Pronunciation: /ˌmæθ əˈmæt ɪ kəl ˈmɒd l/ Explain
A mathematical model is a
either real world data or situations, or illustrates a mathematical principle.
Graphs as Mathematical Models
Figure 1: Graph of exponential growth
model that increases slowly at first, then quickly.
A graph can model real life situations. The
in figure 1 is a model of exponential growth. Exponential growth occurs in natural
populations that grow without significant competition or predators.
Tables as Mathematical Models
|All dollar amounts are in millions of dollars
|Figure 2: Table as a mathematical model.
Tables can be mathematical models too. In
the table in figure 2, sales from the years 2003, 2004, and 2005 were
used to estimate the sales for 2006. The characters '(est.)'
in the table tell us the 2006 datum is an estimate, and is not actual sales.
Functions as Mathematical Models
|Figure 3 - Function as a mathematical model.||
can also model real world data. The function in figure 3 is an
exponential function and is used to model many natural events.
Cite this article as:
McAdams, David E. Mathematical Model. 9/2/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/m/mathmodel.html.
9/2/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
12/30/2008: Added vocabulary link to approximate. (McAdams, David E.)
6/7/2008: Corrected spelling. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)