http://faculty.washington.edu/sbrunton/
Lecture 18 Play Video	Fast Fourier Transforms (FFT) and Audio ME565 Lecture 17 Engineering Mathematics at the University of Washington Fast Fourier Transforms (FFT) and Audio Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L17.pdf Matlab code: * http://faculty.washington.edu/sbrunton/me565/matlab/EX1_FFT.... * http://faculty.washington.edu/sbrunton/me565/matlab/EX2_FFT.... http://faculty.washington.edu/sbrunton/
Lecture 19 Play Video	FFT and Image Compression ME565 Lecture 18 Engineering Mathematics at the University of Washington FFT and Image Compression Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L18.pdf Matlab code: http://faculty.washington.edu/sbrunton/me565/matlab/compress... http://faculty.washington.edu/sbrunton/
Lecture 20 Play Video	Fourier Transform to Solve PDEs: 1D Heat Equation on Infinite Domain ME565 Lecture 19 Engineering Mathematics at the University of Washington Fourier Transform to Solve PDEs: 1D Heat Equation on Infinite Domain Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L19.pdf http://faculty.washington.edu/sbrunton/
Lecture 21 Play Video	Numerical Solutions to PDEs Using FFT ME565 Lecture 20 Engineering Mathematics at the University of Washington Numerical Solutions to PDEs Using FFT Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L20.pdf Matlab code: * http://faculty.washington.edu/sbrunton/me565/matlab/HeatConv... * http://faculty.washington.edu/sbrunton/me565/matlab/HeatFFT.... * http://faculty.washington.edu/sbrunton/me565/matlab/HeatBoth... * http://faculty.washington.edu/sbrunton/me565/matlab/Spectral... * http://faculty.washington.edu/sbrunton/me565/matlab/benchSpe... * http://faculty.washington.edu/sbrunton/me565/matlab/smoothFF... http://faculty.washington.edu/sbrunton/
Lecture 22 Play Video	The Laplace Transform ME565 Lecture 21 Engineering Mathematics at the University of Washington Laplace Transform Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L21.pdf http://faculty.washington.edu/sbrunton/
Lecture 23 Play Video	Laplace Transform and ODEs ME565 Lecture 22 Engineering Mathematics at the University of Washington Laplace Transform and ODEs Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L22.pdf http://faculty.washington.edu/sbrunton/
Lecture 24 Play Video	Laplace Transform and ODEs with Forcing and Transfer Functions ME565 Lecture 23 Engineering Mathematics at the University of Washington Laplace Transform and ODEs with Forcing and Transfer Functions Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L23.pdf http://faculty.washington.edu/sbrunton/
Lecture 25 Play Video	Convolution integrals, impulse and step responses ME565 Lecture 24 Engineering Mathematics at the University of Washington Convolution integrals, impulse response and step response Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L24.pdf http://faculty.washington.edu/sbrunton/
Lecture 26 Play Video	Laplace transform solutions to PDEs ME565 Lecture 25 Engineering Mathematics at the University of Washington Laplace transform solutions to PDEs Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L25.pdf http://faculty.washington.edu/sbrunton/
Lecture 27 Play Video	Solving PDEs in Matlab using FFT ME565 Lecture 26 Engineering Mathematics at the University of Washington Solving PDEs in Matlab using FFT Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L26.pdf http://faculty.washington.edu/sbrunton/
Lecture 28 Play Video	SVD Part 1 UW ME 565 Lecture 27 by Steve Brunton. Singular Value Decomposition (SVD) http://faculty.washington.edu/sbrunton/me565/
Lecture 29 Play Video	SVD Part 2 UW ME565 Lecture 28 by Steve Brunton. Singular Value Decomposition (SVD) http://faculty.washington.edu/sbrunton/me565/
Lecture 30 Play Video	SVD Part 3 UW ME565 Lecture 29 by Steve Brunton. Singular Value Decomposition (SVD) http://faculty.washington.edu/sbrunton/me565/