Math 241


(Last updated Thursday, Feb. 25, 2021 at 2:45pm)

Meetings

The first class meeting will be on Monday, February 1 at 1:40pm.

After the first week of class, we will use Monday's class time as an office hour meeting 1:40–2:40pm and we will have a live class session on Wednesdays 1:40–2:40pm.

All meetings will occur on Zoom (Zoom Link).

Materials

https://sites.google.com/a/qc.cuny.edu/qc-math-lab-online-tutoring/Please check that page frequently, as information there is subject to change at any time!In order to view that page, you MUST sign-in using your Queens College e-mail / CAMS account:On the first [Google sign-in] page, use your e-MAIL ADDRESS (including @qc.cuny.edu)On the second [Queens College log-in] page, give just your USER NAME (without @qc.cuny.edu), and your password.

Week 5 (3/1--3/5)

  • Reading: the Binomial Probabilities and Binomial Distribution subsections of Section 3.2.

  • Video 1 (Notes) --- Watch by Wednesday, March 3

Go over some conditional probability examples. Introduce Bernoulii trials processes, prove a formula, and do an example.

Week 4 (2/22--2/26)

  • Reading: Section 4.1 (Do not read the subsections dealing with Baye's probability and Baye's formula, those are for next week).

  • Video 1 (Notes)

Introduce conditional probability and independence. Introduce joint random variables, and use this to introduce the notion of an independent trials process.
  • Quiz 2 --- Due Thursday, February 25

Due to the irregular schedule last week, you have an extra day to complete this week's quiz, so that we can have our live session before its due date.Went over example problems involving permutations and combinations.

Week 3 (2/15--2/19)

  • Schedule Change Notice: The college is closed on Monday in observance of President's day. Office hours on Monday are cancelled, but Wednesday's class time will be treated as an office hour. Quiz 1 will be handed out on Wednesday at 3pm and will be due anytime on Friday. There is only one video for this week, since we would have lost a day during a regular in-person class.

  • Read the Poker Hands subsection of Section 3.2.

  • Video 1 (Notes) --- Watch by end of the week

Introduce the notion of combinations and derive basic formulae. Go over examples, including introducing poker hands.Make sure to read the Quiz Guide. Quiz 1 will covers the same material as Assignment 1.

Week 2 (2/8--2/12)

  • Read Section 1.2 pages 18--29. Makes sure to read the subsection labelled Odds. I won't go over this in class, but I expect you to know it.

  • Read Section 3.1 through subsection Permutations.

  • Many of the sections in the book end with a subsection entitled Historical Remarks. These subsections are never mandatory reading, but they are really interesting.

  • Video 1 (Notes) --- Watch by Wednesday, February 10

Continue discussion probability distribution functions. We give an example of an infinite discrete sample space with a probability distribution function. We end with discussing several properties of probability distribution functions.We cover section 3.1 in the text. We discuss a basic counting technique and go over permutations.Briefly introduced the notion of a random variable and then discussed counting and permutations. We went over the Birthday Problem (and found that two people had their birthday that day!).

Week 1 (2/1--2/5)

This PBS video does a nice job of explaining random walks, a cool phenomenon having many real-world applications; it is a nice foreshadowing of many of the topics that will appear in the class.The video starts with a short discussion of the course and then goes over basic set theory definitions that will be used throughout the course.We go over many of the basic definitions for discrete probability and discuss examples of probability distribution functions. Covers portions of Section 1.2 in the textbook.