PHYS 2211 Chapter Episode 3 and 4: Episode 3 and 4
Document Summary
Episode 3 and 4 / derivatives, inertia / cal-tech: the mechanical universe. Galileo believed that the book of the universe was written in the language of mathematics. The pythagorean harmonies was a concept that linked pleasant cords to regular ratios of the lengths of strings. This was an important first connection between mathematics and the physical world. Galileo created kinematics describing abstract motion, explained through mathematics. Differential calculus is a pivotal part of understanding physics. Derivatives determine the rate of change of a function at any point. Steepness or slope is the measure of the change in elevation divided by the distance traveled. Vermont first introduced the idea of finding a tangent line to ab algebraic curve. Vermont showed his ideas to leibniz who, along with. The greek letter delta is used to describe the change in a value. If the slope is linear then the derivative is constant.
