工程數學 III | NCUx雲端課程

課程形式

線上

課程名稱

工程數學 III (02029)

課程編號

421

課程期間

2023-02-13 ~

課程類別

自然科學

時數

9 (小時)

修課人數

42

簡介

Part (I) Fourier Analysis

1 Periodic Function

2 Fourier Series

3 Coefficient of Fourier Series

4 Even and Odd Function

5 Half Range Expansion

6.1 Complex Fourier Series

6.2 Sturm Liouville Problem

7 Orthogonality of Eigenfuncion ynx Special Case

8 Orthogonality of Eigenfuncion ynx General Case

9 2 nd Order ODEs with Homogeneous B.C.

10 2 nd Order ODEs with Non Homogeneous B.C.

11 Fourier Integrals

Part (II) Ordinary Differential Equations

Ch1. 1 st Order ODEs with Constant Coefficients

Ch2. 2 nd Order ODEs with Constant Coefficients

Part (III) Partial Differential Equations

Chapter 1 Introduction and Derivations

1.1 Heat Equation

1.2 Wave Equation

1.3 Laplace Equation

Chapter 2 Non-Homogeneous Heat Equation

2.1 Non-Homogeneous Heat Equation with Homogeneous B.C.

2.2 Non-Homogeneous Heat Equation with Non-Homogeneous B.C.

Chapter 3 Non-Homogeneous Wave Equation

3.1 Non-Homogeneous Wave Equation with Homogeneous B.C.

3.2 Non-Homogeneous Wave Equation with Non-Homogeneous B.C.

Chapter 4 Non-Homogeneous Laplace Equation

4.1 Non-Homogeneous Laplace Equation with Homogeneous B.C.

4.2 Non-Homogeneous Laplace Equation with Non-Homogeneous B.C.

Chapter 5 Nonlinear 1 st Order PDEs

任課教授

李顯智老師
Email : hinchili@ncu.edu.tw
分機：03-4227151轉34105

相關連結 : 國立中央大學土木工程系

報名資訊

報名期間

開始: 2023-02-10

總人數限制

無限制

報名費用

0

其他資訊

承辦人

蔡振瑋 / 教學發展中心 (電子郵件: dwtsai@ncu.edu.tw, 電話: 57137)

鄭雅軒 / 課務組 (電子郵件: yahsuan@ncu.edu.tw, 電話: 57138)

開課單位

NCUx線上課程

課程 QR code

https://ncuxms.ncu.edu.tw/course/421

課程教材

1.
Part I
1. 1.1
  13:08
  
  NCUxOCW-工程數學III(Engineering Math III)-10.1 Periodic Function
2. 1.2
  05:24
  
  NCUxOCW-工程數學III(Engineering Math III)-10.2 Fourier Series
3. 1.3
  19:30
  
  NCUxOCW-工程數學III(Engineering Math III)-10.3 Fourier Series 的係數
4. 1.4
  09:11
  
  NCUxOCW-工程數學III(Engineering Math III)-10.4 Even and Odd Function
5. 1.5
  19:16
  
  NCUxOCW-工程數學III(Engineering Math III)-10.5 Half Range Expansion
6. 1.6
  17:48
  
  NCUxOCW-工程數學III(Engineering Math III)-10.6 Complex Fourier Series
7. 1.7
  1:02:09
  
  NCUxOCW-工程數學III(Engineering Math III)-10.6.2 Sturm Liouville Problems
8. 1.8
  11:06
  
  NCUxOCW-工程數學III(Engineering Math III)-10.7 Orthogonality of Eigenfunction ynx Special Case
9. 1.9
  14:09
  
  NCUxOCW-工程數學III(Engineering Math III)-10.8 Orthogonality of Eigenfunction ynx General Case
10. 1.10
  34:06
  
  NCUxOCW-工程數學III(Engineering Math III)-10.9 2nd Order ODEs with Homogeneous B C
11. 1.11
  12:42
  
  NCUxOCW-工程數學III(Engineering Math III)-10.10 2nd Order ODEs with Non Homogeneous B C
12. 1.12
  1:10:22
  
  NCUxOCW-工程數學III(Engineering Math III)-10.11 Fourier Integrals
2.
Part II
1. 2.1
  1:06:11
  
  NCUxOCW-工程數學III(Engineering Math III)-(II)-Ch1 1st Order ODE with Constant Coefficients
2. 2.2
  57:26
  
  NCUxOCW-工程數學III(Engineering Math III)-(II)-Ch2 2nd Order ODEs with Constant Coefficients
3.
Part III
1. 3.1
  15:17
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-1.1 Heat Equation
2. 3.2
  29:54
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-1.2 Wave Equation
3. 3.3
  04:15
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-1.3 Laplace Equation
4. 3.4
  46:43
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-2.1 Non-Homog Heat Eq. with Homog B.C.
5. 3.5
  18:07
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-2.2 Non-Homog Heat Eq. with Non-Homog B.C.
6. 3.6
  15:15
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-3.1 Non-Homog Wave Eq. with Homog B.C.
7. 3.7
  08:32
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-3.2 Non-Homog Wave Eq. with Non-Homog B.C.
8. 3.8
  01:39
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-4.1 Non-Homog Laplace Eq. with Homog B.C.
9. 3.9
  00:47
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-4.2 Non-Honog Laplace Eq. with Non-Homog B.C.
10. 3.10
  32:33
  
  NCUxOCW-工程數學III(Engineering Math III)-(III)-5.1 Nonlinear 1st order PDEs

課程資訊

課程資訊