Chapter 3 Notes

@kellis1 @rbroussard3 @tspahn
I hope everyone’s semester is wrapping up nicely! I had a little extra time, so I started looking ahead to Chapter 3. I haven’t copied anything over yet, but wanted to get my thoughts in writing before we have our next meeting on Monday.

I was looking through Lippman’s chapter on linear programming, and I think a little restructuring of our chapters may be a good thing. I’m wondering if we should take Section 1.5 on linear inequalities and make it the first section of Chapter 3. So then Chapter 1 is all about solving and graphing linear equations. Chapter 2 is all about solving systems of equations, and Chapter 3 introduces inequalities, which leads to linear programming. Then we can take Lippman’s sections 3.3 and 3.5 and make each of them a section in Chapter 3. I’ve never used the Simplex Method that he talks about in section 3.4, which is why I’m inclined to leave it out, but if any of you use it, we can use that section as well.

So my proposed outline for Chapter 3 is:
-Section 1.5 from our current book
-Section 3.3 from Lippman’s book
-(if anyone uses the Simplex Method) Section 3.4 from Lippman’s book
-Section 3.5 from Lippman’s book


Hi there. Still wrapping things up! But I have not used the Simplex Method either. I agree that we can leave it out. Let’s see what @rbroussard3 and @tspahn say about it. The outline you propose makes sense to me, so I am all for it.

This outline makes sense to me as well.

I have never used the simplex method either.

Do you think we need to include some inequalities in one variable - from Lippman’s chapter 3 section 1? I don’t think we need the parts about absolute value, but perhaps the simple one variable concept?

@kellis1 @rbroussard3 @tspahn
I edited Section 3.1. I took out everything about absolute value, but can add it back if we think it needs to be included. I don’t teach anything with absolute value in my class. I was having a lot of trouble with formatting. The LaTex worked fine, but when I would try to make something go to the next line, I had a lot of issues. Renae, let me know if you’re having trouble with that in 3.3.

I started looking at 3.4, but I realized those problems are more difficult than anything I teach. Lippman actually doesn’t work through the problems in this section because he covered the Simplex Method. These problems have constraints and objective functions dealing with 3 variables. What is covered in our Section 3.3 is the most extensive linear programming problems get in my class, but also remember algebra is not a prereq for my class. Do you all cover linear programming with 3 variables?

I haven’t made it out of 2.3 yet. I’ve had some struggles with all the formatting there. In particular, if cannot get this to code:

Any suggestions?

I’m going to try to import a picture of it as a place holder until I can figure it out.

A & \cdot & B \
2 \times & \underbrace{3 \quad 3}_{\text {same }}& \times 3 \

@rbroussard3 Here’s the best I’ve come up with. I can’t figure out how to get the 3’s in the right place. I don’t think it’s a bad thing to leave it as a picture for now.

I got it to look like this: top option is a picture bottom option coded with underbrace

Anyone have a preference?

underbracket is apparently a command - but not in pressbooks

I didn’t have any issues with section 3.3. However, in the textboxes when I used the return key when there wasn’t already a line of text, it would mess up the left justification. So, I just left a dummy line of text at the bottom and added lines above it until I was done with that textbox - then deleted it.

I think that I have finally finished 3.2. I copied in the exercises that I had previously deleted. I think that I got them branded and coded in LaTex. It was the easier type of coding that I am beginning to get comfortable doing.

Question: Does Example 3 need the more advanced Latex coding?
Comment: In example 7, some of the arrays go outside of the example box.

The question and comment above would require the more advanced LaTex programming that I am not yet comfortable doing.

Example 3 looks ok - I’m not sure how we would
I think we can fix the overlap for the first time in example 7 by making the text in the first row two lines, for the second overlap I think we can take the third column as a whole and move it to the next line.