In this activity, students analyze first order, second order, and autonomous systems of two first order differential equations.

Real data from the morning rush on the Chicago expressways is the basis for a piece-wise regression. The students' success depends on their understanding of inflection points. Students need to use the Select command to split the data...

This activity involves finding the absolute extrema on a closed interval of a function.

In this activity, students use the calculator to graph the solution to a second-order and third-order differential equations. They convert higher order differential equations by substitution to a system of first order differential...

In this activity, students can use the calculator's differential equation graphing mode to model projectile motion. They analyze time-height data for a falling object using the statistical features of the calculator. They also compare...

[Free Registration/Login Required] Students can adjust the size of the circle to explore the tangent lines. Click learn more to watch a video and click challenge me to answer a practice question.

The graphing calculator's symbolic capacities make it ideal for teachers and students of calculus. Here are some examples of how teachers and students can use the calculator to better understand calculus.

This activity will allow the student to generate an equation from data points based on minimizing the sum of squares of the vertical distances from each point.

The base of the natural logarithm function, is called Euler's number, in honor of Leonhard Euler, a great Swiss mathematician. (Continued. See "before the activity.")

In this activity, students learn about the differential equations used to model the simple harmonic motion of a block attached to a spring. They study the effect of air resistance on the motion and create an animation to describe its...

This activity introduces students to an interesting property of fourth degree polynomials and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.

In this activity, students will experiment with creating a box from a standard size piece of paper. They will then use the concept of related rates on the graphing calculator to find the maximum volume of a box made from the piece of paper.

This activity introduces students to an interesting property of parabolas and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.

Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.

In this activity, students identify whether a slope field approximately reflects a differential equation. They also determine whether a potential solution fits the slope field.

This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.

How can trigonometry be used to find the area of a triangle or parallelogram? Does the triangle need to be a right triangle, and how accurate can the results possibly be? The answers to these questions are found here along with several...

Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.

Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...

Students learn about applications of derivatives. Topics include maxima and minima. The tutorial explores the calculus concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.

Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....

Using the free-fall constants and gravity acceleration equations, we can determine many things about the position, velocity, and speed of a projectile. Here are a few examples and explanations. This is a great review for the AP Calculus...

When you work with equations that show position, velocity, acceleration of objects that are flying or falling through the air, you will be using the constant that is the acceleration due to gravity. View formulas, explanations, and...

This site from the Massachussets Institute of Technology has links to various topics in calculus.