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工程數學 - 微分方程 | 台大開放式課程線上共學社群
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共享筆記
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1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. Chap. 1 Introduction to Differential Equations
2. Sections 2-1 and 2-6, Solution Curves and A Numerical Method
3. Sections 2-2 and 2-3 Separable Variables and Linear Equations
4. Section 2-3 Linear Equations
5. Chap. 3 Modeling with 1st Orer Differential Equations
6. Section 2-4 Exact Equations
7. Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions
8. Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations
9. Section 4-2 Reduction of Order
10. Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE
11. Section 4-5 Annilator Approach
12. Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation
13. Section 5-1 Applications of Linear DE
14. Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs
15. Section 5-3 Nonlinear Models
16. Chap. 8 Systems of Linear First-Order Differential Equations
17. Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points
18. Section 6-2 Solutions about Ordinary Points
19. Sections 6-3 and 6-4 Solutions About Singular Points
20. Section 7-1 Definition of the Laplace Transform
21. Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I)
22. Section 7-4 Properties of Laplace Transforms (II)
23. Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs
24. Section 11-1 Orthogonal Functions
25. Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series
26. Section 11-3 Fourier Cosine and Sine Series
27. Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms
28. Section 14-4 Fourier Transforms
29. Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential
30. Section 12-5 Laplace’s Equation
工程數學 - 微分方程 | 台大開放式課程線上共學社群
問題討論
作業任務
共享筆記
目錄大綱
(0/0)
1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. Chap. 1 Introduction to Differential Equations
2. Sections 2-1 and 2-6, Solution Curves and A Numerical Method
3. Sections 2-2 and 2-3 Separable Variables and Linear Equations
4. Section 2-3 Linear Equations
5. Chap. 3 Modeling with 1st Orer Differential Equations
6. Section 2-4 Exact Equations
7. Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions
8. Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations
9. Section 4-2 Reduction of Order
10. Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE
11. Section 4-5 Annilator Approach
12. Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation
13. Section 5-1 Applications of Linear DE
14. Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs
15. Section 5-3 Nonlinear Models
16. Chap. 8 Systems of Linear First-Order Differential Equations
17. Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points
18. Section 6-2 Solutions about Ordinary Points
19. Sections 6-3 and 6-4 Solutions About Singular Points
20. Section 7-1 Definition of the Laplace Transform
21. Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I)
22. Section 7-4 Properties of Laplace Transforms (II)
23. Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs
24. Section 11-1 Orthogonal Functions
25. Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series
26. Section 11-3 Fourier Cosine and Sine Series
27. Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms
28. Section 14-4 Fourier Transforms
29. Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential
30. Section 12-5 Laplace’s Equation
Sections 6-3 and 6-4 Solutions About Singular Points
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