MATH 101 Lecture #6 - Absolute Values
Hello again. I hope you have been sufficiently awakened by the last class...*chuckles*. Just sit down quickly and hand in your problem sets, etc. etc. Your quizzes from last week are also graded...and curved due to some major failures difficulties. Hmph!
This is an easy class today...so you can stop looking so damned crestfallen. Now... *starts writing on board*
We are learning absolute values today. As I said before, THEY ARE VERY EASY.
In mathematics, the absolute value (or modulus) of a real number is its numerical value without regard to its sign. So, for example, 3 is the absolute value of both 3 and −3.
The absolute value of a number a is denoted by | a | . In computer programming, the function used to perform this calculation is usually called abs().
Generalizations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
Here's a graph of the function y = | x |. You kids should remember/memorize this well...har har.
FIG 1
...that is all. Here are some really dumb problems. Please get them right at least. HMPH!
((Too lazy to post grades of HW/etc. MAKE IT UP ON YOUR OWN SHEESH!))
This is an easy class today...so you can stop looking so damned crestfallen. Now... *starts writing on board*
We are learning absolute values today. As I said before, THEY ARE VERY EASY.
In mathematics, the absolute value (or modulus) of a real number is its numerical value without regard to its sign. So, for example, 3 is the absolute value of both 3 and −3.
The absolute value of a number a is denoted by | a | . In computer programming, the function used to perform this calculation is usually called abs().
Generalizations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
Here's a graph of the function y = | x |. You kids should remember/memorize this well...har har.
FIG 1
...that is all. Here are some really dumb problems. Please get them right at least. HMPH!
((Too lazy to post grades of HW/etc. MAKE IT UP ON YOUR OWN SHEESH!))