← Theoretical / proof-based

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In this program

Topology of R: open and closed sets, compactness, and the Heine–Borel theorem
Limits of functions
Continuity
Intermediate value theorems (with proofs)
Uniform continuity
Its distinction from pointwise continuity

Topology and continuity

Intermediate value theorems (with proofs)

Real analysis · Theoretical / proof-based

Topic

Intermediate value theorems (with proofs)

Practice by unit: Topology and continuity

Undergraduate Real Analysis — scope drawn from open analysis notes (e.g. Abbott-style / LibreTexts real analysis sequences) and typical US intro real analysis syllabi.

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