第二章 Basic Topology, Cardinality of Sets

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)
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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
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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
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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
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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)
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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
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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