工程數學(一)
Engineering Mathematics (I)
學期
106-1
學分
3
學分
當期課號
1246
永久課號
DME2301
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 | 週四 |
|---|---|---|
2 09:00–09:50 | 工程數學(一) EE130 | |
7 15:30–16:20 | 工程數學(一) EE130 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
概述
This is the first part of the two-semester course designed for sophomore mechanical engineering students. The materials covered during the semester include ordinary differential equations as well as Laplace transform.
先修科目
Calculus
評分方式
Homework: 10% Midterm #1: 30% Midterm #2: 30% Final exam: 30% **學期總成績57分以下(含57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兩星期內聯絡助教更改,逾期恕不接受任何更改**
課程大綱
- First-Order ODEs
- Second-Order ODEs
- Higher Order Linear ODEs
- System of ODEs
- Series Solutions of ODEs
- Laplace Transforms
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Basic concepts, Separable ODEs |
| 第 2 週 | Exact ODEs, Linear ODEs |
| 第 3 週 | Homogeneous linear ODEs with constant coefficients |
| 第 4 週 | Euler-Cauchy equations |
| 第 5 週 | 10/9 (Holiday, no class) Nonohomogeneous euqations |
| 第 6 週 | 10/16: 1st Midterm |
| 第 7 週 | Homogeneous linear ODEs with constant coefficients |
| 第 8 週 | Nonhomogeneous linear ODEs |
| 第 9 週 | Solution by Variation of Parameter |
| 第 10 週 | Basics of matrices and vectors, system of ODEs in engineering applications, Power series method, Legendre's equation, Legendre polynomials |
| 第 11 週 | Basic theory of systems of ODEs |
| 第 12 週 | 11/27: 2nd Midterm |
| 第 13 週 | Power series method, Legendre's equation, Legendre polynomials |
| 第 14 週 | Frobenius method, Bessel equation |
| 第 15 週 | Laplace transform, First shifting theorem |
| 第 16 週 | Transforms of derivatives and integrals, unit Step function, second shifting method |
| 第 17 週 | 1/1 (Holiday, no class) Dirac's delta finction, convolution, integral equations |
| 第 18 週 | 1/8: Final Exam |
教科書
No specific textbook is appointed, but you may refer to the reference below: "Advanced Engineering Mathematics" by Erwin Kreyszig, 10th Ed., John Wiley & Sons, 2011. "Advanced Engineering Mathematics" by Dennis G. Zill, 6th 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
- Email: liaoyh@nctu.edu.tw