These lecture notes are an introduction to undergraduate real analysis. They cover the real numbers and one-variable calculus.

## Lecture Notes: By Chapter

- Contents
- Chapter 1: Sets and Functions
- Chapter 2: Numbers
- Chapter 3: Sequences
- Chapter 4: Series
- Chapter 5: Topology of the Real Numbers
- Chapter 6: Limits of Functions
- Chapter 7: Continuous Functions
- Chapter 8: Differentiable Functions
- Chapter 9: Sequences and Series of Functions
- Chapter 10: Power Series
- Chapter 11: The Riemann Integral
- Chapter 12: Applications of the Riemann Integral
- Chapter 13: Metric, Normed, and Topological Spaces
- Bibliography