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Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Symmetry
Here is a site that clearly and thoroughly explains the symmetry of even and odd functions and how to test for these types of symmetry. There are example problems solved, problems for the student to attempt, and answers to the student...
University of California
Ucla Mathematics Department:average Value of a Function
UCLA Mathematics Department provides specific example of the average value of a function.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Uniform Distribution
Students learn about probability density functions and uniform distributions. The tutorial investigates the statistics concepts through class notes and examples. Review exercises are included.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Applications of Integrals
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Random Variables and Distributions
Students examine random variables and distributions. Topics explored are probability distributions, and discrete and continuous random variables. The tutorial investigates the statistics concepts through class notes and examples. Review...
Rice University
Rice University: Cynthia Lanius: Volume Functions
This site challeges students to find the rectangular dimensions that would produce the cylinder with the greatest volume. The page provides formulas. Students can choose from the following methods to solve: Tabular, Graphical, and calculus.
eFunda
Engineering Mathematics: Exponential and Logarithmic Functions
This site explains the Exponential and Logarithmic Functions and has links to plots of the functions.
Math Notes and Math Tests
Pre Calculus Notes: Rational Functions [Pdf]
Students explore rational functions. Vertical asymptotes, horizontal asymptotes, slant asymptotes, and the zeros of a function are examined.
ClassFlow
Class Flow: Functions and Their Graphs
[Free Registration/Login Required] Functions can be specified in a number of ways. Students concentrate on functions given by equations involving independent and dependent variables and begin to recognize the different forms to find the...
Math Notes and Math Tests
Pre Calculus Notes: Exponential Functions and Their Graphs [Pdf]
Students explore exponential functions and their graphs. Exponential decay, the natural exponential function, and compound interest are examined. Proofs, explanations, and examples are included.
Paul Dawkins
Paul's Online Notes: Calculus I: Review
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Slope and Intercept
The tutorial explores slope and intercept. Students learn about the concept through class notes, examples, and practice problems. Topics include linear functions and slope. Review exercises and a chapter quiz are included.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
National Council of Teachers of Mathematics
The Math Forum: Unsure of Which Telephone Plan to Choose?
This online activity will help you use step functions as a means of determining the most appropriate calling package for your household.
Mathematics Archives
Math Archives: Visual Calculus: Arc Length
This site explains the arc length. The site has links to related topics and examples.
New York Times
New York Times: Steven Strogatz on the Elements of Math Series the New York Times
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
Mathematics Archives
Math Archives: Visual Calculus: Scaling of Functions
Draw the graphs of the functions y = f(x), y = f(2x), and y = f(x/2), for practice with scaling.
Wolfram Research
Wolfram Math World: Calculus and Analysis
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Texas Instruments
Texas Instruments: Newton's Law of Cooling and the Calculus Behind It
In this activity, students investigate Newton's Law of Cooling and determine a model to represent the data.
Cool Math
Coolmath: The Difference Quotient Review
Steps and examples for using the difference quotient with a function.
CK-12 Foundation
Ck 12: Analysis: Cubic Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students will be modeling with cubed or piece-wise functions. Students examine guided notes, review guided practice, watch instructional videos and...
Mathematics Archives
Math Archives: Visual Calculus: Graph a Function, Its Second Derivative
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.