## Mathematica Notebooks for Pre-Calculus and Calculus

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.

#### Pre-Calculus

01: Quadratic Functions, Ruth Dover

02: Poly Basics 1, Ruth Dover

03: Poly Basics 2, Ruth Dover

04: Domain and Range, Ruth Dover

05: Rats Grapher, Ruth Dover

06: Reciprocal Functions, Ruth Dover

07: Tan Animation, Ruth Dover

08: Sine Transformations, Ruth Dover

09: Solving Trig Equations, Ruth Dover

10: Roots of Unity, Ruth Dover

11: Parametric Path, Ruth Dover

12: Polar Path, Ruth Dover

13: Polar Reciprocal, Ruth Dover

14: Polar Vs Rectangular Animation, Ruth Dover

15: Koch Snowflakes, Ruth Dover

16: Sequences and Series, Ruth Dover

17: Plotting S(n), Ruth Dover

#### Calculus

01: Creating Derivative, Ruth Dover

02: Derivative Approximation, Ruth Dover

03: Derivative Signs, Ruth Dover

04: IVT, Ruth Dover

05: Limit Definition, Ruth Dover

06: Random Riemann, Ruth Dover

07: Riemann Sums, Ruth Dover

08: Accumulator, Ruth Dover

09: Slope Field, Ruth Dover

10: Slope Fields + Solns, Ruth Dover

11: Eulers Method, Ruth Dover

12: Parametric Path, Ruth Dover

13: Polar Path, Ruth Dover

14: Sequences and Series, Ruth Dover

15: Plotting S(n), Ruth Dover

16: Seeing Series, Ruth Dover

17: Maclaurin Series, Ruth Dover