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- Angles
- Vector operations
- Vector applications
- Vector basics
- Functions and Graphs
- Complex numbers as vectors
- Trigonometry
- Derivatives of trigs, exponents and logs
- Applications of integration
- Geometry
- Chain, product and quotient rules
- Definite integrals
- Maxima and minima
- Indefinite integration
- Geometric integration
- Shapes
- Right-angle triangles, sine and cosine
- Trigonometric integration

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Mathematics is the most important tool of science. The quest to understand the world and the universe using mathematics is as old as civilisation, and has led to the science and technology of today. Learn about the techniques and history of mathematics on ScienceLibrary.info.

Question: There are 64 squares on a chessboard. If you place 1 rice grain on the first square, 2 on the second, 4 on the third, etc., how many rice grains will be on the 64th square?

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