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A Complete First Course in Differential Equations

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视频 2021-12-7 08:25 2024-12-23 21:26 221 4.19 GB 160
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A Complete First Course in Differential Equations

文件列表
  1. 8. Nonlinear Systems/6. Review of Linear Systems Phase Portraits.mp4111.85MB
  2. 1. Introduction to Differential Equations and their Applications/1. Object falling under the force of gravity.mp47.5MB
  3. 1. Introduction to Differential Equations and their Applications/2. Object falling under the force of gravity and air resistance.mp44.1MB
  4. 1. Introduction to Differential Equations and their Applications/3. Motion of a mass on a spring.mp49.27MB
  5. 1. Introduction to Differential Equations and their Applications/4. RLC Circuits.mp421.36MB
  6. 1. Introduction to Differential Equations and their Applications/5. Motion of a simple pendulum.mp48.24MB
  7. 1. Introduction to Differential Equations and their Applications/6. More Differential Equation Models.mp414.93MB
  8. 1. Introduction to Differential Equations and their Applications/7. Defining and Classifying Differential Equations.mp417.43MB
  9. 1. Introduction to Differential Equations and their Applications/8. Solutions of Differential Equations.mp48.46MB
  10. 1. Introduction to Differential Equations and their Applications/9. Explicit and Implicit Solutions.mp45.06MB
  11. 2. First Order Differential Equations/1. Slope Fields and Solution Curves.mp425.13MB
  12. 2. First Order Differential Equations/2. Existence and Uniqueness for first order Differential Equations.mp417.63MB
  13. 2. First Order Differential Equations/3. Separable Differential Equations.mp48.58MB
  14. 2. First Order Differential Equations/4. Separable Differential Equation Examples.mp46.78MB
  15. 2. First Order Differential Equations/5. Newtons Law of Cooling.mp49.55MB
  16. 2. First Order Differential Equations/6. Newtons Law of Cooling Homicide Victim Example.mp412.97MB
  17. 2. First Order Differential Equations/7. Torricellis Law.mp415.51MB
  18. 2. First Order Differential Equations/8. Torricellis Law Example.mp419.7MB
  19. 2. First Order Differential Equations/9. Linear First Order Differential Equations.mp420.04MB
  20. 2. First Order Differential Equations/10. Differential Equation for Mixing Problems.mp416.85MB
  21. 2. First Order Differential Equations/11. Mixing Problem Example.mp414.96MB
  22. 2. First Order Differential Equations/12. Exact Differential Equations.mp412.05MB
  23. 2. First Order Differential Equations/13. Exact Differential Equation Example 1.mp418.52MB
  24. 2. First Order Differential Equations/14. Exact Differential Equation Example 2.mp419.3MB
  25. 2. First Order Differential Equations/15. Introduction to Substitution Methods.mp49.9MB
  26. 2. First Order Differential Equations/16. Homogenous Differential Equations.mp411.99MB
  27. 2. First Order Differential Equations/17. Homogeneous Differential Equation Example 1.mp412.58MB
  28. 2. First Order Differential Equations/18. Homogeneous Differential Equation Example 2.mp43.97MB
  29. 2. First Order Differential Equations/19. Bernoulli Differential Equations.mp410.86MB
  30. 2. First Order Differential Equations/20. Reduction of a Second Order Differential Equation to a First Order One.mp413.22MB
  31. 3. Higher Order Differential Equations/1. Higher Order Differential Equations.mp46.56MB
  32. 3. Higher Order Differential Equations/2. Linear Differential Operators.mp45.59MB
  33. 3. Higher Order Differential Equations/3. Principal of Superposition.mp49.74MB
  34. 3. Higher Order Differential Equations/4. Existence and Uniqueness Theorem.mp44.07MB
  35. 3. Higher Order Differential Equations/5. The Wronskian Determinant.mp419.66MB
  36. 3. Higher Order Differential Equations/6. General Solutions of Second Order Linear Homogenous Equations.mp415.38MB
  37. 3. Higher Order Differential Equations/7. Summary of Theory for Second Order Homogenous Equations.mp44.35MB
  38. 3. Higher Order Differential Equations/8. Linear Independence and the Wronskian.mp423.12MB
  39. 3. Higher Order Differential Equations/9. Wronskian of Solutions.mp413.88MB
  40. 3. Higher Order Differential Equations/10. Theory of Higher Order Equations.mp415.82MB
  41. 3. Higher Order Differential Equations/11. Solving Second Order Equations with Constant Coefficients.mp45.13MB
  42. 3. Higher Order Differential Equations/12. Second Order Equations with Constant Coefficients Distinct Roots.mp44.3MB
  43. 3. Higher Order Differential Equations/13. Solving Second Order Equations with Constant Coefficients 1 Root.mp45.88MB
  44. 3. Higher Order Differential Equations/14. Solving Second Order Equations with Constant Coefficients Complex Roots.mp416.97MB
  45. 3. Higher Order Differential Equations/15. Method of Reduction.mp417.43MB
  46. 3. Higher Order Differential Equations/16. Higher Order Equations Distinct Real Roots.mp45.36MB
  47. 3. Higher Order Differential Equations/17. Higher Order Equations Repeated Real Roots.mp46.62MB
  48. 3. Higher Order Differential Equations/18. Higher Order Equations Distinct Complex Roots.mp43.5MB
  49. 3. Higher Order Differential Equations/19. Higher Order Equations Repeated Complex Roots.mp45.09MB
  50. 3. Higher Order Differential Equations/20. Higher Order Equations Example With All Cases.mp45.39MB
  51. 3. Higher Order Differential Equations/21. Nonhomogenous Differential Equations.mp47.78MB
  52. 3. Higher Order Differential Equations/22. Method of Undetermined Coefficients Example 1.mp413.56MB
  53. 3. Higher Order Differential Equations/23. Method of Undetermined Coefficients Example 2.mp45.07MB
  54. 3. Higher Order Differential Equations/24. Method of Undetermined Coefficients Example 3.mp48.78MB
  55. 3. Higher Order Differential Equations/25. Method of Undetermined Coefficients Avoiding Duplication.mp413.04MB
  56. 3. Higher Order Differential Equations/26. Method of Undetermined Coefficients In General.mp411.11MB
  57. 3. Higher Order Differential Equations/27. Method of Undetermined Coefficients Example 4.mp416.25MB
  58. 3. Higher Order Differential Equations/28. Method of Undetermined Coefficients Example 5.mp410.78MB
  59. 3. Higher Order Differential Equations/29. Method of Undetermined Coefficients Example 6.mp48.16MB
  60. 3. Higher Order Differential Equations/31. Reduction of Order The General Formula.mp413.53MB
  61. 3. Higher Order Differential Equations/32. Reduction of Order An Example.mp45.88MB
  62. 3. Higher Order Differential Equations/33. Variation of Parameters.mp426.46MB
  63. 3. Higher Order Differential Equations/34. Variation of Parameters An Example.mp49.22MB
  64. 4. Laplace Transforms/1. The Laplace Transform.mp410.76MB
  65. 4. Laplace Transforms/2. Laplace Transform Example Unit Step Function.mp46.95MB
  66. 4. Laplace Transforms/3. Laplace Transform Example First Derivative.mp46.31MB
  67. 4. Laplace Transforms/4. Laplace Transform Example Second Derivative.mp44.4MB
  68. 4. Laplace Transforms/5. Existence of the Laplace Transform.mp412.36MB
  69. 4. Laplace Transforms/6. Laplace Transform Example Exponential Function.mp42.94MB
  70. 4. Laplace Transforms/7. Laplace Transform Example Cosine, Sine, Hyperbolic Cosine and Sine.mp415.08MB
  71. 4. Laplace Transforms/8. The Inverse Laplace Transform.mp46.39MB
  72. 4. Laplace Transforms/9. Solving Differential Equations with Laplace Transform.mp412.91MB
  73. 4. Laplace Transforms/10. Solving Differential Equations with Laplace Transform.mp48.88MB
  74. 4. Laplace Transforms/11. Partial Fractions to Invert Transforms.mp417.77MB
  75. 4. Laplace Transforms/12. First Translation Theorem.mp48.54MB
  76. 4. Laplace Transforms/13. First Translation Theorem Inverting Transforms.mp411.04MB
  77. 4. Laplace Transforms/14. First Translation Theorem Inverting Transforms Completing Square.mp410.28MB
  78. 4. Laplace Transforms/15. Second Translation Theorem.mp46.16MB
  79. 4. Laplace Transforms/16. Piecewise Continuous Functions with Unit Step Functiond.mp415.24MB
  80. 4. Laplace Transforms/17. Laplace Transform of Piecewise Continuous Functions.mp47.74MB
  81. 4. Laplace Transforms/18. Laplace Transform of Piecewise Continuous Functions.mp414.62MB
  82. 4. Laplace Transforms/19. Solving an IVP with a Piecewise continuous Non-homogenous Term.mp444.3MB
  83. 4. Laplace Transforms/20. Solving an IVP with a Piecewise continuous Non-homogenous Term.mp435.2MB
  84. 4. Laplace Transforms/22. Derivatives of Transforms.mp420.44MB
  85. 4. Laplace Transforms/23. Laplace Transform of Piecewise Periodic Functions.mp414.08MB
  86. 4. Laplace Transforms/24. Solving an IVP with a Piecewise Periodic Non-homogenous Term.mp439.55MB
  87. 4. Laplace Transforms/25. The Dirac Delta Function.mp432.38MB
  88. 4. Laplace Transforms/26. Solving an IVP with a Delta Function Term.mp423.45MB
  89. 4. Laplace Transforms/27. Solving an IVP with Multiple Delta Function Term.mp412.8MB
  90. 4. Laplace Transforms/28. The Convolution Theorem.mp416.56MB
  91. 4. Laplace Transforms/29. Convolution Theorem Finding Integral Solutions.mp48.07MB
  92. 4. Laplace Transforms/30. Convolution Theorem Finding Integral Solutions.mp414.05MB
  93. 5. Power Series Methods/2. Review of Second Order Equations (Constant Coefficients) and Power Series.mp445.95MB
  94. 5. Power Series Methods/3. Solving Airy's Differential Equation with Power Series Solution.mp451.1MB
  95. 5. Power Series Methods/4. Plotting Solutions of Airy's DE and using Maple to find Series Solutions.mp477.59MB
  96. 5. Power Series Methods/5. Finding a Power Series Solution, Using Maple as well, Ordinary Points.mp453.68MB
  97. 5. Power Series Methods/6. Ordinary Points. Chebyshev's Differential Equation.mp448.59MB
  98. 5. Power Series Methods/7. Previous Video Continued Chebyshev Polynomials.mp415.88MB
  99. 5. Power Series Methods/10. Singular Points. Regular Singular Points. Euler's Differential Equation.mp441.22MB
  100. 5. Power Series Methods/11. Euler's Differential Equation Continued.mp429.28MB
  101. 5. Power Series Methods/12. Frobenius Series Solutions and Beginning of Example.mp444.17MB
  102. 5. Power Series Methods/13. Frobenius Series Solution Roots Differing by Non Integer.mp439.27MB
  103. 5. Power Series Methods/14. Frobenius Series Roots Differing by an Integer - 2 Frobenius Solutions.mp413.5MB
  104. 5. Power Series Methods/15. Roots Differing by an Integer - 1 Frobenius Solution Continued.mp451.48MB
  105. 5. Power Series Methods/16. Frobenius Series Roots Differing by an Integer- 1 Frobenius Solution.mp424.53MB
  106. 5. Power Series Methods/18. Method of Reduction with Frobenius Series.mp420.08MB
  107. 5. Power Series Methods/19. Method of Reduction with Frobenius Series Continued.mp458.39MB
  108. 6. Partial Differential Equations and Fourier Series/2. Intro to PDEs.mp452.18MB
  109. 6. Partial Differential Equations and Fourier Series/3. Separation of Variables Heat Equation - Zero B.C..mp433.93MB
  110. 6. Partial Differential Equations and Fourier Series/4. Heat Equation - Zero B.C. - Sine Fourier Series.mp440.57MB
  111. 6. Partial Differential Equations and Fourier Series/5. Heat Equation - Zero B.C. - Sine Fourier Series Continued.mp457.02MB
  112. 6. Partial Differential Equations and Fourier Series/6. Sine Fourier Series Continued and Heat Equation.mp431.22MB
  113. 6. Partial Differential Equations and Fourier Series/7. Heat Equation - Zero Flux B.C. - Cosine Fourier Series.mp454.1MB
  114. 6. Partial Differential Equations and Fourier Series/8. Heat Equation - Periodic B.C. General Fourier Series.mp443.35MB
  115. 6. Partial Differential Equations and Fourier Series/9. Fourier Series Continued.mp453.12MB
  116. 6. Partial Differential Equations and Fourier Series/11. Fourier Series of Piecewise Continuous Function.mp463.65MB
  117. 6. Partial Differential Equations and Fourier Series/12. Fourier Series - Convergence.mp444.94MB
  118. 6. Partial Differential Equations and Fourier Series/13. Cosine and Sine Fourier Series - Even and Odd Extensions.mp459.21MB
  119. 6. Partial Differential Equations and Fourier Series/14. Removing Inhomogeneous Terms in PDE Heat Equation.mp462.36MB
  120. 6. Partial Differential Equations and Fourier Series/15. Removing Inhomogeneous Terns in Boundary Conditions Heat Equation.mp417.53MB
  121. 6. Partial Differential Equations and Fourier Series/16. Wave Equation.mp457.62MB
  122. 7. Sturm-Liouville Eigenvalue Problems and Theory/2. Self Adjoint Operators.mp468.58MB
  123. 7. Sturm-Liouville Eigenvalue Problems and Theory/3. Regular Sturm-Liouville Eigenvalue Problems.mp434.43MB
  124. 7. Sturm-Liouville Eigenvalue Problems and Theory/4. Regular Sturm-Liouville Operator is Self Adjoint.mp440.59MB
  125. 7. Sturm-Liouville Eigenvalue Problems and Theory/5. Regular Sturm-Liouville Orthogonal Eigen Functions and Real Eigenvalues.mp432.74MB
  126. 7. Sturm-Liouville Eigenvalue Problems and Theory/6. Regular Sturm-Liouville Theorem and Eigen Function Expansions.mp437.84MB
  127. 7. Sturm-Liouville Eigenvalue Problems and Theory/7. Converting DEs to Sturm Liouville FOrm.mp433.06MB
  128. 7. Sturm-Liouville Eigenvalue Problems and Theory/8. Sturm Liouville Example with Euler's Equation.mp444.11MB
  129. 7. Sturm-Liouville Eigenvalue Problems and Theory/9. Nonhomogenous Sturm Liouville Problem.mp448.12MB
  130. 8. Nonlinear Systems/1. Intro. Ex. of First Order Nonlinear DEs Equilibriums, Stability, Maple!.mp471.01MB
  131. 8. Nonlinear Systems/2. Intro. Ex. of First Order DEs Equilibriums, Stability, Maple! Continued....mp446.48MB
  132. 8. Nonlinear Systems/3. Logistic growth with constant harvest, equilib. points, stability, bifurcation.mp453.82MB
  133. 8. Nonlinear Systems/4. Logistic growth with constant harvest, numerical solve Maple.mp413.84MB
  134. 8. Nonlinear Systems/5. Logistic periodic harvesting, equilibrium and stability defn. for systems.mp456.57MB
  135. 8. Nonlinear Systems/7. Linearization of Nonlinear System - Jacobian - Example as well.mp462.62MB
  136. 8. Nonlinear Systems/8. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.mp467.17MB
  137. 8. Nonlinear Systems/9. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.mp458.65MB
  138. 8. Nonlinear Systems/10. Hopf Bifurcation Part 2.mp471.39MB
  139. 8. Nonlinear Systems/11. Hopf Bifurcation Part 2.mp468.72MB
  140. 9. Numerical Solutions to Differential Equations/1. Intro to Euler's Method.mp444.68MB
  141. 9. Numerical Solutions to Differential Equations/2. Euler's Method Example (by hand).mp432.78MB
  142. 9. Numerical Solutions to Differential Equations/3. Euler's Method in Maple.mp420.06MB
  143. 9. Numerical Solutions to Differential Equations/4. Euler's Method in Excel.mp415.07MB
  144. 9. Numerical Solutions to Differential Equations/5. Euler's Method In Maple (Another Example) and Dsolve Numeric in Maple.mp451.65MB
  145. 9. Numerical Solutions to Differential Equations/6. Stability of Euler's Method Part 1.mp413.16MB
  146. 9. Numerical Solutions to Differential Equations/7. Stability of Euler's Method Part 2.mp442.83MB
  147. 9. Numerical Solutions to Differential Equations/8. BackwardImplicit Euler Part 1.mp482.94MB
  148. 9. Numerical Solutions to Differential Equations/9. Implicit Trapezoid Stability.mp457.04MB
  149. 9. Numerical Solutions to Differential Equations/10. Accuracy of Euler Method.mp435.7MB
  150. 9. Numerical Solutions to Differential Equations/11. Accuracy of Implicit Trapezoid Method.mp426.58MB
  151. 9. Numerical Solutions to Differential Equations/12. Hints for an assignment #7. Random Review Stuff. For Students in Math 3120.mp480.45MB
  152. 9. Numerical Solutions to Differential Equations/13. Coding Implicit Trapezoid.mp437.66MB
  153. 9. Numerical Solutions to Differential Equations/14. Heun's Method.mp49.71MB
  154. 9. Numerical Solutions to Differential Equations/15. Runge Kutta (RK2) Derivation.mp455.77MB
  155. 9. Numerical Solutions to Differential Equations/16. Runge Kutta (RK4) Method.mp467.13MB
  156. 9. Numerical Solutions to Differential Equations/17. Review of some Numerical Stability Concepts and the Methods we have looked at.mp424.32MB
  157. 9. Numerical Solutions to Differential Equations/18. Polynomial Interpolation (Vandermonde Matrix).mp427.12MB
  158. 9. Numerical Solutions to Differential Equations/19. Newton Divided Difference Polynomial Interpolation.mp440.9MB
  159. 9. Numerical Solutions to Differential Equations/20. Backward Differentiation BDF1.mp428.33MB
  160. 9. Numerical Solutions to Differential Equations/21. Backward Differentiation BDF2.mp428.12MB
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