本學期課程目標為使學生瞭解級數之斂散性以及多變數函數微積分的嚴格數學理論，培養良好的數學分析能力，主要內容包括 Infinite Series of Real Numbers and Functions、Introduction to Euclidean Spaces、Convergence in R^n、Differentiability on R^n、Integration on R^n 等等。The goal of this semester's course is to enable students to understand the convergence and divergence of series and the rigorous mathematical theory of multivariable function calculus, and to develop good mathematical analysis skills. The main contents include Infinite Series of Real Numbers and Functions, Introduction to Euclidean Spaces, and Convergence in R ^n, Differentiability on R^n, Integration on R^n, etc.
在微積分的基礎下，如何從最基本的數學觀念和嚴謹的邏輯推理，一步一步的分析，並解決所面對的問題。
On the basis of calculus, how to analyze and solve the problems faced step by step from the most basic mathematical concepts and rigorous logical reasoning.
W.R. Wade, Introduction to Analysis, 4rd Edition 2014
W.R. Wade, Introduction to analysis, 4RD edition 2014
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 期中考期中考 midterm exam |
25 | |
| 期末考期末考 final exam |
25 | |
| 小考小考 Quiz |
35 | 約每兩週一次（視情況調整）。 |
| 其他（包含作業、平時成績等等）其他（包含作業、平時成績等等） Others (including homework, daily grades, etc.) |
15 | 課堂點名4次（含）未到者此部分成績以0分計算。 |
