Learn all of maths, in order.

From counting to the open problems. Pick where you are; every lesson shows its steps, draws the picture, and hides the answer until you ask.

Or bring your own problem

Type it, or draw it with your mouse or finger. Equations, derivatives, matrices, triangles, primes — or a word problem the tutor breaks into parts.

What each stage covers

每个都是一组课程, 与现场工作的例子, 视觉, 和一个求解器调整它。

Stage 1 Arithmetic Numbers, fractions, percentages and the order of operations. Stage 2 Algebra Equations, inequalities, factoring, functions and systems. Stage 3 Geometry Triangles, circles, polygons, solids and coordinates. Stage 4 Trigonometry Angles, the unit circle, identities and trig equations. Stage 5 Precalculus Functions in depth, complex numbers, sequences, conics and vectors. Stage 6 Calculus Limits, derivatives, integrals, series and optimisation. Stage 7 Linear Algebra Matrices, determinants, inverses, row reduction and eigenvalues. Stage 8 Statistics & Probability Averages, spread, counting and probability. Stage 9 Discrete Math & Logic Counting, logic, truth tables, sets and proof. Stage 10 Number Theory Primes, divisibility, gcd, modular arithmetic and sequences. Stage 11 Differential Equations Equations whose unknown is a function: growth, oscillation, and how physics is written. Stage 12 Analysis Limits made rigorous: sequences, series, convergence, improper integrals, complex numbers as functions. Stage 13 Frontiers The open problems — Riemann, Navier–Stokes, P vs NP — broken into what you need to even read them.

如何运作

1

Type it or draw it

“derivative of x² sin x”, “is 561 prime”, “triangle 3 4 5” — or sketch the equation on the pad and it is read for you.

2

观察每一步动作

每步一条规则——产品规则、行操作、欧几里德分区——动画,并在一句中加以解释。

3

看着它的形状

根部标记的曲线、可以旋转的表面、绘制到比例的三角形、因子树、作为空间矢量的矩阵。

4

也不可能的也不可能

单词问题,证据,未决问题: 老师把它打破成部分你可以攻击, 告诉你什么是已知的, 隐藏解决方案直到你想要它。