Department of Defense
Do Dea: Resistance Proportional to Velocity
Resistance to forward movement will be proportional to the velocity of the object. That relationship can be expressed by an equation that you can learn about on this page. Great review for the AP Calculus test!
Hofstra University
Hofstra: Techniques of Differentiation
This applied calculus tutorial explains the various rules for taking the derivative of a function as well as giving a general formula for the operation and numerous examples.
University of St. Andrews (UK)
University of St. Andrews: Leonhard Euler
Lengthy biography of Euler that sets him in relationship with his contemporaries in mathematics and physics. Several quotes and pictures available, as well as links to relevant mathematical topics. A terrific site.
Wolfram Research
Wolfram Science World: Cl Circuit
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
CK-12 Foundation
Ck 12: Analysis: Derivatives of Sums and Differences
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of binomials (sums and differences), and multiples of binomials (Product Rule). Students examine guided notes,...
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
Interactive Mathematics
Interactive Mathematics: Integration
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Problemas De Optimizacion
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
Stanford University
Stanford University: Overview of Leibniz
This site outlines Gottfried Wilhelm Leibniz's life. Categories include principal works, Leibniz's life, Leibniz's contributions to philosophy, and further readings.
Department of Defense
Do Dea: The Law of Exponential Change
If you are a budding environmental scientist, archeologist. physical scientist, or bacteriologist, then this is the site is for you. You will be looking at the differential equation of proportional change and how it is related to the...
Department of Defense
Do Dea: Growth and Decay
Practice problems that each illustrate a different use of the Law of Exponential Change. Examples and explanations are provided. Great review for the AP Calculus test!
Analyze Math
Analyze Math: Derivative of Inverse Function
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
CK-12 Foundation
Ck 12: Analysis: Instantaneous Rates of Change
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Analysis: Constant Derivatives and the Power Rule
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of constants and the power rule. Students examine guided notes, review guided practice, watch instructional...
Other
Sierra College: Table of Derivatives
This table of derivatives is a useful guide for homework or other studying.
Analyze Math
Analyze Math: First Derivative of a Function
The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.
Analyze Math
Analyze Math: Definition of the Derivative of a Function
Students use the interactive applet to investigate the difference quotient.
University of St. Andrews (UK)
University of St. Andrews: George Boole
This University of St. Andrews page offers an excellent biography on George Boole, an English mathematician and linguist (1815-1864.) Discusses his life and his contributions to these fields.
University of St. Andrews (UK)
University of St. Andrews: Gaspard Monge
This University of St. Andrews page offers an excellent biography on Gaspard Monge, a French mathematician and diversified scientist (1746-1818.) Discusses his life and his contributions to these fields.
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.
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.
CK-12 Foundation
Ck 12: Analysis: Quotient Rule and Higher Derivatives
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...
University of Michigan
University of Michigan: The Mathematics of Basic Pumping Well Hydraulics
Discusses the mathematics involved in basic pumping well hydraulics. Includes a section dealing with the steady state solution.
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.