Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice.  Using data relating to the solstices at...

Do flexible circuits change dimensions during fabrication? Groups use GeoGebra software to measure the length of pictures of flexible nano-circuits. To determine if the circuits change dimensions, future engineers use Microsoft...

Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...

Introduce youngsters to the important role shape and form play in art with this extensive collection of activities and projects. From teaching first graders how to create mandalas to engaging third and fourth graders in the design...

Focusing on Doppo's "Unforgettable People" and late nineteenth century Japanese literature, this resource also leads to discussions of form being dictated by content. Explore the development of new literary styles first-hand by...

This site is a tutorial on the definite integral.

The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...

Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.

This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...

This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...

The applet examines the definition of the natural logarithm ln(x).

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...

The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...

The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...

The resource examines surface integrals. Topics investigated are parametric surfaces, surface integrals, Stokes? theorem, and the divergence theorem. Class notes, definitions, and examples with detailed solutions are included. The notes...

Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...

A formal definition of integrals, followed by three examples of the Fundamental Theorem for Integrals of Derivatives.

The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...