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.

Go over questions. Andrew Wiles' work. Discuss mathematical breakthroughs and revolutions.

Review.

Search for information on the mathematician David Blackwell

Andrew Wiles and

Stock and What is Mathematics lab activities.

If time remains before we come back together then work on hw for tomorrow.

Impossibility of checking all the cases, but finding a solution by shifting our viewpoint or finding a non-constructivist approach (Andrew Wiles' research).

Class Statistics. Pants activity.

Statistics Detective Review

Discuss causations versus correlations Case Studies: College Success. Take questions on the test. If time remains, Predicting height and solving a crime.

Can we predict the future?.

Purchase your Stock.

Search for information on the presidential election between Bush and Gore.

Return to the classroom: Media representations:

Review elections including Landon and Roosevelt, Bush and Obama, and Buchanan and Gore. Analyze and critique and discuss what we would like to back them up.

Read and discuss the

3.4 #11.

Discuss the interactive regression. Review median, mean and boxplots via the average of Nielsen ratings.

Can we predict the future?

Representations of Data

If time remains before we come back together, begin working on Project 3

Go over the lab.

Go over the

Clicker questions. Discuss the contradictory perspectives in the youth vote, how to "lie" with statistis and relevant page numbers in

Discuss the measures of centers homework and share from

Nielsen Ratings and advertising spins. GE experiment as a clicker question.

Discuss the Statistics of Nature

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

Discuss bar chart of volume of stocks from lab including how you can tell whether the mean will be above or below the median using the idea of a scale balance. Distance from home bar chart. Armspan bar chart. Height box plots.

Worst graph intro, worst graphs cover. Histogram of the ASULearn random number from 1 to 10. experiment and Excel analyses, including expected value of 5.2 from SUM(B2:B11)/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?) Discuss whether the human mind can provide a random number. Discuss sampling versus census. Discuss mathematical proof versus statistical significance and randomness.

Stock Graph and ASULearn anonymous data collection.

If you are finished before we come back together then continue studying for tomorrow's test.

Answer questions on the study guide, ASULearn activities and go over the homework.

Condo and Car Purchases: Decisions, Decisions.

If you are finished before we come back together then work on homework for tomorrow.

Discuss local debt. Discuss debt in NC, the US, and the world. Richard Feynman quotation:

http://finance.yahoo.com/lookup for stocks with certain names

or www.google.com for

"stock symbol" "COMPANY NAME"

where COMPANY NAME is the name of the company that you are interested in.

Invoice MSRP New Car Blue Book Value

Base Price $18,123.00 $18,995.00 $19,592.00

Destination Charge 695.00 695.00 Incl.

Write down the pricing info for your car, as well as the info for your car - make, model, year.

Condo Lab

Jane and Joan on ASULearn.

Ben Franklin's Will - Part 1

If finished before we come back together, begin reading Projet 2.

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.

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? Discuss other possibilities for unknowns - 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.

Finish the Universe lab

Work on Jeff Weeks worksheet as a review.

Portal.

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

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

Plimpton Cuneiform 322 and interpreting data

Usury is Piracy

Quotes on taxation. Local to global taxes. Discuss 142 years compounding monthly versus annually.

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.

Universe lab

If time remains then take a try of the ASULearn practice quiz.

If you are waiting for us before we come back together, then begin working on homework for tomorrow.

Watch an excerpt from

Go over the lab.

Use tape to make an equator. Begin going over Project 1.

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.

Clicker questions. PacMan sequence from

What does our universe look like, how do we know, and how do we represent it? 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. 2-D creature movements of the caterpillar turning into a 3-D movement butterfly. Davide Cervone's Cube Projections.

Lab work:

2D Universes Lab

3) Are

Where is North? Register the i-clicker. Review Euclidean geometry including angle sum and the Pythagorean theorem.

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.

Hyperbolic worksheet.

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. If time remains, discuss homework for tomorrow and project 1.

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

Advice from last semester. Julian Beever's pavement drawings:

Butterfly

Globe wrong view

Globe correct view

Accident

Lab work:

1) Perspective Activities

2) ASULearn Mathematical Experiences Reflection

3) Are

If time remains before we come back together, then work on homework for tomorrow. Review the activities.