The tutorial explores applications of trigonometric graphs. Topics include simple harmonic motion and angular velocity. Definitions, an animation, examples, and practice exercises are included.
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
The definition and properties of binomial distributions are presented here, along with the formulas for finding the mean and variance. Examples are provided to demonstrate how binomial distribution problems are solved.
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 provided as well as extra practice with the concepts.
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 of function.
Using DeMoivre's Theorem, the powers and roots of complex numbers are simplified. Several examples are given, including interactive exercises.
The definitions of domain and range are given in this lesson. Then use the examples to practice determining domain and range of several functions. Real-world applications are provided to enhance the concept.
The concept of equivalent fractions is applied to algebraic expressions. Examples of how to simplify expressions are included, along with when to stop simplifying. Includes practice problems.
Two methods are demonstrated for finding the inverse of a matrix. The examples are detailed and easy to follow. Several interactive examples are also provided.
A description of the complex plane is given with examples of how to plot complex numbers. Also included is an explanation of how to add complex numbers graphically.
Using the graphing method, several systems of nonlinear equations are solved. Follow each example step by step to see how solutions are derived.
Interactive graphs of base 10 exponential and logarithmic functions are demonstrated and applied to real-world problems.
A brief overview of three methods used to graph lines is presented through examples. Slope-intercept, point-slope, and intercept form are demonstrated step-by-step along with a review of the formula for finding the slope of a line.
An interactive graph provides a demonstration to show how the measure of an angle is related to the sine and cosine waves. Topics covered include amplitude and period. Examples allow students to practice the concepts.
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
This tutorial explains how to distinguish between independent and dependent events. Several examples are provided to find the probability of each type of event.