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Introduction to Mathematical Chaos (Spring 2021-22)

Ma 4/104Spring 2021-22Caltech

An introduction to chaos theory and fractals in the context of dynamical systems.

Overview

This class gives an introduction to chaos theory and fractals in the context of dynamical systems.

Course prerequisites

  • linear algebra
  • calculus
  • elementary knowledge of ordinary differential equations

Meeting time and location

  • Tuesday and Thursday, 10:30 – 11:55 am
  • Offered online via Zoom

Instructor

  • Sarthak Parikh (he/him) · Office hours online by appointment

Grading

  • Problem sets: 60% (4 × 15%)
  • Final presentation: 30%
  • Class participation: 10%

References

  • Alligood, Sauer, and Yorke, Chaos: An Introduction to Dynamical Systems
  • Pesin and Climenhaga, Lectures on Fractal Geometry and Dynamical Systems