Undergraduate analysis

Sequences and series, continuity, differentiation, Riemann integration, and compactness in \(\RR^n\) and metric spaces.

• Definitions and notation.

• Sequences and series.

• Continuity and differentiability.

• Riemann integrability.

• Sets and compactness.

• Commuting limits – interchanging limits, sums, derivatives, and Riemann integrals.

• Theorem list and techniques and standard facts.