Using Mathematica notebooks for Pre-Calculus and Calculus requires Mathematica software created by Wolfram Research, Inc.

The notebooks offered here for download are aimed at pre-calculus and calculus teachers and their students. Teachers may use them for demonstrations in classes. Students may use them for exploration and visualization. They do require that the Mathematica software be installed on the computer. Most notebooks were formatted using version 11, but they should work just fine with many earlier versions.

Most expect very little knowledge of Mathematica. Enter a function, execute a command, choose a window, or use sliders. Of course, to enter functions, it is important to understand the basics of Mathematica syntax, including capital letters and square brackets. Many of the notebooks explain a few of these basics for the user.

There are two groups of notebooks: Pre-Calculus and Calculus. There are a few notebooks that are included in both groups since I often use them in both courses. For example, these include topics such as polar functions, parametrics, and sequences and series.

Note on Downloading:
On some computers, with some browsers, the Mathematica notebooks show up as a text file. If there is a “.txt” added at the end, simply deleting “.txt” should work. If it is still a “.nb” file, but appears as text, there are two possibilities to try. It may work to open the file from within Mathematica. Otherwise, copy all of the text and paste it into a blank Mathematica notebook.

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Pre-Calculus

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01: Quadratic Functions, Ruth Dover

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02: Poly Basics 1, Ruth Dover

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03: Poly Basics 2, Ruth Dover

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04: Domain and Range, Ruth Dover

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05: Rats Grapher, Ruth Dover

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06: Reciprocal Functions, Ruth Dover

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07: Tan Animation, Ruth Dover

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08: Sine Transformations, Ruth Dover

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09: Solving Trig Equations, Ruth Dover

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10: Roots of Unity, Ruth Dover

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11: Parametric Path, Ruth Dover

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12: Polar Path, Ruth Dover

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13: Polar Reciprocal, Ruth Dover

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14: Polar Vs Rectangular Animation, Ruth Dover

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15: Koch Snowflakes, Ruth Dover

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16: Sequences and Series, Ruth Dover

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17: Plotting S(n), Ruth Dover

Calculus

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01: Creating Derivative, Ruth Dover

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02: Derivative Approximation, Ruth Dover

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03: Derivative Signs, Ruth Dover

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04: IVT, Ruth Dover

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05: Limit Definition, Ruth Dover

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06: Random Riemann, Ruth Dover

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07: Riemann Sums, Ruth Dover

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08: Accumulator, Ruth Dover

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09: Slope Field, Ruth Dover

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10: Slope Fields + Solns, Ruth Dover

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11: Eulers Method, Ruth Dover

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12: Parametric Path, Ruth Dover

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13: Polar Path, Ruth Dover

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14: Sequences and Series, Ruth Dover

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15: Plotting S(n), Ruth Dover

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16: Seeing Series, Ruth Dover

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17: Maclaurin Series, Ruth Dover