In this section you'll find study materials for calculus help. Use the links below to find the area of calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn calculus.

Study Guides

showing 1 - 10 of 94
  • 1.

    Coordinates in Two Dimensions Help

    Introduction to Coordinates in Two Dimensions We locate points in the plane by using two coordinate lines (instead of the single line that we used in one dimension). Refer to Fig. 1.6. We determine the coordinates of the given point P by first determining ...

    Source: McGraw-Hill Professional
  • 2.

    The Slope of a Line in the Plane Help

    Introduction to The Slope of a Line in the Plane A line in the plane may rise gradually from left to right, or it may rise quite steeply from left to right (Fig. 1.13).

    Source: McGraw-Hill Professional
  • 3.

    The Equation of a Line Help

    Introduction to The Equation of a Line The equation of a line in the plane will describe—in compact form—all the points that lie on that line. We determine the equation of a given line by writing its slope in two different ways and then equating them. ...

    Source: McGraw-Hill Professional
  • 4.

    Loci in the Plane Help

    Introduction to Loci in the Plane The most interesting sets of points to graph are collections of points that are defined by an equation. We call such a graph the locus of the equation. We cannot give all the theory of loci here, but instead consider a ...

    Source: McGraw-Hill Professional
  • 5.

    Trigonometry Review for Calculus Help

    Introduction to Trigonometry Review for Calculus Here we give a whirlwind review of basic ideas of trigonometry. When we first learn trigonometry, we do so by studying right triangles and measuring angles in degrees. Look at Fig. ...

    Source: McGraw-Hill Professional
  • 6.

    Sets and Functions Help

    Introduction to Sets and Functions A set is a collection of objects. We denote a set with a capital roman letter, such as S or T or U. If S is a set and s is an object in that set then we write s

    Source: McGraw-Hill Professional
  • 7.

    A Few Words About Logarithms and Exponentials Help

    Introduction to a A Few Words About Logarithms and Exponentials We will give a more thorough treatment of the logarithm and exponential functions in Chapter 6. For the moment we record a few simple facts so that we may use these functions in ...

    Source: McGraw-Hill Professional
  • 8.

    Calculus Basics Practice Test

    Review the following concepts if needed: Number Systems Help Coordinates in One Dimension Help ...

    Source: McGraw-Hill Professional
  • 9.

    Calculus and the Idea of Limits Help

    Introduction to Calculus and the Idea of Limits The single most important idea in calculus is the idea of limit. More than 2000 years ago, the ancient Greeks wrestled with the limit concept, and they did not succeed . It is only in ...

    Source: McGraw-Hill Professional
  • 10.

    Properties of Limits Help

    Introduction to Properties of Limits To increase our facility in manipulating limits, we have certain arithmetical and functional rules about limits. Any of these may be verified using the rigorous definition of limit that was provided at the beginning of the last ...

    Source: McGraw-Hill Professional
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