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Math: Finding Films

Guide to CTC Math reasources

Angles

Students will figure out the area of everyday shapes like circles, squares, rectangles, triangles, and polygons. After that we will be introduced to cones, prisms, and cylinders. Topics include: Angles, Triangles, Polygons, Circles, and Volume.

Segments:

  1. Introduction: Angles, Polygons, and Circles
  2. Angles
  3. Triangles
  4. Polygons
  5. Circles
  6. Volume

Calculus

The Fundamental Theorem of Calculus is the theorem that relates the derivative to the integral.

Part 2 of the Fundamental Theorem of Calculus defines the integral as the area under the curve.

Mathematics HIstory

During Europe’s Middle Ages, mathematics flourished primarily on other shores. This program follows Professor Marcus du Sautoy as he discusses mathematical achievements of Asia, the Islamic world, and early-Renaissance Europe. Topics include China’s invention of a decimal place number system and the development of an early version of sudoku; India’s contribution to trigonometry and creation of a symbol for the number zero, as well as Indians’ understanding of the concepts of infinity and negative numbers; contributions of the empire of Islam, such as the development of algebra and the solving of cubic equations; and the spread of Eastern knowledge to the West through mathematicians like Leonardo Fibonacci. 

Segments:

  1. Ancient  Chinese Number System
  2. Chinese Written Numbers
  3. Chinese Magic Number Square
  4. Mathematics in the Emperor's Court
  5. Mathematics Essential to Chinese State
  6. Ancient Chinese Equations
  7. Chinese Remainder Theorem
  8. Golden of Chinese Math
  9. Cubic Equations
  10. Mathematics of India
  11. Indian Mathematics: Invention of Zero
  12. Zero and Nothingness
  13. Indian Mathematics and Father of Zero
  14. India: Quadratic Equations
  15. India: Trigonometry and Sine Functions
  16. Mathematics: Concept of the Infinite
  17. Indian Mathematics
  18. Non-Western Mathematics
  19. Muslim Scholars
  20. Islam: Intellectual Curiosity
  21. Universal Language of Algebra
  22. Cubic Equations and Omar Khayyam
  23. General Solution to Cubic Equations: Fibonacci
  24. Fibonacci Sequence: Nature's Favorite Numbers
  25. Modern Europe's Mathematical Breakthrough
  26. Western World's Mathematical Revolution