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https://www.youtube.com/playlist?list=PLMrJAkhIeNNT_Xh3Oy0Y4LTj0Oxo8GqsCFourier SeriesInner Products in Hilbert SpaceComplex Fourier SeriesFourier Series and Gibbs PhenomenaThe Fourier TransformThe Fourier Transform and DerivativesThe Fourier Transform and Convolution IntegralsParseval's TheoremSolving the Heat Equation with the Fourier TransformThe Discrete Fourier Transform (DFT)The Fast Fouri..

https://www.youtube.com/playlist?list=PLMrJAkhIeNNQromC4WswpU1krLOq5Ro6SPartial Differential Equations OverviewLaplace's Equation and Poisson's EquationDeriving the Heat Equation: A Parabolic Partial Differential Equation for Heat Energy ConservationThe Heat Equation and the Steady State Heat Distribution via Laplace's EquationDeriving the Heat Equation in 2D & 3D (& in N Dimensions!) with Contr..

https://www.youtube.com/playlist?list=PLMrJAkhIeNNQromC4WswpU1krLOq5Ro6SVector Calculus & Partial Differential EquationsDiv, Grad and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient and Curl]The Gradient Operator in Vector Calculus: Directions of Fastest Change & the Directional DerivativeThe Divergence of a Vector Field: Sources and SinksThe Curl of a Vector Field: Measurin..

https://www.youtube.com/playlist?list=PLMrJAkhIeNNQBRslPb7I0yTnES981R8Cg★ Integrals in the Complex Plane ★ ★ Complex Residues ★ ★ Cauchy Integral Formula ★Examples of Cauchy Integral FormulaExamples of Complex Integrals★ Bromwich Integrals and the the Inverse Laplace Transform ★

https://www.youtube.com/playlist?list=PLMrJAkhIeNNQBRslPb7I0yTnES981R8CgComplex Arithmetic, Euler's Formula & Polar CoordinatesEuler's formula, one of the most important formulas in all of mathematicsFunctions of complex variable, f(z)The Complex Logarithm, Log(z)Roots of Unity and Rational Powers of z★ Analytic Functions and Cauchy-Riemann Conditions ★★ Analytic Functions Solve Laplace's Equati..

https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPAhttps://faculty.washington.edu/sbrunton/me564/https://github.com/dynamicslab/databook_pythonNumerical Differentiation with Finite Difference DerivativesNumerical Differentiation: Second Derivatives and Differentiating DataNumerical Integration: Discrete Riemann Integrals and Trapezoid RuleNumerical Simulation of Ordinary Dif..

https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPAhttps://faculty.washington.edu/sbrunton/me564/https://github.com/dynamicslab/databook_python Steve Brunton 교수님. 그림을 엄청 잘 그리신다.10년을 강의하셨다는데, 예술의 경지에 이르셨구나. 와이프께서 Phase Portrait으로 T-shirt를 만들어주셨다고 한다. ㅎㅎ교수님께 정말 잘 어울리는 짝꿍을 만나셨군요! ^^What is a "Linear" Differential Equation?★ Linearizing Nonlinear Differential Equations Near a Fi..

https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPAhttps://faculty.washington.edu/sbrunton/me564/High-Order Ordinary Differential Equations with More Derivatives (from Physics)Solving General High-Order, Linear Ordinary Differential Equations (ODEs)Matrix Systems of Differential Equations★Motivating Eigenvalues and Eigenvectors with Differential Equations★★ Eigenvalues and E..