MATH 4510-100, Probability

(last updated: 10:00am, 6/30/22)

Basic Info

MATH 4510/5510, Section 100, Summer 2022, Term A
Instructor: Alexander Nita
Venue: M-F 11:10 AM - 12:45 PM, ECCR 135
Office: MATH 140, W,Th 1-2pm
Email: alexander.nita@colorado.edu
Office Hours: Wed/Th 1-2 PM

Course Description

Required Text

Supplementary Texts

Supplementary Secondary Historical Texts

Supplementary Primary Historical Texts

Supplementary Philosophical Texts

Supplementary Texts on Relations to Technology and Economics

Grading: Your grade will be computed as follows:

  • Homework: 30% (best 4 of 5)
  • Quizzes: 10% (best 4 of 5)
  • Activities 10% (best 4 of 5)
  • Midterm Exam: 20%
  • Final Exam: 30%

The midterm will be take place during scheduled class time on Wednesday, June 15. The final exam will take place during scheduled class time on Friday, July 1, 2022. Homework will be collected on the due dates in our schedule: you will submit them in class. Quizzes will be administered during class time on the scheduled quiz days.

No makeup exams and no makeup quizzes will be allowed, without proper documentation. Let's make this class run smoothly, because there is a lot to cover and timeliness is of the essence! The official policy is the following: If you know that you are going to miss an exam or cannot take the final exam at the scheduled time, please notify me, your instructor, at least two classes in advance. If you miss the midterm exam for any acceptable reason (e.g. religious obligation, documented illness), and with the prior approval noted above, that midterm exam score will be replaced by your score on the final exam. If you miss the final exam and have not rescheduled it in advance, you will score zero on the final or receive an incomplete in the course, depending on the circumstances. You may not reschedule a final exam after the exam has started. In order to be excused from an exam for medical reasons, you must either produce a note from a doctor, or you must obtain prior permission from the instructor to miss the exam. Self diagnosis and self medication are not acceptable for this purpose.

Homework: Red homework problems will be graded (see Homework tab). The other homework problems need not be turned in, but all assigned problems are considered fair game for quizzes and exams. This course will be based 100% on our course textbook, which is mostly problems. Much of the theory is left as problems. I myself will work many problems, both in lecture and in 'problem sessions' held on ZOOM during class time. There are way too many problems in there for our short five week timeframe. Therefore, let us look at these homeworks as the foundation of this course. The graded problems are but the tip of the iceberg. The full extent of the subject will need much more work and devotion than that. The ideal for us is to work as many problems as possible, for with each worked problem we advance a mile into the conceptual territory we should wish to map out.

You are allowed to use the internet and other resources (e.g. the recommended supplementary books). However! First of all, you must cite your sources when you use them. If you outright copy a solution or a proof, you are required to confess to the fact, and it will cost you a point (it remains to be determined exactly how I'll score the homeworks, but suffice it to say I'll give you roughly a 20% discount). I encourage you all to work together on homeworks, maybe even divide up the problems into smaller groups and then get together to share solutions. We'll discuss strategies in class.

No late homework will be accepted, to help develop regularity of habits, as well as to make everybody's lives more bearable--we are on a tight schedule of five weeks! I will drop your lowest homework score to counterbalance, and I will also do the same with quizzes.

Students With Disabilities: If you qualify for accommodations because of a disability, please submit your accommodation letter from Disability Services to your faculty member in a timely manner (at least one week before the exam) so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities in the academic environment. Information on requesting accommodations is located on the Disability Services website www.colorado.edu/disabilityservices/students. Contact Disability Services at 303-492-8671 or dsinfo@colorado.edu for further assistance. If you have a temporary medical condition or injury, see Temporary Medical Conditions under the Students tab on the Disability Services website and discuss your needs with your professor.

Student Classroom and Course-Related Behavior: 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. Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with race, color, national origin, sex, pregnancy, age, disability, creed, religion, sexual orientation, gender identity, gender expression, veteran status, political affiliation or political philosophy. Class rosters are provided to the instructor 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. For more information, see the policies on classroom behavior and the Student Code of Conduct.

Statement on Discrimination and Harassment: The University of Colorado Boulder (CU Boulder) is committed to fostering a positive and welcoming learning, working, and living environment. CU Boulder will not tolerate acts of sexual misconduct intimate partner abuse (including dating or domestic violence), stalking, protected-class discrimination or harassment by members of our community. Individuals who believe they have been subject to misconduct or retaliatory actions for reporting a concern should contact the Office of Institutional Equity and Compliance (OIEC) at 303-492-2127 or cureport@colorado.edu. Information about the OIEC, university policies, anonymous reporting, and the campus resources can be found on the OIEC website.

Honor Code: All students enrolled in a University of Colorado Boulder course are responsible for knowing and adhering to the academic integrity policy. Violations of the policy may include: plagiarism, cheating, fabrication, lying, bribery, threat, unauthorized access to academic materials, clicker fraud, submitting the same or similar work in more than one course without permission from all course instructors involved, and aiding academic dishonesty. Incidents of academic misconduct may be reported to the Honor Code Council (honor@colorado.edu; 303-735-2273). Students who are found responsible for violating the academic integrity policy will be subject to nonacademic sanctions from the Honor Code Council as well as academic sanctions from the faculty member. Additional information regarding the academic integrity policy can be found at the Honor Code Office website.

Week \\ Day M Tu W Th F
1 - 5/30 - Memorial Day
(No Class)

- 5/31 -
  • Intro                

  • - 6/1 -
  • 1.1-1.6                

  • - 6/2 -
  • 2.1-2.4                

  • - 6/3 -
  • 2.5-2.6
  • Quiz 1

  • 2 - 6/6 -
  • 3.1-3.3
  • Activity 1               
  • HW 1 due
  • - 6/7 -
  • 3.4-3.5


  • - 6/8 -
  • 4.1-4.5                

  • - 6/9 -
  • 4.6
  • Activity 2

  •      - 6/10 -
  • 4.7-4.10
  • HW 2 due                
  • Quiz 2
  • 3 - 6/13 -
  • 5.1-5.4                

  • - 6/14 -
  • 5.5-5.7
  • Activity 3                
  • Review
  • - 6/15 -
  • Midterm       


  • - 6/16 -
  • 6.1-6.3


  • 6/17 -
  • 6.4-6.5, 6.7
  • HW 3 due
  • Quiz 3
  • 4 - 6/20 -
  • 7.1-7.3                

  • - 6/21 -
  • 7.4-7.5                

  • - 6/22 -
  • 7.6-7.9
  • Activity 4                

  • - 6/23 -
  • 8.1-8.3                

  •      - 6/24 -
  • 8.4-8.6
  • HW 4 due                
  • Quiz 4
  • 5 - 6/27 -
  • 9.1-9.2                

  • - 6/28 -
  • 9.3-9.4                

  • - 6/29 -
  • Activity 5
  • HW 5 due               
  • Review
  • - 6/30 -
  • Review
  • Quiz 5                

  • 7/1 -
  • Final             

  • Homework 1 (due Mon 6/6):
    (Graded problems in red.)
    Chapter 1 Problems: 5, 15, 17, 20, 24, 26, 8d, 16, 21
    Chapter 1 Theoretical Problems: 5, 6, 12a, 13, 8, 9, 12b,c, 18-20

    Homework 2 (due Friday 6/10):
    (Graded problems in red.)
    Chapter 2 Problems: 3, 12a-c, 15a-e, 20, 23, 29a-c, 36a-b, 42, 2, 17, 18, 25, 28, 41, 46, 47, 50
    Chapter 2 Theoretical Problems: 11, 12, 16, 10, 13, 14

    Homework 3 (due Monday 6/20):
    (Graded problems in red.)
    Chapter 3 Problems: 5, 8, 22(a)-(c), 59, 28(a)-(b), 29, 33(a)-(b), 45
    Chapter 3 Theoretical Problems: 5(a)-(b), 6, 13, 14
    Chapter 4 Problems: 2, 14, 17, 28, 40, 3, 7, 27, 56

    Homework 4 (due Friday 6/24):
    (Graded problems in red.)
    Chapter 4 Problems: 41, 58, 69(a)-(b), 55, 62
    Chapter 4 Theoretical Problems: 19, 2, 17, 20, 21, 36(a)-(e)
    Chapter 5 Problems: 1, 3, 10, 19, 2, 4, 28
    Chapter 5 Theoretical Problems: 2, 3, 4, 5, 12

    Homework 5 (due Friday 7/1):
    (Graded problems in red.)
    Chapter 6 Problems: 3, 9(a)-(d), 36, 39, 8(a)-(c), 12, 13, 17, 18, 26,
    Chapter 6 Theoretical Problems: 6, 15, 16
    Chapter 7 Problems: 10, 37 4(a)-(c), 6, 9, 11, 12, 36