# Math Camp

> Vanderbilt University · ECON 8000 · Fall 2022, Fall 2023, Fall 2025, Fall 2026. Taught by [Maria Titova](https://maria-titova.com/index.md).

Complete lecture notes and archived course materials for ECON 8000: Math for Economists.

## Course materials

- [Fall 2026 syllabus (PDF)](https://maria-titova.com/courses/mathcamp/syllabus.pdf)
- [All lecture notes (PDF)](https://maria-titova.com/courses/mathcamp/materials/lecture-notes.pdf)

## Lectures

1. [Lecture 1: Sets, Functions, Logic, and Proofs](https://maria-titova.com/courses/math-camp/01-language-logic-proof.md)
2. [Lecture 2: Real Analysis in ℝn](https://maria-titova.com/courses/math-camp/02-analysis-for-existence.md)
3. [Lecture 3: Linear Algebra](https://maria-titova.com/courses/math-camp/03-linear-algebra.md)
4. [Lecture 4: Differential Calculus](https://maria-titova.com/courses/math-camp/04-differential-calculus.md)
5. [Lecture 5: Curvature, Convexity, and Separation](https://maria-titova.com/courses/math-camp/05-curvature-convexity-separation.md)
6. [Lecture 6: General Optimization](https://maria-titova.com/courses/math-camp/06-general-optimization.md)
7. [Lecture 7: Constrained Optimization](https://maria-titova.com/courses/math-camp/07-constrained-optimization.md)
8. [Lecture 8: Comparative Statics, Envelopes, and Fixed Points](https://maria-titova.com/courses/math-camp/08-comparative-statics-envelopes.md)
9. [Lecture 9: Dynamic Programming and the Bellman Equation](https://maria-titova.com/courses/math-camp/09-dynamic-programming.md)

## References

- Michael Carter, Foundations of Mathematical Economics (MIT Press, 2001).
- Angel de la Fuente, Mathematical Methods and Models for Economists (Cambridge University Press, 2000).
- Efe A. Ok, Real Analysis with Economic Applications (Princeton University Press, 2007).
- Walter Rudin, Principles of Mathematical Analysis, 3rd edition (McGraw-Hill, 1976).
- Carl P. Simon and Lawrence Blume, Mathematics for Economists (W. W. Norton, 1994).
- Nancy L. Stokey and Robert E. Lucas, Jr., with Edward C. Prescott, Recursive Methods in Economic Dynamics (Harvard University Press, 1989).
- Rangarajan K. Sundaram, A First Course in Optimization Theory (Cambridge University Press, 1996).

Each lecture is also an HTML page at `https://maria-titova.com/courses/math-camp/<slug>`. Math is written in LaTeX (`$...$`).