Course Syllabus

Course Information：

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

Spring Semester
Year 2025 345923 Engineering Mathematics (II) 1 3.0 3 ▲ Hua-Yi Hsu 4ERACE2 6 0 機械二乙、能源二合開

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2025	345923	Engineering Mathematics (II)	1	3.0	3	▲	Hua-Yi Hsu	4ERACE2	6	0	機械二乙、能源二合開

Course Plan：

Instructor Hua-Yi Hsu　Office Hours

Email huayihsu@ntut.edu.tw

Last Updated 2024-12-16 12:07:09

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 Chapter 8: Determinants 8.1 Permutations 8.2 Denitions of the Determinant 8.3 Properties of Determinants 8.4 Evaluation of Determinants by elementary Row and Column Operations Chapter 9: Eigenvalues, Diagonalization 9.1 Eigenvalues and Eigenvectors 9.2 Diagonaliztion of Matrices 9.3 Orthogonal and Symmetric Matrices Chapter 14: Fourier Series 14.3 Convergence of Fourier series 14.4 Fourier Cosine and Sine series 14.5 Integration and Dierentiation of Fourier series Chapter 15: The Fourier Integral and Fourier Transforms 15.1 The Fourier Integral 15.2 Fourier Cosine and Sine Integrals 15.3 The complex Fourier Integral and the Fourier Transform Chapter 17: The Wave Equation Chapter 18: The Heat Equation Chapter 20: Geometry and Arithmetic of Complex Numbers

Evaluation and grading policy 20% Flipped classroom 30% quiz 25% midterm 25% final

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Onel's Google classroom Class code: xrntdje

The access to curricular consultation Week 17 18, Online class please see google classroom
huayihsu@mail.ntut.edu.tw

The course corresponds to the SDGs SDG1：消除貧窮（No Poverty）
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）
SDG16：和平正義與有力的制度（Peace, Justice and Strong Institutions）

Note
In any case of change due to the pandemic, we will use google meet to continue our course.

Instructor	Hua-Yi Hsu　Office Hours
Email	huayihsu@ntut.edu.tw
Last Updated	2024-12-16 12:07:09
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	Chapter 8: Determinants 8.1 Permutations 8.2 Denitions of the Determinant 8.3 Properties of Determinants 8.4 Evaluation of Determinants by elementary Row and Column Operations Chapter 9: Eigenvalues, Diagonalization 9.1 Eigenvalues and Eigenvectors 9.2 Diagonaliztion of Matrices 9.3 Orthogonal and Symmetric Matrices Chapter 14: Fourier Series 14.3 Convergence of Fourier series 14.4 Fourier Cosine and Sine series 14.5 Integration and Dierentiation of Fourier series Chapter 15: The Fourier Integral and Fourier Transforms 15.1 The Fourier Integral 15.2 Fourier Cosine and Sine Integrals 15.3 The complex Fourier Integral and the Fourier Transform Chapter 17: The Wave Equation Chapter 18: The Heat Equation Chapter 20: Geometry and Arithmetic of Complex Numbers
Evaluation and grading policy	20% Flipped classroom 30% quiz 25% midterm 25% final
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Onel's Google classroom Class code: xrntdje
The access to curricular consultation	Week 17 18, Online class please see google classroom huayihsu@mail.ntut.edu.tw
The course corresponds to the SDGs	SDG1：消除貧窮（No Poverty） 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） SDG16：和平正義與有力的制度（Peace, Justice and Strong Institutions）
Note	In any case of change due to the pandemic, we will use google meet to continue our course.