Introduction to Probability
  MATH 4510
Instructor: Dr. Janos Englander
     Fall 2011               
                                                                                          Lectures: MWF 01:00PM-01:50PM

Room: ECCR 137
0131856626












Course Content:

 

  • combinatorial probability

  • random variables

  • discrete and continuous distributions

  • joint distributions

  • expected value

  • Law of Large Numbers and Central Limit Theorem


(This is more or less the first 8 chapters in the book.) 


If time permits, we will study the basics of  Poisson processes and Markov chains. (This is the beginning of Chapter 9.)




Course Grading:

10 percent:  Attandence

25 percent:  Homework

25 percent:      Midterm

         40 percent:  Final Exam



Exam Dates:

Midterm:  Mon. October 17, in class

Final: Tue. Dec 13, 1:30 p.m. – 4:00 p.m.



HOMEWORK/READING ASSIGNMENTS:
The numbers refer to the textbook (8th edition).

   8/27  (Due 9/2):
Chapter 1, Problems 7, 9, 13, 15, 18, 20, 27, 30
Read Chapter 1 and 2.1.-2.3


9/3  (Due 9/9):
Chapter 2, Problems 1,2,3,8,11,15,16
Read Chapter 2 and 3.1.-3.2c


9/9  (Due 9/16):
Chapter 3, Problems 1, 4, 6, 7, 8, 9, 10, 11
Read Chapter 3.3


9/16  (Due 9/23):
Chapter 3, Problems 13, 14, 15, 23, 26, 31(a)-(b)
Read Chapter 3.4, 3.5


9/23  (Due 9/30):
Chapter 4, Problems  1, 2, 3, 5, 25(a)-(b), 28
Read Chapter 4.1, 4.2, 4.3, 4.4, 4.5, 4.6


9/30  (Due 10/7):
Chapter 4, Problems  30(a)-(b), 33, 38(a)-(b), 40, 51, 52, 57(a)-(b)
Read Chapter 4.7, 4.8.1, 4.8.3


10/7  (Due 10/14):
Chapter 5, Problems  3,4,6,7,11,13
Read Chapter 4.10, 5.1, 5.2


10/21  (Due 10/28):
Chapter 5, Problems  15, 19, 21 (see table on p. 201)
Chapter 6, Problems 10, 11, 21
Read Chapter  5.3, 5.4 (except 5.4.1), 5.5, 6.1


10/28  (Due 11/4):
Chapter 6, Problems 22, 23, 26, 27, 29, 39
Read Chapter  6.2


11/4  (Due 11/11):
Chapter 7, Problems 1, 4, 6, 7, 9, 16
Read Chapter 7.1, 7.4


11/11  (Due 11/18):
Chapter 8, Problems 1, 2, 3, 4, 5, 6
Read Chapter 8.1, 8.2, 8,3


11/18  (Due 12/2):
Chapter 8, Problems 7,8,10,15
Read Chapter 8.4 and 8.5
 

   The required text for this course is
First Course in Probability, A, 8/E ,
by Sheldon Ross

It's important you buy this book because:

  • There will be required reading from the book
  • Homework assignments will come from the book
  • I will test on material from the book
  • It will help you get a better grade in my course


                  !!! Midterm statistics: Mean: 77.32; Highest: 100; Lowest: 33 !!!


 

How to reach me:

Office: MATH 324.
Phone: 303-492-4846 (with voice mail)
electronic mail
Office Hours:    M 12:00-1:00; F 11:00-12:00

Enrollment questions: Please see the Registrar's web page, or call their office. If you still have problems, then see Tiffany at the Math. Dept. Office

Texting policy: No texting in class.

Solutions to the midterm (4 pages): 

P.1

P.2

P.3

P.4



    

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