# 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)
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