NCHU Course Outline
Course Name (中) 物理數學(一)(2283)
(Eng.) Mathematical Physics(I)
Offering Dept Department of Physics (Optoelectronics Program)
Course Type Required Credits 3 Teacher HUANG WEN MIN
Department Department of Physics (Optoelectronics Program)/Undergraduate Language English Semester 2025-FALL
Course Description 數學為物理的語言,本課程的目標是培養學生熟習在物理課程上,所需要的數學。藉此學習了解與解決物理問題。上學期課程將著重在,如何解決在物理學中的微分方程式,包括一階,二階微分方程式,與在物理學中的特殊函數。
Prerequisites
self-directed learning in the course Y
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
學習並了解與解決物理問題的數學之技巧與相關知識,使學生具備基礎數學能力,最重要是,介紹其能夠使用在相關之物理專業科目。上學期課程,將學習如何解物理學中的微分方程式。
2.Professional knowledge and skills
3.Problem analysis and logical deduction
50
50
Exercises
Discussion
Lecturing
Attendance
Oral Presentation
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 *實際教學進度將視學生吸收情況調整*
微分方程簡介
Week 2 一階常微分方程之求解
Week 3 積分因子
Week 4 二階線性常微分方程之求解
Week 5 二階線性常微分方程之求解
Week 6 二階線性常微分方程之求解
Week 7 高階常微分方程與一階常微分方程組
Week 8 期中考
Week 9 一階常微分方程組之求解
Week 10 常微分方程之冪級數解
Week 11 常微分方程之冪級數解
Week 12 特殊函數與 Legendre多項式
Week 13 Bessel函數
Week 14 Bessel函數與 Gamma函數
Week 15 Sturm-Liouville問題
Week 16 期末考 自主學習 自主學習
self-directed
learning

Evaluation
作業40%,期中考30%,期末考30%
Textbook & other References
Mathematical Methods in the Physical Sciences (3rd edition), Mary L. Boas, Wiley
Teaching Aids & Teacher's Website
課本、教師講義
Office Hours
有需要的學生可以以電子信箱與授課老師預約時間
Sustainable Development Goals, SDGs(Link URL)
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:None Printed Date, year/month/day:2025 / 6 / 18
The second-hand book website:http://www.myub.com.tw/