MATH 4510: Intro to  Probability

 
Instructor: 
Dr. Janos Englander
     
Fall 2012               
                                                                                          
MWF 01:00PM-01:50PM
Room: ECCR 108

Grader and his email: 
Bin Wang; Bin.Wang-1@Colorado.EDU


PREREQS.: 

*MATH 2400 (Calc 3) or APPM 2350 
*MATH 3130 (Linear algebra)
*Credit NOT granted for this course and APPM 3570, ECEN 3810, or      MATH 3510.

Warning: In the course we will use double integrals several times. You really need to know this stuff from Calculus! If you are not comfortable with double integrals, you may want to reconsider taking this course.



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:  Attendance
25 percent: HW  
25 percent: Midterm
40 percent:  Final Exam


Exam Dates: 
Midterm: Monday, October 22; in class  SOLUTIONS  MT average: 78
Final: Sat., Dec 15, 7:30 p.m. - 10:00 p.m (according to the schedule posted by the Office of  the Registrar)
Last year’s midterm: CLICK
A final from 2009: CLICK
A final from 2011: CLICK



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

SET 1:
9/7  (Due 9/14):
Chapter 1, Problems 7, 9, 13, 15, 18, 20, 27, 30
Read Chapter 1 and 2.1.-2.3

SET 2:
9/14  (Due 9/21):
Chapter 2, Problems 1,2,3,8,11,15,16
Read Chapter 2 and 3.1.-3.2c

SET 3: 
9/21 (Due 9/28):
Chapter 3, Problems 1, 4, 6, 7, 8, 9, 10, 11
Read Chapter 3.3

SET 4: 
10/2  (Due 10/9):
Chapter 3, Problems 13, 14, 15, 23, 26, 31(a)-(b)
Read Chapter 3.4, 3.5

SET 5: 
10/10  (Due 10/17):
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

SET 6:
10/18  (Due 10/26):
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

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

SET 8:  (Due 11/16):
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

SET 9:  (Due 12/7):
Chapter 6, Problems 22, 23, 26, 27, 29, 39
Read Chapter  6.2
 
The required text for this course is

A First Course in Probability 
8/E , 
by Sheldon Ross   

TAKE A LOOK 


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


             
 
How to reach me:

Office: MATH 324.
Phone: 303-492-4846 (with voice mail)
electronic mail

Office Hours:    Monday and Friday 11-12


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

Eating/drinking policy: That’s fine.
Texting policy: No texting in class.
Graded homework policy: It’s fine to keep the graded homework, but if you chose to keep it, then there will be no further discussions on partial credits.


SOME IMPORTANT CU POLICIES

(1) If you qualify for accommodations because of a disability, please submit to
me a letter from Disability Services in a timely manner (for exam accommodations provide your letter at least one week prior to the exam) so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities. Contact Disability Services at 303-492-8671 or by e-mail at dsinfo@colorado.edu.

If you have a temporary medical condition or injury, see Temporary Medical
Conditions: Injuries, Surgeries, and Illnesses guidelines under Quick Links at
Disability Services website and discuss your needs with me.

(2) Campus policy regarding religious observances states
that faculty must make reasonable accommodation for them and in so doing, be
careful not to inhibit or penalize those students who are exercising their
rights to religious observance. I am aware that a given religious
holiday may be observed with very different levels of attentiveness by
different members of the same religious group and thus may require careful
consideration to the particulars of each individual case.  For guidelines, see
http://www.colorado.edu/policies/fac_relig.html

If you have questions about the rules with regard to religious accommodations,
please contact the Office of Discrimination and Harassment at 303-492-2797.

A comprehensive calendar of the religious holidays most commonly observed by
CU-Boulder students is at 
http://www.interfaithcalendar.org/

Campus policy regarding religious observances requires that faculty make every
effort to deal reasonably and fairly with all students who, because of
religious obligations, have conflicts with scheduled exams, assignments or
required attendance.  See full details at 
http://www.colorado.edu/policies/fac_relig.html

(3)  Students should be aware of the campus "Classroom Behavior" policy at
http://www.colorado.edu/policies/classbehavior.html as well as faculty rights
and responsibilities listed at
http://www.colorado.edu/FacultyStaff/faculty-booklet.html#Part_1
These documents describe examples of unacceptable classroom behavior and
provide information on how to handle such circumstances should they arise.

Students and faculty each have responsibility for maintaining an appropriate
learning environment. Those who fail to adhere to such behavioral standards may
be subject to discipline. 

I will follow the guidelines stating that “professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of
race, color, culture, religion, creed, politics, veteran's status, sexual
orientation, gender, gender identity and gender expression, age, disability,
and nationalities.”  

Class rosters are provided to me with the
student's legal name. I will gladly honor your request to address you by an
alternate name or gender pronoun. Please advise me of this preference early in
the semester so that I may make appropriate changes to my records.  See policies at
http://www.colorado.edu/policies/classbehavior.html   and at
http://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_code


(4)  The University of Colorado Boulder (CU-Boulder) is committed to maintaining a
positive learning, working, and living environment. The University of Colorado
does not discriminate on the basis of race, color, national origin, sex, age,
disability, creed, religion, sexual orientation, or veteran status in admission
and access to, and treatment and employment in, its educational programs and
activities. (Regent Law, Article 10, amended 11/8/2001).  

CU-Boulder will not tolerate acts of discrimination or harassment based upon Protected Classes or related retaliation against or by any employee or student. For purposes of this CU-Boulder policy, "Protected Classes" refers to race, color, national origin, sex, pregnancy,  age, disability, creed, religion, sexual orientation, gender
identity, gender expression,  or veteran status.  Individuals who believe they 
have been discriminated against should contact the Office of Discrimination and
Harassment (ODH) at 303-492-2127 or the Office of Student Conduct (OSC) at
303-492-5550.  Information about the ODH, the above referenced policies, and
the campus resources available to assist individuals regarding discrimination
or harassment can be obtained at 
http://www.colorado.edu/odh

(5)  All students of the University of Colorado at Boulder are responsible for
knowing and adhering to the 
academic integrity policy of this institution.
Violations of this policy may include: cheating, plagiarism, aid of academic
dishonesty, fabrication, lying, bribery, and threatening behavior.  
All incidents of academic misconduct shall be reported to the Honor Code Council
(honor@colorado.edu; 303-735-2273). Students who are found to be in violation
of the academic integrity policy will be subject to both academic sanctions
from the faculty member and non-academic sanctions (including but not limited
to university probation, suspension, or expulsion). Other information on the
Honor Code can be found at 
http://www.colorado.edu/policies/honor.html  and at
http://www.colorado.edu/academics/honorcode/
mailto:Bin.Wang-1@Colorado.EDUMATH_4510_files/4510MT.SOL.2012Oct.pdfMATH_4510_files/4510MT2011Oct.pdfMATH_4510_files/4510_final_2009_Fall.pdfMATH_4510_files/4510_final_2011_Fall.pdfhttp://www.amazon.com/A-First-Course-Probability-ebook/dp/B005H8D88G/ref=dp_kinw_strp_1mailto:dsinfo@colorado.eduhttp://www.colorado.edu/policies/fac_relig.htmlhttp://www.interfaithcalendar.orghttp://www.colorado.edu/policies/fac_relig.htmlhttp://www.colorado.edu/policies/classbehavior.htmlhttp://www.colorado.edu/FacultyStaff/faculty-booklet.html#Part_1http://www.colorado.edu/policies/classbehavior.htmlhttp://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_codehttp://www.colorado.edu/odhmailto:honor@colorado.eduhttp://www.colorado.edu/policies/honor.htmlhttp://www.colorado.edu/academics/honorcode/shapeimage_2_link_0shapeimage_2_link_1shapeimage_2_link_2shapeimage_2_link_3shapeimage_2_link_4shapeimage_2_link_5shapeimage_2_link_6shapeimage_2_link_7shapeimage_2_link_8shapeimage_2_link_9shapeimage_2_link_10shapeimage_2_link_11shapeimage_2_link_12shapeimage_2_link_13shapeimage_2_link_14shapeimage_2_link_15shapeimage_2_link_16shapeimage_2_link_17