---
# System prepended metadata

title: 問題高微都來自異世界？
tags: [Calculus, Math, Tab]

---

---
tags: Calculus,Tab,Math
---
# 問題高微都來自異世界？
## 前言
高等微積分，但上起課來總覺得更接近於進階版的大一微積分，跟印象中的高等微積分=實分析、分析導論實在有些差距。

這份筆記主要的目的是清楚完整，而不是重點整理，為了方便未來的我可以複習。

如果未來還有興趣的話，會想去看清大高淑蓉的高等微積分，不過就如同代數所說的，就交給未來的我吧。

### 課程須知
:::spoiler
每週小考兩次，20%
期中兩次，各25%
期末 30%


109-2 Advenced Calculus II By 潘志祥
Textbook: An introduciton to Analysis. By Wade.
:::

##### 常用符號
εδ

# Table of content
## Exam I

* [Exam I Exercise](/v4cwE8XmTF6PzQSGnd-qFw)
* [Exam I Notice](/3qY_TQlhQlazCEg6GjQLZw)

### Chapter 6 Infinite Series of Real Numbers
* [6.1~6.2 Series with non-negative terms.](/FH2KwSFbRkGkF3WdUxQb0Q?both)
* [6.3 Absolute convergence](/yV3bqnskTdGbjGVTXaNSxg)
* [6.4 Alternationg series test](/qRU2L4RNTlCDS6DcxLG7Fg)

### Chapter 7 Infinite Series of Functions
* [7.1 Uniform Convergence of Sequences](/CogTw9I9Q1akW21wZmX2Eg)
* [7.2 Uniform Convergence of Series](/qe0uPUrRRGSZGqbqJO-RvA)
[7.3. Power Series](/IUsZ6uLjQ22vYCfLiEUVgQ)

## Exam II

### Chapter 8 Euclidean Spaces
[8.3.  Topology in $R^2$, $R^3$ ](/mIT6gH7yTsyn226lLwGEGQ)
[8.4 Interior, closure and boundary](/PVqMw1cxS5qVj9SwPrSGaw)

### Chapter 9 Convergence in $R^n$.
[9.1 Sequences in $R^n$](/b-ne5HSFRr-9ieEjZfoPzw)
[9.2 Heine-Borel Theorem](/95kWs1kqRNmqqYpeCc8oGw)
[9.3 Limits of Functions](/h1JYqD4KTmC_uIDkEIeKRg)
[9.2 Continuous function](/VXeWVu8cT8y7L9ZOkZYj3A)

### Chapter 11 Differentiability on $R^2$
[11 Differentiability on $R^2$](/Rzv4Z9JlSt-ojpu9Bq0YCw)
[12 Integration on $R^2$](/LWqVDAX0SsGwofWbIocxcw)
[回到目錄](/E7yJsRkfSeyRbVrNR3BVOQ)