Interactive Mathematics
Interactive Mathematics: Complex Numbers: Basic Definitions
After reviewing the process of solving quadratic and cubic equations, a definition of an imaginary number is given. Also included is a demonstration of simplifying powers of the imaginary number and writing complex numbers. Examples are...
Interactive Mathematics
Interactive Mathematics: Basic Operations With Complex Numbers
Add, subtract, multiply and divide complex numbers using these easy-to-follow examples.
Interactive Mathematics
Interactive Mathematics: Limits
Beginning with a discussion on continuity, this site introduces the concept of limits. Several examples are presented, some of which allow you to work the problem yourself before seeing the problem. Graphs are included on several of the...
Interactive Mathematics
Interactive Mathematics: Graphs of Tan, Cot, Sec, & Csc
Several examples are presented that demonstrate how to graph the tan, cot, sec, and csc functions.
Interactive Mathematics
Interactive Mathematics: Work
Integration is applied to the real world by finding the work done by a constant force on a body. Several examples are provided, including one that applies Hooke's Law for springs.
Interactive Mathematics
Interactive Mathematics: Vital Revision for Fourier Series
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Interactive Mathematics
Interactive Mathematics: Simpson's Rule
Using parabolas to determine the area under a curve proves to be better estimate then other methods. This demonstration of Simpson's Rule allows the student to see just how accurate this approximation can be.
Interactive Mathematics
Interactive Mathematics: Solving Equations
The steps to solving one-variable equations are demonstrated in several examples, which include variables on both sides of the equations and parentheses.
Interactive Mathematics
Interactive Mathematics: The Sum and Difference of Cubes
The method to factor sums and differences of perfect cubes is presented along with an example and several exercises to use for practice.
Interactive Mathematics
Interactive Mathematics: Simplest Radical Form
The laws for simplifying radicals are presented along with several examples and exercises that put the laws to practice.
Interactive Mathematics
Interactive Mathematics: Properties of Logarithms
The properties of logarithms are presented here, along with examples of how to apply to them to situations like population growth.
Interactive Mathematics
Interactive Mathematics: Solving Systems Algebraically
Both the substitution and elimination methods are presented through detailed examples. Learn step by step how to find solutions to any linear system of two variables.
Interactive Mathematics
Interactive Mathematics: Solving Non Linear Inequalities
The steps for solving non-linear inequalities are presented along with examples to demonstrate the processes. Examples include equations that contain quadratics, cubics and rational expressions.
Interactive Mathematics
Interactive Mathematics: Solving Inequalities W/ Absolute Value
These examples can help you solve absolute value inequalities. They show each step and are easy to follow. The last example demonstrates how to graph the solution.
Interactive Mathematics
Interactive Mathematics: The Right Triangle and Applications
Learn how to "solve" a right triangle and apply the concept to real world situations using angles of elevation and depression.
Interactive Mathematics
Interactive Mathematics: Trigonometric Functions of Any Angle
Given a reference angle, you can find the trigonometric functions of any angle. The process is demonstrated in this lesson and examples are provided for practicing the concept.
Interactive Mathematics
Interactive Mathematics: Radians
Learn the definition of radians and how to calculate trig ratios using radian measures. Examples are provided showing how to convert from degrees to radians.
Interactive Mathematics
Interactive Mathematics: Rectangular Coordinates
Descriptions of x- and y-coordinates are presented, followed by an interactive game that demonstrates how to plot points on the coordinate plane. Examples and exercises are provided for practice.
Interactive Mathematics
Interactive Mathematics: Toto, the Singapore Lottery
The probability of winning this popular lottery game is calculated for each type of winning combination. An interesting phenomenon is presented and its probability is also calculated.
Interactive Mathematics
Interactive Mathematics: The Normal Distribution
Formulas and properties of the normal distribution are presented, including details on the normal random variable and the standard normal distribution. Several real world examples are also included with detailed solutions.
Interactive Mathematics
Interactive Mathematics: The Differential
This discussion on the differential is an introduction for the topic of integration. An interactive example shows the diiference between a derivative and a differential, and is followed by a discussion on relative error and proportionate...
Interactive Mathematics
Interactive Mathematics: The General Power Rule
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
Interactive Mathematics
Interactive Mathematics: Solving Differential Equations
This intoduction provides definitions and examples of different types of differential equations. Examples are used to demonstrate the process and allow you to work the problem prior to seeing the solution.
Interactive Mathematics
Interactive Mathematics: Separation of Variables
Differential equations are solved by separating the variables. Several examples are presented to demonstrate the process and include detailed solutions.