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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 be used for any answer regardless of it being one of the standard angles or not.
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.
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.
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 ( they aren’t one of the standard angles).
Note however, the process used here is identical to that for when the answer is one of the standard angles.Review - In this chapter we give a brief review of selected topics from Algebra and Trig that are vital to surviving a Calculus course.Included are Functions, Trig Functions, Solving Trig Equations and Equations, Exponential/Logarithm Functions and Solving Exponential/Logarithm Equations.\(^\), as well as the properties and graphs of exponential functions Logarithm Functions – 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.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.e.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.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.