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S02 - DeMoivre's theorem : Solve x^4 + x^3 + x^2 + x + 1 = 0
- 1. Solve x^5 - 1 = 0 by Demoivre's theorem
- 2. Use (x^5 - 1) = (x - 1)*(x^4 + x^3 + x^2 + x + 1)
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D001- DeMoivre's Theory (1)
- 1. Expand (1 + i)^3
- 2. Expand (1 + i)^5
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D002- DeMoivre's Theory (2)
- 1. Solve x^5 - 1 = 0
- 2. Solve x^4 + x^3 + x^2 + x + 1 = 0 by construction
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S41 - Determinant of order 4 : Co-factor
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D003- Difference of sequences
- 1. Find 2nd difference of 1, 4, 9, 16, 25, ....
- 2. Find 3rd difference of 1, 8, 27, 64, 125, .....
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S22 - Directrix of parabola
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S34 - Directrix of y = 1/x
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S112- Distance of inside point of equilateral triangle equals height
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S102- Divergent series : 0 + 0 + 0 + 0 + ..... = 1
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S103- Divergent series : Harmonic series Sum[1/n] is divergent
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S100- Use graphs to estimate domains of the signs of y, y' and y"
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