NCHU Course Outline
Course Name (中) 高等常微分方程(一)(5157)
(Eng.) Advanced Ordinary Differential Equation (I)
Offering Dept Department of Applied Mathematics
Course Type Elective Credits 3 Teacher WU,CHIN-CHIN
Department Department of Applied Mathematics (Data Science and Computing Program) / Undergraduate Language Chinese Semester 2026-SPRING
Course Description 這學期我們主要是分成四個部分。(I)初始問題之解的存在性及唯一性質(II)線性系統的求解及相關問題(III)特徵值問題(IV)方程解的振盪原理及比較原理。
Prerequisites
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
學生能用分析的原理來了解微分方程式之解的行為及性質,並能進而解決其相關的問題
Discussion
Lecturing
Oral Presentation
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 初始問題之解的存在性及唯一性質
Week 2 初始問題之解的存在性及唯一性質
Week 3 初始問題之解的存在性及唯一性質
Week 4 初始問題之解的存在性及唯一性質
Week 5 初始問題之解的存在性及唯一性質
Week 6 線性系統的求解及相關問題
Week 7 線性系統的求解及相關問題
Week 8 線性系統的求解及相關問題
Week 9 線性系統的求解及相關問題
Week 10 特徵值問題
Week 11 特徵值問題
Week 12 特徵值問題
Week 13 特徵值問題
Week 14 特徵值問題
Week 15 方程解的振盪原理及比較原理
Week 16 方程解的振盪原理及比較原理 自主學習 自主學習
self-directed
learning

Evaluation
口頭報告、測驗
Textbook & other References

Teaching Aids & Teacher's Website

Office Hours
TBA
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:2026 / 5 / 31
The second-hand book website:http://www.myub.com.tw/