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 359655 Engineering Mathematics (II) 1 3.0 3 ▲ MA KUEN WAI 4ERACE2 21 0 機械二甲和能源二合開

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	359655	Engineering Mathematics (II)	1	3.0	3	▲	MA KUEN WAI	4ERACE2	21	0	機械二甲和能源二合開

Course Plan：

Instructor MA KUEN WAI　Office Hours

Email kwma@ntut.edu.tw

Last Updated 2025-12-18 17:13:43

Course Objective This course will introduce the mathematical principles in engineering, including following topics: Matrices, Vectors, Linear Systems, Determinants, and Matrix Eigenvalue Problems in Linear Algebra; Vector Differential and Integral Calculus; Fourier Series and Fourier Integral; and Partial Differential Equations and Boundary Value Problems.

Course Schedule 1 Course introduction & Review. Matrices and Vectors. 2 Matrix Multiplication & Linear Systems of Equations. 3 Linear Independence & Solutions of Linear Systems. 4 Second- and Third-Order Determinants & Determinants. 5 Inverse of a Matrix & Vector Spaces. 6 In-class quiz 1. The Matrix Eigenvalue Problem & Their Applications. 7 Symmetric, Skew-Symmetric, and Orthogonal Matrices & Eigenbases. 8 Vectors in 2-Space and 3-Space & Inner Product & Vector Product. 9 Vector and Scalar Functions and Their Fields. Mid-term exam. 10 Curves & Gradient of a Scalar Field. 11 Divergence of a Vector Field & Curl of a Vector Field. 12 Line Integrals & Path Independence of Line Integrals & Green’s Theorem in the Plane. 13 Surfaces for Surface Integrals & Surface Integrals & Triple Integrals. 14 In-class quiz 2. Fourier Series & For Arbitrary Period. 15 Even and Odd Functions in Fourier Series & Fourier Integral. 16 Basic Concepts of PDEs & Vibrating String, Wave Equation Modelling. 17 Solution of PDEs by Fourier Series. 18 Final exam.

Evaluation and grading policy Attendance 15% + In-class quizzes 1&2 25% + Mid-term exam 30% + Final exam 30%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Kreyszig, Erwin. “Advanced engineering mathematics.” 10th ed.

The access to curricular consultation Email: kwma@ntut.edu.tw; Tel: 02-27712171 #2074

The course corresponds to the SDGs 無（None）

Does the course incorporate AI ● 無（None）

Note
　

Instructor	MA KUEN WAI　Office Hours
Email	kwma@ntut.edu.tw
Last Updated	2025-12-18 17:13:43
Course Objective	This course will introduce the mathematical principles in engineering, including following topics: Matrices, Vectors, Linear Systems, Determinants, and Matrix Eigenvalue Problems in Linear Algebra; Vector Differential and Integral Calculus; Fourier Series and Fourier Integral; and Partial Differential Equations and Boundary Value Problems.
Course Schedule	1 Course introduction & Review. Matrices and Vectors. 2 Matrix Multiplication & Linear Systems of Equations. 3 Linear Independence & Solutions of Linear Systems. 4 Second- and Third-Order Determinants & Determinants. 5 Inverse of a Matrix & Vector Spaces. 6 In-class quiz 1. The Matrix Eigenvalue Problem & Their Applications. 7 Symmetric, Skew-Symmetric, and Orthogonal Matrices & Eigenbases. 8 Vectors in 2-Space and 3-Space & Inner Product & Vector Product. 9 Vector and Scalar Functions and Their Fields. Mid-term exam. 10 Curves & Gradient of a Scalar Field. 11 Divergence of a Vector Field & Curl of a Vector Field. 12 Line Integrals & Path Independence of Line Integrals & Green’s Theorem in the Plane. 13 Surfaces for Surface Integrals & Surface Integrals & Triple Integrals. 14 In-class quiz 2. Fourier Series & For Arbitrary Period. 15 Even and Odd Functions in Fourier Series & Fourier Integral. 16 Basic Concepts of PDEs & Vibrating String, Wave Equation Modelling. 17 Solution of PDEs by Fourier Series. 18 Final exam.
Evaluation and grading policy	Attendance 15% + In-class quizzes 1&2 25% + Mid-term exam 30% + Final exam 30%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Kreyszig, Erwin. “Advanced engineering mathematics.” 10th ed.
The access to curricular consultation	Email: kwma@ntut.edu.tw; Tel: 02-27712171 #2074
The course corresponds to the SDGs	無（None）
Does the course incorporate AI	● 無（None）
Note