Interactive Mathematics
Interactive Mathematics: Geometric Progressions
How much rice did the prince get from the king? Find out here as the legendary story is solved using a geometric series. Additional examples and formulas are provided.
Interactive Mathematics
Interactive Mathematics: Infinite Geometric Series
An explanation of an infinite series is given and then demonstrated in an example that is easy to follow.
Interactive Mathematics
Interactive Mathematics: Fractals
A simple explanation of fractals is presented, along with several diagrams including the Mandelbrot set and Julia set.
Interactive Mathematics
Interactive Mathematics: Higher Derivatives
Examples of taking the second derivatives of functions is presented and applied a the real world problem involving acceleration.
Interactive Mathematics
Interactive Mathematics: Integration by Parts
Integration is made easier by separating functions into parts. See the process in these examples, then try a few on your own.
Interactive Mathematics
Interactive Mathematics: Force Due to Liquid Pressure
Examples are provided to demonstrate how integrals are used to determine the amount of force liquid produces. The solutions are included, but hidden so students can work the problem independently.
Interactive Mathematics
Interactive Mathematics: Integration by Partial Fractions
This lesson offers step-by-step instruction on how to integrate functions containing rational expressions using partial fractions. Several situations are presented and rules are provided for working with the integrals. Several examples...
Interactive Mathematics
Interactive Mathematics: Fourier Series Even & Odd Functions
After identifying even and odd functions, the process for finding the Fourier Series for these types of functions is demonstrated. Detailed examples and graphs are provided.
Interactive Mathematics
Interactive Mathematics: Full Range Fourier Series
This lesson presents the Dirichlet conditions that are required in order to represent a function as a Fourier Series. Examples are provided along with graphs of the waveforms that represent the functions.
Interactive Mathematics
Interactive Mathematics: Half Range Fourier Series
This presentation helps to identify when a function can be represented by only a half range Fourier series. It then shows how to find these series for even and odd functions.
Interactive Mathematics
Interactive Mathematics: Harmonic Analysis
Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.
Interactive Mathematics
Interactive Mathematics: Fast Fourier Transform
The Fast Fourier Transform is applied using examples of digital audio recording. Connections to frequency are made through prisms and the cochlea of the ear.
Interactive Mathematics
Interactive Mathematics: Addition & Subtraction of Fractions
The addition and subtraction of algebraic expressions is presented with detailed examples and exercises for extra practice.
Interactive Mathematics
Interactive Mathematics: Factoring and Fractions
Polynomials are the focus of these lessons, concentrating on factoring and special products to work with rational expressions. Interactive tools of Live Math and Scientific Notebook are used to provide animated solutions to the examples....
Interactive Mathematics
Interactive Mathematics: Division of Algebraic Expressions
Dividing algebraic expressions is demonstrated with several examples. Methods as simple as using reciprocals are shown, as well as using long division to divide polynomial expressions.
Interactive Mathematics
Interactive Mathematics: Equations With Radicals
Several equations containing radicals are solved to demonstrate the correct procedure. Caution is taken when checking solutions that do not work for the original equation.
Interactive Mathematics
Interactive Mathematics: Equations Involving Fractions
The method of solving equations with rational expressions is demonstrated through the use of word problem. Exercises are provided for extra practice.
Interactive Mathematics
Interactive Mathematics: Exponential & Logarithmic Functions
The connection between exponential and logarithmic functions is made clear through examples and practice exercises.
Interactive Mathematics
Interactive Mathematics: Exponential & Logarithmic Equations
Several examples on solving exponential and logarithmic equations are presented here. Practice problems and a real-world application involving bacteria growth are included.
Interactive Mathematics
Interactive Mathematics: Determinants
Using determinants and Cramer's Rule, systems of two and three variables are solved step by step. Several examples are presented to demonstrate how Cramer's Rule is used.
Interactive Mathematics
Interactive Mathematics: Counting and Probability
An introduction to the concept of counting and probability includes working with factorials and finding the probability of an event.
Interactive Mathematics
Interactive Mathematics: Combinations
The combination function is used to solve probability counting problems. Several examples are presented with detailed solutions.
Interactive Mathematics
Interactive Mathematics: Derivatives of Polynomials
Several formulas for derivatives are presented, including formulas for constants, powers, products, and sums. Exercises are included that allow you to work the problem before seeing the answer.
Interactive Mathematics
Interactive Mathematics: Curvilinear Motion
Using parametric equations, velocity and acceleration values are determined for objects in curvilinear motion.