Dr. Sarah's Math 1010 Class Highlights

### Dr. Sarah's Math 1010 Class Highlights

• Thur 8/17 - Intro to course, syllabus and policies, section 2.1. Each group did a problem 2.1 5,6,7,9,12. HW for Mon 8/21 p. 69-71 # 1 or 4, 17, 20, study class notes, hw problems and Wile E. assignment for WebCT quiz 1, bring a scientific calculator and textbook (with y^x, x^y, or ^) to classes.
• Mon 8/21 - Lab 1 Directions Intro to web, pipeline, the class web pages, WebCT bulletin board and quizzes and Microsoft Word. Web based problems on % need to use Internet Explorer , problem 1.1, problem 1.2, and problem 1.3, quiz 1 on WebCT. Work on Wile E. Coyote assignment due Tuesday at 5pm. HW for Tues 8/22 Web based problems on % need to use Microsoft Internet Explorer problem 1.4, and problem 1.5 , Wile E. assignment due Tues at 5pm, WebCT quiz 1 retakes at least once (available at 4pm today) until you achieve a perfect score.
• Tues 8/22Go over homework problems, via randomly picking on students, 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%. HomeworkWile E. Coyote assignment typed and printed out due today at 5pm., read pages 72-76, page 90 numbers 1 and 2, Web Problems on Internet Explorer Problem 2.2 #1 Problem 2.2 #2 due Thur 8/24, WebCT quiz 1 retake at least once (but up to 5 times) until you achieve a perfect score before Monday at 5pm.
• Thur 8/24 Review lump sum formula. Students called on randomly to present hw. 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. Discuss periodic payment formula. 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%. Discuss solutions and calc keys. 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 (ie .004,.0041,.00416,...) and we compared the final answers. Homework WebCT quiz 1 retake at least once (but up to 5 times) until you achieve a perfect score before Monday 8/28 at 5pm. HW for Tues 8/29 Problem 2.2 #3, Problem 2.2 #4 Problem 2.2 #5 Problem 2.2 #6 (the answer to the last question is wrong - 9% we would choose 1500 a month and 8% 30,000 later, 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, Wile optional revisions due next Thur at 5pm (turn in original with revised paper).
• Mon 8/28 Review WebCT calendar, bulletin board, course grades (under Tools), and quizzes, Dr. Sarah's Mat 1010 pages and the class highlights page. Ben Franklin Lab (there will be no revisions on this lab due Tues 9/5), Jane and Joan Worksheet due Fri 9/8, WebCT quiz 2 on savings, Ben Franklin and Jane and Joan. Retakes available at 4pm and due on Wed 9/6. HW See the above couple of lines, homework from Thur 8/24, and see WebCT calendar.
• Tues 8/29 Review formulas, go over homework, discuss Ben Franklin Lab writeup, Jane and Joan sheet and quiz 2, 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? Guess and check. Homework for Thursday 8/31 Optional Wile E. revisions, p. 90 8 and 10, You Try It 2.8 (solutions are on page 306), Internet Explorer web based problems Problem 2.2 #7 Problem 2.2 #8 Problem 2.2 #9, Problem 2.2 #10.
• Thur 8/31Review Formulas, go over homework, Logs. Solve 5^time=25. 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? 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. Homework for Tues 9/5 Ben lab, p. 90 11-13, You try its 2.9 and 2.10 (p. 88, with solutions on p. 306), Internet Explorer web based problems Problem 2.2 #11. Problem 2.2 #12, WebCT quiz 2 retake due Wed 9/6 at 5pm, Joan and Jane Worksheet (1 per person) due Fri 9/8 at 5pm. For Mon 9/11, study for WebCT quiz 3 - 1 or 2 problems on matching formulas to problems, 1 common sense problem, 1 question about the orange poster on my door 326 (read this!), 1 question on that lab.
• Mon 9/4Labor Day
• Tues 9/5 Go over homework, when can we get our car if we put in \$200 a month into a 6% compounded monthly account if we need \$22,000? Math Whiz problem contest - each group picks 1 problem from p. 91 19, 21, 22, 23, 24, 25, and prepares a presentation on them. Correct presentations are awarded Math Whiz prizes. Homework See Homework from Thur 8/31, p. 91 #17 and 20 and redo all the web based problems as a review.
• Thur 9/7Convocation and Assessment
• Mon 9/11Joan and Jane Extra Credit, Dr. Sarah's Condo lab, WebCT quiz 3. Homework for Tues p. 91 #17 and 20 and redo all the web based problems as a review Extra credit for Wed Extra Credit for student loan statement due at 4pm Wed For next Monday Car Lab Homework DUE at the begining of Mon 9/18 lab, for WebCT quiz read Asking the right questions poster on bulleting board between 303B and 305, Dr. Sarah's condo lab due at 5pm (1 per group). For next Tues Quiz 3 retakes due at 5pm (they are available starting at 4pm today).
• Tues 9/12 Go over homework, talk about car lab homework, condo lab and payment formula. Look at Dr. Sarah's Condo (costs \$105,265, putting 20% down, at 6.75% compounded monthly) with the payment formula and compare to Excel.
-loan 84,212. What is the monthly payment?
-what if buy down the rate to 6.25%? What is the monthly payment?
-what is the monthly payment if we keep the rate at 6.75%, but instead take out a smaller loan of 82,212?
Homework see Monday's homework, start collecting real life interest rates on savings and checking accounts, credit cards, money market accounts, cds, and student, house and car loans. Extra credit for Wed Extra Credit for student loan statement due at 4pm Wed,
HW due Thursday Web based problems need to use Internet Explorer , Problem 2.3 #1, Problem 2.3 #2, Problem 2.3 #3. What would have happened if I had waited until today to buy the condo? Assume that the price of the condo had remained the same (which it wouldn't have!). What is the monthly payment if we use today's mortage rate of approximately 8.25%. How much would I pay in total? How much of that would be interest? (I obtained this rate at www.bankofamerica.com/mortgage/index.cfm?state=NC&view=OPTIONS&category= FIXED I then went to Current Rates: and chose Conventional Fixed and then Go! and then scrolled down a bit.
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?
• Thur 9/14 Go over homework, 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 above and discuss. Analyze Dr. Sarah's student loan statements, analyze past student Mark's student loan statement. Homework see homework from Monday 9/12, WebCT quiz 4 - 1 matching formulas question, 1 matching common sense question and 1 poster question, exam review sheet.
• Mon 9/18 Car Lab Homework DUE at the begining of lab. Look at the calendar on WebCT and click on the 28 (of September 28th), and from the main webct page, under General Tools, click on View Your Marks. Car Lab due at 5pm on Tuesday 26th, and WebCT quiz 4. Homework Condo lab due at 5pm, WebCT quiz 3 retakes due Tues at 11:55pm. WebCt quiz 4 retakes due Thursday - I recommend you do them before the test. Study for Test 1 (see review sheet), read Collaboration in Science poster on bulletin board between 303 and 305, (Orange poster is still on my office door, and Asking the Right Questions poster will be moved just to the left of my office door.) collect real life interest rates on savings and checking accounts, credit cards, money market accounts, cds, and student, house and car loans (due Thur 28th).
• Tues 9/19 Review for Test 1 by first going over WebCT quiz 4 common sense matching, then going over the formulas involved, and finally taking questions from the students.
• Thur 9/21 Test 1 on Finance, 1 8.5 by 11 sheet with writing on both sides allowed, 1 calculator mandatory. Homework WebCt quiz 4 retakes due today. For Monday, read Collaboration in Science poster on bulletin board between 303 and 305, (Orange poster is still on my office door, and Asking the Right Questions poster will be moved just to the left of my office door.). There will also be a question on the car lab and on Monday's lab. Optional Condo revisions due Monday at 5pm. For Tuesday, car lab is due. For Thur, collect real life interest rates on savings and checking accounts, money market accounts, cds, and student, house and car loans (due Thur 28th).
• Monday 9/25 Dr. Sarah's Homer Tax Lab, Dr. Sarah's Stock Market Homework, and WebCT quiz 5 Homework See last Thursday, and post message about your stock.
• Tuesday 9/26 Review some points from Monday's lab, including 28% tax bracket, stock market lab, and the MSFT stock market update and P/E ratio. Analyze credit card statements. Due at 5pm Car lab Homework for Thur Where did 449.67 balance subject to finance charge come from (find the exact calculation)? Collect real life interest rates (see Thur). For next MondayRead poster between 303b and 305 on the golden mean, Extra Credit for doing web searches on the golden mean, and summarizing some (or one) of the ideas that you find in a typed page plus web address references. do this Tues, Wed, Thur or Fri while the markets are open 9:30-4 Look at my bulletin board update article under the stock market Forum on MSFT and my losses with the Subject: re: Dr. Sarah MSFT (part of Monday's lab), and do a similar update for your stock on the bulletin board. Also, look at my article under the stock market Forum with the Subject: MSFT P/E ratio, read p. 126-127 from the book again, and discuss your stock's P/E ratio and the meaning (this can be in with the other message if you like). For next Tues Homer Tax lab and test 1 revisions (read my bulletin board article under the Main Forum with the Subject: test 1 revs - some answers
• Thursday 9/28Go over the calculation for balance subject to finance charge, analyze credit card offers and discuss the positives and negatives of credit cards, collect and discuss real life interest rates. Homework See Tuesday's Homework, for WebCT quiz, study golden mean poster, tax chart and computations, class notes on credit card and and stock market postings.
• Monday 10/2 WebCT quiz 6, and Stock Market Statistics Lab.
• Tues 10/3 Go over MSFT purchasing price and "what if I had sold", and discuss stock statistics lab, Video - chapter 17 on Census and Sampling, and then a discussion of the statistical issues in the video. Video - Ch. 18 on Sample Surveys, and then a discussion of the issues in the video. Homework for Today Homer Tax lab and Test 1 revisions, Homework for ThurUse Internet Explorer for this Web based problem (bras should be bias!) Problem 1.1, Homework for Monday For WebCT quiz 7, Read Chaos and weather poster btwn 303B and 305, and study Dr. Sarah's MSFT rough draft from under WebCT course content. Homework for next Tuesday Stock Market Statistics Lab due at 5pm, Webct quiz 6 retakes due
• Thur 10/5Update on NITE, Dr. Sarah's Sampling Exercise, Circle sampling exercise from the textbook.
• Mon 10/9 Dr. Sarah's Polls and 2000 Census Lab, WebCT quiz 7
• Tues 10/10 Survey: How far away (in miles) is each student's hometown? Discussed biases in the data. Order the data. Find the mean and median. Do one histogram at a bin width of 100. Discuss the difference between the book and the computer on histograms. Each group does a different bin width. Watch Statistics Video Decisions Through Data, Unit 4: Measures of Center. Homework Study for WebCT quiz, see WebCT Calendar, p. 151 You try it 2.1, p. 160 You try it 2.5, (answers are in the back of the book), p. 168 number 12.
• Mon Oct 16WebCT quiz 8, Dr. Sarah's Stock Market Statistics Lab Part II
• Tues Oct 17Go over histogram hw, review last 2 labs, for class data, do a pie chart and then a boxplot. Compare to histogram for the class data. Homework for ThurSee WebCT calendar for other HW, Need to use Internet Explorer for web based problems, Problem 3.1 (see my WebCT posting on the errors in here!), and p. 185 number 6, Problem 3.2 , Problem 3.3, Problem 3.4, p. 186 number 14.
• Thur Oct 19Hand out review sheet for test 2 on statistics, Students called on to go over HW from Thur, discuss examples of data sets for #6, discuss standard deviation for the class data, discuss standard deviation of Web Based Problem 3.1 from last HW, continue analyzing what kind of info one can read from different statistical representations.HW See WebCT Calendar
• Mon 10/23WebCT quiz 9, SAT lab
• Tues 10/24Are you a square? Measure the armspan and height of some students. Discuss p. 192-193 and p. 201. Then do p. 209 number 11 while discussing the line between two points, and explaining what the r^2 value measures. Discuss r^2 value obtained on excel for this problem and the best fit line, compare prediction for x=15 hours. Explain why it doesn't make sense to plug in x=30 into the line. Review linear regression plots in last two labs. HWSee WebCT calendar, stock update due on paper as on calendar, Need Internet Explorer for Problem 3.5, Problem 4.1, Problem 4.2, Problem 4.3, Problem 4.4, p. 209 number 12.
• Thur 10/26Go over p. 209 number 12, 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! Collect stock market updates, read off the gains or losses, and discuss issues related to the stock market. Also discuss what we expect the average and standard deviation to be. Go over WebCT quiz questions from quiz 9 on the 1st boxplot question of S&P 500 prices, and the mean, median and standard deviation question.
• Mon 10/30 WebCT quiz 10. Groups of two pick a mathematician from a hat, post their message to the WebCT bulletin board as directed on the first page of Dr. Sarah's What is a Mathematician?, and start collecting references as directed at the end of the reference page in the section Searching for Additional Library References. Look at Dr. Sarah's partial solutions on web polls and census info. Groups of 3 conduct the egg bungee jump contest
• Tues 10/31 Bring printouts of WebCT quizzes 7-10 class since we will review using them. I will then take questions from the class as a review for the test.
• Thur 11/2 Test 2 on Statistics One 8.5*11 sheet with writing on both sides allowed. Calculator is mandatory, straight edge is allowed.
• Mon November 6 WebCT quiz, skim over web pages on MIT women in science study accessible from clicking on today's date on the calendar, Dr. Sarah's What is a Mathematician - Andrew Wiles and Fermat's Last Theorem
• Tues 11/7Discussion of Monday's Lab including MIT women in science study and Nova's The Proof on Fermat's Last Theorem. Discuss Pythagorean Thm, Fermat's Last Theorem, why a computer can't check all the cases, how a mathematical proof will demonstrate that there are no solutions without checking all the cases, Taniyama-Shimura conjecture and the Epsilon conjecture. By looking at the example If I get a speeding ticket, then I was driving too fast, we demonstrate how If A then B is logically equivalent to If not B then not A, but that these are different statements then If B then A. Then, We apply this to the Epsilon conjecture to see that the conjecture is logically equivalent to If Taniyama-Shimura is true then Fermat is true. Then we discuss the mathematical style of Andrew Wiles, and begin Dr. Sarah's mathematics and mathematical style.
• Thur 11/9 Finish Dr. Sarah's mathematics and mathematical style: Discuss diameter of spaces, the diameters of a sphere, a football made from a sphere, and a three-cornered pillow shaped object made from a sphere by using an icosahedron. Go over preliminary reference lists and continue working on What is a Mathematician
• Mon 11/13 WebCT quiz, Skim through this website on linear regressions of Buchanan votes in Palm Beach, What is a Mathematician continued - Searching for Dr. Sarah
• Tues 11/14 Euclid, Agnesi, Germain, Gauss presentations
Euclid
web pages of powerpoint of Meredith C and Holly's presentation on Euclid
Maria Agnesi
Picture of Anna explaining the witch of Agnesi curve
audio of Anna explaining the witch of Agnesi curve
Sophie Germain
web pages of Sabrina and Asheley's presentation on Sophie Germain
Gauss
audio of Dr. Sarah explaining Euclid's 5th postulate, and the relationship to spherical and hyperbolic geometry
• Thur 11/16 Ramanujan, Erdos, Blackwell, Rudin presentations
Ramanujan
Becca and Liz's presentation on Ramanujan (Power point version - not html yet)
Pictures and audio from Liz's explanation of Cheybeychev's Thm
Paul Erdos
Mindy and Holly J's presentation on Erdos (Power point version -not html yet)
audio Explanation of Erdos' math
shortened video version of Erdos' math
David Blackwell
picture of Sally and David C's interogation of Jacob with a flashlight in the prisoner's dilema
audio of Sally and David C's interogration of Jacob in the prisoner's dilema
audio of Sally and David C explaining the prisoner's dilema
Mary Ellen Rudin
picture of Brian and Tracy explaining topology using their playdoh
audio of Brian and Tracy explaining topology using their playdoh
David P and Rebecca handing out donuts
• Mon 11/20 Review of Presentations, WebCT quiz 13, Dr. Sarah's Geometry of our Earth and Universe
• Tues 11/21 Hand out Extra Credit packet, Gordon, Daubechies, Morgan, Okikiolu presentations
Carolyn Gordon
picture of Susie and Melissa playing Drums
Dr. Sarah's article on Kate Okikiolu and Carolyn Gordon's mathematics
Ingrid Daubechies
web pages of Jacob and Jonathan's presentation
web page on Wavelet Image Compression - Beating the bandwidth bottlenec by Peter Schroder
picture of Lakita showing the effect of Wavelets on images
picture of Lakita drawing a wavelet on the board
Frank Morgan
audio of Sonya explaining the single bubble problem
picture the class blowing single bubbles, with Lauren in the background
picture of a double bubble blown in class, with Lauren in the background
audio of Lauren explaining the wall between two bubbles
audio of Lauren explaining the double bubble problem
Kate Okikiolu
web pages of Joel and Matt's presentation
Also see link to article under Carolyn Gordon
• Mon 11/27 WebCT quiz, Dr. Sarah's 2-d into 3-d Homer
• Tues 11/28 Collect written report and web pages on problem from geometry of our earth and universe, groups then present their ideas and research on their problem to the rest of the class, and then I go over the solution.
• Thur 11/30 Finish presentations and my solutions, do student evaluations, start Monday's lab.
• MonTake WebCT quiz 14, Dr. Sarah's 3-d into 4-d Homer, Distant object in the universe