M125. Homeworks assigned. Spring 2014. [Note: "*" means written work.] [ Updated 5/14/2014, 11:21 pm ] ================================================= Math125 : Dr. Leisinger. Spring 2014 semester Syllabus for this course is: Math_125_Syllabus.txt ================================================= ALL WORK IS TO BE DONE IN THE HW notebook, unless noted below. HW# Date Date Assignment assigned due 0:1/25 1/28 Read http://www.math.umb.edu/~aleising/General_Information.txt and follow the directions there. Also, read http://www.math.umb.edu/~aleising/Preparation_For_My_Classes.txt 1:1/25 1/30 Get a hardbound Homework notebook. [immediately] Only the sew-in, 9 3/4" x 7 1/2" 100-page is acceptable. I have some of these notebooks which I got for $1.00 each; You may buy one from me until the supply runs out. Number the pages of the HW notebook. (both sides!) from 1-200. Set up your index on sides #1, #2, #3, #4 as directed in class. Get a ruler (any kind or length: used for a straight-edge). You can get a ruler from me if you need one. Get a textbook. {by 1/30/2012) see: Textbook.txt in this directory Get a non-graphing scientific calculator. (by 2/4/2014) A good one is Casio fx-260 solar. I believe you can buy it at about $9-$11 if you shop around. 2:1/29 1/30 Inventory Test The inventory test is graded only for completion. DO NOT work with anyone else. DO NOT use a calculator. All work must be done on the answer sheet. Time yourself and write down how many minutes it took you to finish the inventory test. Try all problems. Don't worry if you can't do them all; the purpose is for me to see what you know. 3:1/31 2/4 The Histogram. Read chapter 3. (See Chapter3.pdf , in this directory). The assignment is the checked problems in: * HW3_Histograms.pdf Please see also: FinalExamDate.txt in this directory. 4:2/5 2/11 The Standard Deviation. (Chapter 4) This HW is from the textbook. For those who don't have a book yet, I have posted a file, HW4_SD.pdf which contains the pages needed. Concepts: Central measures: average (=arithmetic mean) median (half the data is below, half is above) mode (where the most data occurs) Unimodal and bimodal distributions Center and "spread" rms = root mean square [remember to read the words backward] rmsd = root mean square deviation from the mean SD = standard deviation = rmsd Read ch.4 pp 56-69. (For now, in section 2, don't worry about the difference between cross-sectional and longitudinal). Problems (to be done in your HW composition book): p60-61 set A, #1-7; p65 set B, #1,2,3,4,6; p67 set C, #1-6 5:2/11 2/13 The Normal Curve. Part (A). Using the table on page A104 in your textbook, (or the table "NormalTable.pdf" in this directory ) CAREFULLY make a graph of the Normal Curve. You should use the graph paper plain_horizontal_6.pdf Hold the graph paper with the long edge horizontal. Plot the Normal Curve using Standard Units, and the density scale. (This means the area under the curve should be 1.000 ). On the horizontal "z" axis (along the bottom of the graph), use 1 box = 0.1 unit. The very center of the horizontal axis should be labeled "0.0" On the vertical axis, use 1 box = 0.01 unit. (What is the area of 1 box?) The heights of the graph are read from the Table. Part (B). [Do this part in your HW notebook.] * By counting boxes, calculate the areas as follows: 1. between z=0 and z= 0.5 2. between z=0.5 and z= 1.0 3. between z= -1 and z= 1.0 4. between z= 1 and z= 1.5 5. between z= 1.5 and z= 2.0 6. between z= -2.0 and z= 2.0 7. for the entire curve that you have graphed (ignoring the part of the curve outside of your graph paper. 8. For #1-7 above, find the appropriate area from the Table. WARNING: remember that the table gives TWO-SIDED areas. How can you find the area #1 below in the table? Answer: look up z=0.5 in the table. Divide the area in half. How will you find the area in #2 below from the table? Answer: ADD half the area for z=.05 to half the area for z=1. 9. Compare these results in #8 with the ones you have calculated by counting boxes. (your answers should agree pretty well). 6:2/11 2/18 The Standard Deviation, continued (Chapter 4) Read pp 67-69. Then do these problems in your HW book: ==> Actually, do these problems on paper that you can ==> attach to your HW notebook. ==> Be sure to use a size of paper that FITS the notebook. * p70 Set D #1,2,3,4,6,8 Read pp 71-72. * p72 Section E #1,2,3,4,5,6,7 7:2/18 2/20 Using The Normal Curve [Ch. 5]. Read Ch. 5 pp 78-85. [In your HW notebook] * Section 5.1,p. 82, set A,#1,2; Section 5.2,p. 84, set B,#1-5. 8:2/18 2/25 The Normal Curve Approximation to data [Ch. 5 section 3]. Read Ch 5, pp 85-87. * p 88, Section 5.3,set C, #1,2,3. 9:2/21 2/25 Percentiles and Percentile Rank * Read pp 88-92. Then do these in your HW book: 1.Explain the difference between Percentile and Percentile rank. 2.P 89 Set D, #1,2,3,4 3.P 92 Set E, #1,2,3 10:2/25 2/27 Survey of the lavatories at UMB This assignment was given in class. It is due in class on 2/27. 11:2/25 2/27 Correlation and Correlation Coefficient * Ch. 8 set B #1,2 * Ch. 8 set D #1 12:2/25 3/04 Properties of the Correlation Coefficient; SD line; regression * Ch. 9 p.143 set A: #2,3,4,5,6,10 * Ch. 9 p.146 set B: #2,3,4 Read Ch.9 section 5, "Association is not Causation". * Ch. 9 p.153 set E: #4,5 13:3/04 3/06 Data analysis 1. Please see LavatorySurvey.pdf on this website. It has been corrected based on our class discussion. Any row with a "*" in column 1 or column 2 or column 3 has been corrected. Notice duplicate rows. * OK, now fill out the form: LavatoryDataAnalysis.pdf You will probably need a calculator. You can use any calc, even the one on your computer or phone. ==> ALSO: prepare for a quiz like the previous quiz. Correlation coefficient will not be on the quiz. 14:3/06 3/11 Probability Read Chapter 13. * Do Chapter 13, set A (p225#1-5) and set B.(p227#1-4) ==> ALSO: prepare for a quiz. The quiz will cover calculating the correlation coefficient 15:3/06 3/25 Probability <<<===== Note change in due date! * Do Chapter 13, exercise set C, p229, #1-4 * Do Chapter 13, exercise set D, p232, #3,4,5 * Do Chapter 14, exercise set A, p240, #1,2,3 Read section 14.2 Learn the Addition Rule (section 14-2, boxes p241) * Do Chapter 14, Set B, #1,2,6 16:4/01 4/03 Binomial Formula Read Section 15.1,15.2. Learn the box p259. Understand that "n choose k" = [n!] / [ ( k! )( (n-k)!) ] Read and understand section 15.5 (Summary and Overview). * p268 #18,19,20. 17:4/01 4/03 Law of Averages * Ch. 16, set A,p277 #1-9. 18:4/01 4/08 Law of Averages again. * Ch. 16, Set B,p280 #1-7. Set C,p284#1-3. 19:4/09 4/15 Expected Value, and Standard Error Learn definitions of: Expected Value (EV), box $17.1 p289. Standard Error (SE), box $17.2 p291. Standard Deviation of a box (SD), p291. * Ch 17, Set A, p290. * Ch 17, Set B, p293-4, #1-6. ==> Prepare for a quiz on EV, SE, and SD of a box +++++ No new homework for 4/22 +++++ 20:4/24 4/29 Chance Errors in Sampling (Ch. 20) We will discuss this HW and its methods in detail on 4/29. Please read the sections 2,4 of Ch.20 and work as many of the problems below as you can. I will expect the HW to be complete on 5/1. Read Ch. 20 Ch.20 section 2: EV and SE --> "The expected value for the sample percentage equals the population percentage" --> "The SE for a percentage = (SE for number / sample size) (100%) --> "Multiplying the sample size by the factor K divides the SE for a percentage by the square root of K" * Ch.20 set A: p361 #1-8 * Ch.20 set B: p366 #1-3 Ch.20 Section 4: the Correction Factor --> "When estimating percentages, it is the numerical size of the sample, not the relative size of the sample relative to the population." --> Correction Factor = sqrt( (#tickets - #draws)/ (#tickets - 1) ) * Ch.20 Set C: p370 #1 <<==== important * Ch.20 Section 6: Review Exercises p370#1; p371#1; p372#7 ===================>> SEE: NOTICE below. <<====================== CHANGE: We will not cover Chapter 21 at all. FUTURE PARTS OF TEXT TO BE COVERED: [ Homeworks containing these problems will be assigned! ] 21:4/29 5/01 Significance Tests (Ch. 26) [I know, we haven't done it yet] We will cover sections 1-4. Read these sections. [There will be more problems assigned] [but these problems will definitely be assigned: ] * p478#5, p481#4, p496#5 22:4/29 5/6 The Chi-Squared Test (Ch. 28) We will cover sections 1-2. Read Ch 28 Section 1 and 2, pp 523-531 * Ch 28 Set A, #1-5,9,10 [ pay especial attention to #3,#4] * Ch 28 Review problem p542 #8. 23:4/29 5/8 Data Snooping (Ch. 29, Section 2) We will cover section 2. [There will be more problems assigned] [but this problem will definitely be assigned: ] * Ch 29, Review Exercise p 563 #4 If we have time, we will cover "design of experiments", also. =================================================================== NOTICE: Review materials for the Math 125 final have been posted. Please see: http://www.math.umb.edu/courses/undergraduate/math125/  www.math.umb.edu/~skovitz/math125/ =================================================================== REVIEW SESSION FOR THE FINAL EXAM: Thursday, May 15, 2:00pm-5:00 pm Place: Wheatley 1-0005 ===================================================================