6.3, due March 2

I like this section because it seems fairly intuitive after already considering Rings modulo primes (or irreducible polynomials). I also really like the way of thinking about primes with ideals because it makes sense! It's also cool that using this definition some surprising things come out to be prime-such as polynomials with even constant terms. I don't understand as much why you can sometimes have a quotient ring modulo a prime that is not a field, when previously that was always a field. I understand the counter example and that we can still say it is an integral domain, it just seems counter-intuitive for it to not necessarily be a field.