This play list should be pretty much in order with the way many people will see material in the class. Of course, not all classes are the same, so some of my videos may be out of order with your particular class. If you are looking for a particular topic, you are also encouraged to do an individual search on that topic as well, as I may have left a few videos out on accident.
A way to remember the Entire Unit Circle for Trigonometry. This is the way that I remember the unit circle.
Calculating a Limit by Getting a Common Denominator - One example is shown!
Calculating a Limit Involving sin(x)/x as x approaches zero.
Shortcut to Find Horizontal Asymptotes of Rational Functions. In this video, I point out a couple of tricks that make finding horizontal asymptotes of rational functions very easy to do!
Understanding the Definition of the Derivative - In this video, I produce the definition of the derivative by thinking about slopes of tangent lines! I DO NOT use the definition of the derivative to actually calculate the derivative, although I have videos on that too!!
Finding a Derivative Using the Definition of a Derivative - The long way! Two complete examples are shown.
Need to see a bunch of random derivative problems? Has it been a while since you took Calculus 1 and you have forgotten some of your formulas? In this video I do 25 different derivative problems using derivatives of power functions, polynomials, trigonometric functions, exponential functions and logarithmic functions using the product rule, chain rule, and quotient rule.
Implicit Differentiation - Basic Idea and Examples. In this video, I discuss the basic idea about using implicit differentiation. That is, I discuss notation and mechanics and a little bit of the idea. I also work out a couple of examples!
Using Implicit Differentiation to find a Second Derivative and simplifying!
Related Rates Problem Using Implicit Differentiation
Finding the Linearization of a function at a point. A homework problem from UT-Austin's Calculus 1 class, homework set #8.
Finding Intervals of Increase/Decrease Local Max/Mins - I give the basic idea of finding intervals of increase/decrease as well as finding local maximums and minimums.
Finding Local Maximums/Minimums - Second Derivative Test. In this video, I discuss how to use the second derivative test to find local maximums and local minimums. The basic idea and a few examples are shown!
Concavity and Second Derivatives - Examples of using the second derivative to determine where a function is concave up or concave down.
Curve Sketching Using Calculus - Part 1of 2. In this video I discuss the following topics to help produce the graph of a function: domain, x-y intercepts, symmetry of the function, intervals of increase/decrease, local maximums and minimums, concavity, inflection points, horizontal and vertical asymptotes (whew!). all of this is too much for one 10 minute video, so the rest is in part 2!
Curve Sketching Using Calculus - Part 2 of 2. In this video I discuss the following topics to help produce the graph of a function: domain, x-y intercepts, symmetry of the function, intervals of increase/decrease, local maximums and minimums, concavity, inflection points, horizontal and vertical asymptotes (whew!). all of this is too much for one 10 minute video, so the rest is in part 2!
Summary of Curve Sketching - Example 2, Part 1 of 4. This is a video using calculus and algebra to sketch a curve. In this video, I discuss domain, intercepts and symmetry.
Summary of Curve Sketching - Example 2 - Part 2 of 4. In this video, I discuss finding horizontal and vertical asymptotes.
Summary of Curve Sketching - Example 2 - Part 3 of 4. In this video, I discuss the first and second derivative, as well as intervals of increase/decrease, concavity, local maximums and minimums, and points of inflection.
Summary of Curve Sketching - Example 2 - Part 4 of 4. In this video, I finally do the sketch!!
The Squeeze Theorem and Absolute Value Theorem, #1. Here we look at finding the limits of some sequences by using the squeeze and / or absolute value theorems.