Math lessons

🔵Trigonometry: complete lesson (unit circle, sin, cos, tan, formulas)

Unit circle, key values, addition formulas, equations. The full high-school lesson.

➡️Vectors: Complete Lesson (coordinates, collinearity, dot product)

Everything on planar vectors: definition, coordinates, addition, scalar multiplication, collinearity, norm, dot product. Grade 10 lesson.

📈Quadratic Function: Complete Lesson with Interactive Parabola

Everything you need on $ax^2 + bx + c$: parabola, discriminant, roots, vertex, sign, solving — with a live interactive visualization.

🔢Sequences: complete lesson (arithmetic, geometric, limits, induction)

Definition, monotonicity, arithmetic/geometric, limits, induction. The full grade 11-12 lesson.

📊Descriptive statistics: complete lesson (mean, median, quartiles, standard deviation)

Frequency, mean, median, quartiles, variance, standard deviation. The full lesson from middle school to high school.

📐Pythagorean Theorem: Complete Lesson, Proofs and Solved Exercises

A full lesson on the Pythagorean theorem: statement, two proofs, converse, step-by-step method, worked examples and corrected exercises from middle school to high school.

⚖️Linear systems: complete lesson (substitution, combination, matrices)

Solve 2 or 3 equations in several unknowns. Substitution, combination, Gauss pivot. Grade 10-12 lesson.

ℂComplex numbers: complete lesson (i, algebraic, modulus, argument, exponential)

i² = −1. Algebraic, trigonometric, exponential forms. Modulus, argument, conjugate, equations. Full grade-12 lesson.

🎲Probability: complete lesson (sample space, events, conditional, independence)

Sample space, events, computing probability, conditional, independence, weighted tree. The full high-school lesson.

📈Linear function: complete lesson (graph, slope, y-intercept)

f(x) = ax + b. Line, slope, y-intercept, solving. The full grade-10 lesson.

📉Natural Logarithm: Complete Lesson with Properties and Interactive Graph

$\ln$ from A to Z: definition, algebraic properties, derivative, monotonicity, limits, equations and inequalities. With interactive graph.

📈Exponential Function: Complete Lesson with Properties, Derivative and Interactive Graph

$e^x$ from A to Z: definition, algebraic properties, derivative, monotonicity, limits, equations and inequalities. With interactive graph.

½Fractions: Complete Lesson (addition, multiplication, comparison, simplification)

All you need on fractions: simplify, compare, add, multiply, divide. Grades 6-9.

∫Integrals: complete lesson (definite, antiderivatives, area, properties)

Definite integral, link to antiderivatives, computing area, linearity, Chasles' relation, IBP. Full grade-12 lesson.

📉Continuity and limits: complete lesson (definitions, rules, indeterminates)

Finite/infinite limits, continuity, algebra, indeterminate forms, IVT. Full grade-12 lesson.

📉Derivatives: Complete Lesson with Animated Tangent and Key Formulas

Instantaneous rate, tangent line, derivative function. Every exam-level formula, with an interactive tangent visualization.

∫Antiderivatives: Complete Lesson with Formulas and Methods

The inverse of differentiation. Key formulas, linearity, pattern recognition. Grade 12 lesson.

🎯Binomial distribution: complete lesson (Bernoulli, formula, expectation)

n independent 2-outcome trials. P(X = k), expectation np, variance np(1−p). Full grade-12 lesson.