v It’s falling because that’s what things do.
v A differential equation is something with a lot of x’s.
v If that’s a sense allowed in the English language.
v Stand back! I’m about to do some basic arithmetic!
v I don’t have your tests graded yet. They take time and… - (student) Excuses. – Oh, so you want to me grade them like I do finite – just get drunk and start marking them all 0 or 50? – (student) No. We’re good. Take your time.
v Say you have p sheep and some of the sheep kill each other. These are vicious sheep.
v Partial fractions! We should be having traumatic memories of Cal 2 right now.
v All models are bad, but some are useful.
v This dry-erase marker is larger than an atom.
v We can employ the method of… whatever to solve that.
v There’s a quote… the shortest path between two truths passes through the complex plane.
v You know, I don’t like Roman numerals. Roman numerals are stupid. *rubs it out and puts a 1 instead*
v Let’s exponentiate this.
v Any questions on how to find T? I hope we only have to find it for T, not coffee. *takes a sip*
v I think f needs to be continuous for this theorem. Eh, I don’t care.
v Uh-Oh. I’ve got c1and c2 switched in my notes. We’re in trouble.
v I’m not an expert on differential equations. I’m just teaching this class because no one else wanted to.
v Is everyone kind of okay with this?
v Are you not entertained?
v Okay, just pretend I’m allowed to multiply. Turns out I am. There’s probably a theorem somewhere to prove it.
v We will solve this for the general solution, which is the answer of… whatever form for all questions like this.
v (on SIR epidemic model) A recovered individual may or may not be dead. This model includes the dead people in the recovered. They are no longer infectious and are immune to further infection. I guess they’re not zombies, since they’re no longer infectious.
v (on Laplace translation theorem) This theorem will not tell you how to calculate the Laplace transform in Spanish. De transformada de Laplace. No, we mean geometric translation.
v This is an important theorem, which we won’t prove. Hooray.
v It’s a fact from… somewhere… that an irreducible quadratic can be written as a sum of two square. You probably remember from algebra, how you could write it with arctan… Well, we’re doing something else now.
v It will be the solution, the only solution, by some uniqueness theorem.
v Okay, over here I have DE world, and over here I have Laplace world. This is the left side of the chart, and this is the right.
v First I have to kill that 2 in front of x’.
v This is one of our favorite methods from Cal 2. And how many times do we need to use it? Dos!
v Is everyone okay with how we found x? The battle for x is over.
v I think there is an arbitrary constant somewhere that I missed that’s important. Sorry, guys.
v Why did we solve for F(x,y)? – (student) Because you told us to.
v How about #4? Wait, I think we did #4 in class. How about #6? No, it looks like #4. Let’s do #8.
I think I'll actually miss this teacher...
In Pace Christi,