For this math worksheet, learners investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.

In this math instructional activity, students examine the concepts of upper division mathematics. They include linear operator, homogeneous, characteristic equation, fundamental solution set (solution basis), principle of...

In this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.

In this math worksheet, students examine the sequences and determine if there is convergence or divergence present. They also apply the logic to the word problems.

In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...

In this math worksheet, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.

For this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.

Young scholars investigate absolute value functions.  In this Algebra II/Pre-calculus/Calculus lesson, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems. ...

One must obey the sine laws. A instructional activity introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the instructional...

Students investigate the acceleration of a car.  In this acceleration of a car lesson, students make a scatter plot of corvette acceleration data.  Students find a model to fit the data by taking the integral of the curve...

This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since...

Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...

In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...

In this prism worksheet students explore the best way to divide a rectangular region into four areas using parallel lines.  This one-page worksheet contains 1 problem.  The answer is provided.

In this Euler's Method and Riemann's Sum instructional activity, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to...

Pupils calculate the maximum and minimum of each function. In this algebra lesson plan, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.

In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...

Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.

A biography of Cavalieri that includes information on his principle or "indivisibles." From a 1904 text by W. W. Rouse Ball.