Math 3090 – Mathematical Probability

Lecture Time: 4:00pm  5:50pm (TR) Location: Knudson Hall 301

Textbook: Ross, A First Course in Probability 9th Ed.
Prerequisite: Math 2080 and Math 3080

Instructor: Mei Yin
Office and Office Hours: Zoom, 10:30am  12:00pm & 2:30pm  4:00pm (W), or by appointment

Lecture Schedule: Here is a plan of the course (may be altered for pedagogical reasons as the course develops).

Ch. 6: Jointly Distributed Random Variables
2 weeks
Ch. 7: Properties of Expectation
5 weeks
Ch. 8: Limit Theorems
2 weeks
Ch. 9: Additional Topics in Probability
1 week

Course Description: Topics of study will include limit theorems for independent random variables, multivariate distributions, and generating functions.

Tentative Calendar:

The Week Of
Material Covered
January 3  January 6
Introduction, 6.1, 6.2, 6.3
January 9  January 13
6.4, 6.5
January 17 January 20
6.7, 7.1, 7.2
January 23  January 27
7.3, 7.4, 7.5
January 30  February 3
7.6, Review
February 6 – February 10
Midterm, 7.7
February 13 February 17
7.8, 7.9, 8.1
February 20 February 24
8.2, 8.3, 8.4
February 27  March 3
8.5, 8.6, 9.1
March 6 March 10
9.2, 9.3, 9.4
March 14
Final Project Presentation

Grading: Your final grade for the course will be determined based on a numerical weighted average calculated as follows: Homework 30% Midterm 30% Final Project 40%. This average percentage will then be converted into a final letter grade based partially on how other students perform this quarter, and partially on typical percentage grades from previous quarters of the course.

Homework will be assigned about once a week. Homework should be turned in via Canvas and the due date is every Tuesday at the beginning of the class. For submitted problems, students are expected to show work and justify their answers. The six highest homework scores will contribute to 30% of your final grade.

A midterm is scheduled during class time on Tuesday, February 7. A final project presentation is scheduled for Tuesday, March 14. The final project may be targeted towards either the theoretical or the applied aspect of probability. Makeup exams and presentations will only be offered in the event of extreme circumstances. If you think you have a problem which will force you to miss the exam and/or the presentation, please come talk to me as soon as possible.

Help: Additional handouts will be distributed throughout the quarter. Students are also encouraged to ask for individualized help from the instructor at any time.

Students with Disabilities: If you qualify for academic accommodations because of a disability or medical issue, please submit a faculty letter to me from Disability Services Program (DSP) in a timely manner so that your needs may be addressed. DSP determines accommodations based on documented disabilities/medical issues. DSP is located in Suite 22 on the lower level of Driscoll South, 303-871-2278. Information is also available online at; see the Handbook for Students with Disabilities.

Honor Code: Follow the Honor Code in all activities related to this course. Incidents of academic misconduct will be reported to and investigated by the Office of Student Conduct.

Religious Accommodations: University policy grants students excused absences from class or other organized activities for observance of religious holy days, unless the accommodation would create an undue hardship. Faculty are asked to be responsive to requests when students contact them in advance to request such an excused absence. Students are responsible for completing assignments given during their absence, but should be given an opportunity to make up work missed because of religious observance. Once a student has registered for a class, the student is expected to examine the course syllabus for potential conflicts with holy days and to notify the instructor by the end of the first week of classes of any conflicts that may require an absence (including any required additional preparation/travel time). The student is also expected to remind the faculty member in advance of the missed class, and to make arrangements in advance (with the faculty member) to make up any missed work or in-class material within a reasonable amount of time.

Other: Check the DU academic calendar for important dates throughout the quarter:

Note: Homework assignments on this page are subject to change, and updates will be posted on Canvas.

Work the following homework problems at the appropriate time.

Chapter #
Theoretical Exercises
2, 6, 7, 14, 15, 18, 19, 23, 24, 28, 30
5, 6, 9
3, 8, 9, 10, 13, 18, 21, 22, 25, 38, 45
50, 54
2, 3, 7, 11, 15, 16
4, 9
2, 4, 6, 8, 12
1, 2