Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Fall Semester
Year 2025 348458 Engineering Mathematics (I) 1 3.0 3 ▲ Yang An Shik 4ERACE2 38 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	348458	Engineering Mathematics (I)	1	3.0	3	▲	Yang An Shik	4ERACE2	38	0

Course Plan：

Instructor Yang An Shik　Office Hours

Email asyang@ntut.edu.tw

Last Updated 2025-05-23 17:38:50

Course Objective 本課程將介紹工程上、物理上系統解析的相關數學工具，內容包括：1.常微分方程式：一階，二階，及高階常微分方程，2.拉譜拉斯轉換，3.特殊函數。

Course Schedule 1 Reviews 2 Basic Concepts and Ideas 3 Separable Differential Eq.(第一次小考) 4 Exact ODES; Linear ODEs 5 Homogeous Linear ODEs. of Second Order; Homogeous Linear ODEs with Constant Coefficients 6 Euler-Cauchy Eq; Existence and Uniqueness of Solutions (第二次小考) 7 Nonhomogeous ODEs 8 Homogeous Linear ODEs; Homogeous Linear Eq. with Constant Coefficients 9 期中考 10 Power Series Method 11 Theory of the Power Series Method. 12 Legendre’s Equation; Legendre Polynomials Pn(x).; Frobenius Method. (第三次小考) 13 Bessel’s Equation. Bessel Functions Jv(x). 14 Laplace Transform 15 Transforms of Derivatives and Integrals. ODEs. (第四次小考) 16 Unit Step Function 17 Differentiation and Integration of Transforms 18 期末考

Evaluation and grading policy 1 出缺席考核與課堂行為觀察 (10%) 2 小考四次 (40%，每次10%) 3 期中考(25%)；期末考 (25%)

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Advanced Engineering Mathematics (10th Edition, John Wiley) Authors: Erwin Kreyszig

The access to curricular consultation 研究室分機: 3517
研究室位置:綜合科館606室

Expanding teaching and resources

The course corresponds to the SDGs SDG4：優質教育（Quality Education）

Does the course incorporate AI ● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）

Note
本學期原則採實體授課方式；因應疫情警戒標準，本學期教學及授課方式請依照學校網頁所公布之訊息為準：
(https://oaa.ntut.edu.tw/p/404-1008-98622.php?Lang=zh-tw)

Instructor	Yang An Shik　Office Hours
Email	asyang@ntut.edu.tw
Last Updated	2025-05-23 17:38:50
Course Objective	本課程將介紹工程上、物理上系統解析的相關數學工具，內容包括：1.常微分方程式：一階，二階，及高階常微分方程，2.拉譜拉斯轉換，3.特殊函數。
Course Schedule	1 Reviews 2 Basic Concepts and Ideas 3 Separable Differential Eq.(第一次小考) 4 Exact ODES; Linear ODEs 5 Homogeous Linear ODEs. of Second Order; Homogeous Linear ODEs with Constant Coefficients 6 Euler-Cauchy Eq; Existence and Uniqueness of Solutions (第二次小考) 7 Nonhomogeous ODEs 8 Homogeous Linear ODEs; Homogeous Linear Eq. with Constant Coefficients 9 期中考 10 Power Series Method 11 Theory of the Power Series Method. 12 Legendre’s Equation; Legendre Polynomials Pn(x).; Frobenius Method. (第三次小考) 13 Bessel’s Equation. Bessel Functions Jv(x). 14 Laplace Transform 15 Transforms of Derivatives and Integrals. ODEs. (第四次小考) 16 Unit Step Function 17 Differentiation and Integration of Transforms 18 期末考
Evaluation and grading policy	1 出缺席考核與課堂行為觀察 (10%) 2 小考四次 (40%，每次10%) 3 期中考(25%)；期末考 (25%)
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Advanced Engineering Mathematics (10th Edition, John Wiley) Authors: Erwin Kreyszig
The access to curricular consultation	研究室分機: 3517 研究室位置:綜合科館606室
Expanding teaching and resources
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
Does the course incorporate AI	● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）
Note	本學期原則採實體授課方式；因應疫情警戒標準，本學期教學及授課方式請依照學校網頁所公布之訊息為準： (https://oaa.ntut.edu.tw/p/404-1008-98622.php?Lang=zh-tw)