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 |