本課程為高等微積分（3-3學分）的延續性課程，本學期的主要內容有：Metric Spaces, Fundamental Theorems of Vector Calculus, 以及Fouier Series等。課程的目標為使同學瞭解數學分析中較深入的理論及其應用，並將加強同學在數學論證以及表達方面的訓練，以便為未來修習更進階的科目或從事相關領域的研究奠立紮實的基礎。This course is a continuous course of advanced micro-scores (3-3 points). The main contents of this course include: Metric Spaces, Fundamental Theorems of Vector Calculus, and Fouier Series. The purpose of the course is to enable students to understand the more in-depth theories and applications in mathematical analysis, and will strengthen students' training in mathematical certification and expression, so as to lay a solid foundation for future research in advanced subjects or related fields.
1. William R. Wade, An Introduction to Analysis, 4th Edition. (Ch.10, 13, 14)
2. 課程講義
1. William R. Wade, An Introduction to Analysis, 4th Edition. (Ch.10, 13, 14)
2. Course lectures
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 期中考期中考 Midterm exam |
30 | |
| 期末考期末考 Final exam |
30 | |
| 課堂報告課堂報告 Class Report |
40 | 包括上台講解及書面報告。 |
