Complaining about a class may make you feel better, but it doesn't always help you.

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Graphing Trig functions: Phase Shift

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From Applied Calculus by Denny Burzynski. We have to be careful when we apply the chain rule to derivatives of natural logarithms, so that we are sure to differentiate the argument of the function.

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Any three points that do not lie in a straight line will determine a parabola.

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Constructing Golden Rectangles from squares, and finding the Golden Ratio.

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This is the introduction to Chapter 4 of Applied Calculus by Denny Burzynski, that is being published by XYZTextbooks.com. We want to set the stage for the natural exponential and logarithmic functions and their derivatives, and point out that these are special functions, with special derivatives. More to come.

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MathTV

If you are looking for something to do to in the new year that will help point you in the direction of success, you may want to arrange your life so that you are doing something for the person you will be five years from now.

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More at www.mathtv.com. An interesting relationship between Pascal's triangle and the Sierpinski triangle.

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Showing why the quadratic formula looks the way it looks.

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A look at a surprising connection between two topics in mathematics.

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Part one of our algebra lessons on sequences. Part one talks about the relationship between the sequence of squares and the sequence of odd numbers.

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Algebra Word Problem: Distance Rate and Time. Appropriate for a student in Algebra 1 or Algebra 2

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MathTV

Here we find the equation of the line tangent to an exponential function at the origin. In the process, we use the product rule. Try the problem again using the slope-intercept form of the equation of a line: y = mx + b.

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MathTV

Part 1 of Islam and Mathematics: A Story of Cooperation and Peace. If you like this video, share it on your Facebook page.

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Finding the limit of a rational function at a point at which it is undefined.

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This is part two of a discussion of related rates is a common topic in most calculus courses. Enjoy.

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Understanding the properties we use to solve inequalities. This video is also on www.mathtv.com in Section 2.8 of the textbook Elementary Algebra.

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Part 4: Derivatives of trigonometric functions.

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Should you trust your intuition when it comes to algebra

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I posted this previously, then discovered a mistake. I am posting it again, with the mistake still there.

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Finding the equation of the line tangent to a graph at a specific point.

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We combine the chain rule with the product rule and the quotient rule.

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Sometimes we are actually on a different path than we think we are on.

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More trig videos at http://www.MathTV.com

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MathTV

If you like this video, share it on your Facebook page.

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This derivative involves both the Quotient Rule and the Chain Rule.

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More expressions that involve radicals and fractions. This video is also on www.mathtv.com in Section 8.2 of the elementary algebra book.

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I received some comments from people watching the original video on the number two. All of them had the same question. This video is to answer that question, and then extend the discussion to a new type of arithmetic.

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Using the Pythagorean theorem to get a visual representation of some common irrational numbers.

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Finding a limit by squeezing it between two other limits.

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The relationship connecting the Fibonacci sequence, the golden rectangle, and a continued fraction.

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MathTV

A multiple choice question from the Advanced Placement Calculus exam.

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This is the introduction to Section 4.2 of Applied Calculus by Denny Burzynski, published by XYZ Textbooks. Here we preview the definition for logarithmic functions and their relationship to exponential functions. You can preview the textbook online at www.xyztextbooks.com.

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Volumes of solids of revolution.

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Here are a couple of things to watch out for, when you are just getting started differentiating natural logs that require the chain rule.

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MathTV