工程數學(二)
Engineering Mathematics (II)
學期
107-2
學分
0
學分
當期課號
1238
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 | 週二 | 週四 |
|---|---|---|
2 09:00–09:50 | 工程數學(二) EE132（光復） 2 節連堂 | 工程數學(二) EE132（光復） |
3 10:10–11:00 |
* 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: 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**
課程大綱
教師未提供此項資料
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 | 3/26 Midterm I Vector function and fields. Derivatives. |
| 第 7 週 | Curves. Arc length. 4/4: 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 | 5/7 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 | 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