工程數學(二)
Engineering Mathematics (II)
學期
106-2
學分
3
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 | |
3 10:10–11:00 | 工程數學(二) EE206 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
評分方式
Homework: 10% (作業遲交一律拒收) Midterm 1: 30% Midterm 2: 30% Final: 30%
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