Math and Science Working Groups
2024.01.10
Contents:
1. Introduction and notes for teachers
2. Logistics for specific courses
Part I -- Visualizing algebra
3. Visualizing algebra: motivation and review of prerequisites
4. Introducing symbolic algebra
5. Visualizing functions
6. The pantheon of functions
7. Tour of polynomial geometry
8. Solving difficult equations
9. Data visualization
10. Fitting
11. Appendix: visualizing algebra - sample lesson plans
Part II -- Math for research
12. Math for research: motivation and review of prerequisites
13. Approximating functions with series
14. Fourier series: the “bones” of a function
15. Fourier analysis on real data
16. Approximating differential equations
17. Approximating areas and integrals
18. Monte Carlo methods
19. Finding roots of functions
19.1. Motivation and plan
19.2. Newton’s method
19.3. Other methods
20. Resources and further reading
Supplementary materials
21. Appendix: How to build this book
22. Glossary Terms
Math and Science Working Groups
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19.
Finding roots of functions
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19.
Finding roots of functions
test
19.1.
Motivation and plan
19.2.
Newton’s method
19.3.
Other methods