Online Math Lab

Math 3A
Differential and Integral Calculus I

• Khan Academy: Limit at a point of discontinuity

  Video - 6:20

  One-sided limit example

• Khan Academy: Limit Example 1

  Video - 5:44

  Limits by cancelling factors

• Khan Academy: Limits and infinity

  Video - 7:41

  Intro to limits involving infinity

• Khan Academy: More limits at infinity

  Video - 4:33

  Limits to infinity (non-rigorous)

  This video uses a handy short-cut to solve limits. The more general method (which your prof may require) is given in the previous video

• Calculus Applets: Formal Definition of Limits

  Interactive

  Formal (delta-epsilon) definition of a limit

• PatrickJMT: Calculating a Limit by Multiplying by a Conjugate

  Video - 4:09

  Limits of rational functions with square roots

• PatrickJMT: Calculating a Limit at Infinity With a Radical

  Video - 9:11

  Limits of rational functions with square roots to infinity

• PatrickJMT: Limits at Infinity - Basic Idea and Shortcuts!

  Video - 8:51

  Finding limit of a linear-to-linear function at infinity (analytic method)

• Paul's Notes: Limits Chapter

  Text

  Textbook-style explanation of limits

  "Computing Limits" page has lots of examples

• Calculus Applets: Derivative at a Point

  Interactive

  Visualizing derivative as a limit

• Khan Academy: Derivative Intuition

  Interactive

  Visualizing derivative functions

• Mathispower4u: Determining Derivatives Using The Limit Definition

  Video - 10:27

  Three examples on finding derivatives using the limit definition

• Derivative Cheatsheet/Worksheet

  Text	All 3A derivative rules with examples and exercises

• Khan Academy: Applying the Product Rule for Derivatives

  Video - 2:40

  Product rule explained well

  See exercises as well

• Khan Academy: Quotient Rule for Derivative of tan(x)

  Video - 3:42

  Quotient rule explained well

  See exercises as well

• Khan Academy: Chain Rule Definition and Example

  Video - 5:31

  Chain rule explained well

  See next few videos for more examples. See exercises as well.

• Khan Academy: Chain Rule for Derivative of 2^x

  Video - 4:48

  Change-of-base for exponents

  See next video for change-of-base for logarithms.

• Khan Academy: Implicit Differentiation

  Video - 8:02

  Implicit differentiation explained well

  See next few videos for more good examples.

• Khan Academy: Derivative of x^(x^x)

  Video - 9:02

  Logarithmic differentiation example

• PatrickJMT: Logarithmic Differentiation - Example 3

  Video - 3:40

  Logarithmic differentiation example

• Khan Academy: Introduction to l'Hopital's Rule

  Video - 8:51

  l'Hospital's rule

  See next few videos for more examples. See exercises as well.

• Paul's Notes: l'Hospital's Rule

  Text

  l'Hospital's rule examples

  Includes some harder ones

• Khan Academy: Rates of Change Between Area and Radius of a Circle

  Video - 7:43

  Related rates example

  See next few videos for more examples.

• Khan Academy: AP Calculus Practice Questions

  Video Database

  Lots of word problems with derivatives

• Khan Academy: Minima, maxima and critical points

  Video - 7:52

  Critical points explained well

• Khan Academy: Identifying minima and maxima

  Video - 9:42

  How to test whether a critical point is a local max, local min, or neither

• Mathispower4u: Determining Relative Extrema Using The First Derivative Test

  Video - 6:18

  How to use first derivative to find relative extrema

• Paul's Notes: Abslute Extrema

  Text	Finding absolute extrema on an interval (with word problems)

• Curve Sketching Worksheet

  Text	Guided curve-sketching examples

• Khan Academy: Graphing using derivatives

  Video - 20:31

  Long, but very good.

• Khan Academy: Another example graphing with derivatives

  Video - 25:08

  Long, but very good.