Maths: Age 17

9 illustrated Maths lessons for Age 17.

Many rolls, steady average When you average only a few die rolls, the result can land far from 3.5, but averages of thousands of rolls al…
Area Under a Curve with Signs A definite integral adds up the area between a curve and the x-axis from x = a to x = b, but area below the ax…
Rectangles under a curve The exact area under a curve between two limits is the definite integral, and we can estimate it by adding up …
Area under a curve from thin rectangles The definite integral of a continuous positive function from a to b is the exact area between its curve and th…
Natural Log Mirrors Exponential The natural logarithm ln is the inverse of the exponential function e^x. Its graph is the mirror image of the …
Area under a curve A positive function draws a curve above a horizontal axis. The area between the curve and the axis can be appr…
Bending Along a Curve A function is convex where its curve bends upward like a bowl, and its second derivative is positive there. At…
Tangent from Secants A curve is shown with one fixed point and a nearby moving point. As the nearby point slides toward the fixed p…
Area beneath a curve A curve and a horizontal axis bound a shaded region. Adding up thin rectangular strips approximates that regio…