MATH 350: Probability

 

Fall 2024

 

 

Course Syllabus and Class Policies

 

 

1.     Major Course Topics:

·     Introduction to Probability; Discrete and Continuous Distributions; Simulations

·     Combinatorics

·     Conditional Probability

·     Basic Distributions and Densities

·     Expected Value; Variance; Moments

·     Sums of Random Variables

·     Law of Large Numbers

·     Central Limit Theorem

·     Generating Functions

The tentative detailed schedule of the course can be found at http://home.sandiego.edu/~pruski/m350f24schedule.html .

 

2.     Course Learning Outcomes:

·     Students will demonstrate a working knowledge of probability topics. This includes knowledge of theorems with complete assumptions.

·     Students will demonstrate the ability to use methods of probability theory and perform probability computations accurately and efficiently.

·     Students will demonstrate the ability to solve problems, including applications outside of mathematics.

·     Students will be able to construct simple proofs independently.

·     Students will demonstrate the ability to communicate mathematical ideas clearly.

 

3.     Regular attendance is really necessary. It is quite difficult to catch up with the material when you miss a class. It becomes virtually impossible, if you miss several classes.

 

4.     A student is supposed to spend at least two hours at home for each class hour. Thus, you should expect spending at least 6 hours a week (more likely about 7-8 hours) doing your homework and preparing for quizzes/exams.

 

5.     This is an upper-division mathematics course, so we will be doing a number of proofs. You will be expected to do some proofs in your homework assignments as well as during exams.

 

6.     We will follow the textbook closely: C.M. Grinstead, J.L. Snell, Introduction to Probability, Second Revised Edition (Chapters 1 - 10). The paperbound version of the text is available from the AMS Bookstore (https://bookstore.ams.org/iprob/ ) , but the text "has now been made freely redistributable under the terms of the GNU Free Documentation License (FDL), as published by the Free Software Foundation. Briefly stated, the FDL permits you to do whatever you like with a work, as long as you don't prevent anyone else from doing what they like with it. This is the same license that is used for the Wikipedia."

 

7.     Office hours:

 

Monday

11:15 - 12:15

Wednesday

1:20 - 2:20

Thursday

12:00 - 2:00

Friday

1:20 - 2:20

 

and at other times, by appointment.

 

8.     Contact: The best way to contact me is by using e-mail (pruski@sandiego.edu). I read e-mail many times during the day and night, except for one or two weekends when I am out of town.

 

9.     A primitive webpage for the course is at http://home.sandiego.edu/~pruski/m350f24.html You should check the webpage daily for assignments, announcements, and links.

 

10.  Homework Assignments will be assigned and collected roughly once a week. The assignments will be graded partly on effort. The total homework assignment score will count for 30% of the course grade. No late assignments will be accepted unless you arrange it with me in advance.

 

11.  There will be about 8 - 10 short quizzes. Quiz questions will refer to the recently covered material and to the new material you were supposed to read on your own. Two lowest quiz scores will be dropped, and the remaining scores will count for 25% of the course grade. Quizzes cannot be made up unless you have a valid reason for not taking the quiz and you notify me in advance of your absence.

 

12.  The midterm exam will take place on Friday, October 25, and its score will count for 15% of the course grade. The exam can be made up only if you have an actual emergency and if you notify me in advance about your absence.

 

13.  The final exam (Wednesday, December 18, 2:00 - 4:30) will be cumulative and its score will count for 30% of the course grade.

 

 

 

 

 

 

 

14.  Grading criteria are as follows:

 

Total percentage

Grade

90% and above

A

80% - 90%

B

60% - 80%

C

50% - 60%

D

Of course, pluses and minuses will be used, close to cutoff boundaries.  

Based on recent years' data my grade distributions are close to the departmental average.

 

15. The Mathematics and Computer Science Department strongly promotes Academic Integrity. I hope issues related to academic integrity will not arise in our course. There have been some cases of cheating in math courses in the past – mainly the cases of submitting someone else’s work as well as cases of cheating during exams. Depending on the severity of the case, the possible consequences include: assigning the score of 0 on the given assignment, lowering the course grade, or even assigning an F in the course. The USD academic integrity policy can be found at https://www.sandiego.edu/conduct/documents/Honor-Code.pdf). 

 

16. Accommodations: Any student with a documented disability needing academic adjustments or accommodations is requested to speak with me during the first two weeks of class. All discussions will remain confidential. A student attempting to access Disability Services for the first time should begin by contacting the Disability and Learning Difference Resource Center (DLDRC) in SH, Room 300 (619/260-4655), e-mail: disabilityservices@sandiego.edu , website: www.sandiego.edu/disability/  It is the student's responsibility to schedule an "intake" meeting with the DLDRC Director as soon as possible. 

 

17.  If you feel sick, please stay home to keep others healthy. The following USD resources offer help to navigate the pandemic times:

· Student Health Center: https://www.sandiego.edu/health-center (non-urgent email: usdhealthcenter@sandiego.edu)

· MyWellness Portal: https://mywellness.sandiego.edu/