Math 114 -- Modeling with Algebra and Statistics -- Spring
2007
Official
Course Description
The textbook for this course is: Explorations in College Algebra,
3rd edition, by Kime, Clark and Michael. Be sure to buy it
packaged
with both the WileyPLUS web
program and iClickers.
It is available in this package at the USD bookstore (or at least will
be, when they get it in). Do
NOT register for
WileyPLUS
or open the iClicker box until told to do so in class.
WileyPLUS web site:
http://edugen.wiley.com/edugen/class/cls32982/
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Homework Assignments:
Assignments
up to Exam 1
Assignments between Exam 1 and Exam 2
Assignments after Exam 2
Due:
April
30: In class: begin logarithmic functions, inverse
functions, and composition of functions.
May 2: (1) Read/reread
Section 6.4 and handout.
(2)
Do WileyPLUS assignment "6.4+8.6" by 10 am.
(3) Problems
from the textbook to be handed in:
Chapter 6 (starting on p. 366): #75, 76,
84.
Problems from the handout to be handed in:
Algebra Aerobics, p. 317 #1, 2, and Algebra Aerobics, p. 322 #1.
May 4: (1) Read Section 5.7
and 6.6.
(2) Do
WileyPLUS assignment "6.4+8.6 more" by 10 am.
(3) Problems
from the textbook to be handed in:
Chapter 8 (starting on p. 527): #149,
151, 154.
(4)
Another problem to be handed in:
The formula for
the Richter magnitude of a given earthquake is given by M = log (I /
Io) where Io is the "threshold quake", or movement that can barely be
detected, and the intensity I can be given in terms of multiples of the
threshold intensity.
You have a seismograph set up at home, and see
that there was an event while you were out that had an intensity of I =
468 Io. Given that a heavy truck rumbling by can cause a microquake
with a Richter rating of 3 or 3.5, and "moderate" quakes have a Richter
rating of 4 or more, what was likely the event that occurred while you
were out?
(5)
Study for the quiz.
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May 7: (1) Read (or
re-read) Sections 5.7 and 6.6.
(2) Do WileyPLUS assignment
"6.6+8.6" by 10 am.
(3)
Problems from the textbook to be handed in: Chapter 8 (starting
on p.528): #157, 161, 162, 163.
(4) Two
more problems to be handed in:
1. A company believes there is a linear relationship
between the consumer demand for its products and the price
charged. When the price was $3 per unit, the quantity demanded
was 500 units per week. When the unit price was raised to $4, the
quantity demanded dropped to 300 units per week. Let D(p) be the
quantity per week demanded by consumers at a unit price of $p.
(a) Estimate and interpret D(5).
(b) Find a formula for D(p) in terms of p.
(c) Calculate and interpret .
(d) Give an interpretation of the slope of D(p) in terms of
demand.
(e) Currently, the company can produce 400 units every
week. What should the price of the product be if the company
wants to sell all 400 units?
(f) If the company produced 500 units per week instead of 400
units per week, would its weekly revenues increase, and if so, by how
much?
2. The table below gives the number of cows in a herd.
t
(years)
1 2
P(t)
(number of cows) 165 182
(a) Find an exponential function that models the situation.
(b) Find the inverse function of the function in part (a).
(c) When do you predict that the herd will contain 400 cows?
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May 9: (1) Read page 3 and
the first topic on page 4 of the worksheet handed out on Monday.
(2) Do
WileyPLUS assignment "5.7+6.6 alt" by 10 am.
(3) Start
the written assignment due on Friday, and do as much of it as you can.
-------------------------------------
May 11: (1) Do
WileyPLUS assignment "6.6" by 10 am on Friday [extended until 1
pm on Sunday].
(2) Problems from the textbook to be handed
in:
Section 5.7 (page 316): #123
Section 6.6 (page 370): #109, 110bd, 111bd, 112bd, 113, 115, 120.
(3) Also to be handed in:
The table shows newspapers’ share of the expenditure of national
advertisers. Use the method from class to fit an exponential
function to the data, where y is the percentage share and x is the
number of years since 1950. Do not use the dates directly.
Use the number of years since 1950. Find the linear regression
line for the transformed data, the exponential regression function for
the original data, and the correlation coefficient.
Year
x y
1950 0 16.0
1960 10 10.8
1970 20 8.0
1980 30 6.7
1990 40 5.8
1992 42 5.0
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May 14: (1) Do
WileyPLUS assignment "8.2+8.3" by 10 am on Monday.
(2) Problems from the textbook (not to be handed in): page 519 #67ad,
71ad
(3) Also, do:
1. Solve by completing the square:
(a) x^2 + 6x + 8 = 1
(b) 3x^2 + 6x - 2 = 0
(c) 2x^2 – 3x - 20 = 0
2. Identify the number of x-intercepts of the following
functions:
(a) y = 3x+6
(b) y = (x+4)(x-1)
(c) y= (x+5)(x-3)(2x+5)
(4) Email me by 9 am,
Monday, at least one mathematical question about course material --
something you
want to understand better. It can be an individual
exercise, or it can be a more general mathematical
question.
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Exam
week office hours:
Tuesday,
3 - 4:15 pm
Thursday,
1- 2:30 pm
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May
18: Final Exam, 2- 4 pm in S312
Last updated at 8 pm on Sunday, May 13.