Welcome to Probability!
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8/27: In Person Learning Today! Live Stream and/or Zoom Links Are On The Help Page - FINALIZED
You are encouraged to use my office hours (Zoom or in person) for help on the homework. However, you may not ask questions over homework on the day that the assignment is due.
Do NOT assume that any assignment beyond today's is correct! I often change them the day of class. When you see the word FINALIZED in the first line, I've reviewed the assignment, checked the links, and I'm reasonably confident that it will not change.
Reading Assignment Due Before Class On 8/29. There is nothing to turn in for reading assignments, but the material could appear on quizzes. Complete all of these readings before class on Friday!
* Read the course introduction (syllabus) at this link. This document contains
information that you may need to know. Some of it could appear on
an online quiz.
* Read the Carthage Academic Dishonesty Guidelines. There is a link at the top of this page.
* Check the blog (see the link on the left side of this page) for updates. You should check the blog every day. I will provide homework hints, comments on how our class went, and more!
* Read this one-page keys to success document.
* Read this page on homework expectations.
* Read Section A.1 in this handout on set theory notation.
Homework Assignment Due Before Class On 8/29
* Take this brief background survey. (Yes, this is required, and you will receive credit for doing it!) You will need to log in to your Carthage
account.
* Check the blog (see the link on the left side of this page) for updates. You should check the blog every day. I will provide homework hints, comments on how our class went, and more!
Homework Assignment Which You Need to Complete Before class On 9/3.
* Read the review of set notation on the Help Page. You will need the user name and password to read this document.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 8/29.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) The Multiplication Rule
(2) Indistinguishable Items
(3) Story Proofs
(4) Combinations
(5) The Binomial Theorem
(6) Watch this video produced by Arizona State University. It could increase your grade significantly! You could also listen to this radio program. You can read the article, or click on the blue "Listen" button on the left side of the page. You can read the text as well, but listening might be more effective.
* While you are watching the videos or immediately after watching the videos, take this quiz. This will count as an online quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* Sign up for your free MAA membership at this link.
Today's Video Quiz for Class Use. Take the quiz at the link above.
8/29: In Person Learning Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/5.
* Read Sections 1.1-1.4 in BH. You need to read example 1.4.20, but you may stop there. We will go over Examples 1.4.21 and 1.4.22 in class. Pay particular attention to the methods used to solve the problems in the examples.
* Do exercises 2, 6, 10 from Chapter 1 of BH (Section 1.9, page 33). Write or type your solutions on a paper that you can turn in at the beginning of class on the due date.
* Prove algebraically that \({n \choose j} = {{n-1} \choose j} + {{n-1} \choose {j - 1}}\). (The text gives you a story proof.)
Or, do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/3.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) The General Definition of Probability
(2) Inclusion-Exclusion
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* None
Today's Video Quiz For Class Use. Take the quiz at the link above.
Optional: Sign up for your free MAA membership at this link.
9/1: Labor Day - No Class Today
9/3: In Person Learning Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/8.
* Read Section 1.6. You may skip Example 1.6.4 - we will cover that in class.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/5.
* Instead of watching videos, do at least one of the following so you are ready to write code in class on Friday. Doing more than one could be beneficial. We might also use Excel or another spreadsheet to solve some problems.
(1) Install Mathematica on your computer. Directions are here: https://www.carthage.edu/academics/library/computer-technology-services/mathematica/
(2) Activate your Mathematica Online account through wolfram.com.
(3) Install R Studio on your computer. Here are instructions, thanks to Dr. Wheeler!
(4) Have some reasonable computer language (Python, C++, etc) installed on your computer.
Optional Assignment(s)
* Nothing yet.
9/5: In Person Learning Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/10.
* Read Sections 1.5-1.7 in BH.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/8.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) No new videos today.
Optional Material
* Feel free to look in other probability books for more information, but don't look online!
9/8: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/12.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/10.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) A Technique for Card Dealing Problems
* While you are watching the videos, take this quiz.
Optional material
* Nothing yet.
9/10: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/15.
* Read Section 1.8 in BH.
* Do the exercises on this handout.
Required Assignment To Do Before Class on 9/12.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) No additional videos today. Make sure that you have access to Mathematica, Python, or R for Friday's class, abd bring a computer to class if you can.
Optional Assignment(s)
* None right now.
9/12: In-Person Instruction. - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/17.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/15.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
* No new videos today, but your assignment is to review the code we examined in class today and decide with language(s) you're going to use as your go-to language.
Optional Material
* None
9/15: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/19.
* Do the exercises on this handout. Make a copy of the document for yourself, type your answers into the document, then print your document or send it to me via email.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/17.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) The Definition of Conditional Probabiility
(2) Drawing Poker Chips (Note that \(W_1\) = white first got cut off the top of the screen - sorry about that!) (Also a typo - that 57 in the denominator should be 56! I fixed it, but...)
(3) Poker Chips and Conditional Probability
(4) Different Information Leads to Different Probabilities
(5) Strange Information is Still Information
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
* Nothing
9/17: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/24.
* Read sections 2.1 and 2.2 in BH (our text).
* Do the exercises on this worksheet.
Required Assignment To Do Before Class on 9/19.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) No new videos today. If you want to get ahead, you could watch Friday's videos now to avoid having to watch videos over the weekend!
Optional Assignment(s)
* As noted above, you could watch Friday's videos.
9/19: In-Person Instruction Today! - FINALIZED
We will keep class short today to make sure we have time to review a bit for the exam on Monday.
Homework Assignment Which You Need to Complete Before class On 9/26.
* Do the exercises on this worksheet. The videos assigned today will help with one of these problems!
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/24.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Bayes' Rule
(2) Total Probability
(3) Fair and Weighted Dice
(4) Rare Diseases and Trees
(5) Rare Diseases and Tables
(6) Rare Diseases and Bayes' Rule
While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* Ask your doctor if they understand conditional probability!
9/22: In-Person Instruction Today! - FINALIZED - EXAM 1 TODAY!
The exam will cover the material we discussed in class from 8/27-9/17 (conditional probability will be on this exam). No homework is due today. You will have the entire class period to take the exam. The exam will be open notes.
Please use the restroom before the exam.
You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Norse code (used to communicate with Vikings), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource.
9/24: In Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 9/29.
* Read Section 2.3 in BH.
* Do the exercises on this worksheet.
Required Assignment To Do Before Class on 9/26.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) No new videos today.
Optional Assignment(s)
* Nothing right now.
9/26: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/1.
* Do the exercises on this worksheet.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 9/29.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Rolling the Die Again
(2) Definition of Independence
(3) Getting a Second Test
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* Nothing yet.
9/29: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/3.
* Skim Sections 2.4, 2.5, and 2.6 in BH. Get the big concepts, not all of the details.
* Do the exercises on this worksheet.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/1.
* With the handout available either printed or online, watch these videos. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos.
(1) Simpson's Paradox
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
10/1: In-Person Instruction Today! - . FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/6.
* Read the rest of Chapter 2.
* Do the exercises on this worksheet.
Required Assignment To Do Before Class on 10/3.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Random Variables
(2) Probability Mass Functions
(3) Cumulative Distribution Functions
(4) Eating A Few Jelly Beans
(5) Eating Lot of Jelly Beans
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Assignment(s)
* None
10/3: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/8.
* Read Sections 3.1, 3.2, and 3.6 in BH, ignoring any references in 3.6 to distributions we haven't discussed yet, like the binomial distribution.
* Do the exercises on this worksheet.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/6.
* With the handout available either printed or online, watch these videos. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos.
(1) The Song I Played Last Class (you don't need to watch this again unless you want to do so.)
(2) Bernoulli Trials
(3) The Binomial Distribution
(4) Two Examples
(5) Some Computer Help
(6) Two More Examples
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* None.
10/6: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/13.
* Read Section 3.3 in BH.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/8.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) The Hypergeometric Distribution
(2) The First Example
(3) Using Different Tags
(4) The Discrete Uniform Distribution
(5) Now Without Replacement
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
* None
10/8: In Person Instruction - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/15.
* Read Sections 3.4 and 3.5 in BH.
* Do the exercises on this worksheet.
Required Assignment To Do Before Class on 10/13.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) No additional videos today.
Optional Assignment(s)
* Nothing right now.
10/10: No Class Today! I will be out of town. Enjoy the day off! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/15.
* Keep working on the assignments given this week!
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/13.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Watch your favorite youtube video.
* While you are watching the video, relax by the lake.
Optional Material
* Relaxation is not optional.
10/13: In-Person Instruction - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/20.
* Do the exercises on this worksheet.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/15.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Transformations of Random Variables
(2) Maximum of Two Random Variables, Independence of Two Random Variables
(3) Connections Between Distributions
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
* Nothing right now.
10/15: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/22.
* Do the exercises on this worksheet.
Required Assignment To Do Before Class on 10/20.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Two Examples
(2) Definition of Expected Value
(3) Expected Values and Transformations
(4) Linearity
(5) Expected Values for the Binomial and Hypergeometric
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Assignment(s)
* None today.
10/16: NO CLASS - FALL BREAK
10/17: NO CLASS - FALL BREAK
10/20: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/24.
* Read Sections 4.1-4.2 and 4.5 in BH.
* Do these exercises.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/22.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Useful Series
(2) The Geometric and First Success Distributions
(3) The Negative Binomial and rth Success Distributions
(4) Examples
(5) Completing the Puzzle (I said geometric in this video, but it's really a first success. Sorry abou that!)
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
* None
10/22: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/31. NOTE EXTENDED DUE DATE!
* Read Section 4.3 in BH.
* Do these exercises.
Required Assignment To Do Before Class on 10/24.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) None
Optional Assignment(s)
* Nothing. Study for the exam.
10/24: In-Person Instruction Today! - Exam Review Day - FINALIZED
Homework Assignment Which You Need to Complete Before class On 10/31. Work on assignment given last class!
* No additional assignment today.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 10/29.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Definition of Variance
(2) Variance of Named Distributions
(3) The Hypergeomatric and the Negative Binomial
(4) The Poisson Distribution (There is a typo in the notes in the video. \(E(X^2)=\lambda (1+\lambda)\). I've fixed this in the handout.)
(5) A Poisson Example
(6) A Bonus Example (Of course, in the last part, \(\text{Var}(X^2)=E(X^4)-E(X^2)^2\).
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* None
10/27: In-Person Instruction Today! - EXAM 2 TODAY! - FINALIZED
The exam will cover the material we discussed in class from 9/17 (Conditional Probability) - 10/20 (Expected Value). No homework is due today. You will have the entire class period to take the exam. The exam will be open notes.
Please use the restroom before the exam.
You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Norse code (used to communicate with Vikings), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource.
10/29: In-Person Instruction Today! - FINALIZED
Homework Assignment Which You Need to Complete Before class On 11/3.
* Read Sections 4.6, 4.7 and 4.8 in BH
* Do these exercises.
Required Assignment To Do Before Class on 10/31.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) None
Optional Assignment(s)
* Noting Yet.
10/31: In Person Instruction - FINALIZED
Homework Assignment Which You Need to Complete Before class On 11/5.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 11/3.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) CDF and pdf for Continuous Random Variables
(2) Properties of a pdf and the Logistic distribution
(3) Two More Continuous Distributions
(4) Expected Value and Variance for a Continuous Random Variable
(5) Transformations of Continuous Random Variables
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* None today.
11/3: In Person Instruction - FINALIZED
Homework Assignment Which You Need to Complete Before class On 11/7.
* Read Sections 5.1-5.3 in BH.
* Do the exercises on this handout.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 11/5.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) None.
* While
Optional material
* Nothing
11/5: In-Person Instruction Today! -
Homework Assignment Which You Need to Complete Before class On 11/10.
* Do
Required Assignment To Do Before Class on 11/7.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) The Exponential Distribution
(2) An Example, Part I
(3) An Example, Part II
(4) The Gamma Distribution
(5) Connections Between the Exponential, Gamma, and Poisson
(6) A Gamma Example
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* None
11/7: In-Person Instruction Today! -
Homework Assignment Which You Need to Complete Before class On 11/12.
* Read Sections 5.5 and 5.6 in BH.
* Do these exercises.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 11/10.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1)
* While
Optional Material
*
11/10: In-Person Instruction -
Homework Assignment Which You Need to Complete Before class On 11/14.
* Do
Required Assignment to Prepare You For Class, To Be Completed Before Class On 11/12.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Markov Chains and the Transition Matrix
(2) The Weather Example
(3) Matrix Multiplication
(4) Different Starting States
(5) Hello Kitty!
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
11/12: In-Person Instruction -
Homework Assignment Which You Need to Complete Before class On 11/17.
* Read Section 11.1 in BH. You can skip the parts about Marginal distributions.
* Do these exercises.
Required Assignment To Do Before Class on 11/14.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1)
* While
Optional Assignment(s)
* Here
11/14: In Person Instruction -
Homework Assignment Which You Need to Complete Before class On 11/19.
* Do
Required Assignment to Prepare You For Class, To Be Completed Before Class On 11/17.
* With the handout available either printed or online, watch these videos. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos.
(1) Recurrent and Transient States
(2) Irreducible and Reducible Markov Chains
(3) Periodic and Aperiodic States
(4) Stationary Distributions
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* None
11/17: In Person Instruction - We will have an integration workshop today! -
Homework Assignment Which You Need to Complete Before class On 11/21.
* Read Section 11.2 in BH.
* Do these exercises.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 11/19.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
These videos were recorded a while back. Ignore any references to things that don't seem relevant to our class.
(1)
* While
Optional material
* Here
11/19: In-Person Instruction -
Homework Assignment Which You Need to Complete Before class On 12/1.
* Do
Required Assignment To Do Before Class on 11/21.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Absorbing Markov Chains
(2) Time Until Absorbtion
(3) Using a Matrix
(4) More Examples
(5) One Useful Command
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Assignment(s)
* This isn't really optional, but if you haven't downloaded Mathematica, you need to create an account on user.wolfram.com so you can use Mathematica online.
11/21: In-Person Instruction -
Homework Assignment Which You Need to Complete Before class On 12/3.
* Read this handout.
* Do these exercises.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 12/1.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1)
* While
Optional Material
* Here
11/24: No Class - Thanksgiving Break
11/26: No Class - Thanksgiving Break
11/28: No Class - Thanksgiving Break
12/1: In Person Instruction -
Homework Assignment Which You Need to Complete Before class On 12/8.
* Do
Required Assignment to Prepare You For Class, To Be Completed Before Class On 12/5.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1) Introduction to the Game Simulator
* While you are watching the videos, take this quiz. This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional material
* None
12/3: In-Person Instruction -
Homework Assignment Which You Need to Complete Before class On 13/-15.
12/5: In-Person Instruction -
Homework Assignment Which You Need to Complete Before class On 12/10.
* Do
12/8: In-Person Instruction - Exam Review Day. This class is optional. All I will be doing is taking questions from you. I will live stream the session as usual. -
12/9: Study Day - Classes do not meet.
12/10: Final Exams
Our final exam is today from class-10:00. This cumulative final exam covers the entire course, including arc length and surface area.
This is an exam, and you should not do anything that you would not do if you were taking the quiz in class in person. You may use the calculator I provide, paper, and a writing utensil. That's all! Make sure that your phones are securely stowed in a zippered compartment in your backpack or placed on the table at the front of the room.
You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Horse code (used to communicate with equestrians), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource whatsoever. You are not permitted to use your notes, your text, any text, HawkesLearning, YourMathLab, AnyoneElsesMathLab, Google, WolframAlpha, anything on our course website (except of course the link to the exam!), or any other internet resource that I've omitted. That certainly includes communicating with other class members during the exam!
12/11: Final Exams
12/12 : Final Exams
Monday Template
Homework Assignment Which You Need to Complete Before class On 12/24.
* Do the HawkesLearning assignment over today's material. You watched the videos to prepare for today's class.
* Check the blog every day for new entries.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 12/22.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1)
* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as an online quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
* There is an optional video assignment in HawkesLearning over this material.
* The HawkesLearning assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions.
Optional material
* Here
Today's VQ for class use
Wednesday Template
Homework Assignment Which You Need to Complete Before class On 12/25.
* Do the HawkesTeach Assignment over today's material.
* Check the blog every day for new entries.
Required Assignment To Do Before Class on 12/22.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1)
* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as an online quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Assignment(s)
* A
Today's VQ for class use
Friday Template
Homework Assignment Which You Need to Complete Before class On 12/23.
* Do the HawkesTeach Assignment over today's material. There is a reading assignment in Hawkes.
* Do the problems on this worksheet. Print the worksheet and write your solutions neatly on that page. Turn in this assignment at the beginning of class on the due date. You can turn in your homework by placing your paper on the desk at the front of the room at the beginning of class or by scanning in the document and sending a copy to me by email. I prefer pdf format, but will accept an occasional image (jpg, gif, NOT heic) in a pinch.
* Check the blog every day for new entries.
Required Assignment to Prepare You For Class, To Be Completed Before Class On 12/21.
* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!
(1)
* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as an online quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.
Optional Material
* Here
Today's VQ for class use - take the quiz at the link above, not here!