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. Approximating differential equations
9. Approximating areas and integrals
10. Monte Carlo methods
11. Finding roots of functions
11.1. Motivation and plan
11.2. Newton’s method
11.3. Other methods
12. Resources and further reading
13. Appendix: Math for research - sample lesson plans
Supplementary materials
1. Appendix: How to build this book
2. Glossary Terms
Math and Science Working Groups
11.
Finding roots of functions
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11.
Finding roots of functions
test
11.1.
Motivation and plan
11.2.
Newton’s method
11.3.
Other methods