工程數學(二)
Engineering Mathematics (II)
學期
108-2
學分
3
學分
當期課號
1323
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 | 週三 | 週五 |
|---|---|---|
3 10:10–11:00 | 工程數學(二) EE106 2 節連堂 | |
4 11:10–12:00 | 工程數學(二) EE106 |
* 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: 25% Midterm #2: 30% Final: 35% **學期總成績58分以下(不含58分)恕不調分,請勿前來要求給分** **每次作業成績在更改後公佈於e3本課程網頁,如有誤,請於每次成績公布後一星期內聯絡助教更改,逾期恕不接受任何更改**
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Linear algebra: Matrices, vectors, determinants. Matrix multiplication. |
| 第 2 週 | Linear system, coefficient matrix, augmented matrix 2/28: Holiday |
| 第 3 週 | Linear independence. Rank of a matrix. Vector space. |
| 第 4 週 | Solutions of linear systems. Determinants. Cramer's rule. Matrix inverse. |
| 第 5 週 | Eigenvalue problems: eigenvalues and eigenvectors. Orthogonal matrices. Matrix diagonalization. |
| 第 6 週 | 3/25: Midterm I Vector function and fields. Derivatives. |
| 第 7 週 | Curves. Arc length. 4/3: Holiday |
| 第 8 週 | Gradient of a scalar field. Directional derivative. Divergence of a vector field. Curl of a vector field. |
| 第 9 週 | Vector integrals. Path independence of line integrals. |
| 第 10 週 | Greens's theorem. Surface integrals. |
| 第 11 週 | Triple integrals. Divergence theorem. Stoke's theorem. |
| 第 12 週 | 5/6: Midterm II Fourier series, Fourier cosine and sine series |
| 第 13 週 | Fourier series of any period. Fourier integral. |
| 第 14 週 | Fourier cosine and sine integral. Fourier transform. Convolution. |
| 第 15 週 | Partial differential equations. Boundary value problems. |
| 第 16 週 | Wave equations. Separation of variables. Fourier series. |
| 第 17 週 | D'Alembert's solution of wave equation. Heat equation. |
| 第 18 週 | 6/17: 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