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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.
- Introduction: Angles, Polygons, and Circles
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.
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.
- Ancient Chinese Number System
- Chinese Written Numbers
- Chinese Magic Number Square
- Mathematics in the Emperor's Court
- Mathematics Essential to Chinese State
- Ancient Chinese Equations
- Chinese Remainder Theorem
- Golden of Chinese Math
- Cubic Equations
- Mathematics of India
- Indian Mathematics: Invention of Zero
- Zero and Nothingness
- Indian Mathematics and Father of Zero
- India: Quadratic Equations
- India: Trigonometry and Sine Functions
- Mathematics: Concept of the Infinite
- Indian Mathematics
- Non-Western Mathematics
- Muslim Scholars
- Islam: Intellectual Curiosity
- Universal Language of Algebra
- Cubic Equations and Omar Khayyam
- General Solution to Cubic Equations: Fibonacci
- Fibonacci Sequence: Nature's Favorite Numbers
- Modern Europe's Mathematical Breakthrough
- Western World's Mathematical Revolution