工程數學（一）
Engineering Mathematics(Ⅰ)
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 工程數學（一） EB227（光復） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
Teach students mathematical skills for solving engineering problems.
Calculus
Exam 1 on Week 7 Exam 2 on Week 12 Exam 3 on Week 16
TA: To be determined.
Three tests 75%（each 25%），Class participation (in class excercises, quizs, homeworks)25%
Introduction
- Course introduction - Review of Calculus - The Role of ODE in Engineering Problem Solving - The simplest ODE, and review of complex exponential function, Taylor’s series - Basic Concept of Differential Equations
- 講授：
- 2 W
First-order differential equations
-Separate ODE -Exact ODE -Linear ODE - Modeling Examples -Existence and Uniqueness
- 講授：
- 2 W
Linear Differential Equations of Second and Higher order
-Theory of Linear ODE -Constant-coefficient Linear Homogeneous ODE -Reduction of Order -Euler Cauchy Linear Homogeneous ODE -Modeling Examples - Linear Non-homogeneous ODE -Modeling Examples
- 講授：
- 3W
備註：Exam 1 on Week 7
System of Differential Equations
- System of linear ODE - Homogeneous system with constant coefficients - Non-homogeneous system
- 講授：
- 2W
Series solutions (Optional)
-Power series method -Frobenius method
- 講授：
- 1~2W
備註：Exam 2 on Week 12
Laplace Transformation
-Definition of Laplace transform -Properties of Laplace transform - Differential equations – Laplace transform -Partial fractions -System of differential equations
- 講授：
- 3W
備註：Exam 3 on Week 16
| 週次 | 主題 |
|---|---|
| 第 1 週 | -Course introduction -Review of Calculus -The Role of ODE in Engineering Problem Solving 2026-09-08(二) |
| 第 2 週 | - The simplest ODE, and review of complex exponential function, Taylor’s series -Basic Concept of Differential Equations 2026-09-15(二) |
| 第 3 週 | - Separable ODE (1st Order) - Modeling example 2026-09-22(二) |
| 第 4 週 | - Exact ODE (1st Order) - Linear ODE (1st Order) - Existence and Uniqueness of Solutions (1st Order ODE) 2026-09-29(二) |
| 第 5 週 | - Theory of Linear ODE - Constant-coefficient Linear Homogenerous ODEs (2nd Order) 2026-10-06(二) |
| 第 6 週 | - Reduction of Order - Modeling examples - Euler Cauchy linear Homogeneous ODE (2nd ordr) 2026-10-13(二) |
| 第 7 週 | Mid-term exam 1 2026-10-20(二) |
| 第 8 週 | – Method of underdetermined coefficient – Method of variation of parameters - Modeling examples 2026-10-27(二) |
| 第 9 週 | - Higher order Linear ODE - System of linear ODE 2026-11-03(二) |
| 第 10 週 | - Homogeneous system - Non-homogeneous system 2026-11-10(二) |
| 第 11 週 | - Power series method - Frobenius method 2026-11-17(二) |
| 第 12 週 | Mid-term exam 2 2026-11-24(二) |
| 第 13 週 | - Definition of Laplace transform - Properties of Laplace transform (1) 2026-12-01(二) |
| 第 14 週 | -Properties of Laplace transform (II) - Differential equations – Laplace transform 2026-12-08(二) |
| 第 15 週 | -Partial fractions - System of differential equations – Laplace transform 2026-12-15(二) |
| 第 16 週 | Final Exam 2026-12-22(二) |
Erwin Kreyszig, “Advanced Engineering Mathematics”, 10th Edition 請遵守智慧財產權觀念，不得非法影印。
- 地點
- Engineering Building II 222
- 時間
- 2EFG
- 聯絡方式
- Email: cplin.ce@nycu.edu.tw Phone: (03)513-1574 On-Campus Tel : 31574