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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- Spring '16
- jane smoth
- Number Theory, Pythagorean Theorem, Complex Numbers, Prime number