Dr. Sarah's Math 1010 Class Highlights
Dr. Sarah's Math 1010 Class Highlights Fall 2003 Page
The following is NOT HOMEWORK unless you miss part or all of the class.
See the Main Class Web Page
for ALL homework and due dates.
Mon Apr 26 Review Lab
Tues Apr 27
Go over selections from lab. Go over credit card statement, payday
offer, real-life rates, and ways to build good credit.
Discuss final study guide and take questions.
Mon Apr 19 Condo Lab
Tues Apr 20
Go over 1) If I can afford to save $100 per month for a $50,000 car,
in an account compounding monthly at 8%, then how long will it take for me
to save up? Set up the formula for the problem but do not solve. If I
told you that the answer was approximately 18.38 years would that make
sense? Show work to explain why. 2)What will my monthly payment be if I
take out a car loan at 8% compounded monthly for $50,000 for 18.38 years?
3) Use the Sept 2000 interest rate of 8.25% compounded monthly for the
105265 condo with a loan of 80%. What is the monthly payment? What is the 1st
months interest? What is the total interest over the life of the loan?
Compare to chart on condo lab.
Finish Dr. Sarah's condo part 2.
If time remains then look at the credit card statement and figure out
where the numbers came from.
Thur Apr 22
Take attendance, collect labs, and hand back Tuesday's homework.
work on How Do You Know p. 92-94 numbers 9, 14, 21 and 24, and p. 103 number 8
and then call students up to the board to present the problems.
Go over credit card offers. Students can then work on
the Ben Franklin lab or WebCT quizzes in 203 or 205(free at 2:50).
Thur Apr 15
Loan payment formula.
Student loan statements.
Begin condo lab.
If time remains, work on homework for Tuesday.
Mon Apr 5
cuneiform babylonian interest
origins of banking
origins of banking
usury interest Babylonian
Usury is Piracy
Lisa's Thrifty Savers savings account from
Bart the Fink.
Ben Franklin's Will - Part 1
and WebCT quiz 8.
If time remains then work on reading for tomorrow,
finish up the "Worth More's," or begin
searching for real-life rates (see main web page).
Tues Apr 6
Review lump sum formula and the philosophy we used to come up with it
and review how much we will end up with if
$100 is deposited into an account and left alone for 25 years,
compounded monthly at 5%.
Compare to $100 deposited every month into an account and left
alone for 25 years, compounded monthly at 5%.
Work towards the periodic payment formula and compare the philosophy
to the lump sum formula derivation.
Transparencies from class
$100 is deposited each month for 12 years into an account compounding
5% monthly. How much do we end up with?
We'll do an exercise to show that the number of digits we use does matter!
100 is deposited each month for 12 years
into an account compounding 5% monthly. What do we have at the end?
The interest rate is .05/12=.004166666... Each
group of 3
used a different number of digits and rounding versus truncation methods
(ie .004,.0041, .0042,.00416, .00417,.004166, .004167, .0041666, .0041667
). The group helped each other with their calculators and made sure that
they all came up with the same answer.
We compared the final answers to show that we should never round
until the final answer. If time remains then work on
problems and then
Jane and Joan.
Thur Apr 8
Go over $37 problems. Go over
Jane and Joan extra credit (excel sheet)
by using goal seek to discuss
what interest rate would result in equal savings for them both.
Do problems by hand and/or
Picture of Excel work,
Excel work file,
Picture of Excel solutions,
Excel solution file.
Go over main class web page and Ben Franklin writing project.
Highlight the Dec 2002 $315 Powerball winner in Hurricane, West
Virginia who had a choice of 30 annual payments or one
lump sum payment of $170.5 million.
Mon Mar 29
Take questions. Sat Scores.
of the Big Bang. WebCT boxplot problems.
If time remains, work on homework for tomorrow or Thursday.
Tues Mar 30
Begin lump sum formula via compounding annually. Then compounding quarterly, and then the general lum sum formula. Compounding monthly. Real-life bank situation. Past student was told that her c.d. will be compounded monthly at 8% for 8 months, and is told that this 8% will apply each and every month. Let's say that she put in $1000. How much would her c.d. be worth at the end of 8 months if
-the bank will compound 8% each and every month (ie 96% per year!)
-the bank means that 8% is the annual rate.
Which did the bank really mean?
Then review for the stats test.
Thur Apr 1 Test 3.
Mon Mar 22
If time remains, work on "Worth More's" or homework for tomorrow
or Thursday (see main web page) such as the Heart of Math reading
or WebCT quizzes.
Tues Mar 23
Review literary digest poll on Roosevelt/Landon election from 1937. Discuss
linear regressions of Buchanon votes in Palm Beach and the butterfly ballot
and highlight the problems with making predictions far away from your data.
Discuss HIV testing issues and unintended consequences of medical and
policy decisions such as testing everyone in the US for HIV
Thur Mar 25
Continue unintended consequences via
raising airline prices as in the heart of math reading.
Talk about Does SAT score predict college GPA? Discuss the fact that more than a dozen studies of large student groups and specific institutions such as MIT, Rutgers and Princeton conclude that young women typically earn the same or higher grades as their male counterparts in math and other college courses despite having SAT-Math scores 30-50 points lower, on average. Discuss gender and multicultural issues on test taking, and discuss stereotype vulnerability via students reading selections from FairTest Examiner Stereotypes Lower Test Scores, and Claude Steele has Scores to Settle. In groups of 2 or 3: Discuss situations where text anxiety or performance anxiety have hindered you. Discuss whether you or someone you know have ever experienced something similar to stereotype vulnerability as part of some kind of group (for example, gender, race, math phobic, "good" or "bad" student...) where external expectations from someone else (teacher, society, parents, friends... ) affected your performance in one way or another. Groups share their experiences with the class. Relate to MRT test. Discuss things we would like to see to back up the articles.
Discuss how tv guide misrepresented stats for their advertising purposes.
Take questions on the Statistics Test Study Guide
and take questions on the WebCT quiz questions and the mean, median, mode
Mon Mar 15
Collect hw. Go over
distance from home bar chart
and height bar chart, including
how you can tell whether the mean will be above or below the mean.
Discuss standard deviation (distance from home, height, untimed MRT).
Excel credit card checker.
Mean, Median and Mode Lab
Tues Mar 16
Review bar charts and standard deviation via a bar chart of armspan
containing mismeasurements, and discuss what happens when they are removed.
Relate the idea of a scale balancing to the circle sampling hw limits.
from home with a class size of 50 and then 100), pie charts (class year),
"bad" graphs. Intro to Boxplots via a boxplot of height separated by gender,
and the meaning of boxplots.
Boxplot of distance from home and of height separated by gender that
includes outliers (ie how the boxplot changes when the outlier is removed).
Thur Mar 18
Discuss does Volume predict High in stock market.
Music choices and compatibility issues (measuring "difference"
in music tastes via looking at vertical distance between points)
Begin linear regression via p. 211 # 11
by hand and compare to Excel work.
Discuss the actual predictor value, the estimated predictor values from a
graph or via a line fit by eye, and related issues.
Heart of Math Interactive Histogram.
Linear Regression worksheet.
Mon Mar 1
Tues Mar 2
Look at summary of readings, review survey method guaranteeing complete anonymity from Heart of Math, use this method on an embarrasing but interesting survey question, and then we analyze the survey results. Perform the same survey method on a non-embarrasing question.
Discuss the difference between a census and a survey. Then use the table of random digits to pick people from the class.
Review What is a Mathematician? segment via the segment themes
as they relate to the entire group of mathematicians.
If time remains, then
work on circle sampling problem.
Thur Mar 4
Work on circle sampling problem.
Work on Modular Arithmetic and Check Digit
Mon Feb 23
Collect worksheets. Finish going over Ramanujan and his mathematics.
Presentations and Worksheets on Paul Erdos and David Blackwell.
Finish RSA Coding activities.
Tues Feb 24
Collect worksheets. Presentations and Worksheets on
Mary Ellen Rudin, Frank Morgan, and Ingrid Daubechies.
Thur Feb 26 University cancelled classes due to snow.
Mon Feb 16 Presentations and Worksheets on Thomas Fuller and
Dodge Ball and turn this in
when you are finished.
Search the web for more information on AWM (Association for
Women in Mathematics) and Carolyn Gordon's position within this
organization. Answer this on a piece of paper.
Question 2: Review
Fifty-Five Culteral Reasons Why Too Few Women Win at Mathematics
and relate both this and the statistics on women and minorities in
mathematics from class on Tuesday to what we've learned about
Carolyn Gordon and
Dr. Sarah -
how have they overcome barriers (discuss some specifics in each of their
experiences) related to being a woman
in mathematics in order to become successful mathematicians?
Answer this on a piece of paper to turn in.
If time remains, then
complete the mathematician worksheets or
web readings from the main web page.
Tues Feb 17
Collect worksheets. Presentations and Worksheets on Carl Friedrich Gauss and Sophie Germain.
Finish Sophie Germain via
RSA on the internet via Bank of America's website,
RSA Coding Continued,
Decode the Message, and
then search the web to find the meaning of the last word.
Thur Feb 19
Collect hw. Presentations and worksheets on Georg Cantor and
Mon Feb 9
Review mathematician resources.
Each group practices putting a picture into powerpoint by
finding a picture of their mathematician
web page references.
The Pythagorean Theorem and Fermat's
Sleep the computers.
If time remains, then work on mathematician project.
Tues Feb 10
Discuss the fact that in "The Proof" video, we saw very few women, and only heard about one woman working on the problem, and we saw no African Americans. Statistics on women and underrepresented minorities in mathematics.
Worksheet on Andrew Wiles
Thur Feb 12
Discuss the concept of proof and possible answers to the related questions
on the Andrew Wiles worksheet.
Carolyn Gordon and
Hearing the Shape of a Drum.
Work on the worksheet on
Mon Feb 2
Shape of our Universe Lab
and worksheet due at the
end of lab. If time remains, then work on WebCT quizzes and see
the main web page for study suggestions for Thursday's test.
Tues Feb 3
Jeff Weeks as a mathematician.
Brief intro to my own
research and how it fits into these ideas, and my
mathematical style via powerpoint
presentation (model for mathematician project).
Review the 4th physical dimension and its applications,
via excerpts from
Davide Cervone's Selected Course Notes
Why the universe is not thought to be a hypercube,
and some of the shapes
that might be the shape of the universe:
10 Euclidean possibilities, including Escher's "Another World"
and the Futurama video reference to
Escher's 1953 "Relativity" when Fry and Bender look for an apartment.
a number of
the infinite but known spherical possibilities
via Davide Cervone's Spheres Sliced in 2D and 3D and
excerpts from Week's paper on Topological Lensing in Spherical Spaces
page 12, and
the relationship to the
current mathematical attempts to classify the
hyperbolic possibilities, including the
current attempts to determine the shape of the universe.
Thur Feb 5
Test on Geometry of our Earth and Universe.
Work on mathematician project (laptops are available) by looking at
paper and web references
Discuss logistics and
PowerPoint features for presentations
Mon Jan 26 Go over models of hyperbolic geometry.
Go over the last part of the homework
pre-readings. Take questions on the
Computer Information Sheet.
Take first try of WebCT quiz
using the WebCT Quizzes Sheet.
If time remains, then work on the
Tues Jan 27 Collect geometry reports and begin going over answers
to the geometry of the earth questions (up through question 7).
Mon Jan 19 MLKJ Holiday
Tues Jan 20
Take questions on homework readings and collect
the short essay. Discuss success in class.
Discuss the difference between an A and B in terms of explanations.
Go over answers to
Are The Simpsons 2-D or 3-D?
Handout geometry of our earth and universe assignment.
Class reads through the handout. Students form groups of 2 and
exchange email and phone number info.
Groups choose a problem (highlight fair division issues and let the
students decide how to divide up problems which numerous groups want).
Finish video from Thursday and discuss.
Thur Jan 22
Introduction to Hyperbolic
Take out geometry report and discuss the answers to some of the problems
for hyperbolic geometry using Sketchpad.
Sketchpad Problem 1 and 2
Problem 1 and 2 Image,
Sketchpad Problem 3
Problem 3 Image
Sketchpad Problem 4
Sketchpad Problem 5
Sketchpad Problem 7
Review web searching.
On google.com, use Sarah Greenwald (many are different people). Then use the "-" feature to get rid of some of the unrelated pages. Compare with "Sarah Greenwald" (missing pages which have my middle initial or name in between, and there are still other people), Sarah Greenwald geometry, "Dr. Sarah" Greenwald, and Sarah Greenwald math* (allows for pages with mathematics or math in them) searches. (Finished here). On ebay.com, use an advanced search to search for simpson* birthday and contrast with simpson* birthday -tomy -o.j. -jessica -cd -dvd -vhs -games Search for simpsons birthday cards on ebay and google.
Mon Jan 12
Brief intro to the course, web pages, WebCT, and attendance policy.
Begin geometry of our earth and universe by discussing how we see our world.
(Perspective Drawing, Are The Simpsons 2-D or 3-D?, WebCT Survey)
Main Web Page
Dr. Sarah's Office Hours
Syllabus and Grading Policies
Dr. Sarah's Computer Information
Are The Simpsons 2-D or 3-D?
Selections from Readings and
Activities on Perspective Drawing and Projective Geometry
Tues Jan 13
Review course webpages and summarize lab activities.
Continue the topic of how we see our world.
Review projective geometry, Simpsons 2-D or 3-D.
Discuss "How could we tell that the earth is round instead of flat without
using any technology (ie if we were ancient Greeks)"?
Make a list of ideas on the board (part of web readings hw for Tuesday).
Intro to Mercator maps and Escher.
Worksheet on Escher.
3-D Homer equation.
Thur Jan 15
Life by the Numbers
Selections cut from
PBS Life by the Numbers
Seeing is Believing Video (20 minutes):
The first special effects ever created in
Renaissance paintings also owe their existence to mathematics and
spurred on the industrial revolution.
Modern artists and mathematicians are trying to grapple with
the 4th physical dimension.
Mathematics helps define space and
helps present visions of our world to us.
Tom Banchoff as a mathematician.
Shape of the World video:
Hundreds of years before Columbus set sail, the Greeks used mathematics to determine the size
and shape of the planet. Viewers see how mathematics has become a tool to explore the earth
and the heavens as the world and the cosmos is charted.
(45 minutes - stop at Jeff Weeks segment since we watched this part in lab.)