Error Estimation of Alternating Series

It’s also called the Remainder Estimation of Alternating Series.

This is to calculating (approximating) an Infinite Alternating Series:

Lagrange Error Bound

It’s also called the Lagrange Error Theorem, or Taylor's Remainder Theorem.

To approximate a function more precisely, we’d like to express the function as a sum of a Taylor Polynomial & a Remainder.

Logistic Growth Model

#LogisticGrowth #LogisticGrowthModel #LogisticEquation#LogisticModel #LogisticRegression

This is a very famous example of Differential Equation, and has been applied to numerous of real life problems as a model.
It’s originally a Population Model created by…

Area of Polar Curves (Integral Calc)

Calculating area for polar curves, means we're now under the Polar Coordinateto do integration.
And instead of using rectangles to calculate the area, we are to use triangles to integrate the area for a curve.

Volumes of 3D Solids (Integral Calc)

Strategy:

• Notice this is a complete graphical problem, so:

YOU HAVE TO USE TOOLS TO BUILD GRAPHICS BEFORE SOLVING PROBLEM!!!

• Using these graphic calculators:

Shell Method

Shell Method is particularly good for calculating volume of a 3D shape by rotating a 2D shape around a VERTICAL LINE.
Imagine there is a CYLINDER, and we're to calculate the surface area of the cylinder, and integrate the surface areas when the cylinder gets thiner and thiner.