Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	362215	Engineering Mathematics (I)	1	3.0	3	▲	LEE,YEE-TING	4ME2B	37	0

Course Plan：

Instructor	LEE,YEE-TING　Office Hours
Email	ytlee@ntut.edu.tw
Last Updated	2026-08-03 14:31:19
Course Objective	先修課程：微積分或負責教授同意。常微分方程式、線性常微分方程式、拉普拉氏轉換、級數及傅立葉級數、線性代數及矩陣、積分定理。 Introduction of the deformation, Strain and stress of structure (Beam, Column, Pressure vessel) under different loading conditions such as Tension, Compression, Shear force, Torsion and Bending moment.
Course Schedule (Week 1-16)	週次 章節內容 備註 01 Course introduction & Basic Concepts and Ideas 02 Geometrical Meaning of y’=f(x,y) & Separable Differential Eq. 03 Exact ODES & Linear ODEs 04 Determinants (Second-/Third-order; Properties; Cramer’s Rule). 9/28教師節 05 Inverse of a Matrix & Gauss–Jordan Elimination. Quiz 06 Homogeous Linear ODEs. of Second Order & Euler-Cauchy Eq. 07 Existence and Uniqueness of Solutions & Nonhomogeous ODEs 08 Mid-term exam 9/26光復節補假 09 Solution by Variation of Parameters & Homogenous Linear ODEs of High Orders 10 Homogeous Linear Eq. of High Orders with Constant Coefficients & Nonhomogeous Linear ODEs of High Orders 11/09校慶慶祝大會暨園遊會補假 11 Power Series Method & Theory of the Power Series Method 12 Line Integrals; Path Independence; Double Integrals; Green’s Theorem. Quiz 13 Legendre’s Equation; Legendre Polynomials Pn(x) & Frobenius Method 14 Bessel’s Equation. Bessel Functions Jv(x) & Laplace Transform 15 Transforms of Derivatives and Integrals. ODEs & Unit Step Function 16 Final exam 17 透過提講義，協助學生進行自主學習 (Short Impulses; Convolution. Integral Equations) 自主學習 18 透過提講義，協助學生進行自主學習 (Differentiation and Integration of Transforms) 自主學習
Flexible Learning (Week 17-18)	Category ● 學生分組實作及討論(Student group practice and discussion) Content (1) 第17週：依據工程數學（一）當週課程進度，提供相關講義、例題及練習題，供學生自主學習與複習課程內容。 (2) 第18週：依據工程數學（一）當週課程進度，提供重點整理、應用例題及課後練習，協助學生統整並鞏固所學內容 Hours 6 Learning Outcomes 登入「北科i學園PLUS」平台完成指定學習任務（如繳交指定習題作業）。 Assessment Percentage 自主學習作業成績佔學期成績 10%
Evaluation and grading policy	平時40%(內含小考30%，平時出缺席考核與課堂行為觀察10%，點名缺席一次扣1%，最多扣至10%)，期中考25%，期末考25%，自主學習作業10%。
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 1. 自編教材 2. Erwin Kreyszig, Advanced Engineering Mathematics, 10th edition,
The access to curricular consultation	學生可利用office hours現場或使用email聯繫討論。
Expanding teaching and resources	● 無 (None)
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
Does the course incorporate AI	● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
Note	彈性學習/Flexible Learning 一、類別 (可複選) □學生自主學習 二、內容 (1)第17週:依照當週課程提供講義供學生自主學習。 (2)第18週:依照當週課程提供講義供學生自主學習。 三、時數 總共6小時。 四、學習成果 第17週繳交相關習題作業；第18週繳交相關習題作業。 五、評量比例 習題作業:10%