Math and Science Working Groups
2024.01.10

Contents:

  • 1. Introduction and notes for teachers
  • 2. Logistics for specific courses

Part I -- Visualizing algebra

  • 1. Visualizing algebra: motivation and review of prerequisites
  • 2. Introducing symbolic algebra
  • 3. Visualizing functions
  • 4. The pantheon of functions
  • 5. Tour of polynomial geometry
  • 6. Solving difficult equations
  • 7. Data visualization
  • 8. Fitting
  • 9. Appendix: visualizing algebra - sample lesson plans

Part II -- Math for research

  • 1. Math for research: motivation and review of prerequisites
  • 2. Approximating functions with series
  • 3. Calculating Taylor coefficients
  • 4. More taylor series
  • 5. Taylor series – applications and intuition
  • 6. Fourier series: the “bones” of a function
  • 7. Fourier analysis on real data
  • 8. Fourier analysis on sound and music
  • 9. Approximating differential equations
  • 10. Approximating areas and integrals
  • 11. Monte Carlo methods
  • 12. Finding roots of functions
  • 13. Resources and further reading
  • 14. Appendix: Math for research - sample lesson plans

Supplementary materials

  • 1. Appendix: How to build this book
  • 2. Glossary Terms
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