mustafa
(Mustafa)
1
Math Year 1
- Geometry - parallel lines
- Geometry - sum of angles and angle chasing
- Geometry - triangle congruency
- Geometry - parallelograms
- Geometry - various proofs and other shapes: kite, rhombus, rectangles
- Geometry - Similar triangles
- Algebra - linear equations and linear sequences: Junior Math Olympiad: Algebra 101
- Algebra - Advanced sequences and Telescoping sums
- Algebra - Geometric sequences
- Algebra - Quadratic equations: Math junior: Quadratic equations
- Combinatorics - Basic counting
- Combinatorics - Permutation and Combinations
- Number theory - Parity (Even/Odd) problems
- Number theory - Intro to divisibility
- Number theory - \gcd
Math Year 2
- Number theory - Modulo arithmetic
- Geometry - Trapezoids
- Combinatorics - intro to probability
- Geometry - Intro to geometry of the circle
- Geometry - Cyclic quadrilaterals and Power of point
- Algebra - Intro to functions
- Geometry - Intro to triangle centers
- Geometry - Intro to trigonometry
- Geometry - Intro to complex numbers
- Algebra - Intro to inequalities
- Number theory - Prime orders
Math Year 3
- Geometry - Ceva and Menelaus
- Geometry - Inversion
- Geometry - Cross-ratio and harmonic projections
- Geometry - Pole & Polars
- Geometry - Spiral similarity
- Combinatorics - Induction
- Combinatorics - Intro to graph theory
- Combinatorics - Intro to game theory
- Algebra - Polynomials
- Number theory - Dirichlet’s theorem
- Number theory - Quadratic residues