
Lecture 21: The Riemann Integral of a Continuous Function
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Lecture 20: Taylor's Theorem and the Definition of Riemann Sums
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Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem
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Lecture 18: Weierstrass's Example of a Continuous and Nowhere Differentiable Function
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Lecture 17: Uniform Continuity and the Definition of the Derivative
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Lecture 16: The Min/Max Theorem and Bolzano's Intermediate Value Theorem
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Lecture 15: The Continuity of Sine and Cosine and the Many Discontinuities of Dirichlet's Function
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Lecture 14: Limits of Functions in Terms of Sequences and Continuity
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Lecture 13: Limits of Functions
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Lecture 12: The Ratio, Root, and Alternating Series Tests
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