Learning Math Team

Interactive math team lecture notes with video and Desmos graphs.

Lessons

Date	Session	Topic
Sep 13	Morning	Euler’s Totient Function, Fermat’s Little Theorem & Roots of Unity
Sep 13	Afternoon	Modular Arithmetic, Binomial Expansion, CRT & Symmetry Groups
Sep 20	Morning	Euler’s Formula: e^(iθ) = cosθ + i sinθ
Sep 27	Morning	Complex Logarithms, Inverse Trig & Co-Terminal Angles
Oct 04	Morning	Conic Sections: Ellipses, Hyperbolas & Focal Properties
Oct 04	Afternoon	Conic Sections: Eccentricity, Directrix & the Parabola
Oct 11	Morning	Determinants, Collinearity & Cramer’s Rule
Oct 11	Afternoon	Cramer’s Rule & Solving Systems with Determinants
Oct 18	Morning	Completing the Square, Discriminant & Conic Classification
Oct 18	Afternoon	Factoring Quadratic Forms, Eigenvalues & Conic Classification
Nov 01	Morning	Graphing Cubics, Polynomial Division & Root Multiplicity
Nov 08	Afternoon	Solving Cubics, Vieta’s Formulas & Complex Roots
Nov 29	Morning	Rational Functions: Asymptotes & the Pitfalls of Infinity
Dec 06	Afternoon	Graphing Rational Functions: Long Division to Complete Curve
Dec 13	Session	Tangent Circles, Infinite Series & Binary Factoring
Jan 03	Morning	Riemann Zeta Function Convergence & the Basel Problem
Jan 10	Morning	Catalan Numbers, Lattice Paths & Generating Functions
Jan 24	Morning	Linear Recurrences, Generating Functions & Geometric Series
Feb 02	Morning	Eigenvalues, Eigenvectors & Orthogonal Diagonalization
Feb 21	Afternoon	Rotational Axes of Tilted Conics & the Double-Angle Formula
Mar 01	Session	Eigenvalues, Eigenvectors & Diagonalization of Symmetric Matrices
Mar 07	Session	Matrix Inverses, Cramer’s Rule & Linear Vector Spaces