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 354901 Engineering Mathematics (II) 1 3.0 3 ▲ Chih-Yu Kuo 4CEB2A
4CEB2C 121 0 請安排先鋒100人教室；化工二甲丙合開

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	354901	Engineering Mathematics (II)	1	3.0	3	▲	Chih-Yu Kuo	4CEB2A 4CEB2C	121	0	請安排先鋒100人教室；化工二甲丙合開

Course Plan：

Instructor Chih-Yu Kuo　Office Hours

Email chihyukuo@ntut.edu.tw

Last Updated 2026-02-23 02:30:54

Course Objective Engineering Mathematics (II) will be divided into four parts: (1) Fourier analysis, (2) Partial Differential Equations, (3) vector differential and integral calculus.

Course Schedule 1st Vector Differential Calculus 2nd Vector Differential Calculus 3rd Vector Integral Calculus 4th Vector Integral Calculus 5th Vector Integral Calculus s 6th First Midterm Exam 7th Matrices and Linear Systems 8th Determinants 9th Eigenvalues, Diagonalization, and Special Matrices 10th Eigenvalues, Diagonalization, and Special Matrices 11th Fourier Series, Half-Range Expansions 12th Second Midterm Exam 13th Fourier Integral 14th Fourier Integral 15th Partial Differential Equations: Basic Concepts, Wave Function 16th Heat Equation: Solution by Separating Variables 17th Heat Equation: Solution by Separating Variables 18th Final Exam

Evaluation and grading policy 1. Present/absent 15% 2. Homework 10% total 3. Mid-term, final term 25% each 75% total

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
工程數學 (Advanced Engineering Mathematics, Peter V. O’Neil, 8th edition)

The access to curricular consultation Email: chihyukuo@ntut.edu.tw

Expanding teaching and resources ● 混成學習 (Blended Learning)
課程結合實體授課與線上學習（同步視訊／非同步活動）。
Combines face-to-face instruction with online learning (including synchronous video sessions or asynchronous activities).

The course corresponds to the SDGs SDG1：消除貧窮（No Poverty）
SDG3：良好健康和福祉（Good Health and Well-being）
SDG4：優質教育（Quality Education）
SDG6：潔淨水與衛生（Clean Water and Sanitation）
SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
SDG10：減少不平等（Reduced Inequalities）
SDG11：永續城市與社區（Sustainable Cities and Communities）
SDG12：負責任的消費與生產（Responsible Consumption and Production）

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

Note
　

Instructor	Chih-Yu Kuo　Office Hours
Email	chihyukuo@ntut.edu.tw
Last Updated	2026-02-23 02:30:54
Course Objective	Engineering Mathematics (II) will be divided into four parts: (1) Fourier analysis, (2) Partial Differential Equations, (3) vector differential and integral calculus.
Course Schedule	1st Vector Differential Calculus 2nd Vector Differential Calculus 3rd Vector Integral Calculus 4th Vector Integral Calculus 5th Vector Integral Calculus s 6th First Midterm Exam 7th Matrices and Linear Systems 8th Determinants 9th Eigenvalues, Diagonalization, and Special Matrices 10th Eigenvalues, Diagonalization, and Special Matrices 11th Fourier Series, Half-Range Expansions 12th Second Midterm Exam 13th Fourier Integral 14th Fourier Integral 15th Partial Differential Equations: Basic Concepts, Wave Function 16th Heat Equation: Solution by Separating Variables 17th Heat Equation: Solution by Separating Variables 18th Final Exam
Evaluation and grading policy	1. Present/absent 15% 2. Homework 10% total 3. Mid-term, final term 25% each 75% total
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 工程數學 (Advanced Engineering Mathematics, Peter V. O’Neil, 8th edition)
The access to curricular consultation	Email: chihyukuo@ntut.edu.tw
Expanding teaching and resources	● 混成學習 (Blended Learning) 課程結合實體授課與線上學習（同步視訊／非同步活動）。 Combines face-to-face instruction with online learning (including synchronous video sessions or asynchronous activities).
The course corresponds to the SDGs	SDG1：消除貧窮（No Poverty） SDG3：良好健康和福祉（Good Health and Well-being） SDG4：優質教育（Quality Education） SDG6：潔淨水與衛生（Clean Water and Sanitation） SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure） SDG10：減少不平等（Reduced Inequalities） SDG11：永續城市與社區（Sustainable Cities and Communities） SDG12：負責任的消費與生產（Responsible Consumption and Production）
Does the course incorporate AI	● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）
Note