Calculus 2

Copyright © 2006-2013 Joe Mercer

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Last updated on July 27, 2013

Link	Description
2^nd Derivative Test for 2 variables	Video: Derivation of the Second Derivative test in 3D
Regions for double integrals	Video: Setting up regions for double integrals
Ice-Cream Cone Problem 1	Video: Setting up a triple integral to find the volume of a solid that looks like a fat ice-cream cone, first using Cartesian coordinates, then using spherical coordinates to evaluate the integral.
Ice-Cream Cone Problem 2	Video: Setting up iterated integrals in each of 6 orders of integration.
Proof that e is irrational	A short proof using nothing more than a couple of simple integrals.
Proof that e is not a quadratic number	An extension of the proof that e is irrational to the case that e cannot be a root of a quadratic equation with integer coefficients
Proof that a nonzero rational power of e is irrational	A short proof similar to the proof that e is irrational.

  20-minute quizzes:

Quiz #1	Derivatives and simple (separable) differential equations
Quiz #2	Derivatives and simple (separable) differential equations
Quiz #3	Derivatives and simple (separable) differential equations
Quiz #4	Application: Interpreting derivatives from data
Quiz #5	Definite integrals
Quiz #6	Interpreting definite integrals
Quiz #7	Understanding the Fundamental Theorem
Quiz #8	Integration techniques and Riemann sums
Quiz #9	Interpreting derivatives from graphs; Fundamental Theorem
Quiz #10	Applying integrals