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A Complete First Course in Differential Equations
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2021-12-7 08:25
2024-12-7 02:22
214
4.19 GB
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A
Complete
First
Course
in
Differential
Equations
文件列表
8. Nonlinear Systems/6. Review of Linear Systems Phase Portraits.mp4
111.85MB
1. Introduction to Differential Equations and their Applications/1. Object falling under the force of gravity.mp4
7.5MB
1. Introduction to Differential Equations and their Applications/2. Object falling under the force of gravity and air resistance.mp4
4.1MB
1. Introduction to Differential Equations and their Applications/3. Motion of a mass on a spring.mp4
9.27MB
1. Introduction to Differential Equations and their Applications/4. RLC Circuits.mp4
21.36MB
1. Introduction to Differential Equations and their Applications/5. Motion of a simple pendulum.mp4
8.24MB
1. Introduction to Differential Equations and their Applications/6. More Differential Equation Models.mp4
14.93MB
1. Introduction to Differential Equations and their Applications/7. Defining and Classifying Differential Equations.mp4
17.43MB
1. Introduction to Differential Equations and their Applications/8. Solutions of Differential Equations.mp4
8.46MB
1. Introduction to Differential Equations and their Applications/9. Explicit and Implicit Solutions.mp4
5.06MB
2. First Order Differential Equations/1. Slope Fields and Solution Curves.mp4
25.13MB
2. First Order Differential Equations/2. Existence and Uniqueness for first order Differential Equations.mp4
17.63MB
2. First Order Differential Equations/3. Separable Differential Equations.mp4
8.58MB
2. First Order Differential Equations/4. Separable Differential Equation Examples.mp4
6.78MB
2. First Order Differential Equations/5. Newtons Law of Cooling.mp4
9.55MB
2. First Order Differential Equations/6. Newtons Law of Cooling Homicide Victim Example.mp4
12.97MB
2. First Order Differential Equations/7. Torricellis Law.mp4
15.51MB
2. First Order Differential Equations/8. Torricellis Law Example.mp4
19.7MB
2. First Order Differential Equations/9. Linear First Order Differential Equations.mp4
20.04MB
2. First Order Differential Equations/10. Differential Equation for Mixing Problems.mp4
16.85MB
2. First Order Differential Equations/11. Mixing Problem Example.mp4
14.96MB
2. First Order Differential Equations/12. Exact Differential Equations.mp4
12.05MB
2. First Order Differential Equations/13. Exact Differential Equation Example 1.mp4
18.52MB
2. First Order Differential Equations/14. Exact Differential Equation Example 2.mp4
19.3MB
2. First Order Differential Equations/15. Introduction to Substitution Methods.mp4
9.9MB
2. First Order Differential Equations/16. Homogenous Differential Equations.mp4
11.99MB
2. First Order Differential Equations/17. Homogeneous Differential Equation Example 1.mp4
12.58MB
2. First Order Differential Equations/18. Homogeneous Differential Equation Example 2.mp4
3.97MB
2. First Order Differential Equations/19. Bernoulli Differential Equations.mp4
10.86MB
2. First Order Differential Equations/20. Reduction of a Second Order Differential Equation to a First Order One.mp4
13.22MB
3. Higher Order Differential Equations/1. Higher Order Differential Equations.mp4
6.56MB
3. Higher Order Differential Equations/2. Linear Differential Operators.mp4
5.59MB
3. Higher Order Differential Equations/3. Principal of Superposition.mp4
9.74MB
3. Higher Order Differential Equations/4. Existence and Uniqueness Theorem.mp4
4.07MB
3. Higher Order Differential Equations/5. The Wronskian Determinant.mp4
19.66MB
3. Higher Order Differential Equations/6. General Solutions of Second Order Linear Homogenous Equations.mp4
15.38MB
3. Higher Order Differential Equations/7. Summary of Theory for Second Order Homogenous Equations.mp4
4.35MB
3. Higher Order Differential Equations/8. Linear Independence and the Wronskian.mp4
23.12MB
3. Higher Order Differential Equations/9. Wronskian of Solutions.mp4
13.88MB
3. Higher Order Differential Equations/10. Theory of Higher Order Equations.mp4
15.82MB
3. Higher Order Differential Equations/11. Solving Second Order Equations with Constant Coefficients.mp4
5.13MB
3. Higher Order Differential Equations/12. Second Order Equations with Constant Coefficients Distinct Roots.mp4
4.3MB
3. Higher Order Differential Equations/13. Solving Second Order Equations with Constant Coefficients 1 Root.mp4
5.88MB
3. Higher Order Differential Equations/14. Solving Second Order Equations with Constant Coefficients Complex Roots.mp4
16.97MB
3. Higher Order Differential Equations/15. Method of Reduction.mp4
17.43MB
3. Higher Order Differential Equations/16. Higher Order Equations Distinct Real Roots.mp4
5.36MB
3. Higher Order Differential Equations/17. Higher Order Equations Repeated Real Roots.mp4
6.62MB
3. Higher Order Differential Equations/18. Higher Order Equations Distinct Complex Roots.mp4
3.5MB
3. Higher Order Differential Equations/19. Higher Order Equations Repeated Complex Roots.mp4
5.09MB
3. Higher Order Differential Equations/20. Higher Order Equations Example With All Cases.mp4
5.39MB
3. Higher Order Differential Equations/21. Nonhomogenous Differential Equations.mp4
7.78MB
3. Higher Order Differential Equations/22. Method of Undetermined Coefficients Example 1.mp4
13.56MB
3. Higher Order Differential Equations/23. Method of Undetermined Coefficients Example 2.mp4
5.07MB
3. Higher Order Differential Equations/24. Method of Undetermined Coefficients Example 3.mp4
8.78MB
3. Higher Order Differential Equations/25. Method of Undetermined Coefficients Avoiding Duplication.mp4
13.04MB
3. Higher Order Differential Equations/26. Method of Undetermined Coefficients In General.mp4
11.11MB
3. Higher Order Differential Equations/27. Method of Undetermined Coefficients Example 4.mp4
16.25MB
3. Higher Order Differential Equations/28. Method of Undetermined Coefficients Example 5.mp4
10.78MB
3. Higher Order Differential Equations/29. Method of Undetermined Coefficients Example 6.mp4
8.16MB
3. Higher Order Differential Equations/31. Reduction of Order The General Formula.mp4
13.53MB
3. Higher Order Differential Equations/32. Reduction of Order An Example.mp4
5.88MB
3. Higher Order Differential Equations/33. Variation of Parameters.mp4
26.46MB
3. Higher Order Differential Equations/34. Variation of Parameters An Example.mp4
9.22MB
4. Laplace Transforms/1. The Laplace Transform.mp4
10.76MB
4. Laplace Transforms/2. Laplace Transform Example Unit Step Function.mp4
6.95MB
4. Laplace Transforms/3. Laplace Transform Example First Derivative.mp4
6.31MB
4. Laplace Transforms/4. Laplace Transform Example Second Derivative.mp4
4.4MB
4. Laplace Transforms/5. Existence of the Laplace Transform.mp4
12.36MB
4. Laplace Transforms/6. Laplace Transform Example Exponential Function.mp4
2.94MB
4. Laplace Transforms/7. Laplace Transform Example Cosine, Sine, Hyperbolic Cosine and Sine.mp4
15.08MB
4. Laplace Transforms/8. The Inverse Laplace Transform.mp4
6.39MB
4. Laplace Transforms/9. Solving Differential Equations with Laplace Transform.mp4
12.91MB
4. Laplace Transforms/10. Solving Differential Equations with Laplace Transform.mp4
8.88MB
4. Laplace Transforms/11. Partial Fractions to Invert Transforms.mp4
17.77MB
4. Laplace Transforms/12. First Translation Theorem.mp4
8.54MB
4. Laplace Transforms/13. First Translation Theorem Inverting Transforms.mp4
11.04MB
4. Laplace Transforms/14. First Translation Theorem Inverting Transforms Completing Square.mp4
10.28MB
4. Laplace Transforms/15. Second Translation Theorem.mp4
6.16MB
4. Laplace Transforms/16. Piecewise Continuous Functions with Unit Step Functiond.mp4
15.24MB
4. Laplace Transforms/17. Laplace Transform of Piecewise Continuous Functions.mp4
7.74MB
4. Laplace Transforms/18. Laplace Transform of Piecewise Continuous Functions.mp4
14.62MB
4. Laplace Transforms/19. Solving an IVP with a Piecewise continuous Non-homogenous Term.mp4
44.3MB
4. Laplace Transforms/20. Solving an IVP with a Piecewise continuous Non-homogenous Term.mp4
35.2MB
4. Laplace Transforms/22. Derivatives of Transforms.mp4
20.44MB
4. Laplace Transforms/23. Laplace Transform of Piecewise Periodic Functions.mp4
14.08MB
4. Laplace Transforms/24. Solving an IVP with a Piecewise Periodic Non-homogenous Term.mp4
39.55MB
4. Laplace Transforms/25. The Dirac Delta Function.mp4
32.38MB
4. Laplace Transforms/26. Solving an IVP with a Delta Function Term.mp4
23.45MB
4. Laplace Transforms/27. Solving an IVP with Multiple Delta Function Term.mp4
12.8MB
4. Laplace Transforms/28. The Convolution Theorem.mp4
16.56MB
4. Laplace Transforms/29. Convolution Theorem Finding Integral Solutions.mp4
8.07MB
4. Laplace Transforms/30. Convolution Theorem Finding Integral Solutions.mp4
14.05MB
5. Power Series Methods/2. Review of Second Order Equations (Constant Coefficients) and Power Series.mp4
45.95MB
5. Power Series Methods/3. Solving Airy's Differential Equation with Power Series Solution.mp4
51.1MB
5. Power Series Methods/4. Plotting Solutions of Airy's DE and using Maple to find Series Solutions.mp4
77.59MB
5. Power Series Methods/5. Finding a Power Series Solution, Using Maple as well, Ordinary Points.mp4
53.68MB
5. Power Series Methods/6. Ordinary Points. Chebyshev's Differential Equation.mp4
48.59MB
5. Power Series Methods/7. Previous Video Continued Chebyshev Polynomials.mp4
15.88MB
5. Power Series Methods/10. Singular Points. Regular Singular Points. Euler's Differential Equation.mp4
41.22MB
5. Power Series Methods/11. Euler's Differential Equation Continued.mp4
29.28MB
5. Power Series Methods/12. Frobenius Series Solutions and Beginning of Example.mp4
44.17MB
5. Power Series Methods/13. Frobenius Series Solution Roots Differing by Non Integer.mp4
39.27MB
5. Power Series Methods/14. Frobenius Series Roots Differing by an Integer - 2 Frobenius Solutions.mp4
13.5MB
5. Power Series Methods/15. Roots Differing by an Integer - 1 Frobenius Solution Continued.mp4
51.48MB
5. Power Series Methods/16. Frobenius Series Roots Differing by an Integer- 1 Frobenius Solution.mp4
24.53MB
5. Power Series Methods/18. Method of Reduction with Frobenius Series.mp4
20.08MB
5. Power Series Methods/19. Method of Reduction with Frobenius Series Continued.mp4
58.39MB
6. Partial Differential Equations and Fourier Series/2. Intro to PDEs.mp4
52.18MB
6. Partial Differential Equations and Fourier Series/3. Separation of Variables Heat Equation - Zero B.C..mp4
33.93MB
6. Partial Differential Equations and Fourier Series/4. Heat Equation - Zero B.C. - Sine Fourier Series.mp4
40.57MB
6. Partial Differential Equations and Fourier Series/5. Heat Equation - Zero B.C. - Sine Fourier Series Continued.mp4
57.02MB
6. Partial Differential Equations and Fourier Series/6. Sine Fourier Series Continued and Heat Equation.mp4
31.22MB
6. Partial Differential Equations and Fourier Series/7. Heat Equation - Zero Flux B.C. - Cosine Fourier Series.mp4
54.1MB
6. Partial Differential Equations and Fourier Series/8. Heat Equation - Periodic B.C. General Fourier Series.mp4
43.35MB
6. Partial Differential Equations and Fourier Series/9. Fourier Series Continued.mp4
53.12MB
6. Partial Differential Equations and Fourier Series/11. Fourier Series of Piecewise Continuous Function.mp4
63.65MB
6. Partial Differential Equations and Fourier Series/12. Fourier Series - Convergence.mp4
44.94MB
6. Partial Differential Equations and Fourier Series/13. Cosine and Sine Fourier Series - Even and Odd Extensions.mp4
59.21MB
6. Partial Differential Equations and Fourier Series/14. Removing Inhomogeneous Terms in PDE Heat Equation.mp4
62.36MB
6. Partial Differential Equations and Fourier Series/15. Removing Inhomogeneous Terns in Boundary Conditions Heat Equation.mp4
17.53MB
6. Partial Differential Equations and Fourier Series/16. Wave Equation.mp4
57.62MB
7. Sturm-Liouville Eigenvalue Problems and Theory/2. Self Adjoint Operators.mp4
68.58MB
7. Sturm-Liouville Eigenvalue Problems and Theory/3. Regular Sturm-Liouville Eigenvalue Problems.mp4
34.43MB
7. Sturm-Liouville Eigenvalue Problems and Theory/4. Regular Sturm-Liouville Operator is Self Adjoint.mp4
40.59MB
7. Sturm-Liouville Eigenvalue Problems and Theory/5. Regular Sturm-Liouville Orthogonal Eigen Functions and Real Eigenvalues.mp4
32.74MB
7. Sturm-Liouville Eigenvalue Problems and Theory/6. Regular Sturm-Liouville Theorem and Eigen Function Expansions.mp4
37.84MB
7. Sturm-Liouville Eigenvalue Problems and Theory/7. Converting DEs to Sturm Liouville FOrm.mp4
33.06MB
7. Sturm-Liouville Eigenvalue Problems and Theory/8. Sturm Liouville Example with Euler's Equation.mp4
44.11MB
7. Sturm-Liouville Eigenvalue Problems and Theory/9. Nonhomogenous Sturm Liouville Problem.mp4
48.12MB
8. Nonlinear Systems/1. Intro. Ex. of First Order Nonlinear DEs Equilibriums, Stability, Maple!.mp4
71.01MB
8. Nonlinear Systems/2. Intro. Ex. of First Order DEs Equilibriums, Stability, Maple! Continued....mp4
46.48MB
8. Nonlinear Systems/3. Logistic growth with constant harvest, equilib. points, stability, bifurcation.mp4
53.82MB
8. Nonlinear Systems/4. Logistic growth with constant harvest, numerical solve Maple.mp4
13.84MB
8. Nonlinear Systems/5. Logistic periodic harvesting, equilibrium and stability defn. for systems.mp4
56.57MB
8. Nonlinear Systems/7. Linearization of Nonlinear System - Jacobian - Example as well.mp4
62.62MB
8. Nonlinear Systems/8. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.mp4
67.17MB
8. Nonlinear Systems/9. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.mp4
58.65MB
8. Nonlinear Systems/10. Hopf Bifurcation Part 2.mp4
71.39MB
8. Nonlinear Systems/11. Hopf Bifurcation Part 2.mp4
68.72MB
9. Numerical Solutions to Differential Equations/1. Intro to Euler's Method.mp4
44.68MB
9. Numerical Solutions to Differential Equations/2. Euler's Method Example (by hand).mp4
32.78MB
9. Numerical Solutions to Differential Equations/3. Euler's Method in Maple.mp4
20.06MB
9. Numerical Solutions to Differential Equations/4. Euler's Method in Excel.mp4
15.07MB
9. Numerical Solutions to Differential Equations/5. Euler's Method In Maple (Another Example) and Dsolve Numeric in Maple.mp4
51.65MB
9. Numerical Solutions to Differential Equations/6. Stability of Euler's Method Part 1.mp4
13.16MB
9. Numerical Solutions to Differential Equations/7. Stability of Euler's Method Part 2.mp4
42.83MB
9. Numerical Solutions to Differential Equations/8. BackwardImplicit Euler Part 1.mp4
82.94MB
9. Numerical Solutions to Differential Equations/9. Implicit Trapezoid Stability.mp4
57.04MB
9. Numerical Solutions to Differential Equations/10. Accuracy of Euler Method.mp4
35.7MB
9. Numerical Solutions to Differential Equations/11. Accuracy of Implicit Trapezoid Method.mp4
26.58MB
9. Numerical Solutions to Differential Equations/12. Hints for an assignment #7. Random Review Stuff. For Students in Math 3120.mp4
80.45MB
9. Numerical Solutions to Differential Equations/13. Coding Implicit Trapezoid.mp4
37.66MB
9. Numerical Solutions to Differential Equations/14. Heun's Method.mp4
9.71MB
9. Numerical Solutions to Differential Equations/15. Runge Kutta (RK2) Derivation.mp4
55.77MB
9. Numerical Solutions to Differential Equations/16. Runge Kutta (RK4) Method.mp4
67.13MB
9. Numerical Solutions to Differential Equations/17. Review of some Numerical Stability Concepts and the Methods we have looked at.mp4
24.32MB
9. Numerical Solutions to Differential Equations/18. Polynomial Interpolation (Vandermonde Matrix).mp4
27.12MB
9. Numerical Solutions to Differential Equations/19. Newton Divided Difference Polynomial Interpolation.mp4
40.9MB
9. Numerical Solutions to Differential Equations/20. Backward Differentiation BDF1.mp4
28.33MB
9. Numerical Solutions to Differential Equations/21. Backward Differentiation BDF2.mp4
28.12MB
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