The following is NOT HOMEWORK unless you miss part or all of the class. See the Main Class Calendar for ALL homework and due dates.

Andrew Wiles and

Purchase your stock

Statistics Detective Lab

Take questions on the study guide or ASULearn review.

Predicting height and solving a crime

Case studies: College Success

Discuss mathematical breakthroughs and revolutions.

David Blackwell.

Interpret the negative slope of the best fit line in this context.

a) As the policeman has more experience he gives out more tickets

b) As the policeman has more experience he gives out less tickets

The r

a) There is a typo in the book - the actual r

b) The mathematics of the r

c) Other

Discuss the interactive regression.

Discuss the lab: Can We Predict the Future? Stocks, Class Data, and Raw Egg Regressions

In the egg bungee experiment the similarity of the rubber bands led to an almost constant slope for the change in distance dropped / change in rubber bands.

a) Agree

b) Disagree

If your stock market r

a) Yes

b) No

As a researcher, was it ethical to remove the points that I eliminated and keep the remaining points?

a) Yes

b) No

Discuss correlations versus causations

Continue looking at succeeding in mathematics:

Circle an A.

Elections:

With regard to the 1936 Landon and Roosevelt election

a) The sample size was not large enough

b) The sample size was not diverse enough

c) Landon should have won - Roosevelt's win was due to a last minute change in sentiment

With regard to the 2008 election between McCain and Obama, which of the following are true

1. Both articles claimed that younger voters were essential in North Carolina.

2. The exit poll data may not be representative.

3. The authors disagreed about the impact of young voters in Florida and Ohio.

a) Only 1

b) Only 2

c) Only 3

d) Only two of the three statements are true

e) All three of the statements are true

2000 election between Bush and Gore

Media Representations:

Discuss

How many different items were you able to find in the books that related

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

3.4 #11.

Look at succeeding in mathematics:

Discuss the homework readings.

a) lost money

b) gained money

c) stayed about the same

Nielsen ratings.

a) ABC

b) CBS

c) NBC

Nielsen ratings using a scale balancing idea for CBS (the middle graph).

a) Mean is higher than the median

b) Mean is lower than the median

c) Mean equals the median

Go over the hw readings.

Music choices and compatibility issues (measuring "difference" in music tastes via looking at vertical distance between points) music 1, music 2.

Discuss the measures of centers homework and share from

a) mean

b) median

c) mode

GE experiment

Review boxplots

Search google news for "box plot"

Search google scholar for "box plot" and boxplot

Google images for boxplot

Boxplot and baseball

Worst graph intro, worst graphs cover. Histogram of the ASULearn random number from 1 to 10. experiment and Excel analyses. Discuss whether the human mind can provide a random number. Discuss sampling versus census. Discuss mathematical proof versus statistical significance and randomness. Discuss the expected value (sum/10) and briefly mention the chi test [(B2-C2)^2/C2, CHITEST(B2:B11,C2:C11)] and p-value (are the observations statistically significant or can the differences be ascribed to random variations of chance?)

a) lump sum

b) periodic payment

c) loan payment

d) combination

e) other

If time remains then begin the statistics of nature

Begin the stock market: stock graph.

Take questions and review:

- lump sum
- periodic payment
- loan payment
- total interest earned for lump and periodic
- total interest paid for loan
- month 1 interest paid for lump and periodic
- month 1 interest paid for loan
- First row of an amortization table for a car
- Total paid when there is a negative balance the last month
- Benjamin Franklin
- Joan invested for 10 years but then went on vacations
- Thrifty Savers account: $100 invested, earn an extra nickel with 2.3% instead of 2.5%
- month 1 interest on a credit card
- finance charge on a credit card

Go over the condo/car lab part 1 from Monday: 1, 4, 7, and 9-13 via the clickers.

Discuss local debt. Discuss debt in NC, the US, and the world.

Richard Feynman quotation:

Student loan statement. Payday lender in Boone: What is the annual rate?

a) 17.5%

b) 24%

c) 117.5%

d) 455%

e) none of the above

Credit cards and finance charges. If time remains, then work on homework for Thursday on reviewing formulas and beginning to collect information for project 4.

- Take out your formula sheet and calculator
- Take the Car Loan Practice Problem on ASULearn. Keep track of your calculations on a sheet of paper (if you scroll over an answer box after you submit it, you will receive feedback and hints, and you can resubmit the correct answers online).
- Condo and Car Purchases: Decisions, Decisions (Part 1) lab
- Take a look at hw for tomorrow from the calendar page

Philosophy of loans

Student loan statement.

Continue lottery questions. Discuss real-life rates. Search google news for lottery winner lump. Picture of Excel work, Excel work file. Picture of Excel solutions, Excel solution file.

Benjamin Franklin's Will - News Article Web Readings

What about $100 deposited every month into an account for 25 years, compounded monthly at 5%? Work towards periodic payment understanding and compare the philosophy to the lump sum formula derivation and to Jeff Weeks.

Transparencies from class If time remains, then begin the lottery questions. Search google news for lottery winner lump.

History and ethics of charging interest for the use of land, animals, money.

Plimpton Cuneiform 322 and interpreting data

Usury is Piracy

Go over the lab.

Quotes on taxation. Local to global taxes.

Discuss other possibilities for unknowns in lump sum - the time length, the rate, or the number of times compounding per year. Intro to Goal Seek and Solver in Excel via Lisa's Thrifty Savers savings account from Bart the Fink.

Begin finance. Charlie Rose - An exclusive conversation with Warren Buffett [first 54 seconds and then from 3:30-5:18].

http://video.google.com/googleplayer.swf?docid=4537231419795681197 Discuss 142 years compounding monthly versus annually.

Lump sum philosophy.

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?

(a) 1000(1+.08)

(b) 1000(1+.08/8)

(c) 1000(1+.08/12)

(d) 1000(1+.08/12)

(e) none of the above

What did the bank really mean?

History and ethics of charging interest for the use of land, animals, money.

Portal.

The Shape of Space Video - this 11-minute animated video produced by The Geometry Center introduces the two-dimensional space of flatland, looks at possible shapes for flatland from the perspective of three dimensions, and represents those shapes of space in two dimensions. Then the animation uses the same kind of representation to look at possible shapes for three-dimensional space. Viewers are taken on a ride across the boundless three-dimensional surface of a three-torus and a four-dimensional Klein bottle. As viewers see these imaginary universes from inside the spaceship, they experience the illusion of seeing copies of the universes.

Begin second video:

Selections cut from PBS Life by the Numbers: Seeing is Believing Video: 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: Viewers see how mathematics has become a tool to explore the heavens as the cosmos is charted. Class concentrates on what our universe looks like, how we know, and how we represent it. Discuss the video.

In the Poincare disc computer model of hyperbolic geometry, which is like Escher's

a) The Pythagorean theorem holds

b) They Pythagorean theorem fails since a

c) They Pythagorean theorem fails since a

d) The Pythagorean theorem is sometimes satisfied but other times violated

e) There is no way to determine whether it holds

In the weeks to come, we will see that there are many real-life applications of hyperbolic geometry, such as models of the internet that hope to reduce the load on routers, building crystal structures to store more hydrogen or absorb more toxic metals, mapping the brain, mapping the universe, and modeling Mercury's orbit.

Discuss physical models of small pieces of hyperbolic space. Crochet model of hyperbolic geometry Reef Crochet reef.

PacMan sequence from

Watch an excerpt from

Discuss what a 2-D creature would see if an orange passed through the plane of existence, including 2-D creature movements of the caterpillar turning into a 3-D movement butterfly,

Highlight some books from my office that are useful for the project.

Sphere questions:

Experiencing Geometry by Henderson

Geometry Theorems and Constructions by Berele and Goldman

The Heart of Mathematics by Burger and Starbird

Symmetry, Shape and Space by Kinsey and Moore

Universe questions:

Beyond the Third Dimension by Banchoff

Exploring the Shape of Space by Weeks

Geometry, Relativity and the Fourth Dimension by Rucker

The Heart of Mathematics by Burger and Starbird

Hyperspace by Kaku

The Math Book by Pickover

Shape of Space by Weeks

Symmetry, Shape and Space by Kinsey and Moore

Escher's space and Poincare's disk model of hyperbolic geometry.

Escher drawing

Sphere with Angels and Devils, 1942. Sphere Surface with Fish. 1958

Discuss a computer model of Escher's space called hyperbolic geometry.

discuss local (close to Euclidean geometry) to global (geometry is very different) perspectives

Quotes from Escher on how he does mathematics and where it comes from. Discuss whether mathematics arises from nature or whether we impose our mathematical discoveries onto nature.

Go over the lab.

Take out notes from homework.

Perspective lab activities

Take the ASULearn Mathematical Experiences reflection

Are

http://www.youtube.com/watch?v=TKQ8Ilr6PgU

Where is North? What does a space look like, how do we know, and how do we represent it... M.C. Escher and the mathematical clues he left in his work: Sun and Moon. Worksheet on Escher. (number 2). Quotes from Escher on how he does mathematics and where it comes from. Discuss whether mathematics arises from nature or whether we impose our mathematical discoveries onto nature. If time remains, go over ASULearn messages, and discuss project 1.

Butterfly

Globe wrong view

Globe correct view

Accident

Think of your favorite cartoon. Is it 2-dimensional or 3-dimensional?

Advice from last semester.