Welcome to the Course Page of AS/SC/AK/MATH  2030 3.0 A Elementary Probability Fall 2003 Department of Mathematics and Statistics York University 4700 Keele Street Toronto, Ontario  M3J 1P3

### Announcements

This area will contain announcements and solutions to quizzes and midterm exam. Announcements made in class will be posted here in reverse chronological order and will not be repeated in class. Please take a minute to read the announcements carefully, as they often get updated. You may need to Reload/Refresh this page.

### Course Information

 Course: Session: Fall 2003 Section: A Lectures: MWF 8:30-9:20am, CLH E Tutorials: TBA Instructor: Name: Iulduz Raguimov Office: S512 Ross Phone: x66092 Office Hours: W 1:30-3:00pm, R 4:30-6pm, also by appointment Email: TAs: Names: Jing Wang Ina Sandler Email: Grading Assignments 12% Two Quizzes 10% Midterm Exam 25% Final Examination 50% Participation 3%

Course Description: The course covers the mathematics of probability. Topics include probability spaces, conditional probability, independence, random variables, distribution functions, expectations, Chebyshev's inequality, common distributions, moment-generating functions and limit theorems. Basic mathematical models of randomness will be introduced and fundamental notions of independence and conditional probability will be analyzed. Calculations will be based both on combinatorial methods and on integral calculus. A variety of concrete distributions (Normal, Binomial, Poisson, etc, together with their multivariate generalizations) will be studied using density functions, distribution functions and moment-generating functions. The course is designed for students who want more than a "cookbook" approach to the subject, for those who expect to take further curses in probability, mathematical statistics or stochastic processes. Students contemplating taking actuarial science examinations are strongly recommended to take this course.
For a more detailed list of topics with references to the text, please see
Course Schedule.

 Textbook: Probability by Jim Pitman (Springer-Verlag, 1993). ISBN 0-387-97974-3 Course Prerequisites: AS/SC/MATH 1010 3.0, or AS/SC/MATH 1014 3.0, or AS/SC/AK/MATH 1310 3.0. Degree Credit Exclusion: None Important Dates: September 08: Classes commence. September 19: Last date to announce the components of final grade. September 19: Last date to enrol in the course without my permission. October 03: Last date to enrol in the course with my permission. November 07: Last date to drop the course without receiving a final grade. December 02: Classes end. December 03: Study period before exams. December 04: Last date to submit term work.. December 04: Examinations Start December 19: Examinations End.

### Course Schedule

(subject to any changes announced in class)

 WEEK SECTIONS COMMENTS September 8-12 1.1, 1.2, 1.3 Lectures begin Monday, September 08. September 15-19 1.3, 1.4, 1.5 Tutorials begin. September 22-26 1.5, 1.6 Sep 29- Oct 3 1.6, 2.1, Quiz 1 Quiz #1 will take place on Friday, October 03. October 6-10 2.1, 2.2 No classes will be on Monday, October 06. October 13-17 2.2, 3.1 No classes will be on Monday, October 13. October 20-24 4.1, 4.4 October 27-31 4.4, 4.5, Midterm Exam Midterm Exam will take place on Wednesday, October 29. November 3-7 4.5, 3.2 November 10-14 3.2, 3.3 November 17-21 3.3, 2.4, Quiz 2 Quiz #2 will take place on Friday, November 21. November 24-28 3.1, 3.4, December 1, 2 4.2,  Review Lectures end Tuesday, December 02. December 4-19 Final Examination: Tuesday, Dec. 16 at 19:00 in SLH A and F.

Note 1: Not all the sections of each chapter will be covered.
Note 2: It is recommended to read the relevant sections of the text before every lecture.

### Homework

This area will contain homework assignments and will be updated periodically. You may need to Reload/Refresh this page.
Assignments must be dropped in the course mailbox by the north elevators of the 5th floor of the Ross Building.

 DUE SECTION EXERCISES Assignment #1: Wednesday, Sept. 24, Appendix  I vii, viii, x, xi, xii, xiii 2003 at 2pm 1.1 2, 3, 7 1.3 4, 5, 6, 9, 10. Assignment #2: Wednesday, Oct. 08, 1.4 4, 5, 6, 7, 8, 12 2003 at 2pm 1.5 2, 3, 5 (a)-(d). Assignment #3: Monday, October 20, 1.6 4, 6, 7, 8 2003 at 4pm 2.1 2, 6, 7 4.1 3 (a), (b), (c); 12 (b). Assignment #4: Wednesday, Nov. 05, 2.2 6, 8, 9, 12 2003 at 3pm 4.4 4, 10(b) 4.5 5, 6 (a), (b). Assignment #5: Wednesday, Nov. 19, 4.5 6(c) 2003 at 3pm 4.1 3 (e), 4 (a), (b), (c), 9 3.2 5, 8, 11, 13 (a), (b), (c), (e), 14. Assignment #6: Friday, Nov. 28, 3.3 2, 3, 5, 17, 20, 23 2003 at 3pm 2.4 5, 6, 7 Assignment #7: Thursday, Dec. 04, 3.1 4, 6, 15 (a), (b), (c) 2003 at 3pm 3.4 5, 8 4.2 1, 4

Note 1: Students are permitted to discuss assignments with each other, but every student must hand in her or his own solutions.
Note 2: You have to print your name and student number, and in particular, you have to underline your family name.

### Exams Information

#### Lecture/Test Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For quizzes and exams digital dictionaries, palms, cell phones, pagers or other electronic devices are not allowed. All such devices as well as all books, papers, knapsacks, and briefcases must be left at the front of the lecture hall. Anyone caught with electronic devices will be charged with Academic Dishonesty (see next page). The only items you may have at your seat are pens, pencils, student ID, calculators, purses and coats.
You are responsible for all material covered in lectures.
Note: Photo identification and signing-in are required at all quizzes and examinations.

The composition of the final grade is as follows:
Assignments (roughly biweekly)        :  12%
Quizzes
(2 for 25 minutes each)         :  10%  (Friday, October 3 and Friday, November 21, 2003)
Midterm Exam
(50 minute written exam held in the lecture period)            :           25% (Wednesday, October 29, 2003)
Final Examination
(3-hour exam scheduled by the Registrar's Office)        :   50% (Tuesday, December 16, 2003)
Participation:   3%
(determined by attendance).

No late assignments will normally be accepted, but everybody's worst assignment mark will be dropped.
All assignment, quiz and exam marks should be interpreted as row scores and not "percentages". The statistics of scores will be announced for both the midterm and quizzes. Cut-off will be announced for converting midterm scores into letter grades.

Make-up Policy:

No permission will be given to a student to write quizzes or exam in advance of their scheduled dates. No make-ups will be done for the quizzes or midterm exam.  Missed exams and quizzes will be counted as zero, except under extreme circumstances. If you miss one of the quizzes or midterm exam  and provide a medical certificate showing a physical incapability of writing in-class exams, the corresponding percentage of the final grade will be "forwarded" to the final exam. However, missing exams is extremely dangerous and not recommended. As experience has shown, students who miss in-class exams because of some ?mysterious illnesses? will usually average 30% on the final exam. A student who misses the Final Examination will be allowed to write a make up exam only if both of the following conditions are met:
1)      the student notifies me (raguimov@mathstat.yorku.ca) or the Department of   Mathematics and Statistics (Undergraduate Office, N502/N503 Ross Building, 416-736-2100 ext. 55902) in advance that the exam will be missed.
2)      The student provides a medical certificate showing a physical incapability of writing the exam.
Students who miss the Final Examination and do not meet both conditions will receive a grade of F.
Note: Do not make vacation/job plan until the final exam date is known: having a plane ticket for Hawaii or Las Vegas on December 15 is NOT a legitimate excuse for absence from a final exam on December 18.

Religious Observance:

York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. If any of the dates specified in the course schedule for in-class tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) by September 19, 2003. Please note that if the final exam date poses a conflict, students must complete an Examination Accommodation Form, which can be obtained from the Registrar’s Office.

Conduct that violates the ethical or legal standards of the university community or of one’s programme or specialization may result in serious consequences. Refer to the Senate Policy on Academic Honesty, which is found on pp. 77-81 in the “2002-2003 University Calendar”.

#### Communication

Individual questions can be discussed by e-mail, or in person after class, or during office hours. Please send all e-mail notes as plain text within the body of the message. Do not send attachments nor HTML-formatted mail. Also, if the name of your account is an alias, I will not know who the mail is from unless you sign it; it also risks being accidentally discarded as junk mail.  The course web page will be up-dated regularly to include important announcements made in class, such as the material to be covered on the exams and quizzes. Email notes requesting such information contained on the web page will be answered the last