工程數學(一)
Engineering Mathematics (I)
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 工程數學(一) EE130 | |
3 10:10–11:00 | 工程數學(一) EE130 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
This is the first half of Engineering Mathematics designed to be a full academic year course. This course is to establish the fundamental mathematical knowledge for sophomore mechanical engineering students. Ordinary differential equations and Laplace transforms will be covered in this course.
Calculus
All of the course material will be available on new e3 including lecture notes and homework solutions. All the material covered in class will be repeated again in mandarin.
Homework: 20% Midterm 1 & 2: 25% each Final: 30%
- Second-Order ODEs
- Higher Order Linear ODEs
- System of ODEs
- Series Solutions of ODEs
- Laplace Transforms
- First-Order ODEs
| 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 | Nonhomogeneous equations |
| 第 6 週 | Review, 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 |
| 第 11 週 | Power series method, Legendre's equation |
| 第 12 週 | Review, 11/27: 2nd Midterm |
| 第 13 週 | Legendre polynomials, Basic theory of systems of ODEs |
| 第 14 週 | Frobenius method, Bessel equation |
| 第 15 週 | Laplace transforms, First shifting theorem |
| 第 16 週 | Transforms of derivatives and integrals, unit Step function, second shifting method |
| 第 17 週 | Dirac's delta function, convolution, integral equations, review 1/1: Holiday |
| 第 18 週 | 1/8: Final Exam |
No specific textbook is appointed, but you may refer to the references below: "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. "Advanced Engineering Mathematics" by Peter V. O'neil, 8th Ed., CENGAGE Learning. ※ Please don't make copies in any form.
- 地點
- EE453
- 時間
- By appointment
- 聯絡方式
- Ext: 55134 Mail: jchang40@nctu.edu.tw