Texas Instruments
Texas Instruments: The Region Between Two Curves
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
Texas Instruments
Texas Instruments: Shortest Path
Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.
Trinity College Dublin
History of Mathematics: Bonaventura Cavalieri (1598 1647)
A biography of Cavalieri that includes information on his principle or "indivisibles." From a 1904 text by W. W. Rouse Ball.
Famous Scientists
Famous Scientists: Gottfried Leibniz
Learn about the life and work of Gottfried Leibniz, and find out how he remains one of the greatest and most influential metaphysicians, thinkers, and logicians in history.
Interactive Mathematics
Interactive Mathematics: Force Due to Liquid Pressure
Examples are provided to demonstrate how integrals are used to determine the amount of force liquid produces. The solutions are included, but hidden so students can work the problem independently.
That Quiz
That Quiz: Calculo
This interactive site is a great practice for derivatives and integrals. Ten different levels are provided and you can choose full hint or partial hint.
Math2
Math2
This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.
Texas Instruments
Texas Instruments: Solving Differential Equations Using Euler
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Interactive Mathematics
Interactive Mathematics: Differential Equations
More in-depth topics of Calculus are covered on this interactive sight. Differential equations, integrable combinations and applications to electrical circuits are a few of the concepts highlited
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Department of Defense
Do Dea: Differential Equations
A separable differential equation is one which is in the form dy/dx = g(x) h(y). Learn how to take the integral by separating the variables and put the y's on one side with the dy and the x's on the other with the dx. View an example on...
Math2
Math2.org: Series Expansion
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.
Khan Academy
Khan Academy: 3 D Divergence Theorem
Also known as Gauss's theorem, the divergence theorem is a tool for translating between surface integrals and triple integrals.
Curated OER
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This math lesson explains Improper Integrals with definitions and examples.
Curated OER
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This math lesson explains Improper Integrals with definitions and examples.
Curated OER
Tex2html Wrap Inline221
This math lesson explains Improper Integrals with definitions and examples.
Curated OER
University of Tennessee: Antiderivatives
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
Other
Area Between Curves
Site explains using an example how to find the area between curves using a calculator.
Harvey Mudd College
Hmc Mathematics Online Tutorial: The Mean Value Theorem
This resource defines the mean value theorem and Rolle's theoem and also discusses key concepts of these theorems.
Math Medics
S.o.s. Math: Trigonometric Substitutions
This detailed tutorial explains trigonometric substitution. Includes formulas, equations and examples.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Derivation of De Moivre's Formula
A formula using Euler's formula to derive DeMoivre's theorem. Basic calculus skills of differentiating and integrating are required to understand this explanation.
Texas Instruments
Texas Instruments: What Is the Number "E"?
In this activity, students explore the fundamental theorem of calculus. They apply this theorem to understand the number "e" - the base of the natural logarithm. They also use integration and natural logarithmic function to solve a...
Mathematics Archives
Math Archives: Partial Fractions
This site, which is provided for by the University of Tennessee, Knoxville, is a good site explaining how to work with partial fractions
Mathematics Archives
Math Archives: Midpoint Rule
This site, which is provided for by the University of Tennessee, Knoxville, has a worked example the student can examine on the midpoint rule