Spring 2021: Probability

MAT-135A (Section A): MWF 1100-1150 AM                                  Join via Zoom on Canvas

Discussions: T 0510-0600 PM and 0710-0800 PM                                           

TA: Joshua Sumpter     (jsumpter AT math.ucdavis.edu)                                 

MAT-135A (Section B): MWF 0410-0500 PM                                  Join via Zoom on Canvas

Discussions: R 0610-0700 PM and 0710-0800 PM                                              

TA:  Austin Tran     (austran AT ucdavis.edu)          


PREREQUISITES: An excellent knowledge of calculus and the ability to understand a mathematical proof (i.e., courses 21ABC and, 25 or 108). You are responsible for satisfying the prerequisites!

TEACHER OFFICE HOURS: (I do not reply any emails on weekends) W 0840-1030 AM           Use the following zoom meeting room:

TEXTBOOKLecture notes of Professor Gravner. [pdf]

SECTIONS TO BE COVERED: The core consists of Sections 1 to 8. If time allows, some topics from Sections 9, 10 or 11 as well.


LECTURE NOTES and Homeworks: You may write your own or download the lecture notes:

  1. Week 1:     MAR29(Go to Canvas->Files)        MAR31       APR02                        HW1  Due: April 7th
  2. Week 2:     APR05                                                APR07        APR09                       HW2
  3. Week 3:     APR12                                                APR14        APR16                        HW3
  4. Week 4:      Mt1                                                   APR21         APR23
  5. Week 5:      APR26                                             APR28        APR30                         HW4
  6. Week 6:      MAY03                                            MAY05       MAY07                        HW5
  7. Week 7:       Mt2                                                 MAY12        MAY14
  8. Week 8:       MAY17                                           MAY19       MAY21                         HW6
  9. Week 9:       MAY24                                         MAY26        MAY28                      HW7
  10. Week 10:     Holiday                                      JUN02Mt3               



OPTIONAL READING: (For examples and exercises)

  • A First Course in Probability, 10th Ed. by Sheldon Ross.
  • Probability and Random Processes, 3rd Edition by Geoffrey R. Grimmett and David R. Stirzaker; Oxford University Press.

GRADE: We will use Canvas for grading. Course grade will be based on the following:

  • TakeHome Midterm 1  (Monday, April 19,   during class time):                                                 100 points
  • TakeHome Midterm 2  (Monday May 10,      during class time):                                                 100 points
  • TakeHome Midterm 3  (Wednesday June 2,   during class time):                                                 100 points
  • There will be NO Final Exam (Details of exam administration will be announced before each exam.)
  • TOTAL: 300 points.

HOMEWORKS:  Consists of 7 lists of problems posted above; they will NOT be collected. Solutions to some problems will be posted.

Grading curve: There could be +s and -s

  • 0-44%: F
  • 45-54%: D
  • 55-74%: C
  • 75-89%: B
  • 90-100%: A



Use of books, calculators, or anything else but pencil and paper, will not be allowed in the exams (you will sign the Honor Statement and any suspect of cheating will be punished).

Talking, texting, newspaper reading, etc. disrupt the lectures, use electronic devices for non-academic purposes during lectures is prohibited.

If you have any problem at all that requires special accomodation, please let me know well in advance!

There will be no make-up exams. A missed exam counts as 0 points. The grade I (Incomplete) will not be given in any circumstances.



By signing this statement, I hereby declare that I solved this exam by my own, without any external collaboration (like friends, internet solutions, etc). If needed, I am allowed use my own lecture notes only. I understand that the main purpose of this exam is to show how much I have learned in this course, holding myself to a high standard of academic integrity, and that suspected misconduct on this exam will be reported to the Office of Student Support and Judicial Affairs and, if established, will result in disciplinary sanctions up through Dismissal from the University and a grade penalty up to a grade of ‘F’ for the course.



  • Tutoring resources available through the AATC  [link]  
  • Resource FAQ for Students.  (Information for students on general academic resources, health and wellness, careers/internships, and community resources).
  • Buses:     Unitrans.       Yolobus.