MAT136 - Section 10.3 - Volume and Power Series

Flashcards covering key concepts related to power series, integration, and volume calculation in mathematics.

Power series

A series of the form S(x) = a0 + a1x + a2x^2 + … which converges to a function.

Convergence of a series

The property that a series approaches a finite value as more terms are added.

Derivative

A mathematical operation that measures the rate of change of a function.

Anti-derivative

The reverse operation of differentiation; finding a function whose derivative is the given function.

Euler's Formula

The equation e^(ix) = cos(x) + i sin(x), relating complex exponentials to trigonometric functions.

Arctan(x)

The inverse tangent function, which gives the angle whose tangent is x.

Integration

The process of calculating the area under a curve.

Limits of integration

The values at which the integration begins and ends, determining the scope of the area calculated.

Function intersection

The points at which two functions have the same output value.

Slice of a cone

A cross-section of a cone obtained by slicing through the shape, which can be used to calculate volume.