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
12.1. Motivation and plan
12.2. Newton’s method
12.3. Other methods
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
Math and Science Working Groups
12.
Finding roots of functions
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12.
Finding roots of functions
test
12.1.
Motivation and plan
12.2.
Newton’s method
12.3.
Other methods