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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. |
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 |