A University Level Introductory Course in Differential Equations
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课程内容
Introduction to Differential Equations and their Applications First Order Differential Equations Higher Order Differential Equations Laplace Transforms Power Series Methods Partial Differential Equations and Fourier Series Sturm-Liouville Eigenvalue Problems and Theory Nonlinear Systems Numerical Solutions to Differential Equations
Welcome Video and Downloadable Files System Modeling State Space Representation Time Response Block Diagrams Stability and Routh’s Criterion Root Locus Steady State Error Modeling Electrical Circuits
Complete Differential Equations Course with TONS of worked problems and assignments:)
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课程内容
Introduction to the Course Separable Differential Equations First Order Linear Differential Equations Exact Differential Equations First Order Homogeneous Differential Equations Bernoulli Differential Equations Differential Equations of the form dy/dx = f(Ax + By + C) Introduction to the Theory of Higher Order Equations Solving Higher Order Homogeneous Linear Differential Equations Finding the Differential Equation given the Solution The Method of Undetermined Coefficients Variation of Parameters Cauchy-Euler Differential Equations The Definition of the Laplace Transform Computing Laplace Transforms using Formulas Computing Inverse Laplace Transforms using Formulas Computing Inverse Laplace Transforms using Partial Fractions The First Translation Theorem(Shifting Theorem) Laplace Transforms using Product to Sum Identitites The Derivative of Transforms Theorem Solving Differential Equations with Laplace Transforms The Unit Step Function The Dirac Delta Function The Second Translation Theorem Differential Equations with Dirac Delta Power Series and Differential Equations
“Learn everything from Differential Equations, then test your knowledge with 680+ practice questions”
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课程内容
Getting started First order equations Second order equations Modeling with differential equations Series solutions Laplace transforms Systems of differential equations Higher order equations Fourier series Partial differential equations Final exam and wrap-up
“*UPDATED* This Calculus 3 course is for Pre-Calculus, Calculus 1 and Calculus 2 Students”
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课程内容
“Become a Calculus 3 Master (Multivariable Calculus) 3d Coordinate System | Calculus 3 Vector Calculus | Calculus 3 Important basic concepts to understand Calculus 3 Partial Derivatives Differential Equations First order differential equations – Types Second Order Differential Equations Gradient, Divergence and Curl Green’s Theorem, Gauss Divergence Theorem and Strokes Theorem Calculus 3 | Review Assignment for Practice”
Most clear and informative Ordinary Differential Equations course out there! Dozens of Examples and Exercises.
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课程内容
“First Order Linear Equations – Introduction First Order Linear Equations – Separable Equations First Order Linear Equations – Homogeneous Equations First Order Linear Equations – Homogeneous After Substitution First Order Linear Equations – Exact Equations First Order Linear Equations – Integration Factor First Order Linear Equations – Linear Equations First Order Linear Equations – Bernoulli Equations First Order Linear Equations – Ricatti Equations First Order Linear Equations – Existence And Uniqueness Second Order Linear Equations – Missing X Or Y, Reduction Of Order Second Order Linear Equations – Linear, Homogeneous, Constant Coefficients Linear, Nonhomogeneous, Constant Coefficients – Method Of Undetermined Coefficie Linear, Nonhomogeneous, Constant Coefficients – Method Of Variation Of Parameter Second Order Linear Equations – Euler’s Equation SOLE – Linear, Homogeneous, Non-Constant Coefficients – 2nd Solution Method Second Order Linear Equations – The Wronskian And Its Uses Second Order Linear Equations – Sturm-Liouville Problems N-th Order Linear Equations – Linear, Homogeneous, Constant Coefficients N-th Order Linear Equations – Method Of Undetermined Coefficients N-th Order Linear Equations – The Wronskian And Its Uses Systems Of Linear ODEs – Linear Algebra – Eigenvalues And Eigenvectors S.O.L ODEs – 1st Order Homogeneous With Constant Coefficients – Diagonalization 1st Order Nonhomogeneous With Constant Coefficients – Variation Of Parameters Systems of Linear ODEs – The Substitution Method Solving Lin. ODEs w/ Power Series – Nonhomogeneous Equation Around Regular Point Lin. ODEs w/ Power Series – Homogeneous Equation Around Regular-Singular Point The Laplace Transform – The Laplace Transform The Laplace Transform – The Inverse Laplace Transform The Laplace Transform – Solving ODEs With The Laplace Transform Word Problems Phase Planes – Phase Planes Graphical And Numerical Methods – Graphical And Numerical Methods”
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