Fields
Mathematics
Algebra, geometry, trigonometry, calculus, statistics, and linear algebra — the language of the other fields.
Topics
Basics · Formulas Basics · Formulas Basics · Formulas Basics · Formulas Basics · Formulas Basics · Formulas Basics · Formulas Basics · Formulas Basics · Formulas
Algebra and geometry
Equations, exponentials and logs, Pythagoras, circles.
Trigonometry and calculus
Trig ratios, identities, derivatives, integrals.
Statistics and linear algebra
Mean, variance, Bayes, matrices, eigenvalues.
Discrete, complex, series
Sequences, series, complex numbers, combinatorics.
Limits and number-theory sketch
Limits, continuity, primes, congruences.
Differential equations and series
First-order linear, harmonic oscillator, Taylor and geometric series.
Vectors and space
Vectors, dot and cross products, planes, and distance in 3D.
Conic sections
Parabola, ellipse, hyperbola, eccentricity, foci, and an orbit sketch.
Fourier sketch
Sines that rebuild a periodic function, coefficients, spectra, and a discrete-transform note.