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Topics covered:
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Number Theory including: |
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 Fundamental Theorems on Arithmetic |
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Linear and quadratic Diophantine equations, including Pell's Equation
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Geometry including: |
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| Properties of the orthocentre, Euler's line, nine-point-circle, Simson line, Ptolemy's inequality, Ceva and Menelaus,etc.
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Algebra including: |
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Arithmetic of residues modulo n, Fermat's and Euler's theorems |
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| Fundamentals Theorems on Algebra, e.g. inequalities, factorization of a polynomial into a product of irreducible polynomials
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Combinatorics including: |
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Graph Theory |
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