1) Are the following statements true or false?
a)
b)
c) 1 cfw_1,2,3
2) Create Venn Diagrams for the following sets.
a) ( )
b) ( ) U ( )
c) ( ) U ( )
d) ( )
3) A heart researcher has gathered the following data on 4,000 people who have suffered heart
att
Day 16
Lecture 14
Cartesian Graphs
0
2
STUFF I WANT YOU TO KNOW
You can _ to any point in the plane with two
_ directions.
Its a lot nicer if those directions are _ since
traveling in one of the two directions only affects the
orthogonal _ onto that dir
Day 08
Base-B Systems
Pencil & Paper Algorithms
(& their alternatives)
2
Todays Travel Plans
Generalities of Place Value Systems
Other Bases
The same number?
Comparing
Classic Pencil & Paper Algorithms
Alternative Pencil & Paper Algorithms
1
3
Last
Day 07 (on July 07)
MorePower
Having an Imagination
& Place-ing Our Selves
2
Todays Travel Plans
Thought Provoking
Rational Powers
Unlike Bases
The root of -1
Base 10
Base 5
Base 20
Base 2
Base 16
Pen & Paper Addition
1
3
Last Time we stopped ab
Day 06
Reciprocals,
Di vis ion,
&
Powers
2
Todays Travel Plans
What Fractions can do that Integers Cant
Some Algebra
Formal Division
Even, Odd, & Prime
Whole Powers
Integer Powers
Thought Provoking
Rational Powers
Unlike Bases
1
3
Last Time we st
Day 05
Frac tions
2
Todays Travel Plans
Integer Division
Lets Break Stuff
The many Faces of Fractions
Order Properties
Rational Numbers
Addition
Multiplication
What Fractions can do that Integers Cant
Some Algebra
1
3
What did we talk about yeste
Day 04
Integers, Fractions, and in
your face action
2
Todays Travel Plans
What did we talk about yesterday?
Integers Via M&Ms
Additive Operations and Properties
A little Algebra?
Integer Multiplication
Order and the Integers
Lets Break Stuff
The m
Day 03
Visual Models of
Number Systems
2
Todays Travel Plans
What did we talk about yesterday?
A Visual Model for the Whole Numbers and
Operations
A Visual Model for the Integers and
Operations
1
3
What did we talk about yesterday?
We saw a really a
Name:
Worksheet 7
Due Wednesday April 13, 2011
Show all computations. Write neatly. Staple your work.
1. Convert to degrees, minutes, seconds.
(a) 0.08
0.08 =
(b) 149.83
149.83 =
2.
(a) A tree is 800 meters away and has angular size 0.05 . How tall is the
Name:
Worksheet 6
Due Wednesday April 6, 2011
Show all computations. Write neatly. Staple your work.
1. Convert
(a)
7
12
to degrees.
7
12
=
(b) 47 to radians.
47 =
rad
2.
(a) Find both the radian and degree measure of an angle that spans
radian measure
de
Name:
Worksheet 5
Due Monday March 21, 2011
Show all computations. Write neatly. Staple your work.
1. Determine whether each of the following statements is true or false.
(a) If 0 < b < 1, then b1 < 1
T
F
T
F
T
F
T
F
(b) If b > 0 then ln(b) = ln(1/b).
(c)
Name:
Worksheet 4
Due Wednesday March 2, 2011
Show all computations. Write neatly. Staple your work.
1. Give the denition of a function. Be sure your denition includes the three parts of a
function.
2.
by
Consider the relation with input set cfw_1, 2, 3,
Name:
Worksheet 2
Due Wednesday February 1, 2011
Show all computations. Write neatly. Staple your work.
1. Consider the following table.
Table 1: Minimum Wages in California and Their Eective Dates
Eective Date
Mar. 1, 1998
Jan. 1, 2001
Jan. 1, 2002
Jan.
Name:
Worksheet 1
Due Wed. Jan. 19, 2011
Show all computations. Write neatly. Staple your work.
1. Complete the sentence.
(a) 12 is
(b) 65.1 is
(c) 12 is
(d) 65.1 is
% of 65.1
% of 12
% less than 65.1
% more than 12
2. Find the absolute change and the per
MGF 1107
Math for Liberal Arts 2
Spring 2011, SECTION 7556
InstructorMathew Gluck, Little Hall 435, [email protected], (352) 392-0281x303
Course Web Site www.math.u.edu/mgluck/MGF1107.html
DescriptionMGF 1107 is designed to serve non-science and non-business m
Uses and Abuses of Percentages
Wednesday January 5, 2011
Review
per cent means divided by 100, so for example, 50% = 50/100 = .5 and 125% =
125/100 = 1.25.
To convert a percent to a fraction, replace the percent sign with division by 100 (then
reduce th
Name:
Optional Quiz 4
Due Wednesday April 20, 2011
Staple your work
1. Consider the Serpenski sponge, constructed as follows. The zeroth iterate S0 is a 1 1
1
1
square. The rst iterate S1 is a 1 1 square with the middle 3 3 square removed, leaving
1
eight
Name:
Optional Quiz 3
Due Wednesday April 20, 2011
Staple your work
1. Consider the point A located on a sphere at 14 E latitude, 23 S longitude. Find the
location of the point antipodal to A.
2. Convert 118.09 to degrees, minutes, seconds format.
2
3.
In
Name:
Optional Quiz 2
Due Wednesday April 20, 2011
Staple your work
1. The following gure is made up of circular arcs spanning an angle of 90 . Find the
perimeter and area of the gure.
6m
9m
perimeter
area
2
2. The following gure is a right cylinder whose
Name:
Optional Quiz 1
Due Wednesday April 20, 2011
Staple your work
1. Find the equation of the line that has slope 1 and that passes through the point
5
(3, 1).
equation of line:
2. Find the equation of the line that passes through the points (4, 2) and
Final Exam Sample Problems
Here are some (not necessarily all) things you need to know how to do for the nal
exam.
Write a symmetry in cycle notation; draw the diagram for a symmetry given in cycle
notation.
Multiply symmetries. You should know how to m
9C: Exponential Modeling
Wednesday February 23, 2011
All functions in this section have domains and ranges consisting of numbers.
Basics
General Form of an Exponential Function
A(t) = A0 brt
A(t)
A0
b
r
t
=
=
=
=
=
amount at time t
initial amount (i.e. am
9B: Linear Modeling
Friday February 11, 2011 (continued)
All functions in this section have domains and ranges consisting of numbers.
Rate of Change
Denition L linear function is a function with a constant fate of change. That is, for every
unit increase
9A: Functions
(date)
Basics
Denition A function is a rule that assigns to each member of an input set exactly one
member of an outpout set. The input set for a function is called the domain of the function
and the output set is called the range of the fun
Loan Payments, Credit Cards and Mortgages
Monday February 7, 2011 (continued)
Loan Basics
Installment Loans
An Installment Loan is a loan that is paid o in equal monthly payments. In an
installment loan, as time goes on, the portion of each payment that
Savings Plans and Investments
Wednesday February 2, 2011 (continued)
The Savings Plan Formula
For most people, depositing a large lump sum of money into an interest bearing account is
not feasible. Instead, most people make small monthly payments into an
The Power of Compounding
Friday January 28, 2011 (continued)
Review: Powers and Roots
(a) Basics of Powers
A number raised to the nth power is that number multiplied by itself n times (n is
called the exponent). For example
21 = 2
22 = 2 2 = 4
23 = 2 2 2