Course Syllabus

Course Information：

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

Spring Semester
Year 2026 355254 Engineering Mathematics (II) 1 3.0 3 ▲ LEE,YEE-TING 4ME2B
4MEE2 58 1 機械二乙、機電二合開

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	355254	Engineering Mathematics (II)	1	3.0	3	▲	LEE,YEE-TING	4ME2B 4MEE2	58	1	機械二乙、機電二合開

Course Plan：

Instructor LEE,YEE-TING　Office Hours

Email ytlee@ntut.edu.tw

Last Updated 2026-02-07 21:42:28

Course Objective 先修課程：3002011或負責教授同意。特徵值、特徵向量及特徵函數，向量分析、向量微積分、傅立葉級數與邊界值問題、偏微分方程、複變函數。 Eigenvalue and Eigenfunction Problems, Vector Analyses, Calculus of Vectors, Fourier Series, Boundary Value Problems, Partial Differential Equations, Complex Analyses.

Course Schedule 週次章節內容 01 Course introduction & Review. Matrices and Vectors. 02 Matrix Multiplication & Linear Systems of Equations. 03 Linear Independence & Solutions of Linear Systems. 04 Determinants (Second-/Third-order; Properties; Cramer’s Rule). 05 Inverse of a Matrix & Gauss–Jordan Elimination. (Quiz) 06 The Matrix Eigenvalue Problem & Applications. 07 Symmetric/Skew-symmetric/Orthogonal Matrices & Eigenbases. 08 Vectors in 2-Space and 3-Space; Inner Product; Vector Product. 09 Mid-term exam 10 Curves; Gradient; Directional Derivative. 11 Divergence; Curl. 12 Line Integrals; Path Independence; Double Integrals; Green’s Theorem. 13 Surfaces for Surface Integrals; Surface Integrals. 14 Fourier Series; Arbitrary Period. (Quiz) 15 Even/Odd Functions; Half-range Expansions; Fourier Integral. 16 Basic Concepts of PDEs; Separation of Variables; Wave Equation Modelling. 17 Solution of PDEs by Fourier Series. 18 Final exam

Evaluation and grading policy 平時45%(內含小考30%，平時出缺席考核與課堂行為觀察15%，點名缺席一次扣1%，最多扣至15%)，期中考25%，期末考30%。

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 每週二綜科427 10:00-11:00 AM

Expanding teaching and resources

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
　

Instructor	LEE,YEE-TING　Office Hours
Email	ytlee@ntut.edu.tw
Last Updated	2026-02-07 21:42:28
Course Objective	先修課程：3002011或負責教授同意。特徵值、特徵向量及特徵函數，向量分析、向量微積分、傅立葉級數與邊界值問題、偏微分方程、複變函數。 Eigenvalue and Eigenfunction Problems, Vector Analyses, Calculus of Vectors, Fourier Series, Boundary Value Problems, Partial Differential Equations, Complex Analyses.
Course Schedule	週次章節內容 01 Course introduction & Review. Matrices and Vectors. 02 Matrix Multiplication & Linear Systems of Equations. 03 Linear Independence & Solutions of Linear Systems. 04 Determinants (Second-/Third-order; Properties; Cramer’s Rule). 05 Inverse of a Matrix & Gauss–Jordan Elimination. (Quiz) 06 The Matrix Eigenvalue Problem & Applications. 07 Symmetric/Skew-symmetric/Orthogonal Matrices & Eigenbases. 08 Vectors in 2-Space and 3-Space; Inner Product; Vector Product. 09 Mid-term exam 10 Curves; Gradient; Directional Derivative. 11 Divergence; Curl. 12 Line Integrals; Path Independence; Double Integrals; Green’s Theorem. 13 Surfaces for Surface Integrals; Surface Integrals. 14 Fourier Series; Arbitrary Period. (Quiz) 15 Even/Odd Functions; Half-range Expansions; Fourier Integral. 16 Basic Concepts of PDEs; Separation of Variables; Wave Equation Modelling. 17 Solution of PDEs by Fourier Series. 18 Final exam
Evaluation and grading policy	平時45%(內含小考30%，平時出缺席考核與課堂行為觀察15%，點名缺席一次扣1%，最多扣至15%)，期中考25%，期末考30%。
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	每週二綜科427 10:00-11:00 AM
Expanding teaching and resources
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