This document provides an overview of calculus concepts that can be summarized in 3 sentences or less. It discusses finding instantaneous rates of change and products of varying factors. It also outlines graphical and numerical methods for determining slopes, areas, and integrals including using tangent lines, trapezoids, and Riemann sums. Definitions of derivatives are given for various functions using algebraic methods along with the fundamental theorem of calculus relating derivatives and integrals.

1. Calculus (in 7 minutes)
Goal: find the instantaneous rate of change Goal: find the product of 2 factors 1 of which varies
Graph: Graph:
slope of tangent line
area under curve
Numerical Methods Numerical Methods
forward Counting squares
backward difference quotients Trapezoidal rule
symmetric Riemann Sums:(upper, lower, midpoint)
Definition: Definition:
Algebraic Method Algebraic Method
power, chain, constant, sum/difference,
exponential (natural, base­b), product, quotient
Fundamental Theorem of Calculus
Differential Integral
From: Flickr: Highway 1 by Dr. Flemming
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