Recent content by Ryanodie

Alright, I appreciate the advice. You know, things seem a lot less obvious until you write it down. I'll be definitely considering teaching at the secondary level now.

Thanks for your reply. I really think that high school teaching might line up with my goals as well, but the only thing that worries me is that I'll get bored with the repetitive material.

So to give a little bit of background on me, I am a sophomore math major (potentially a physics double major) at a non-ranked public state university. I love learning and and telling people about the things I've learned more than anything in the world. It's a pretty common occurrence for me to...

Why is it important to worry about other elements of A if we can show with just those two that A is both in B and also not equal because it doesn't contain one of B's elements? Edit: I get it now. I'm saying the difference between what could be ## A \cap B ## instead of ## A \subset B ##

Ok! Given the feedback and taking a look at the PDF file that was linked, I am going to try and give it another go with number 1. If it goes well, I'll try number 2. Let A = {1}, B = {1,2} Prove: 1. A⊂B __________________________ 1. A is said to be a proper subset of B if ## x \in A ## is...

That's exactly what is throwing me. It's such a simple conclusion that I just don't know how to write more than what was originally stated.

Homework Statement [/B] I am going through Apostol's Calculus volume 1 and am working through I 2.5 #3. I'm not very familiar with doing proofs so I just wanted to make sure that I got the right idea here. Here's the question: Let A = {1}, B = {1,2} Prove: 1. ## A \subset B ## 2. ## A...

I am a new comer to both these forums and mathematics/physics. I am currently going through Apostol's Calculus and am hoping to find some help (when the need arises) and hopefully get some critiques on proofs when I need to make them. As I learn more math, I hope to pay it forward and help...