工程數學 - 微分方程

  1. 課程簡介
  2. 資源下載
  3. Chap. 1 Introduction to Differential Equations
  4. Sections 2-1 and 2-6, Solution Curves and A Numerical Method
  5. Sections 2-2 and 2-3 Separable Variables and Linear Equations
  6. Section 2-3 Linear Equations
  7. Chap. 3 Modeling with 1st Orer Differential Equations
  8. Section 2-4 Exact Equations
  9. Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions
  10. Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations
  11. Section 4-2 Reduction of Order
  12. Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE
  13. Section 4-5 Annilator Approach
  14. Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation
  15. Section 5-1 Applications of Linear DE
  16. Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs
  17. Section 5-3 Nonlinear Models
  18. Chap. 8 Systems of Linear First-Order Differential Equations
  19. Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points
  20. Section 6-2 Solutions about Ordinary Points
  21. Sections 6-3 and 6-4 Solutions About Singular Points
  22. Section 7-1 Definition of the Laplace Transform
  23. Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I)
  24. Section 7-4 Properties of Laplace Transforms (II)
  25. Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs
  26. Section 11-1 Orthogonal Functions
  27. Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series
  28. Section 11-3 Fourier Cosine and Sine Series
  29. Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms
  30. Section 14-4 Fourier Transforms
  31. Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential
  32. Section 12-5 Laplace’s Equation
工程數學 - 微分方程

本月點閱｜4,092 次
授課日期｜2012 年 9 月

工程數學 - 微分方程 Differential Equations

丁建均

學分數：3學分

開課單位：電機工程學系

本課程共 30 講｜ 影片數量 30 教材數量 12 參考資料數量 0

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課程概述

(1) 一階微分方程的解法和應用
(2) 高階微分方程的解法和應用
(3) 微分方程的級數解
(4) 拉普拉斯轉換
(5) 傅立葉級數與傅立葉轉換
(6) 偏微分方程

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