200_ideas_-_Exploration__1_ - Maths SL HL 202 Exploration Ideas\/Topics Algebra Number Theory Modular arithmetic Goldbachs conjecture Probabilistic

200_ideas_-_Exploration__1_ - Maths SL HL 202 Exploration...

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Maths SL & HL 202 Exploration Ideas/Topics Algebra & Number Theory Modular arithmetic Goldbach’s conjecture Probabilistic number theory Applications of complex numbers Diophantine equations Continued fractions General solution of a cubic equation Applications of logarithms Polar equations Patterns in Pascal’s triangle Finding prime numbers Random numbers Pythagorean triples Mersenne primes Magic squares & cubes Loci and complex numbers Matrices and Cramer’s rule Divisibility tests Egyptian fractions Complex numbers & transformations Euler’s identity: 1 0 i e Chinese remainder theorem Fermat’s last theorem Natural logarithms of complex numbers Twin primes problem Hypercomplex numbers Diophantine application: Cole numbers Odd perfect numbers Euclidean algorithm for GCF Palindrome numbers Factorable sets of integers of the form ak + b Algebraic congruences Inequalities related to Fibonacci numbers Combinatorics – art of counting Boolean algebra Graphical representation of roots of complex numbers Roots of unity Statistics & Modelling Traffic flow Logistic function and constrained growth Modelling growth of tumours Modelling epidemics/spread of a virus
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