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Calculus

The groundwork first: lines, functions, and reading a graph off its rule. Each topic opens with the rules, then the order to apply them in, then a worked solution for every kind of problem.

Graphing calculatorPlot up to four functions, pan and zoom, and read a value off the curve.
LinesSlope, the three forms, and which one to reach for when.Calculus — graphing and functions
FunctionsNotation, domain and range, combining and composing, piecewise rules, and the difference quotient.Calculus — graphing and functions
GraphsIntercepts, symmetry, the parent shapes, asymptotes, and sketching a curve from its equation.Calculus — graphing and functions
LimitsWhat a function heads towards — the techniques in order, and how to read an infinite one.Calculus — limits and continuity
DerivativesFrom first principles to the product and quotient rules, and what the answer means.Calculus — differentiation
The Chain RuleDifferentiating something inside something else — spotting the layers, then peeling them.Calculus — differentiation