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,
Elyse
