工程數學(二)
Engineering Mathematics (II)
學期
106-2
學分
0
學分
當期課號
1243
永久課號
DME2302
開課單位
機械工程學系
授課教師
廖英皓
校區
光復
類別
必修
上課時間表
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 工程數學(二) EE206（光復） | |
3 10:10–11:00 | 工程數學(二) EE206（光復） 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
This is the second part of the two-semester course designed for sophomore mechanical engineering students. The materials covered during the semester include linear algebra, vector calculus, Fourier analysis and partial differential equations.
先修科目
Calculus
備註
無備註
教學方式
教師未提供此項資料
評分方式
Homework: 10% (作業遲交一律拒收) Midterm 1: 30% Midterm 2: 30% Final: 30%
課程大綱
教師未提供此項資料
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Fundamental of vectors 2/28: Holiday |
| 第 2 週 | Vector space, Gram-Schmidt orthogonalization |
| 第 3 週 | Fundamental of matrices, System of linear algebraic equations |
| 第 4 週 | Rank, determinants, cramer's rule, inverse of a matrix |
| 第 5 週 | Eigenvalue problems: eigenvalues and eigenvectors, powers of matrices |
| 第 6 週 | 4/2 Midterm I Symmetric, skew-symmetric and orthogonal matrices, matrix diagoanlization 4/4: Holiday |
| 第 7 週 | Definition and basic concepts of Laplace transform, inverse transform, transform of derivatives |
| 第 8 週 | Translation theorems, ODEs |
| 第 9 週 | Derivatives of transforms, transform of integrals, convolution |
| 第 10 週 | Transform of periodic functions, the Dirac delta function |
| 第 11 週 | Systems of linear differential equations |
| 第 12 週 | 5/14 Midterm II Fourier series, Fourier cosine and sine series |
| 第 13 週 | Complex Fourier series, Fourier integral |
| 第 14 週 | Fourier transform, fast Fourier transform |
| 第 15 週 | Separable partial differential equations |
| 第 16 週 | Classic PDEs, boundary-value problems, heat equation |
| 第 17 週 | Final Exam |
教科書
Reference: "Advanced Engineering Mathematics" by Erwin Kreyszig, 10th Ed., John Wiley & Sons, 2011. "Advanced Engineering Mathematics" by Dennis Zill and Warren Wright, 5th Ed., Jones & Bartlett Learning. ※ 請同學遵守智慧財產權觀念及勿使用非法影印教科書。
Office Hours
- 地點
- EE473
- 時間
- By appointment
- 聯絡方式
- Ext: 55119 Email: liaoyh@nctu.edu.tw