Harvey Mudd College
Harvey Mudd College: Functions and Transformations of Functions
A review of the important concepts dealing with functions and transformations of functions. Java plug-in is required for the exploration feature.
CK-12 Foundation
Ck 12: Analysis: Intermediate Value Theorem
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Analysis: Tangents to a Curve
[Free Registration/Login may be required to access all resource tools.] Calculate the equation of a line tangent to a single point
CK-12 Foundation
Ck 12: Analysis: One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Exploring functions with differing limits when x>0 or x<0. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Using the First and Second Derivative Tests
[Free Registration/Login may be required to access all resource tools.] This resource gives a step by step account of how to apply knowledge from First and Second Derivative Tests to sketch graphs of functions. The following table...
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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Interactive Calculus Tool
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
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
Mathematics Archives
Math Archives: Improper Integrals
This site, which is provided for by the University of Tennessee, Knoxville explains through an example Improper Integrals
Mathematics Archives
Math Archives: Antiderivatives
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
Mathematics Archives
Math Archives: Visual Calculus: Area of a Circle
Students will be able to use The Method of Exhaustion and find the area of a circle by illustrating graphically.
Mathematics Archives
Math Archives: Visual Calculus: One Sided Limits
This calculus tutorial features an explanation of one-sided (left- and right-hand) limits.
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...
Wolfram Research
Wolfram Math World: Leibniz Criterion
This page states the Leibniz Criterion, or the alternating series test that determines whether or not an alternating series converges.
Wolfram Research
Wolfram Math World: Improper Integrals
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Wolfram Research
Wolfram Science World: Bernoulli, Jakob (1654 1705)
This site from ScienceWorld provides a brief but factual abstract of Bernoulli's math accomplishments. Links are provided throughout for additional information on related subjects.
Wolfram Research
Wolfram Science World: Bernoulli, Johann (1667 1748)
This site from ScienceWorld contains a short but factual biography of Johann Bernoulli. Includes a picture, along with quite a few links that contain additional information on related subjects.
Wolfram Research
Wolfram Math World: Constant Function
This MathWorld site gives definition and example of constant function.
University of Minnesota
University of Minnesota: How Does Light Travel?
Contains a four step procedure to deriving the law of reflection using algebra, Fermat's principle, and calculus (simple derivatives). This is good for an in-class theoretical exercise.
Oregon State University
Oregon State University: Differential Equations
Defines differential equations and some of its properties including, linear, homogeneous and nonhomogeneous.
Math Words
Math words.com: Differential Equation
A brief definition of a differential equations. An example of one is given.
eFunda
Engineering Mathematics: Exponential and Logarithmic Functions
This site explains the Exponential and Logarithmic Functions and has links to plots of the functions.