工程數學 - 微分方程
-
課程簡介
- 資源下載
- Chap. 1 Introduction to Differential Equations
- Sections 2-1 and 2-6, Solution Curves and A Numerical Method
- Sections 2-2 and 2-3 Separable Variables and Linear Equations
- Section 2-3 Linear Equations
- Chap. 3 Modeling with 1st Orer Differential Equations
- Section 2-4 Exact Equations
- Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions
- Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations
- Section 4-2 Reduction of Order
- Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE
- Section 4-5 Annilator Approach
- Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation
- Section 5-1 Applications of Linear DE
- Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs
- Section 5-3 Nonlinear Models
- Chap. 8 Systems of Linear First-Order Differential Equations
- Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points
- Section 6-2 Solutions about Ordinary Points
- Sections 6-3 and 6-4 Solutions About Singular Points
- Section 7-1 Definition of the Laplace Transform
- Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I)
- Section 7-4 Properties of Laplace Transforms (II)
- Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs
- Section 11-1 Orthogonal Functions
- Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series
- Section 11-3 Fourier Cosine and Sine Series
- Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms
- Section 14-4 Fourier Transforms
- Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential
- Section 12-5 Laplace’s Equation
資源下載
直接點選列表項目下載單項或點選『選取』按鈕選取多項一次下載。
本課程所提供下載的內容由授課教師提供，部分單元共用講義：