工程數學（一）
Engineering Mathematics(Ⅰ)
學期
114-1
學分
3
學分
當期課號
516003
永久課號
ENEN10001
開課單位
工學院共同課程
授課教師
張存均
校區
光復
類別
必修
上課時間表
| 節 | 週二 | 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
概述
Teach students mathematical skills for solving engineering problems.
先修科目
Calculus
教學方式
TA : To be determined
評分方式
Three tests 75%(each 25%),Class participation (in class excercises, quizs, homeworks)25%
課程大綱
- First-order differential equations
- Linear Differential Equations of Second and Higher order
- System of Differential Equations
- Series Solutions (Optional)
- Laplace Transformation
- Introduction
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | -Course introduction -Review of Calculus -The Role of ODE in Engineering Problem Solving |
| 第 1 週 | -Course introduction -Review of Calculus -The Role of ODE in Engineering Problem Solving |
| 第 2 週 | - The simplest ODE, and review of complex exponential function, Taylor’s series -Basic Concept of Differential Equations |
| 第 2 週 | - The simplest ODE, and review of complex exponential function, Taylor’s series -Basic Concept of Differential Equations |
| 第 3 週 | - Separable ODE (1st Order) - Modeling example |
| 第 3 週 | - Separable ODE (1st Order) - Modeling example |
| 第 4 週 | - Exact ODE (1st Order) - Linear ODE (1st Order) - Existence and Uniqueness of Solutions (1st Order ODE) |
| 第 4 週 | - Exact ODE (1st Order) - Linear ODE (1st Order) - Existence and Uniqueness of Solutions (1st Order ODE) |
| 第 5 週 | - Theory of Linear ODE - Constant-coefficient Linear Homogeneous ODEs (2nd Order) |
| 第 5 週 | - Theory of Linear ODE - Constant-coefficient Linear Homogeneous ODEs (2nd Order) |
| 第 6 週 | - Reduction of Order - Modeling examples - Euler Cauchy linear Homogeneous ODE (2nd order) |
| 第 6 週 | - Reduction of Order - Modeling examples - Euler Cauchy linear Homogeneous ODE (2nd order) |
| 第 7 週 | 2025-10-15(三) Mid-term exam 1 第一次期中考 |
| 第 7 週 | 2025-10-15(三) Mid-term exam 1 第一次期中考 |
| 第 8 週 | – Method of underdetermined coefficient – Method of variation of parameters - Modeling examples |
| 第 8 週 | – Method of underdetermined coefficient – Method of variation of parameters - Modeling examples |
| 第 9 週 | - Higher order Linear ODE - System of linear ODE |
| 第 9 週 | - Higher order Linear ODE - System of linear ODE |
| 第 10 週 | - Homogeneous system - Non-homogeneous system |
| 第 10 週 | - Homogeneous system - Non-homogeneous system |
| 第 11 週 | - Power series method - Frobenius method |
| 第 11 週 | - Power series method - Frobenius method |
| 第 12 週 | Mid-term exam 2 |
| 第 12 週 | Mid-term exam 2 |
| 第 13 週 | - Definition of Laplace transform - Properties of Laplace transform (1) |
| 第 13 週 | - Definition of Laplace transform - Properties of Laplace transform (1) |
| 第 14 週 | -Properties of Laplace transform (II) - Differential equations – Laplace transform |
| 第 14 週 | -Properties of Laplace transform (II) - Differential equations – Laplace transform |
| 第 15 週 | -Partial fractions - System of differential equations – Laplace transform |
| 第 15 週 | -Partial fractions - System of differential equations – Laplace transform |
| 第 16 週 | Final Exam |
| 第 16 週 | Final Exam |
教科書
Erwin Kreyszig, “Advanced Engineering Mathematics”, 10th Edition 請遵守智慧財產權觀念,不得非法影印。
Office Hours
- 地點
- Engineering Building V 421
- 時間
- Individual agreement
- 聯絡方式
- Email: changtc@nycu.edu.tw On-Campus Tel : 55131