Basic topological ideas; open and closed sets. 11%
Limits, continuity, and related concepts. 23%
Connectedness, compactness, completeness, and related properties of sets. 17%
Functional properties related to connectedness, compactness, and completeness. 11%
Comparison to, and contrast with, first-semester calculus of a real variable. 17%
Convergence of sequences. 11%
Applications to fields such as physics, engineering, and data analysis. 10%