Math and Science Working Groups

Date

Dec 16, 2024

Author

Mark Galassi <mark@galassi.org>

Contents:

• 1. Introduction and notes for teachers
  • 1.1. Overall motivation and plan
  • 1.2. Prerequisites
  • 1.3. Notes for teachers
  • 1.4. A case to whet your appetite
• 2. Logistics for specific courses
  • 2.1. Fall/winter 2024 - visualizing algebra
  • 2.2. OLD: Winter/spring 2024 - math for research
  • 2.3. OLD: Fall/winter 2023 - visualizing algebra
  • 2.4. OLD: Winter/spring 2023 - math for research
  • 2.5. OLD: Winter 2022-2023

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
• 11. Appendix: visualizing algebra - sample lesson plans

Part II -- Math for research

• 12. Math for research: motivation and review of prerequisites
• 13. Approximating functions with series
• 14. Fourier series: the “bones” of a function
• 15. Fourier analysis on real data
• 16. Approximating differential equations
• 17. Approximating areas and integrals
• 18. Monte Carlo methods
• 19. Finding roots of functions
• 20. Resources and further reading

Supplementary materials

• 21. Appendix: How to build this book
  • 21.1. Prerequisites for building the book
  • 21.2. Cloning from codeberg.org
  • 21.3. Building the book
• 22. Glossary Terms

Bibliography

Abr21

Jay Abramson. Algebra and Trigonometry 2e. OpenStax, Place of publication not identified, 2021. ISBN 9781938168376. URL: https://openstax.org/details/books/algebra-and-trigonometry-2e.

Bac77

J Backus. Musical note to frequency conversion chart. http://www.audiology.org/sites/default/files/ChasinConversionChart.pdf, 1977. Accessed: 2016-05-06.

Lin16

Samuel J. Ling. University physics. volume 1. 2016.

Sav14

Ivan Savov. No bullshit guide to math and physics. Minireference Co., 2014.

Indices and tables

• Index

• Module Index

• Search Page