# The Fundamental Theorem Of Calculus Homework

Both of these problems will be used to introduce the concept of limits, although we won't formally give the definition or notation until the next section.The Limit – In this section we will introduce the notation of the limit.

Both of these problems will be used to introduce the concept of limits, although we won't formally give the definition or notation until the next section.The Limit – In this section we will introduce the notation of the limit.

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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.

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.

Functions – In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.

Inverse Functions – In this section we will define an inverse function and the notation used for inverse 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!We will discuss the interpretation/meaning of a limit, how to evaluate limits, the definition and evaluation of one-sided limits, evaluation of infinite limits, evaluation of limits at infinity, continuity and the Intermediate Value Theorem.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.) and how it can be used to evaluate trig functions.Solving Trig Equations – In this section we will discuss how to solve trig equations.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.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.

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