Department of Mathematics
Precalculus 
by Example
Series
Course Fact Sheet


1 mile is equivalent to 5,280 feet, or 1,760 yards or 1,609.34 meters.

Area is a measure of the square units of an enclosed 2 dimensional space:

Area of a circle =  where, r is the radius ( ½ the diameter) and

(3.1415926535897932384626433832795...)

e is the base of the natural system of logarithm, having a numerical value of approximately 2.718

Constants:
Avogadro's number = N = 6.02 x 1023 mass of earth = 5.98 x 1024 kg 
speed of light = c = 3 x 108 m/s earth equator radius =3960 mi = 6.38 x 106 m
density (mass / volume) of water = 1 g / cm3 acceleration of gravity =32 ft / s2 = 9.8 m / s2
distance to sun from earth = 93,000,000 miles .. , e = 2.142..

Conversion Factors / Formulas:
Length Volume Energy Mass
1 in = 2.54 cm 1 gallon = 3.7854 L ! J = 1 kg m2 / s2 1 oz = 28.3495 g
1 ft = 0.3048 m 1 quart = 0.946353 L 1 cal = 4.184 J 1 lb = 0.453592 kg
1 mi = 1.609344 km  

Abbreviations:
Inch = in Millimeter = min Second = sec = s Ounce = oz
Feet = ft centimeter = cm minute = min pound = lb
yard = yd meter = m hour = hr gram = g
mile = mi kilometer = km year = yr. kilogram = kg
       
quart = qt millimeter = ml Joule = J atmosphere = atm
gallon = gal liter = L calorie = cal Coulomb = C
       
radian = rad miles per hour = mi . Hr = mph meter per second = m / sec = m /s degree = deg = 0
feet per second = ft / sec = ft / s revolutions per minutes = rev / min = RPM    

Approximations / Others:
N0 = 1, e.g. 230 = 1

Math Models:
Linear Model

Exponential Model

or   k = ln(1+r)

Logarithmic Model

 y = ln x , e y =x,

 x > 0 

Absolute Value 

| a | = a and | a | = -a

Square Root Models