Dr. Sarah's Math 1010 Class Highlights
### Dr. Sarah's Math 1010 Overnight Assignments
and Class Highlights Fall 2001 Page

See the Main Class Web Page
for ALL due dates

### Geometry of the Earth and Universe

**Mon 12/3**
We will work on a review lab
which is due at the end of the class.
**Tues 12/4**
Review parts of the review lab, class evaluations, review sheet
for final.

**Mon 11/26** Collect summary on Heart of Math reading.
We will work on WebCt quiz 7,
the shape of the universe lab,
and do stock update number 3.
**Tues 11/27** Seeing is Believing Video (notes collected
at the end), and the 4th dimension continued. Why time isn't
the fourth dimension, and useful applications of the 4th dimension
(business and diabetes).
**Thur 11/29** Review the 4th dimension,
euclidean, hyperbolic and spherical geometry and the hypercube.
Explore why the universe is not thought to be a hypercube.
Explore some of the shapes that might be the shape of the universe
(10 Euclidean possibilities, a number of spherical possibilities,
and current matheamtical attempts to classify the hyperbolic possibilities).
Dr. Sarah's research and how it fits into these ideas.

**Mon 11/19** We will
work on Spheres and GPS - How it Works,
Homer part 2 (due in lab) and
WebCT quiz 6 total on the
What is a Mathematician segment (study these questions and the trends
and statistics that we discussed).
**Tues 11/20** Life by the Numbers Shape of the World Video
(notes are collected at the end).
Creating new spaces from old - cylinder, mobius band, donut,
Klein bottle, and a cube with opposite sides identified.
**Thur 11/22**Thanksgiving Break.

**Mon 11/12** Summarize the
What is a Mathematician segment
via IDS viewpoint.
Work on
perspective drawing and Homer part 1 lab.
If time remains, then you may work on the geometry report.
**Tues 11/13** Collect geometry report. Start going over
the problems.
**Thur 11/15** Review geom problems 1-6,
Mercator Map,
Sun and Moon by M.C.Escher (1948),
Circle Limit 4 -- (Heaven and Hell) by M.C.Escher (1960)
Finish geom problems.

### What is a Mathematician?

**Monday 11/5** In lab, we will work
on "Dodge Ball".
You will discover a winning strategy
for player 2, and will write this up before we start presentations.
Your lab grade will be based on the clarity, depth and correctness of
your winning strategy (1 per group of 2).
Then,
presentations and worksheets on George Cantor and Ramanujan.
**Tuesday 11/6** Presentations and worksheets on Paul Erdos and David
Blackwell
**Thur 11/8**
Presentations and worksheets on Mary Ellen Rudin, Frank Morgan and
Ingrid Daubechies

**Mon 10/29** Collect hw.
In lab we will begin the
geometry of the earth and universe segment,
take WebCT quiz 5 total on Andrew Wiles and Carolyn
Gordon and their mathematics
(your grade is the highest of the (up to) 5 times
that you take this quiz before Nov 19), and work on a
MathSciNet search
(only works from school) for modern mathematicians,
and other searches for
papers by your mathematician.
If time remains, you may work on the mathematician project or the
geometry report.
**Tues 10/30**Presentations and worksheets on Agnesi and Fuller.
**Thur 11/1**Presentations and worksheets on Germain and Gauss.

**Monday 10/22**
In lab, we will go over
Microsoft PowerPoint features for your presentations,
and learn about
Andrew Wiles and Fermat's Last Theorem.
If time remains, you can work on the What is a Mathematician? segment.
**Tues 10/23** Go over logistics for What is a Mathematician?
worksheet and presentation. Andrew Wiles worksheet on the mathematics.
**Thur 10/25**
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.
Briefly talk about Carolyn Gordon and Can you Hear the Shape of a Drum?
Work on Carolyn Gordon worksheet.
If time remains, you can work on the What is a Mathematician? segment.

### Statistics

**Monday 10/15**
In lab we will go over an interactive linear regression applet,
work on the 2nd major writing assignment,
being a statistics detective.
Begin the What is a Mathematician segment, by
assigning topics and presentation dates.
**Tuesday 10/16**
Statistics Test
**Thursday 10/18** Fall Break

**Monday 10/8**Collect hw, go over linear regression on excel via
How Do You Know p. 209 number 11,
how to use the equation of the line to make predictions, and
highlight situations where the prediction makes sense versus those that
don't (armspan as a predictor of height,
p. 209 number 11 prediction for 15 hours and 100 hours, and stocks).
Lab directions,
Linear regression lab,
Egg bungee jump lab, then WebCT quiz 4.
**Tuesday 10/9**
Do linear regression by hand via p. 208 number 11 and compare to Excel
work.
Discuss actual predictor value,
estimated predictor values from a graph or via a line fit by eye,
and related issues
such as the fact that if someone had 10 absences in our class
then they wouldn't even be taking the midterm!
Review questions 8, 9 and 10 on WebCT quiz 4, on boxplots.
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
**Thursday 10/11** Collect hw, discuss HIV testing issues,
and unintented consequences via heart of math reading.
Discuss linear regressions of Buchanan votes in Palm Beach.
Review for test via WebCT quiz 4.

**Monday 10/1**
In lab, we will work on modular arithmetic
, Mean, Median and Mode lab,
and stock market update #2. HOMEWORK - see main class web page
**Tuesday 10/2**
Continue to use the class data to discuss
bar charts, and how you can tell whether the mean will be above or
below the mean, standard deviation, histograms, pie charts,
and then talk about "bad" graphs. HOMEWORK - see main class web page
**Thursday 10/4**
Continue various graphical representations - changing the scale of axes,
boxplots, and begin linear regressions. HW - see main class web page.

**Monday 9/24**
In lab, we will work on
Lab Directions - Collecting
Data,
Class Data Collection Sheet,
reading - intro to the market,
stock market update #1,
quantitative literacy,
and the pineapple part of the lab.
*****Homework See main web page**
**Tuesday, 9/25** Collect real life rates. Go over
credit card statement, payday lending offer, credit card offers,
real-life rates. Discuss biases related to the census of
class data. Review pineapple material. Begin sampling. Use
the table of random digits to choose a sample of students from our class.

*****Homework See main web page**
**Thursday, 9/27**
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, students look at golden mean poster,
and then we analyze the survey results.
Review the difference between a census and
a survey. Then use the table of random digits to pick people from the class.
Students work on the circle sampling
problem from How Do You Know.

*****Homework See main web page**

### Financial Mathematics

**Monday 9/17** Go over no late policies and grading policies from
the syllabus (there is the exception of one late lab allowed, and the
lowest lab and quiz will also be dropped).
Students take out Stock intro hw that is due
, and use it:
In lab we will work on Homer's Taxes,
Stock Part 1, and if time remains,
reading - intro to the market

*****Homework** See main web page for longer term hw,
review for test on Thursday, and bring the printed WebCT quiz 2
(that I gave you last week) to class on Tuesday along with your
book and calculator.
**Tues 9/18** In class we will work on
p. 90-92 9 and 14 and p. 101 number 8, review parts of the
condo lab, Ben Franklin, and WebCt quiz 2. If time remains,
students can review for Thursday's test or finish up the Homer tax lab.

*****Homework** WebCT **quiz 2 retakes due Wed night**, study for
test.
**Thursday, 9/20** Test on finance,
review sheet

*****Homework** See main class web page.

**Monday 9/10** Collect Homework from Thursday,
WebCT quiz 2, Dr. Sarah's
Condo Part 2 One per group of 2 (I will photocopy your work for the
second person). We only finished up thru the Car table (the last part
we needed Excel for).

*****Homework** Work on Ben F due Friday.
**Tues 9/11** Go over by hand problems from the HW collected
on Monday, look at the second by hand homework problem as a loan
payment problem - instead of saving up for the $50000 car, assume
that we found a car loan for 18.38 years at 8% compounded monthly. Then
what will our monthly payment be? Compare this to the
$100 savings per month option and discuss.
Finish Dr. Sarah's condo part 2 in class.
When finished, turn in (1 per group) part 1 and part 2.
Dr. Sarah will photocopy so that everyone in the group gets
one back. If finished before class ends, work on finance review sheet.

*****Homework** Ben F due Friday the 14th
,
stock market intro hw due Monday the 17th
(be sure also that you are comfortable using campus pipeline),
WebCt quiz 2 retakes due Wed the 19th, check newsgroup posting from
Dr. Sarah to the forum containing both of you about your 1010 performance,
study for Finance test Thur the 20th.
**Thur 9/13**
Analyze Dr. Sarah's student loan
statements, analyze past student Mark's student loan statement.
p.90-92 problems - students worked in groups and presented their
solutions to the class.

*****Homework for Friday 14th and Monday 17th**
See Tuesday's hw and the main web page.

**Monday 9/3** Labor Day vacation
**Tuesday 9/4**
Collect homework, review
web pages and web based problems, go over
Jane and Joan extra credit (excel sheet) - using goal seek to discuss
what interest rate would result in equal savings for them both.
Discuss the loan
payment formula for
Dr. Sarah's Condo
(costs $105,265, putting 20% down, at 6.75% compounded monthly)
as we go though as much of the condo part 1 sheet as time allows.

*****Homework Problems for Monday September 10
**
- Web based problems
** need to use Internet Explorer **,
Problem 2.3 #1,
Problem 2.3 #2,
Problem 2.3 #3
(slight error - the last box in the table should say 69930.86 not 23344.56).
- Finish the last part of Dr. Sarah's condo part 1 if we did not
finish in class.
- What would have happened if I had waited until today to buy
the condo? Assume that the price of the condo stayed the same
(which it wouldn't have!)
What is the monthly payment if we use today's
mortage rate of approximately 7.0%.
How much would I pay in total?
How much of that would be interest?
(I obtained this rate at
Bank of America Page by choosing Conventinal Fixed and looking at the
30 year rate.)
- If I can afford to save $100 per month for a $50000 car, in an
account compounding monthly at 8%, then how long will it take
for me to save up?
- See the main web page for suggestions for studying for WebCT quiz 2.
- Work on Ben F part 2

**Thursday 9/6** Convocation and assessment "vacation"

**Monday 8/27**Collect homework from Thursday.
Lab 2 Directions (Ben Franklin Part 1 and Jane and Joan).

*****Homework**WebCT quiz 1 retakes, Wile revisions and Ben Franklin Part 2.

**Tuesday 8/28**
Review formulas via sheet, go over questions,
How much do we need to invest now for Dr. Sarah to give her niece
100,000 at her niece's retirement?
Assume that she has found an account that will pay 6.5% interest,
compounded monthly.
We used algebra. How about if Dr. Sarah
will deposit a certain amount per month?
How much must she put in?
The problem
with this scheme is that Dr. Sarah will be making payment for the next
60ish years! Instead, let's say she can affort a monthly payment of $20.
How long will it take for the money to grow to 100,000?
We set up the problem and then did Guess and check.
Intro to Logs. Solve 5^time=25. Then solve:
How long will it take Dr. Sarah to save 100,000 for her niece
if she puts in $20/month at
6.5% interest, compounded monthly. We set up the problem
and then reduced to number^power=number, and then solved for the
exact answer using logs.

*****Homework Problems for Thursday August 30**
You Try It 2.8, 2.9 and 2.10 p. 85ish
(solutions are on page 306 so your job is
to try it on your own, compare with the answers, and write it up in your
own words), **Also**
Section 2.2 p. 90-91 problems 8 and 10-13.

**Thursday 8/30** Collect hw from Tuesday (you have until Friday
at 5pm to turn this in and I have extra office hours Friday 1-4).
Continue log problems.
How long does it take to tripple a lump sum
of $1000 at 6% compounded yearly?
How long does it take to tripple a lump sum
of $1000 at 6% compounded monthly?
When can we get our car if we put in $200 a month into a 6% compounded
monthly account if we need $22,000?
Dr. Sarah read about the 2001 Powerball lottery from usatoday.com.
It said "For the jackpot worth 295 million, if there is one winner, then
they will have a choice between 25 payments of 11.8 million each or
a single lump sum payment of 170 million". By doing a problem with
simpler numbers, we asked -- is it better to take lottery winnings
as a single lump sum payment of 10,000 dollars, or 12 annual installment
payments of 1500 dollars each. Assume that we will logically compare by
putting each into saving accounts compounding annually at 10%. How about
for 10.5%? How about for a general rate r%?
Students work on problems for 30 minutes, and then we go over them as a class.
Begin Dr. Sarah's Condo part 1.

*****Homework Problems for Tues September 4** p. 91 number 20, and
need Internet Explorer for
Problem 2.2 #8
Problem 2.2 #9,
Problem 2.2 #11,
Problem 2.2 #12 --
there is a slight error in this one - it should be later NOT sooner for the second part.
Recall from the main web page that Wile final draft is due Tuesday at 5pm
and that you must turn in your first draft along with the graded checklist too.

**Monday 8/20** Collect homework from Thursday.
Lab 1 Directions
**Homework** For Tuesday - read over the
review of lab 1 basics.
Web based problems for Thursday
** need to use Internet Explorer **
problem
1.2,
problem
1.5,
and problem
2.2 #1 periodic payment
Work on Wile due Fri, Quiz 1 retakes due next Mon.
**Tuesday 8/21** Hand back homework.
Go over web pages - main, class highlights, syllabus,
web based problems, WebCT (calendar, bulletin board, quizzes and retakes,
and grades), and campus pipeline.
Begin lump sum formula via
$20 in an interest bearing acount for 5 years,
compounding annually at 2%. How about compounding monthly?
If you win a lottery, is it better to take 10,000 now, or wait 12 years and
get 30,000 then
(assume that if we take the 10,000 now, then we won't spend any of
the money and instead will compound monthly at an interest rate of r%).
Each
group of 2 does
this for a different r ranging from 6% to 11.5%.
**Homework** For Thursday, p. 90 1 and 2, and web based problems (see
Monday). For Friday Wile draft. For Monday
read Math 1010 Creative Inquiry -
Lessons for Life, Ben Franklin lab,
read the message Dr. Sarah sent you, and then
post a 2nd message to Dr. Sarah in the forum (your name & Dr. Sarah),
and do WebCT retakes.
**Thursday 8/23** Collect homework,
Review lump sum formula.
Real Life Bank formula. 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.

The bank means 8% is the annual rate!
If $100 is deposited into an account and left alone
for 25 years, compounded monthly at 5%, how much do we have?
Compare to $100 deposited every month into an account and left alone
for 25 years, compounded monthly at 5%.
Read quote on Reading Mathematics from Burger and Starbird. Read p. 77.
Discuss periodic payment formula formulation, and the method of
finding the formula. Compare the different philosophies involved
in the lump sum and periodic payment formulations.
We'll do an exercise to show that the number of digits we use does
matter! 100 is deposited each month for 25 years into an account compounding
5% monthly. What do we have at
the end? The interest rate is .05/12=.004166666...
Each group used a different number of digits and rounding versus truncation
methods
(ie .004,.0041, .0042,.00416, .00417,.004166, .004167,
.0041666, .0041667, .00416666, .00416667)
and
we compared the final answers to show that we should **never round**.
**HW for Monday** See Tuesday's homework for Fri and Monday,
put in $37 each month for 2 years,
at 12.99% compounded monthly. Compare this with putting in
$37 and leaving it there for 2 years, at 12.99% compounded monthly.
Read pages 77-79 in the How do you Know? book.
Need Internet Explorer for Problem 2.2 #5 (this problem takes a while
to load - wait until you see the message "Applet Loaded")

**Thur 8/16** -
Fill out index sheet and survey. Intro to the course via
syllabus and policies and
section 2.1. Each group does a problem 2.1 5,6,7,9,10,12 to turn in
and present.
**HW for Mon 8/20** p. 69-71 # 1, 17, 20, (be prepared to turn this in),
start working on Wile E. Coyote assignment, and
study class notes, syllabus, hw problems, Wile E. assignment,
and read the "orange" poster on my door
for WebCT quiz 1 (no prior computer use is assumed and the grading policy
is extremely generous).
Bring a scientific calculator (with y^x, x^y, or ^)
and How Do You Know? book to classes. If you have used WebCT at ASU in the
past, remind yourself how to get into your account.
**Office Hours (326 Walker)**
Today 3:30-5, Fri 12-4, Mon 12-2, 4-6, Tues 12:30-2
(regular office hours will be posted next week).