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Calculus I Here are a set of practice problems for the Calculus I notes. Click on the "Solution" link for each problem to go to the page containing the solution.
Note that some sections will have more problems than others and some will have more or less of a variety of problems. Most sections should have a range of difficulty levels in the problems although this will vary from section to section.
Here is a listing of sections for which practice problems have been written as well as a brief description of the material covered in the notes for that particular section.
Review - In this chapter we give a brief review of selected topics from Algebra and Trig that are vital to surviving a Calculus course. Inverse Functions — In 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.
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 functions as well as the unit circle one of the most important ideas from a trig class!
Solving Trig Equations — In this section we will discuss how to solve trig equations. However, the process used here can be used for any answer regardless of it being one of the standard angles or not.
Solving Trig Equations with Calculators, Part I — In this section we will discuss solving trig equations when the answer will generally require the use of a calculator i. Note however, the process used here is identical to that for when the answer is one of the standard angles.
The only difference is that the answers in here can be a little messy due to the need of a calculator.
Included is a brief discussion of inverse trig functions. Solving Trig Equations with Calculators, Part II — 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 covered in a trig class.
Exponential Functions —In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus and higher classes.
Exponential and Logarithm Equations — In this section we will discuss various methods for solving equations that involve exponential functions or logarithm functions.
Common Graphs — 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. Limits - In this chapter we introduce the concept of limits. We will also give a brief introduction to a precise definition of the limit and how to use it to evaluate limits Tangent Lines and Rates of Change — In this section we will introduce two problems that we will see time and again in this course: Rate of Change of a function and Tangent Lines to functions.
The Limit — In this section we will introduce the notation of the limit. We will also take a conceptual look at limits and try to get a grasp on just what they are and what they can tell us.
We will be estimating the value of limits in this section to help us understand what they tell us. We will actually start computing limits in a couple of sections. One-Sided Limits — In this section we will introduce the concept of one-sided limits.
We will discuss the differences between one-sided limits and limits as well as how they are related to each other.
We will also compute a couple of basic limits in this section. Computing Limits — In this section we will looks at several types of limits that require some work before we can use the limit properties to compute them.
We will also look at computing limits of piecewise functions and use of the Squeeze Theorem to compute some limits.WebMath is designed to help you solve your math problems.
Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution.
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