Wolfram Research
Wolfram Math World: Indefinite Integral
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Other
The Sigma Notation for Summation of Series
Conprehensive site explaining sigma notation. Site has many formulas and a few examples
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Continuous Versus Discrete
Here is a site that clearly and thoroughly explains the the notion that calculus is the study of continuity. This page is mostly discussion of the difference between a continuous quantity and a discrete quantity. Point this site out to...
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
University of Vienna (Austria)
University of Vienna: Maths Online
The University of Vienna, Austria, created this site to help bring the worlds of math and technology together. You have access to many applets and downloads that allow you to create lessons, tests, and puzzles. There are also great...
Other
Seton Hall University: The Riemann Integral
This resouce, which is provided for by the Seton Hall University, is a detailed lesson explaining the The Riemann Integral. With definitions and examples
Other
Seton Hall University: Ratio Test
This lesson gives an explanation of the ratio test with formlas and examples for the student to follow.
University of Texas at Austin
Net Math: Upper and Lower Riemann Sums
Word intensive and detailed site explaining the Riemann Sums.
Paul Dawkins
Paul's Online Notes: Exponential and Logarithm Equations Practice Problems
In this section we will discuss various methods for solving equations that involve exponential functions or logarithm functions.
Paul Dawkins
Paul's Online Notes: Logarithmic Functions Practice Problems
In this section we will discuss logarithm functions, evaluation of logarithms and their properties. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a...
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Science Struck
Science Struck: Father of Calculus Newton or Leibniz?
Discusses the continuing debate over who was the founder of calculus, Sir Isaac Newton or Gottfried Wilhelm von Leibniz.
University of California
Average Value of a Function
This site contains a PowerPoint presentation on the average value of a function.
Science Struck
Science Struck: 32 Easy Isaac Newton Facts for Kids
Provides information about Isaac Newton, his accomplishments, his views on religion, and some interesting facts about him.
Texas Instruments
Texas Instruments: Logistic Growth
Students are introduced to logistic growth curves using a graphing calculator. Lab data includes the number of bacteria over a 20-hour period. The activity numerically approximates the derivative and uses regression to find a curve...
Khan Academy
Khan Academy: Application of Definite Integrals
If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.
Khan Academy
Khan Academy: Area Between Curves
By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.
Khan Academy
Khan Academy: Exponential Models & Differential Equations
This video, from Khan Academy, is about modeling different things with differential equations and this topic is well explained by modeling population.
Khan Academy
Khan Academy: Worked Example: Problem Involving Definite Integral (Algebraic)
Using definite integral to solve a word problem about the growth in the population of a town.
Khan Academy
Khan Academy: Worked Example Motion Problems With Definite Integrals
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
University of California
Ucla Mathematics Department:average Value of a Function
UCLA Mathematics Department provides specific example of the average value of a function.
University of California
Ucla Mathematics Department : Midpoint Rule
This site from UCLA Mathematics Department explains the Midpoint Rule and how it relates to a double integral and finding surface area.
Purple Math
Purplemath: Functions: Domain and Range
Discusses the domain and range of a function, and how to find the domain and range from a list of points or from a graph.
Khan Academy
Khan Academy: Absolute Value of Complex Numbers
Given a complex number in the form a+bi, find its absolute value. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints. HSN.CN.B.4