In this Computer Algebra System (CAS) activity, students use CAS to prove a theorem regarding cubic functions, their zeros [roots], and tangents to the curves.

In this Computer Algebra System (CAS) activity, students investigate differential equations analytically, graphically and numerically and see relationships between the three approaches.

In this activity, students investigate and graph parametric functions, vectors, polar functions, and 3D functions.

In this activity, the students will predict the national debt by using logistic growth. The students will find the current national debt and use it to make their predictions.

This activity explains how and why Newton's method works.

This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.

The student will be able to understand the Mean Value Theorem using numerical and graphical methods.

In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.

Bin packing is a very appealing mathematical model. This article discusses several bin packing problems and the various methods for solving them.

This paper surveys recent advances obtained for the two-dimensional bin packing problem, with special emphasis on exact algorithms and effective heuristic and metaheuristic approaches.

Learn all about Bernoulli's principle in this section. Explore the definition, how to calculate, how to derive, and applications of Bernoulli's equation. Section also includes problems and questions for the students to answer to ensure...

Students use graph theory to create social graphs for their own social networks and apply what learn to create a graph representing the social dynamics found in a dramatic text. Students then derive meaning based on what they know about...

Finding the slopes and equations of the tangent and normal lines of curves is demonstrated using derivatives. Interactive examples are provided.

Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...

The resource is a activity guide that teaches how differentiation applies in mathematical economics. Topics include differentiation, elasticity applications, and optimization applications. PowerPoint slides are included on how to deliver...

Students investigate scalar and vector fields though a downloadable java simulation. The simulation explores the gradient of a scalar field using a numerical approximation to the partial derivatives.

[Free Registration/Login may be required to access all resource tools.] Students learn about total internal reflection. More specifically, they will learn what the critical angle is, how it is derived and how to solve for it in real life...

The tangent to a curve is always found at a certain point along the curve. Often you will be asked to find the normal to a curve at a point. View an example on this site.

The resource examines applications of partial derivatives. Topics investigated are double integrals, triple integrals, surface area, and iterated integrals. Class notes, definitions, and examples with detailed solutions are included. The...

Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.

Launching a rocket up into the air, throwing a textbook down off a rooftop, or tossing a baseball out to someone in center field are all examples of projectile motion and quadratic word problems. Situations like these are explored here,...

This lesson shows how to convert between English to metric units for different derived units. It is 4 of 4 in the series titled "English to Metric Conversion."

Model the trajectory of the longest home run ever hit while studying extrema of functions on the TI-89. Another real-world problem in this activity involves minimizing the amount of tin used in a cylindrical tank. Following the worked...

Dozens of statistical terms are defined and illustrated in this glossary.