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. Fourier series: the “bones” of a function
6. Fourier analysis on real data
7. Approximating differential equations
8. Approximating areas and integrals
9. Monte Carlo methods
10. Finding roots of functions
10.1. Motivation and plan
10.2. Newton’s method
10.3. Other methods
11. Resources and further reading
12. Appendix: Math for research - sample lesson plans
Supplementary materials
1. Appendix: How to build this book
2. Glossary Terms
Math and Science Working Groups
10.
Finding roots of functions
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10.
Finding roots of functions
test
10.1.
Motivation and plan
10.2.
Newton’s method
10.3.
Other methods