Probability Theory I

Math 461 Fall 2006 Sections C13/C14

Announcements:
(Dec 19) I have finished grading the final exam and calculating final course grades. I have submitted the grades online, so you should be able to see your final course grade online. You can also email me to get your final exam score and your grade.
Enjoy the holiday break!

 
Course Materials:
    Course outline and course log recording topics covered in each lecture.
    Textbook: A First Course in Probability by S. Ross, Prentice Hall, 7th ed., 2006.

Homework (out of 10 points):
#1: Chp 1, p 16: 5, 7, 19, 22, 24, 27 (1pt each); TE: 8, 9 (2pts each); due Fri Sept 1
#2: Chp 2, p 55: 2, 14, 25, 29, 54 (1pt each); TE: 11 (1pt), TE: 19, 20 (2pts each); due Fri Sept 8
#3: Chp 2, p 55: 51, 52 (2pts each); Chp 3, p 111: 10, 20, 36, 43 (1pt each), TE 8 (2pt); due Fri Sept 15
#4: Iprom Project 1; Chp 3, p 111: 53, 74, 78; TE: 10 (1pt each); due Fri Sept 22
#5: Chp 3, p 111: TE 5 only do negative info (2pts), 24 (4pts); ST: 22 (2pts); Chp 4, p 187: 4, 20 (1pt each); due Fri Sept 29
#6: Chp 4, p 187: 23, 31, 32 (2pts each); 35, 38 (1pt each); TE: 6 (2pts) due Fri Oct 6
#7: Chp 4, p 187: 33, 48, 55, 61, (1pt each); 60, 72, 78 (2pts each); due Fri Oct 13
#8: Chp 5, p 247: 13 (1 pt), 4, 20, 26 (2 pts each); TE 8 (3 pts); due Fri Oct 20
#9: Chp 5, p 247: 34, 40, TE 29 (2 pts each); Chp 6, p 313: 7 (1 pt), 9 (3 pts); due Fri Oct 27
Suggested: Chp 6, p 313: 11, 14, 21, 23, 27, 32, 34; not to be submitted
#10: Iprom Project 3; due Mon Nov 6
#11: Chp 6, p 313: 39 (1pt), 42, 51 (2pts each); TE: 9 (2pts), 10 (1pt), 14 (2pts); due Fri Nov 10
#12: Chp 7, p 408: 11 (1pt), 17 (3pts), 36, 47; TE: 1 (2pts each); due Fri Nov 17
#13: Iprom project; due Fri Dec 1
#14: assignment due Fri Dec 8
Suggested: on Markov chains; not to be submitted
 
Instructor:
    Stephen Hartke, hartke @ math . No . Spam . uíuc . edu (appropriately changed)
    Office: Illini Hall Room 227A, Phone: 217-265-6760
    Office Hours: Mon, Wed, and Fri, 1:00-1:50pm, or by appointment.
Meeting Times:
    Mon, Wed, and Fri, 10:00pm-10:50pm, Altgeld Hall Room 443
Tests:
    Two tests given in class on Fridays Sept 29 and Nov 3
Final Exam:
    Thurs, Dec 14, 8:00am-11:00am, Altgeld Hall Room 443
 
Links:
    Iprom probability software and hours of 239 Altgeld.
    Other sections of Math 461: Richard Laugesen (11am), Robert Bauer (12pm), Zoran Vondracek (2pm), and Bruce Carpenter (3pm).
 
Old Announcements:
(Dec 11) The suggested problems on Markov chains have been posted below.
Homework 14 has been graded and can be picked up at my office. I should be in my office Tuesday afternoon. If you would like to talk to me, please email me to arrange a time; because of finals week, I do not have regularly scheduled office hours.
(Dec 8) Discussions of Google's PageRank algorithm and computing the probabilities in Monopoly.
(Dec 4) The final exam is Thurs, Dec 14, 8:00am-11:00am, in Altgeld Hall Room 443. Half of the exam will focus on the material since the second test (essentially being Test #3), and the other half will be cumulative over the entire semester. The length will be about twice the length of the previous tests, and the format will be very similar. During the exam, you will be given the summary sheets for the common discrete and continuous random variables, the table of areas under the normal curve, and the table of moment generating functions for common discrete and continuous random variables.
(Nov 7) Here is an explanation of the Arc Sine Law that formed the basis for the last Iprom project.
(Nov 2) Remember that Iprom Project III is due on Monday. The Windows computers in 110 Altgeld have Matlab on them, and printing available. The computers can be used with an Active Directory password; they may need to be rebooted from Linux into Windows. The lab is open whenever Altgeld is open.
(Nov 1) During the test, you will also have a copy of the table on page 222 listing areas under sections of the normal curve. The policy for calculators will be the same as the first test. It might be a good idea to have a calculator for some of the calculations.
(Oct 27) The second test will be Fri Nov 3 during class, covering material up through section 6.3 (today's lecture). The format of the test will be very similar to that of the first test. You will have available during the test the summaries of the discrete and continuous random variables discussed in class.
(Oct 20) Here is a summary of the informal early feedback survey distributed on Wednesday. 18 students filled out the forms; thank you for your input!
(Oct 9) On Wed Oct 11, I will not have office hours from 1-1:50pm. Instead, I will have office hours from 2-2:50pm.
(Oct 4) I will not have office hours on Fri Oct 6. Homework #6 is due on Fri Oct 6, and we will also have a guest lecturer.
Here is a summary of the discrete random variables discussed in class.
(Sep 22) The first test is Fri Sep 27 during class. The test will cover up through Chapter 3 (Wed Sep 20's lecture). Here are some tests from previous semesters.
Calculators will be allowed on the test, but only for arithmetical operations. No algebraic capabilities may be used, and no formulas or other information stored on the calculator may be used. You will be asked to sign a statement affirming that you are using the calculator only for arithmetical operations.
(Sep 19) You can do the Iprom projects on any computer with Matlab and Simulink installed (the Iprom software is free and can be easily installed following the directions on the website). 239 Altgeld is open anytime a Netmath mentor is present; these are the hours. Here is the schedule of classes held in 239 Altgeld. Most instructors allow other students to quietly use any free computers in the lab.
Printing has been disabled in 239 Altgeld. As an alternative, you can select Print...To a file. The file is a Postscript file, and you need to give it a “.ps” extension. When viewing the Postscript file with the Preview app (by double-clicking on it from the Finder or on the desktop), when you hit Print, you have an option to save the file as a PDF file. The PDF file can then be uploaded to your Netfiles account, which you can then printed out in another computer lab (such as the CITES computer labs).
(Sep 19) You can do the Iprom projects on any computer with Matlab and Simulink installed (the Iprom software is free and can be easily installed following the directions on the website). 239 Altgeld is open anytime a Netmath mentor is present; these are the hours. Here is the schedule of classes held in 239 Altgeld. Most instructors allow other students to quietly use any free computers in the lab.
Printing has been disabled in 239 Altgeld, and printing to a PDF file does not seem to work. Making a screen capture and then printing the resulting file in another computer lab seems the best option. Here are directions for using the Mac's screen capture program called Grab.
(Sep 15) You can do the Iprom projects on any computer with Matlab and Simulink installed (the Iprom software is free and can be easily installed following the directions on the website). The hours for 239 Altgeld are posted here. Most instructors allow any student to quietly use any free computers in the lab. Printing might be different. Remember that you can always print to a PDF file, and email yourself the PDF file to print later.
(Sep 11) On Friday Sep 15, class will be held in the 239 Altgeld Hall computer lab. Before class, make sure that you know your Active Directory password (the login ID is still your NetID). You can change your Active Directory password at this CITES webpage.
(Aug 10) Assignment of instructor to class.

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