Mathematics Commons^™

10: Roots Of Unity, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

RootsOfUnity.nb offers some solutions to x⁶ -1=0 and then graphs and labels the complex roots of unity up through x⁸ -1=0 .

08: Sine Transformations, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

SineTransformations.nb allows you to use sliders to see the effects of parameters on the amplitude, period, phase shift, and vertical shift.

04: Domain And Range, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

DomainAndRange.nb allows you to graph various types of functions and shows the domain and/or range along the appropriate axis.

11: Parametric Path, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

ParametricPath.nb allows the user to input parametrically defined curves and a domain for the parameter t. An example is given to show how the curve is traced out.

03: Derivative Signs, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

DerivativeSigns.nb asks the user to input a function and a domain. It will color the graph to show where the derivative is positive and where it's negative. The second part colors the graph to show where the function is concave up and down.

15: Koch Snowflakes, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

KochSnowflakes.nb contains several animations that show several steps of graphical iteration for Koch Snowflakes and several other patterns.

08: Accumulator, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

Accumulator.nb takes a function ƒ and other information to sketch both the graph of ƒ and the graph of F(x) = Integral of ƒ(t) from a to x. Use the slider for the x-value to see how the accumulated area under ƒ helps to create the graph of F.

10: Slope Fields + Solns, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

SlopeFields+Solns.nb follows similarly from the previous notebook. Here, however, there is a 2D slider that shows a specific solution function as you move the initial point.

Life After Calculus: 20 Years Later, Darren B. Glass

Math Faculty Publications

In 1996 Math Horizons interviewed a group of students at the Joint Mathematics Meetings; now, 20 years later, one of those students, Darren Glass, interviews another group of students.

Calculus Ii (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield

Mathematics Grants Collections

This Grants Collection for Calculus II was created under a Round Four ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

05: Rats Grapher, Ruth Dover

Mathematica Notebooks for Pre-Calculus and Calculus

RatsGrapher.nb graphs rational functions and labels all holes and asymptotes.

Apex Calculus Exercises (Webwork), Shaun V. Ault

Mathematics Ancillary Materials

These exercises are designed to be used in the open-source WeBWorK platform by the Mathematical Association of America. The exercises are meant to supplement the APEX Calculus 3.0 open textbook, and each folder's number corresponds to the textbook's chapters and subchapters.

Series 10, Ruth Dover

Series

Extra stuff to show more ways to work with series.

4. Dragging Along, Ruth Dover

Differential Equations

More information on air drag.

Bc 1 Rate Of Change Activity Sheet Teacher Notes, Ruth Dover

A Simple Introduction to Rates

Before beginning this section of handouts, students will be introduced to a variety of vocabulary words often associated with calculus. These words will be used in an intuitive sense only and will not have been formally defined. Vocabulary should include graphical terms such as continuous, increasing, decreasing, maximum and minimum points, concave up, concave down, and point of inflection. In addition, discussion of the concept of "rate of change" should begin. It should be mentioned that many quantities change – population, cost, and temperature, to name just a few. All that is specifically required at this point can be related …

Rate Of Change 2, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

Limits5, Ruth Dover

Limits

Limits and continuity.

Limits2, Ruth Dover

Limits

More on limits, both algebraic and graphical, including one-sided limits.

3. Derivatives Of Exponential Functions, Ruth Dover

More on Derivatives

Exploring the derivative of exponential functions.

Series 03, Ruth Dover

Series

Considers the creation of a general Maclaurin series.

Limits4, Ruth Dover

Limits

An introduction to limits as something goes to infinity.

Approximations 4, Ruth Dover

Integrals

Trapezoidal Rule.

1. Measuring Speed, Ruth Dover

More on Derivatives

Tables of values to measure rates.

Series 07, Ruth Dover

Series

Where did the Lagrange error bound come from?

Series 06, Ruth Dover

Series

More manipulation of series – substitution, differentiation, and integration.

Series 05, Ruth Dover

Series

Popular Maclaurin series and using substitution to create new series.

Series 08, Ruth Dover

Series

More on error.

Rate Of Change 4, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

1. Coffee, Ruth Dover

Differential Equations

Newton’s Law of Cooling.

1. Monotonic Sequences, Ruth Dover

Series

Practice with monotonic sequences.