In this program
- Sequences and series of functions
- Power series and analytic functions (introduction)
- Metric spaces (optional capstone): definitions and examples
Advanced topics
Sequences and series of functions
Real analysis · Theoretical / proof-based
Topic
Sequences and series of functions; pointwise vs uniform convergence
Undergraduate Real Analysis — scope drawn from open analysis notes (e.g. Abbott-style / LibreTexts real analysis sequences) and typical US intro real analysis syllabi.