Topic: Comprehensive Proof Practicum

Prove Taylor’s Theorem

Prove the Mean Value Theorem

Prove a Monotonicity Theorem

Prove Differentiability Implies Continuity

Prove Rolle’s Theorem

Prove the Extreme Value Theorem

Prove Uniform Continuity on a Compact Set

Prove the Intermediate Value Theorem

Prove a Sequential Compactness Result

Prove a Closed-Set Characterization