**Real analysis **is the study of the foundations of calculus. The goal is to provide formal definitions and rigorous proofs of the key concepts of calculus, starting from axioms for the real numbers.

**Course components**

- Limits
- Continuity
- Uniform continuity
- Derivatives
- Integrals
- Sequences and series
- Convergence of Fourier series

Flath’s notes on the textbook *A Radical Approach to Real Analysis* by David Bressound.