Interactive Mathematics
Interactive Mathematics: Applications of Volumes by Integration
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Interactive Mathematics
Interactive Mathematics: The Graph of a Function
Several examples are presented to demonstrate the process of graphing functions, including linear, quadratic, and rational functions.
Interactive Mathematics
Interactive Mathematics: The Derivative
The examples presented here demonstrates finding the derivative of a function using "h" rather than "delta x" notation. Graphs are included as a visual aid.
Interactive Mathematics
Interactive Mathematics: Tangents and Normals
Finding the slopes and equations of the tangent and normal lines of curves is demonstrated using derivatives. Interactive examples are provided.
Interactive Mathematics
Interactive Mathematics: The Definite Integral
This demonstration allows you to see the process of finding the definite integral of a function, then put that process to practice in several examples. The definite integral is applied to real world situations such as work and average...
Interactive Mathematics
Interactive Mathematics: Trapezoidal Rule
Using trapezoids, the area under a curve can be determined. The Trapezoid rule is demonstrated to show exactly how that can be accomplished.
Interactive Mathematics
Interactive Mathematics: Trigonometric Functions
Just about everything you need to know about trigonometry can be found here. Interactive examples and demonstrations help to enhance the lessons. Although not required, the tutorial uses Live Math and Scientific Notebook.
Interactive Mathematics
Interactive Mathematics: Multiplication and Division of Radicals
This lesson describes how to multiply and divide radicals. Gives good example exercises.
Interactive Mathematics
Interactive Mathematics: Mutually Exclusive Events
After defining mutually exclusive events, this lesson presents several examples showing how to find the probability of such events.
Interactive Mathematics
Interactive Mathematics: Intoduction to Probability Theory
This tutorial defines experiment, sample space, and event. Several examples are presented to help distinguish between them.
Interactive Mathematics
Interactive Mathematics: Instantaneous Rate of Change
The derivative is applied to real world applications of velocity in an example using "h" notation and limits.
Interactive Mathematics
Interactive Mathematics: Integration by Trig Substitution
Having trouble integrating those tough functions? Try using Trigonometric Substitution. This lesson demonstrates the process and allows for you to practice using the examples provided.
Interactive Mathematics
Interactive Mathematics: Common Factor & Difference of Squares
These easy to follow examples demonstrate how to factor algebraic expression using GCF and difference of squares.
Interactive Mathematics
Interactive Mathematics: De Moivre's Theorem
Using DeMoivre's Theorem, the powers and roots of complex numbers are simplified. Several examples are given, including interactive exercises.
Interactive Mathematics
Interactive Mathematics: Conditional Probability
In this tutorial, conditional probability is presented with a definition and examples.
Interactive Mathematics
Interactive Mathematics: Derivatives of Products and Quotients
The product and quotients rules for derivatives are presented. Several examples are provided to allow practice for applying the rules to finding the derivatives to functions.
Interactive Mathematics
Interactive Mathematics: Differentiation of Implicit Functions
Several examples are presented to illustrate implicit differentiation for functions where it is difficult to solve for y.
Interactive Mathematics
Interactive Mathematics: Curve Sketching
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...
Interactive Mathematics
Interactive Mathematics: Derivatives of Logarithmic Functions
The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.
Interactive Mathematics
Interactive Mathematics: Add and Subtract Algebraic Expressions
Information is given on how to add and subtract algebraic expressions. Also included is information on terms, coefficients, and like terms, as well as examples to demonstrate how to simplify.
Interactive Mathematics
Interactive Mathematics: Applications of Radian Measure
After demonstrating how to find arc length and sector area using radian measures, student can practice the concepts with the examples provided and play an interactive game involving angular velocity.
Interactive Mathematics
Interactive Mathematics: Baye's Theorem
In this lesson, several probabilities are calculated using the theorem named after Thomas Bayes.
Interactive Mathematics
Interactive Mathematics: Applications of Indefinite Integrals
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
Interactive Mathematics
Interactive Mathematics: Average Value of a Function
Examples demonstrate how integrals are used to find the average value of a function. Check out the Head Injury Criterion link for an interesting application of average value.