1/8: These exercises are due on 1/9. (Yes, they are due tomorrow at the beginning of class, before I take questions over the assignment. Have them ready to turn in when you enter the classroom!) FINALIZED

* DO THIS BEFORE OUR NEXT CLASS: Read Chapter 0 in the text (the syllabus). This is an important part of your assignment. Highlight items that you believe could be useful in the future. You are responsible for knowing the information contained in Chapter 0.
* DO THIS BEFORE OUR NEXT CLASS: Read Section 1.1 in the text.
* DO THIS BEFORE OUR NEXT CLASS: Re-read your class notes from the worksheet.
* DO THIS BEFORE OUR NEXT CLASS: Do exercises 2acd, 4, 7 from Section 1.1 in the notes. These exercises will be collected at the beginning of our next class on Thursday. They should be written neatly or typed on a piece of paper that can be turned in, not in your notes.
* DO THIS BEFOER OUR NEXT CLASS: To the best of your ability, determine the number of different train track layouts involving two two-way switches.Think a bit about why you think two layouts are different. This exercise will be collected at the beginning of our next class on Thursday. It can be on the same piece of paper as the exercises from Section 1.1.
* DO THIS BEFORE OUR NEXT CLASS: If you haven't done this already for another class, create your account on user.wolfram.com using your Carthage email address. If you already have an account, make sure that you remember your password. If you don't have a user.wolfram account, you can create one here with your Carthage e-mail address.
* Check the blog for new entries. Even if I fail to put this in your assignment, it would be a good idea to check the blog at least every other day. As I read your homework or think about how class went, I will post insights and hints in the blog.

* Watch these videos before class on Thursday. Take notes while watching the videos, either in the handout or in a notebook that you can bring to class. They will prepare you for class.
(1) Factorials
(2) Properties of Functions
(3) The Word "Graph"
(4) Important Graphs

* While you are watching the videos or immediately after watching the videos, take this short quiz. You should take this quiz before our next class starts! If I don't have your response by 9:00 am, your quiz will be counted as late, and your score will be reduced, probably to 0. This will count as an online quiz. You should also receive an email confirmation so you can check your answers.

The exercises below are due on 1/10. They are due at the beginning of class, before I take questions over the assignment. Have them ready to turn in when you enter the classroom!

* Do exercises 2bef, 3, 5, 6 from Section 1.1 in the text. For 6, don't use a computer, but a hand-held calculator may be helpful. Explain your reasoning! These exercises will be collected at the beginning of our class on Friday. They should be written neatly on a piece of paper that can be turned in, not in your notes. Turn them in as you enter the classroom or shortly thereafter. Don't wait for me to ask! Please do not put these on the same piece of paper that you turn in on Thursday!

Optional Material

* If you wish, you can download copies of the following two Discrete Structures texts which I will reference from time to time. Both are available for no cost over the internet, or for a very reasonable price in hard copy.
- The Book of Proof by Hammack
- Discrete Structures in Five Chapters by Witno

* If you want to keep going, try finding the number of layouts involving two three-way switches.

VQ for in-class use - you cannot take the quiz at this link! Use the link above.

Map for me to use in class

1/9: These exercises are due on 1/10. They will prepare you for our next class. FINALIZED

* Fill out this Google form!

* Watch these videos before our next class. Take notes while watching the videos, either in the handout or in a notebook that you can bring to class.
(1) Sets
(2) Important Sets
(3) Matrix Operations

* While you are watching the videos or immediately after watching the videos, take this short quiz. You should take this quiz before our next class starts! If I don't have your response by 9:00 am, your quiz will be counted as late, and your score will be reduced, perhaps to 0. This will count as a quiz. You should also receive an email confirmation so you can check your answers.

The exercises assigned below are due on 1/14. They are due at the beginning of class, before I take questions over the assignment. Turn them in when you enter the classroom!

* Read Section 1.2 in the text.
* Re-read the in-class worksheet for Section 1.2.
* Do exercises 1, 3, 5, 6 from Section 1.2 in the notes. NOTE THAT PROBLEM 4 WAS REMOVED!
* Read Section 5.1 in the text.
* Re-read the in class handout and your notes from Section 5.1.
* Do exercises 1, 3, 8aceg, 9aceg at the end Section 5.1 in the notes.

Optional Material

* How can we construct a graph from a train track layout in a way that "different" layouts (layouts we think are different) will have different graphs?

VQ for in-class use - you cannot take the quiz at this link!

1/10: These exercises are due on 1/14. These will prepare you for our next class. - FINALIZED

* Complete this Google form that appeared Saturday afternoon!

* Watch these videos before our next class. Take notes while watching the videos, either in the handout or in a notebook that you can bring to class.
(1) Propositions
(2) Compound Propositions
(3) Basic Set Operations
(4) Two More Definitions
(5) Equivalent Graphs

* While you are watching the videos or immediately after watching the videos, take this short quiz. You should take this quiz before our next class starts! If I don't have your response by 9:00 am, your quiz will be counted as late, and your score will be reduced, perhaps to 0. This will count as a quiz. You should also receive an email confirmation so you can check your answers.

The exercises below are due on 1/15. They are due at the beginning of class, before I take questions over the assignment. Turn them in when you enter the classroom!

* Do Exercises 7, 8 from Section 1.2 in the notes.
* Do exercises 4, 7, 8bdf, 9bdf at the end Section 5.1 in the notes.
* Read Section 1.3 in the text.
* Re-read the in-class worksheet for Section 1.3.
* Do exercises 1, 2, 4, 8, 11 from Section 1.3.
* Read Section 1.11 in the text.
* Re-read the in-class worksheet for Section 1.11.
* Do exercises 1abcf and 2abc from Section 1.11 in the text. You should be able to add and multiply small (two-by-two) matrices by hand, but you are welcome to check your work or do larger problems using Mathematica or another matrix multiplication utility.

Optional Material

* Matrix Mathematica File - Mathematica Online Version - Mathematica File For Making Graphs

VQ for in-class use

1/13: These exercises are due on 1/14. These will prepare you for our next class. - FINALIZED

No additional assignment - class cancelled due to instructor illness.

The exercises assigned today are due on 1/15.

No additional assignment - class cancelled due to instructor Illness.

Optional Material

* None.

1/14: These exercises are due on 1/15. These will prepare you for our next class. - FINALIZED

* Watch these videos before our next class.

(1) Truth Table Proofs
(2) Using a Spreadsheet
(3) Proofs of Argument Forms
(4) Quantifiers and Propositional Functions

* While you are watching the videos or immediately after watching the videos, take this short quiz. You should take this quiz before our next class starts! If I don't have your response by 9:00 am, your quiz will be counted as late, and your score will be reduced, perhaps to 0. This will count as a quiz. You should also receive an email confirmation so you can check your answers.

The exercises assigned today are due on 1/16.

* Do exercise 4 from Section 1.2 in the text.
* Do Exercises 5, 10, 12 from 1.3 in the text.
* Read Section 1.5 in the text.
* Re-read the in-class worksheet from Section 1.5.
* Do exercises 7ace and 8ab from Section 1.5.
* Read Section 1.6 in the text.
* Re-read the in-class worksheet from Section 1.6.
* Do exercises 1, 3abdh, 6 from Section 1.6. You do not need to prove your results in this section, particularly 3h.

Optional Material

* Explore the problem solving exercise we did in class today. Is there anything special about seven solutions? What other interesting questions arise?

1/15: These exercises are due on 1/16. These will prepare you for our next class.

* Watch these videos before our next class.
(1) Making a Bijection
(2) The Set \(\mathbb N\) is Not Finite

* While you are watching the videos or immediately after watching the videos, take this short quiz. You should take this quiz before our next class starts! If I don't have your response by 9:00 am, your quiz will be counted as late, and your score will be reduced, perhaps to 0. This will count as a quiz. You should also receive an email confirmation so you can check your answers.

The exercises assigned today are due on 1/17.

* Do exercises 3, 6 and 13 from Section 1.3.
* Do exercises 4 from Section 1.6.
* Read Section 1.7 in the text.
* Re-read the in-class worksheet from Section 1.7.
* Do exercises 1ace, 2ace from Section 1.7.
* Read Section 2.1 in the text.
* Re-read the in-class handout over Section 2.1.
* Do exercise 1 from Section 2.1 as follows. If your last name begins with the letters A-K, prove logic rules Disjunctive Syllogism, Constructive Dilemma, Conjunction, and Double Negation. If your last name begins with the letters L-Z, prove logic rules Destructive Dilemma, Simplification, Addition, and Tautology (both parts).

Optional Material

*

1/16: Exam 1 will be given today. It will cover the material we covered in class from the beginning of the course up to 1/14 - that does not include the material in the videos assigned on 1/14. That includes Sections 1.1, 1.2, 1.3, 1,5, 1.6, 5.1, and all in-class work. Expect to work for around 30-40 minutes, maybe less. All of you are expected to be in class to take the exam. I will provide a calculator for you to use.

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 whatsoever. You are not permitted to use your phone in any way, any app on your phone, any app that's not on your phone, Google, WolframAlpha, ChapGPT or any other AI resource, or any other print or internet resource that I've omitted.

These exercises are due on 1/17. These will prepare you for our next class. -

* Watch these videos before our next class.
(1) The Multiplication Principle
(2) The Addition Principle
(3) The Inclusion-Exclusion Principle
(4) The First Nine Rules
(5) Which Rule Was Used?
(6) Filling in the Rules
(7) Writing a Proof

* While you are watching the videos or immediately after watching the videos, take this short quiz. You should take this quiz before our next class starts! If I don't have your response by 9:00 am, your quiz will be counted as late, and your score will be reduced, perhaps to 0. This will count as a quiz. You should also receive an email confirmation so you can check your answers.

The exercises assigned today are due on 1/20.

* Do exercise 7 from Section 1.3.
* Do exercise 11 from Section 1.6.
* Do exercises 1bd, 2bd from Section 1.7.
* Do exercise 2 from Section 2.1.
* Read Section 1.9 in the text.
* Re-read the in-class handout over Section 1.9.
* Do exercises 1abg from Section 1.9.

Optional Material

*

1/17: These exercises are due on 1/20. These will prepare you for our next class. -

*

The exercises assigned today are due on 1/21.

Optional Material

*

1/20: These exercises are due on 1/21. These will prepare you for our next class.

*

The exercises assigned today are due on 1/22.

*

Optional Material

*

1/21: These exercises are due on 1/22.

*

The exercises assigned today are due on 1/23.

*

Optional Material

*

1/22: These exercises are due on 1/23. These will prepare you for our next class.

*

The exercises assigned today are due on 1/24.

*

Optional Material

*

1/23: Exam 2 will be given today. It will cover the material from in-class work on ??. That includes Sections ??. Expect to work for around 60 minutes, but no more than 75 minutes. (The quiz isn't any longer, but some of you may get stuck on the logic proof(s).) The exam will be open notes.

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, Force code (used to communicate with Jedi knights), 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 any text other than mine, any app on your phone, any app that's not on your phone, Google, WolframAlpha, or any other print or internet resource that I've omitted.

These exercises are due on 1/24. These will prepare you for our next class.

*

The exercises assigned today are due on 1/27.

* T

Optional Material

*

1/24: These exercises are due on 1/27. These will prepare you for our next class.

*

The exercises assigned today are due on 1/28.

*

Optional Material

*

1/27: These exercises are due on 1/28. These will prepare you for our next class. -

*

The exercises assigned today are due on 2/-2.

*

Optional Material

*

1/28: These exercises are due on 1/29. These will prepare you for our next class.

*

No new exercises assigned today.

* No additional exercises to turn in. However, you should know how to prove that \(((A\setminus B)\cup (B\setminus A))\subseteq A\cup B\). You don't have to write this proof to turn in.

Optional Material

*

1/29: No new exercises are due on 1/30.

* Study for the final exam, which will cover the entire course.

Optional Material

* Don't Panic.

1/30: Our final exam is from 9:00-12:00 on Thursday, January 30. This exam covers the following sections:?? and maybe more to be added. Expect more from the material that was not on the first two exams. You may start as early as 8:00 if you wish.