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Graphing Trig functions: Phase Shift

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

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

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

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Showing why the quadratic formula looks the way it looks.

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

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Find the area under a curve using integration.

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

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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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Another related rates problem.

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

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Part one of a four part series on exponents. Part one, definitions, covers negative exponents and zero as an exponent

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A few examples that use double-angle formulas from trigonometry.

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The mathematician, al-Samawal, working in Baghdad, Iraq, around the year 1150, gives an expression for the Golden Ratio that looks much different from the expression we use. Is he correct?

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A multiple choice question from the Advanced Placement Calculus exam.

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

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

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MathTV is now on Facebook. And we have made more progress with our online textbooks at www.mathtv.com/onlinebooks.

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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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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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Doing mathematics is an enjoyable experience. We experience this when we work with sequences. The Fibonacci sequence has many applications in the world around us, including the family tree of a male honey bee.

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Part 4: Derivatives of trigonometric functions.

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Volumes of solids of revolution.

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

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Someone asked me why would I want to use a textbook in class when there is so much material available for free on the Internet. Here is my response.

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