Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Factoring Polynomials
Detailed math tutorial features notes and examples that illustrate how to factor polynomials. It discusses factoring out the greatest common factor, factoring by grouping, factoring quadratics, and factoring polynomials with degree...
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Rational Expressions
Detailed math tutorial features notes and examples that define rational expressions and investigate how to reduce a rational expression to lowest terms, add, subtract, multiply, and divide rational expressions.
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part I
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations by factoring and the square root property.
Paul Dawkins
Paul's Online Notes: Algebra: Solving Exponential Equations
Detailed math tutorial features notes and examples that discuss methods for solving equations that contain exponentials.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Paul Dawkins
Paul's Online Notes: Algebra: Symmetry
Detailed math tutorial features notes and examples that take a look at symmetry, discussing symmetry about the x-axis, y-axis, and the origin. Shows methods for testing the symmetry of a graph.
Paul Dawkins
Paul's Online Notes: Algebra: Transformations
Detailed math tutorial features notes and examples that take a look at vertical and horizontal shifts of graphs as well as reflections of graphs about the x and y-axis, often called transformations.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing Functions
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
Paul Dawkins
Paul's Online Notes: Algebra: Applications
Provides examples of applications of exponential functions involving compound interest and exponential growth and decay, and an example of an application of a logarithm involving earthquake intensity.
Paul Dawkins
Paul's Online Notes: Algebra: Solving Logarithm Equations
Detailed math tutorial features notes and examples that take a look at some methods for solving equations that contain logarithms.
Paul Dawkins
Paul's Online Notes: Algebra: Logarithm Functions
Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...
Paul Dawkins
Paul's Online Notes: Algebra: Partial Fractions
Detailed math tutorial features notes and examples that take a look at the process of partial fractions and finding the partial fraction decomposition of a rational expression.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing
Detailed math tutorial features notes and examples that take a look at the Cartesian (or Rectangular) coordinate system. Provides definitions of ordered pairs, coordinates, quadrants, and x and y-intercepts.
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Paul Dawkins
Paul's Online Notes: Algebra: Finding Zeroes of Polynomials
This tutorial looks at a process using the Rational Root Theorem that allows you to find some of the zeroes of a polynomial and in special cases all of the zeroes.
Paul Dawkins
Paul's Online Notes: One Sided Limits: Practice Page
Practice exercise reviews one-sided limits.
Paul Dawkins
Paul's Online Notes: Algebra: Solutions and Solution Sets
Detailed math tutorial features notes and examples that introduce and define basic ideas involved in solving equations and inequalities and solution sets.
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries
Students review concepts that are important to an Algebra class. Topics examined are exponents, polynomials, complex numbers, and radicals. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Paul Dawkins
Paul's Online Notes: Algebra: Solving Equations and Inequalities
Students learn how to solve equations and inequalities. Topics examined are linear equations, quadratic equations, linear inequalities, and absolute value inequalities. The class notes are available in pdf format.
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Algebra: Polynomial Functions
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Paul Dawkins
Paul's Online Notes: Algebra: Exponential and Logarithm Functions
Students investigate exponential and logarithm functions. Topics explored are solving exponential functions, solving logarithm equations, and applications. Class notes, definitions, and examples with detailed solutions are included. The...