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Thm 16 - second derivatives are symmetric

Statement and Proof of Theorem 14 (Interchanging limits)

If Partials exist and are continuous then the function is differentiable

Product Spaces

Proof of Thm 12.2 (more on limsups and liminfs)

Conclusion to Monotone Sequences Lecture

Intro to Cauchy Sequences

Intro to Subsequences

Intro to Limits

Venn Diagram Example

Proof that f(x)=1/x^2 is uniformly continuous on [a, \infty)

Proof that uniformly continuous functions preserve cauchyness

Proof that a continuous function on a closed interval is uniformly continuous

More Properties of Riemann Integration

Differentiation: Taylor’s Theorem

Differentiation: Mean Value Theorem and More

Example: Solving trig equations

Conclusion to Intro to Integration Lecture

Basic Properties of the Derivative

More On Integration and Differentiation of Power Series

An Example: Power Series that is not uniformly convergent on a set

Determining Limits (involving absolute values)

104: Uniform Convergence and Differentiability

Math 13: Practice Determining Null and Alternative Hypotheses