Notes Handouts 75
- Warm Up (Combinatorics)
- Games
- Optimization
- Coloring proofs
- Warm Up (Algebra)
- $a^3 + b^3 + c^3 - 3abc$
- Invariance principle
- Polynomials
- Quadratic polynomials
- Cubic polynomials
- Quartics
- Viete's relations
- Differentiation and multiple roots
- Finite differences
- Telescoping
- Growth of polynomials
- Binomial theorem
- Arithmetic progressions
- Rational and irrational numbers
- Auxiliary configuration
- Induction
- Inclusion-exclusion principle
- Invariance principle
- Pigeonhole principle
- Extremal principle
- Arrange in order
- Grouping in pairs
- Counting
- Counting via bijections
- Counting the complement
- Counting in two different ways
- Generating functions
- Size of the roots
- Roots of unity
- Complex numbers
- Crossing the $x$-axis
- Lagrange interpolation
- Integer divisibility
- Functional equations
- System of equations
- Inequalities
- Functions
- Induction
- Quadratic polynomials
- Cubic polynomials
- Using identities
- Binomial coefficients
- Primes, divisors, and congruences
- System of equations
- Chinese remainder theorem
- Gauss's lemma
- Irreducibility
- Orders
- Primes
- Triangles
- MOPSS, 5th July 2025
- MOPSS, 19th July 2025
- MOPSS, 9th August 2025
- MOPSS, 23rd August 2025
- IMO Training Camp 2025
- Simon Marais Mathematics Competition (SMMC) Online Camp
- MOPSS, 27th September 2025
- Lifting the exponent
- Infinite descent
- Quadratic reciprocity
- Warm up
- Polygons
- Parallelograms
- Pythagoras' theorem
- MOPSS, 11th October 2025
- MOPSS, 18th October 2025
- MOPSS, 25th October 2025
- MOPSS, 8th November 2025
- MOPSS, 22nd November 2025
- MOPSS, 29th November 2025