Math Learning Center
Boise State 2010
Modeling with non-linear functions
STEM 8
Radicals appear in many situations in science including: Laws of Motion, Hookes Law, pendulum
oscillation, Series RLC circuits (electronics), Maxwell-Boltzman distribution, an
Math Learning Center
Boise State 2010
Quadratic Functions
STEM 9
Quadratic functions are of the form
where
are real number coefficients. Last week we
worked with moving objects and saw that physics desires the
equation to be written in ascending order of
Math Learning Center
Boise State 2010
Quadratic Modeling
STEM 10
Today we are going to put together an understanding of the two physics equations we have been using.
Distance:
height :
Recall the variables:
o
acceleration
o
gravitation force (be careful o
Math Learning Center
Boise State 2010
Formulas
STEM
One definition of the word formula is a conventionalized statement expressing some fundamental
principle. Adding the word mathematical to formula we can define a mathematical formula as a
conventionalize
Math Learning Center
Boise State 2010
More Formulas: circles: week 12
STEM
Due to the geometric shape of circles, they play an important role in our society. Depending on the
industry that one works in, understanding the effects of a circle may play a dai
Math Learning Center
Boise State 2010
Exponential functions: week 13
STEM
As we have seen, exponential functions describe events that grow (or decline) at a constant percent
rate, such as placing finances in a savings account. Exponential functions will h
Math Learning Center
Boise State 2010
Linear Modeling
STEM
Last week we looked at momentum problems,
. Consider the following problem:
If a 3000kg truck traveling at 5 m/s strikes a 2000 kg sedan which is stopped at a stop light and if the two
vehicles st
Math Learning Center
Boise State 2010
Linear Graphing
STEM 3
(Science Technology Engineering Math)
Graphing is an important skill in mathematics. It gives us the ability to visualize the numerical concepts
we are discussing and to develop pictures which m
Math Learning Center
Boise State 2010
Linear Modeling
STEM
Mathematical Modeling is simply the act of building a model (usually in the form of graphs) which
provides a picture of a situation that is based on a numerical situation.
Linear Modeling is Mathe
Math Learning Center
Boise State 2010
Graphing Radicals
STEM 7
Radical functions have the form:
The most frequently used radical is the square root; since it is the most frequently used we assume the
number 2 is used and the square root is written as:
Squ