工程數學(1)
Engineering Mathematics(1)
學期
111-1
學分
3
學分
當期課號
910385
永久課號
SESE10026
開課單位
系統工程與科技學士學位學程
授課教師
潘冠呈
類別
必修
上課時間表
| 節 | 週一 |
|---|---|
5 13:20–14:10 | 工程數學(1) 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
概述
提供學生瞭解以數學方法解決、分析工程與科學上的問題,課程內容包含: 常微分方程的一般解法、拉氏轉換、微分方程式的系統與質性分析方法、向量微分計算法及向量積分計算法等主題。
先修科目
微積分
教學方式
課堂講授與考試測驗
評分方式
(1)平時成績30%(2)期中考試35%(3)期末考試35%
週次計畫
| 週次 | 主題 |
|---|---|
| 第 2 週 | First-Order Differential Equations Exact ODEs Integrating Factorss Linear ODEs |
| 第 3 週 | First-Order Differential Equations Linear ODEs Bernoulli Equation Population Dynamics |
| 第 4 週 | Second-Order Differential Equations Homogeneous Linear ODEs of Second Order Homogeneous Linear ODEs with Constant Coefficients |
| 第 5 週 | First-Order Differential Equations Basic Concepts Separable ODEs |
| 第 5 週 | Second-Order Differential Equations Homogeneous Linear ODEs with Constant Coefficients Euler–Cauchy Equations |
| 第 6 週 | Second-Order Differential Equations Existence and Uniqueness of Solutions Wronskian Nonhomogeneous ODEs |
| 第 7 週 | Second-Order Differential Equations Solution by Variation of Parameters High-Order Differential Equations Homogeneous Linear ODEs |
| 第 8 週 | High-Order Differential Equations Homogeneous Linear ODEs with Constant Coefficients Nonhomogeneous Linear ODEs |
| 第 9 週 | Midterm exam |
| 第 10 週 | Laplace Transforms Laplace Transform Linearity First Shifting Theorem (s-Shifting) |
| 第 11 週 | Laplace Transforms First Shifting Theorem (s-Shifting) Transforms of Derivatives and Integrals |
| 第 12 週 | Laplace Transforms Unit Step Function (Heaviside Function) Second Shifting Theorem (t-Shifting) |
| 第 13 週 | Laplace Transforms Short Impulses Dirac's Delta Function Partial Fractions |
| 第 14 週 | Laplace Transforms Convolution Integral Equations |
| 第 15 週 | Laplace Transforms Differentiation and Integration of Transforms |
| 第 16 週 | Laplace Transforms ODEs with Variable Coefficients Systems of ODEs |
| 第 17 週 | Laplace Transforms Systems of ODEs Laplace Transform: General Formulas |
| 第 18 週 | Final exam |
教科書
Advanced Engineering Mathematics, 10/e, Erwin Kreyszig, Wiley, 2018.
Office Hours
- 地點
- 大維館兵107室
- 時間
- 週一上午1000~1200
- 聯絡方式
- 03-3800958#107