Unit+1

=Unit 1 Prerequisites for Calculus= ==

Think Differently Video []

Conics []

=Prerequisites for Calculus=

Unit Overview
This chapter reviews the most important things you need to know to start learning calculus. It also introduces the use of a graphing utility as a tool to investigate mathematical ideas, to support analytic work, and to solve problems with numerical and graphical methods. The emphasis is on functions and graphs, the main building blocks of calculus. Functions and parametric equations are the major tools for describing the real world in mathematical terms, from temperature variations to planetary motions, from brain waves to business cycles, and from heartbeat patterns to population growth. Many functions have particular importance because of the behavior they describe. Trigonometric functions describe cyclic, repetitive activity; exponential, logarithmic, and logistic functions describe growth and decay; and polynomial functions can approximate these and most other functions.



=Trigonometry= Trig Note cards

unit circle []

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figure 1 || ||^  || ||^   ||
 * ** Figure 1 ** is the unit circle with angles (given in degrees and radians) that will be frequently used in future courses. (** All angles are stated in positive rotation. **) || [[image:http://faculty.eicc.edu/bwood/trig_info/unitcircle.gif width="409" height="352" align="center"]]
 * Convert from degrees to radians
 * Convert from radians to degrees


 * ** Angular Velocity: ** || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2128.gif width="45" height="41"]] || Arc Length: || s = r ´ x where x is in radians. ||

figure 2 || ||
 * Here are the six basic trig functions based on the following reference triangle. (See ** figure 2 **)

figure 3 ||
 * ** Here are the three special triangles that you should know. ** (See ** figure 3 **)


 * ** Here is a table of trig values that you should know. ** ||


 * ** DEG ** || 0o || 30o || 450 || 60o || 90o || 180o || 270o || 360o ||
 * RAD || 0 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2036.gif width="17" height="41" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2130.gif width="17" height="41" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2131.gif width="17" height="41" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2132.gif width="17" height="41" align="center"]] || p || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2133.gif width="28" height="46" align="center"]] || 2 p ||
 * Sin ** q ** || 0 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2134.gif width="16" height="41" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2135.gif width="30" height="48" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2136.gif width="29" height="46" align="center"]] || 1 || 0 || -1 || 0 ||
 * Cos ** q ** || 1 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2136.gif width="29" height="46" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2135.gif width="30" height="48" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2134.gif width="15" height="41" align="center"]] || 0 || -1 || 0 || 1 ||
 * Tan ** q ** || 0 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2140.gif width="29" height="48" align="center"]] || 1 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2141.gif width="29" height="46" align="center"]] || Und || 0 || Und || 0 ||
 * Cot ** q ** || Und || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2141.gif width="29" height="46" align="center"]] || 1 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2140.gif width="29" height="48" align="center"]] || 0 || Und || 0 || Und ||
 * Sec ** q ** || 1 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2146.gif width="29" height="48" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2145.gif width="28" height="25" align="center"]] || 2 || Und || -1 || Und || 1 ||
 * Csc ** q ** || und || 2 || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2145.gif width="28" height="25" align="center"]] || [[image:http://faculty.eicc.edu/bwood/trig_info/Image2146.gif width="29" height="48" align="center"]] || 1 || Und || -1 || Und ||