Cauchy Sequences
| 週次 | 課程內容 | 課程影音 | 課程下載 |
|---|---|---|---|
| 第一章 The Real and Complex Number Systems Fields Axioms, Order Axioms(1/2) | 線上觀看 | MP4下載 | |
| Fields Axioms, Order Axioms(2/2) | 線上觀看 | MP4下載 | |
| Completeness Axioms | 線上觀看 | MP4下載 | |
| 第二章 Basic Topology Cardinality of Sets | 線上觀看 | MP4下載 | |
| Metric Spaces(1/2) | 線上觀看 | MP4下載 | |
| Metric Spaces(2/2) | 線上觀看 | MP4下載 | |
| Compact Sets | 線上觀看 | MP4下載 | |
| Connected Sets(1/2) | 線上觀看 | MP4下載 | |
| Connected Sets(2/2) | 線上觀看 | MP4下載 | |
| 第三章 Numerical Sequences and Series Convergent Sequences | 線上觀看 | MP4下載 | |
| Cauchy Sequences | 線上觀看 | MP4下載 | |
| Upper and Lower Limits | 線上觀看 | MP4下載 | |
| Series of Nonnegative Terms | 線上觀看 | MP4下載 | |
| The Root and Ratio Test | 線上觀看 | MP4下載 | |
| Absolute Convergence, Rearrangements(1/2) | 線上觀看 | MP4下載 | |
| Absolute Convergence, Rearrangements(2/2) | 線上觀看 | MP4下載 | |
| 第四章 Continuity Limits of Functions and Continuous Functions | 線上觀看 | MP4下載 | |
| Continuity and Compactness & Continuity and Connectedness | 線上觀看 | MP4下載 | |
| Discontinuities, Infinite Limits and Limits at Infinity | 線上觀看 | MP4下載 | |
| 第五章 Differentiation The Derivative of a Real Function, Mean Value Theorem(1/2) | 線上觀看 | MP4下載 | |
| The Derivative of a Real Function, Mean Value Theorem(2/2) | 線上觀看 | MP4下載 | |
| L’Hopital’s Rule & Taylor’s Theorem | 線上觀看 | MP4下載 | |
| 第六章 The Riemann-Stieltjes Integral Differentiation of Vector-valued Functions & Definition and Existence of the Integral | 線上觀看 | MP4下載 | |
| Definition and Existence of the Integral | 線上觀看 | MP4下載 | |
| Properties of the Integral(1/2) | 線上觀看 | MP4下載 | |
| Properties of the Integral(2/2) | 線上觀看 | MP4下載 | |
| Integration and Differentiation(1/2) | 線上觀看 | MP4下載 | |
| Integration and Differentiation(2/2) | 線上觀看 | MP4下載 |
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