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Maths Special Courses: Basic to Advanced Series

Number theory, algebra, geometry, probability, statistics, combinatorics, graph theory and game theory, each taught from first principles to advanced technique

8 courses found

Student working through probability distributions and expected value
Special Courses Maths

Probability: Basic to Advanced

Probability from counting and conditional probability through distributions and limit theorems to Markov chains and...

Class 9 - Undergraduate Enquire
Student working through modular arithmetic and divisibility proofs by hand
Special Courses Maths

Number Theory: Basic to Advanced

Number theory from divisibility and modular arithmetic through CRT, Fermat and Euler to quadratic reciprocity and...

Class 9 - Undergraduate Enquire
Student analysing data distributions and regression output
Special Courses Maths

Statistics: Basic to Advanced

Statistics from descriptive measures and sampling through estimation, hypothesis testing and regression to Bayesian...

Class 9 - Undergraduate Enquire
Student working through a systematic counting argument
Special Courses Maths

Combinatorics: Basic to Advanced

Combinatorics from permutations and bijections through pigeonhole and inclusion-exclusion to generating functions...

Class 9 - Undergraduate Enquire
Network graph showing vertices and connecting edges
Special Courses Maths

Graph Theory: Basic to Advanced

Graph theory from vertices and degree through trees, connectivity, matching and colouring to spectral methods and the...

Class 9 - Undergraduate Enquire
Students analysing a strategic game with payoff matrices
Special Courses Maths

Game Theory: Basic to Advanced

Game theory from payoff matrices and dominance through Nash equilibria and backward induction to Sprague-Grundy...

Class 9 - Undergraduate Enquire
Student working through polynomial algebra and inequalities
Special Courses Maths

Algebra: Basic to Advanced

Algebra from factorisation and quadratics through polynomials, functional equations and inequalities to groups, rings...

Class 9 - Undergraduate Enquire
Student constructing a geometric diagram with circle theorems
Special Courses Maths

Geometry: Basic to Advanced

Geometry from angles and triangles through circle theorems and similarity to projective methods, inversion and the...

Class 9 - Undergraduate Enquire

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