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. Fourier series: the “bones” of a function
4. Fourier analysis on real data
5. Approximating differential equations
6. Approximating areas and integrals
7. Monte Carlo methods
8. Finding roots of functions
8.1. Motivation and plan
8.2. Newton’s method
8.3. Other methods
9. Resources and further reading
Supplementary materials
1. Appendix: How to build this book
2. Glossary Terms
Math and Science Working Groups
8.
Finding roots of functions
View page source
8.
Finding roots of functions
test
8.1.
Motivation and plan
8.2.
Newton’s method
8.3.
Other methods