Turn in project 4

Discuss the final research presentations

Discuss the themes from project 4

1. On the front board, mark off whether you gained or lost money by adding them to the relevant gain/loss columns.

2. Turn in homework.

3. On ASULearn take the Anonymous Advice for Next Semester survey.

4. If finished before we come back together, then work on the project for tomorrow on the calendar page.

We'll watch together: Liz Colman and Education

Discuss hw readings, Liz Colman and project 4

Discuss

David Blackwell

mathematical breakthroughs and revolutions

Andrew Wiles and

1. Purchase your stock

2. Statistics Detective Review

Take questions on test 3

statistics of nature

Discuss the Bradford-Hill_criteria

Predicting height and solving a crime

Case studies: College Success

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 r2 value was 99.9%, would you be assured to make money in the stock market by using the line to predict the future performance and investing accordingly?

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

Finish election issues: 2000 election between Bush and Gore and Pat Buchanan's impact in Florida

Continue looking at succeeding in mathematics:

Circle an A.

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

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

Discuss

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

GE experiment

In the hw reading on the unintended consequences of HIV testing the entire population in the

a) the large numbers of HIV negative people can have false positives and make what seems like an accurate test percentage-wise problematic

b) A positive result becomes relatively meaningless because one only has a small chance of actually having HIV

c) Testing the entire US population leads to the (unintented) problems

d) More than one, but not all of the above

e) a, b and c

Begin the 1969 Vietnam draft data, introduction to scatterplot, line of best fit, and boxplots via Starr

Discuss correlations versus causations on why birds fly south during colder weather

Regarding the themes of

Collecting and Presenting Data

Predictors

Boxplots

Unintended Consequences

discuss the hw readings in that context

How many different items were you able to find in the books that related to the 2 articles on the 2008 McCain and Obama election?

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

Which author did you find most credible?

a) The Straight-Ticket Youth Vote, by Patrick Ruffini

b) Young voters not essential to Obama triumph by Tom Curry

c) They were both equally credible

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 and Indiana.

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

With regard to the 1936 Landon and Roosevelt election Literary Digest poll, which predicted the winner as Landon

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

Go over the lab and iclicker question on all data and stock graph. Stock over all time that you sketched by hand on the lab:

a) lost money

b) gained money

c) stayed about the same

Over the time period of the stock graph, the highs:

a) lost money

b) gained money

c) stayed about the same

Worst graph intro, worst graphs cover.

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

Begin 3.4 #11.

Regarding the themes of

Collecting and Presenting Data

Predictors

Boxplots

Unintended Consequences

discuss the hw readings in that context

Typical waiting time at a doctor's office:

a) mean

b) median

c) mode

Hair color:

a) mean

b) median

c) mode

A realtor wants to advertise how inexpensive it is to live in an area:

a) mean

b) median

c) mode

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

Discuss the literature review/connection component of proj 3 as related to the themes of

Collecting and Presenting Data

Predictors

Boxplots

Unintended Consequences

Mention google news for "box plot" or boxplot, google scholar [any time since 2012], including connections to the social sciences, medicine and sports google images including the Michelson-Morley experiment 1887 led to the acceptance of special relativity...

Histogram of the ASULearn random number from 1 to 10 and unintended consequence of deductive knowledge seeming like magic [stock wiz reading too]

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?) Distance from home bar chart. Armspan bar chart. Height box plots.

1. Show my your hw and begin working on below:

2. Stock Graph

3. ASULearn anonymous data collection.

4. Work on hw for tomorrow if you are finished before we come back together

Review via clickers:

a) lump sum

b) periodic payment

c) loan payment

d) combination

e) other

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

Mention upcoming hw: Find the stock symbols of a few companies that are actively traded and that you are interested in "buying" - for example, you might search

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.

stock graph

statistics of nature

1. Condo and Car Purchases: Decisions, Decisions (Part 2)

2. Take a look at my message to you on ASULearn

3. Take a look at hw for tomorrow and ask me any questions before you leave

Student loan statement.

Credit cards and finance charges.

Discuss project 4. The people mentioned in the finance segment... Equations in this segment.

Begin the stock market: stock graph.

In the derivation of the loan formula, we used:

a) x/(x+1) = 1/(1+1/x)

b) the bank earns interest on the lump sum amount while we pay it back via the periodic payment formula so that our payments plus resulting interest equals the lump sum amount plus interest.

c) neither a) nor b)

d) both a) and b)

Student loan statement.

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

Richard Feynman quotation:

Payday lender in Boone: What is the annual rate?

a) 17.5%

b) 24%

c) 117.5%

d) 455%

e) none of the above

Student loan statement.

1. 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).

2. Condo and Car Purchases: Decisions, Decisions (Part 1)

Picture of Excel work, Excel work file. Picture of Excel solutions, Excel solution file.

Car loans.

Philosophy of loans

Student loan statement.

If time remains, begin Condo and Car Purchases: Decisions, Decisions (Part 1)

Jane and Joan on ASULearn - use your formula sheet and calculator to help you.

You can ask me questions on project 2 before you leave if you have any.

Look at the following statements:

1: Looked at the total for each compounding period

2: Looked at the future value of money

3: Found a common piece (1 + rate)

4: Multiplied by the common piece (1 + rate) to obtain a second, similar but shifted viewpoint equation, and then subtracted to significantly reduce the number of terms

5: Took a solution that originally had too many terms and reduced it to something manageable

In the derivation of the lump sum formula, we

a) All of the above

b)All but 4

c)All but 3

d)All but 2 and 4

e)All but 1 and 3

Begin the lottery questions. Search google news for lottery winner lump.

Picture of Excel work, Excel work file. Picture of Excel solutions, Excel solution file.

a) The earned rate of a fund is the same as the rate that is charged to borrow the money in the fund.

b) To find the earned rate of a fund, we can calculate a weighted average rate using the rates each part of the fund actually receives.

c) To find the earned rate of a fund, we can use the beginning and ending values of the fund and calculate the rate in Excel using the lump sum formula.

d) Both a) and c)

e) Both b) and c)

Collect the hw.

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

lump and periodic clicker questions

Review the lump sum equation via clicker questions

Plimpton Cuneiform 322 and interpreting data

Usury is Piracy

Quotes on taxation. Local to global taxes. Review the Lump sum philosophy.

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.

Collect real-life rates hw. Reflect on equations in the context of "what is mathematics."

http://www.youtube.com/watch?v=5u7hFQy9Mt0&feature=related

From 47:46 onwards

Portal and Futurama: I, Roommate.

My own research as part of a theme of success in mathematics for Project 4.

Discuss percentages and the prevalence of equations in and outside of mathematics. Review equations from the geometry segment: Eratosthenes proportion to calculation the circumference of the earth, perspective equations to calculate 2d coordinates from a 3d model, calculating angles in Escher's artwork, sum of the angles in various geometries, fitting spaces together in various geometries, Pythagorean theorem in various geometries, density equation from WMAP data, brightness ~ 1/dist^2 in various geometries from Kirschner's research on supernova explosions

Discuss test 1 and the study guide.

Discuss homework readings on Heart of Mathematics and Jeff Weeks and project 4. visualizing a hypersphere: Jeff Weeks worksheet [Einstein based his theory of relativity off of Riemann's work on this space]

Rob Kirschner's Supernovae results related to whether brightness=1/distance

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.

http://www.youtube.com/watch?v=Uzd484Mvm2k

Continue discussing the universe questions from Project 1

clicker question.

Continue going over the global questions from Project 1. Discuss the homework readings including Gauss' experiment and MAP data (WMAP) and the Planck Probe.

Discuss other methods and experiments used to explore higher dimensions, 2-D and 3-D universes, including

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,

Davide Cervone's Cube Projections.

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

Finish where is North?

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.

Review Euclidean geometry including angle sum and the Pythagorean theorem.

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

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.

1. Do you have a class or lab Mondays anytime 6 or later? We may have a choice about when thefinal research presentations are held. On the front board mark off whether you do or not.

2. Perspective lab activities

3. Take the ASULearn Mathematical Experiences reflection

Review geometery segment themes: What does a space look like, how do we know and how do we represent it?

Register the

Of the following, what is the most compelling argument (to you) about ways we could know that the earth was round without modern technology?

a) The sun and moon are round so the earth should be (originally attributed to Pythagoras)

b) Ships disappearing on a clear day appear to sink

c) Stars change as we change latitude and overlaps flip when we pass over the equator

d) Directions of hurricanes change from Northern to Southern Hemisphere (Coriolis force)

e) On midsummers day at noon, Syene (Aswan) made no shadows, while Alexandria did (Eratosthenes used this to calculate the circumference of the earth)

Julian Beever's pavement drawings:

Butterfly

Globe wrong view

Globe correct view

Accident

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

a) 2-D

b) 3-D

c) unsure

Are

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

Where is North?

If time remains, go over perspective drawing and projective geometry

Advice from last semester.