Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
Paul Dawkins
Paul's Online Notes: Inverse Functions Practice Problems
n this section we will define an inverse function and the notation used for inverse functions. We will also discuss the process for finding an inverse function.
Paul Dawkins
Paul's Online Notes: Exponential and Logarithm Equations Practice Problems
In this section we will discuss various methods for solving equations that involve exponential functions or logarithm functions.
Paul Dawkins
Paul's Online Notes: Trig Functions
In this section we will give a quick review of trig functions. We will cover the basic notation, relationship between the trig functions, the right triangle definition of the trig functions. We will also cover evaluation of trig...
Paul Dawkins
Paul's Online Notes: Solving Trig Equations
In this section we will discuss how to solve trig equations. The answers to the equations in this section will all be one of the "standard" angles that most students have memorized after a trig class. However, the process used here can...
Paul Dawkins
Paul's Online Notes: Solving Trigonometric Equations
n this section we will discuss solving trig equations when the answer will (generally) require the use of a calculator (i.e. they aren't one of the standard angles). Note however, the process used here is identical to that for when the...
Paul Dawkins
Paul's Online Notes: Solving Trigonometric Equations Part 2
In this section we will continue our discussion of solving trig equations when a calculator is needed to get the answer. The equations in this section tend to be a little trickier than the "normal" trig equation and are not always...
Paul Dawkins
Paul's Online Notes: Exponential Functions Practice Problems
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
Paul Dawkins
Paul's Online Notes: Logarithmic Functions Practice Problems
In this section we will discuss logarithm functions, evaluation of logarithms and their properties. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a...
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Paul Dawkins
Paul's Online Notes: The Limit: Practice Problems
Practice exercise features six problems that review limits.
Paul Dawkins
Paul's Online Notes: Infinite Limits: Practice Page
Review exercise provides eight problems that provide practice in evaluating infinite limits and vertical asymptotes.
Paul Dawkins
Paul's Online Notes: Computing Limits: Practice Page
Practice exercise reviews how to compute limits using the limit properties. Also practices computing limits of piecewise functions and use of the Squeeze Theorem.
Paul Dawkins
Paul's Online Notes: Continuity: Practice Problems
Practice exercise reviews the concept of continuity and how it relates to limits. Also, provides practice with the use of the Intermediate Value Theorem.
Paul Dawkins
Paul's Online Notes: Limit Properties: Practice Page
Provides nine practice problems that review the properties of limits used in computing limits.
Paul Dawkins
Paul's Online Notes: Limits at Infinity, Part Ii: Practice Problems
Provides practice problems that review limits at infinity concentrating on exponentials, logarithms and inverse tangents in this section.
Paul Dawkins
Paul's Online Notes: Limits at Infinity, Part I: Practice Problems
Provides practice problems that review limits at infinity concentrating on polynomials and rational expressions and a brief look at horizontal asymptotes.
Paul Dawkins
Paul's Online Notes: Algebra: Zeroes/roots of Polynomials
Learn about the root or zero of a polynomial with this reference guide. Includes definitions, step-by-step instructions on how to find all the zeroes for a given polynomial, and multiple examples. Also included is a description of The...
Paul Dawkins
Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.
Paul Dawkins
Paul's Online Notes: Algebra Cheat Sheet [Pdf]
An algebra "cheat sheet" to use as a reference when completing algebra homework. Lists basic facts, properties, operations, formulas, and functions, as well as common errors.
Paul Dawkins
Paul's Online Notes: Trig Cheat Sheet [Pdf]
A trigonometry "cheat sheet" to use as a reference when completing trigonometry homework. Lists basic facts, properties, identities, formulas, and inverse trigonometric functions.