Secondary


x 1 corte
Polynomial and rational functions
19 rooms · 56 challenges
From lines to hyperbolas: graphs, domain, range and how each parameter changes them.
Secondary Functions
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Powers, exponentials and logarithms
23 rooms · 82 challenges
From counting factors to graphing curves: the properties of powers, the exponential function that always ends up winning, and the logarithm as its inverse question.
Secondary Powers Functions
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x y
Linear functions
12 rooms · 29 challenges
Lines y = m·x + n. Slope, intercept and graph recognition.
Secondary Functions
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High school


Function analysis
21 rooms · 105 challenges
From function families to their full graphical analysis: domain, extrema, limits and discontinuities, with zoom to see them up close.
High school Calculus Functions
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x y
The derivative
32 rooms · 85 challenges
From visual intuition to calculation: slopes, limits, numerical differentiation and rules.
High school Calculus Functions
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Circular Trigonometry
25 rooms · 55 challenges
Sine and cosine are born from a point going round a circle. From the unit circle to sound waves, ellipses, the double angle and polar coordinates — and along the way, how a computer draws a circle.
High school Trigonometry Functions Geometry
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f : A → B
Functions: concept, domain and range
16 rooms · 61 challenges
What is (and isn't) a function, injective/surjective/bijective, and how to find the domain of a real function.
High school Functions
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University


x y
Function interpolation
29 rooms · 53 challenges
Approximate unknown values from known data: from the tangent line to Lagrange, Newton, Taylor and cubic splines.
University Calculus Functions Numerical analysis
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2ε 2δ
Continuity: ε, δ and topology
21 rooms · 52 challenges
The ε-δ definition played as a duel, metrics that change the verdict, sequences, and the moment continuity stops needing distances.
University Topology Calculus Functions
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