Study Guides

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: McGrawHill 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: McGrawHill 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: McGrawHill 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: McGrawHill 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: McGrawHill 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: McGrawHill 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: McGrawHill Professional 
8.
Calculus Basics Practice Test
Review the following concepts if needed: Number Systems Help Coordinates in One Dimension Help ...
Source: McGrawHill 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: McGrawHill 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: McGrawHill Professional