Math and Science Working Groups
2022.01.10
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
Part II -- Math for research
11. Math for research: motivation and review of prerequisites
12. Approximating functions with series
13. Fourier series: the “bones” of a function
14. Fourier analysis on real data
15. Approximating differential equations
16. Approximating areas and integrals
17. Monte Carlo methods
18. Finding roots of functions
18.1. Motivation and plan
18.2. Newton’s method
18.3. Other methods
19. Resources and further reading
Supplementary materials
20. Appendix: How to build this book
21. Glossary Terms
Math and Science Working Groups
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18.
Finding roots of functions
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18.
Finding roots of functions
test
18.1.
Motivation and plan
18.2.
Newton’s method
18.3.
Other methods