NCHU Course Outline
Course Name (中) 分析導論(一)(2201)
(Eng.) Introduction to Analysis(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 4 Teacher WANG YA SHU
Department Department of Applied Mathematics / Undergraduate Language Chinese Semester 2025-FALL
Course Description 介紹實數系, 數列, 連續函數, 可微分函數, 函數的積分
Prerequisites 微積分(一),微積分(二)
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
了解實數系、數列、函數的連續、微分和積分
1.Basic Knowledge in Mathematical Sciences
2.Professional Knowledge in Mathematical Analysis
8.English Language Ability
10
80
10
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 1.實數系
Week 2 1.實數系
Week 3 1.實數系
Week 4 1.實數系
2. 數列
Week 5 2. 數列
Week 6 2. 數列
Week 7 2. 數列
3. 連續/均勻連續函數
Week 8 3. 連續/均勻連續函數
期中考
Week 9 3. 連續/均勻連續函數
Week 10 3. 連續/均勻連續函數
Week 11 4. 可微分函數
Week 12 4. 可微分函數
Week 13 4. 可微分函數
Week 14 5. 函數的積分
Week 15 5. 函數的積分
Week 16 期末考

self-directed
learning
   01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.
   02.Viewing multimedia materials related to industry and academia.
   05.Participation in various workshops organized by different departments of NCHU.

Evaluation
期中考,期末考,小考,課堂表現
Textbook & other References
教科書:Introduction to Analysis, W. R. Wade, Pearson, 歐亞書局
參考書目:
1. W. Rudin, Principles of Mathematical Analysis.
2. T.M. Apostol, Mathematical Analysis.
3. J. E. Marsden and M. J. Hoffman, Elementary Classical Analysis.
Teaching Aids & Teacher's Website

Office Hours
256, 45
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:2025/09/23 13:58:51 Printed Date, year/month/day:2026 / 5 / 15
The second-hand book website:http://www.myub.com.tw/