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	2026-06-07 22:30:13
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	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
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%