Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	348334	Engineering Mathematics (I)	1	3.0	3	▲	Hao-Shun Yang	4EN2A	60	1

Course Plan：

Instructor	Hao-Shun Yang　Office Hours
Email	haoshun@ntut.edu.tw
Last Updated	2025-05-23 10:23:29
Course Objective	瞭解工程系統中常用數學之原理及應用，內容包含：1.常微分一階、二階及高階方程式之解法，2.拉普拉斯 (Laplace)變換及其在電路上之應用，3.冪級數及其在微分方程上之解法。 1.Ordinary differential equations of the first order 2.Linear ordinary differential equations of the second order 3.Laplace transforms 4.Power series
Course Schedule	Week 1: First-Order Ordinary Differential Equations (ODEs) Week 2: Separable ODEs Week 3: Exact ODEs Week 4: Linear ODEs Week 5: Higher Order Linear ODEs Week 6: Homogeneous Linear ODEs Week 7: Nonhomogeneous ODEs Week 8: Systems of ODEs Week 9: Midterm Exam Week 10: Taylor Series Week 11: Laplace Transforms Week 12: Unit Step, Delta, and Gamma Functions Week 13: Laplace Transforms of Derivatives and Integrals Week 14: Convolution Week 15: Frobenius Series Week 16: Bessel Function Week 17: Partial Differetial Equations (PDEs) Week 18: Final Exam
Evaluation and grading policy	Midterm Exam 期中考 40% Final Exam 期末考 60%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Erwin Kreyszig, Advanced Engineering Mathematics: 10th Edition, Wiley
The access to curricular consultation	Email: haoshun@mail.ntut.edu.tw
Expanding teaching and resources
The course corresponds to the SDGs	無（None）
Does the course incorporate AI	● 無（None）
Note	Email: haoshun@mail.ntut.edu.tw 北科i學園PLUS