Media Summary: In this 12 minute movie, We state and prove the We define critical points, prove Fermat's observation that at maxima or minima, smooth functions have critical points, then state the ... We use definite integrals to compute some areas. We first remind about the difference between signed areas and areas and then ...
Math 1a Spring 2021 Fundamental - Detailed Analysis & Overview
In this 12 minute movie, We state and prove the We define critical points, prove Fermat's observation that at maxima or minima, smooth functions have critical points, then state the ... We use definite integrals to compute some areas. We first remind about the difference between signed areas and areas and then ... Again we were lucky to be able to record outside. We look at the method of substitution in integration. We solve first a few easier ... We look at Hospital's rule and solve 10 limit problems. We look at the Archimedes Volume formula and compute the volume of a few solids like pyramid, sphere, lemon, the SM 10 rocket ...
We define the Riemann integral, show that it converges, look at three examples, give a bit of an overview of history and also ... A presentation about functions for the course In this unit, we look first at general Riemann sums, average the left and right Riemann sum to get the trapezoid method. Then we ... If a function f depends on a parameter c we can look at the number of stable equilibria (minima) and see how they change when ...
