Calculus Is Hard, Diff-der-101

Introduction

This course is not for the faint of heart. Calculus is like trying to tame a wild beast. But don't worry, we'll try to keep it contained.

Our goal is to teach you the basics of differential equations, but we'll start with the fun stuff: Limits as We Know Them.

Also known as 'The Part Where We Realize Our Entire High School Education Was a Lie.'

What's this 'limit' business, you ask?
It's like when you try to eat a whole pizza by yourself, but you only eat 3/4 of it.

Let's say you're trying to eat a pizza that's 4 slices. If you eat 3 slices, how much pizza do you have left?

That's right, 1 slice. But don't worry, we're not here to make you cry. We're here to show you that limits are actually kinda cool.

Now that you're feeling better, let's try some more limits.

What's the limit of x^2 as x approaches 0?
That's right, it's 0! But don't worry, we're not here to make you feel like a failure.
What's the limit of sin(x) as x approaches infinity?
Umm... That's a tough one. Maybe try asking a friend?