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	366750	Engineering Mathematics (I)	1	3.0	3	▲	MA KUEN WAI	4ERACE2	23	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	2026-09-07 10:39:29
Course Objective	This course will introduce the mathematical principles in engineering, including following topics: First-Order ODEs, Second-Order Linear ODEs, Higher Order Linear ODEs, Systems of ODEs, Series Solutions of ODEs, and Laplace Transforms.
Course Schedule (Week 1-16)	1 Course introduction & Basic Concepts of First-Order ODEs. 2 Separable ODEs & Exact ODEs. 3 Linear ODEs & Existence and Uniqueness of Solutions for Initial Value Problems. 4 No lecture on 28 Sep (Confucius’ Birthday) & In-class Quiz 1. 5 Homogeneous Linear ODEs of Second Order & Homogeneous Linear ODEs with Constant Coefficients & Euler–Cauchy Equations. 6 Existence and Uniqueness of Solutions & Nonhomogeneous ODEs. 7 Review of First and Second-Order ODEs & Mid-term Exam. 8 No lecture on 26 Oct (Compensatory holiday for Retrocession Day) & Higher Order Homogeneous Linear ODEs and Higher Order Homogeneous Linear ODEs with Constant Coefficients. 9 Nonhomogeneous Linear ODEs & Systems of ODEs as Models in Engineering Applications. 10 No lecture on 9 Nov (Compensatory holiday for Taipei Tech’s anniversary celebration and school fair) & Power Series Method. 11 Legendre’s Equation & Extended Power Series Method. 12 Bessel’s Equation & General Solution of Bessel Functions & In-class Quiz 2. 13 Laplace Transform & Transforms of Derivatives and Integrals & Unit Step Function. 14 Differentiation and Integration of Transforms & Systems of ODEs. 15-16 Laplace Transform: General Formulas & Final Exam & Review. 17-18 Flexible Learning.
Flexible Learning (Week 17-18)	Category ● 學生分組實作及討論(Student group practice and discussion) Content Week 17: Each student group designs mathematics practice problems based on the course content and prepares the solutions. Week 18: Each group presents the designed mathematics questions in class and guides other students in discussing and solving the problems. Hours 6 Learning Outcomes Enhance Students’ their problem analysis, problem-solving, presentation, and peer interaction skills through reporting and discussion. Assessment Percentage Question design and presentation performance: 10%
Evaluation and grading policy	Subject Mark = Attendance 10% + In-class quizzes 1&2 25% + Mid-term exam 25% + Final exam 30% + Student group practice and discussion 10%
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
Expanding teaching and resources	● 參與式創新教學 (Participatory & Innovative Teaching) 強調學生參與與產出，導入翻轉、PBL/專題、設計思考或遊戲化等策略。 Emphasizes student engagement and outcomes by adopting strategies such as Flipped Classroom, PBL (Problem/Project- Based Learning), Design Thinking, or Gamification.
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