Recent content by ktheo

Homework Statement Give f:A→A and g:A→A where f is surjective, g is injective, but f*g is neither surjective nor injecive The Attempt at a Solution I don't know why I can't really think of two... I assume it's easiest to do one in ℝ, but when it comes to producing...

Homework Statement True or False: Given that A = {a,b,c} and B={0,1,2,3,4}, there are 32768 binary relations from A to B I assume there is some simple way to tell how many relations there are given two different sets, but I don't know it. Factorials? Powers? I'm not sure what.

Ive taken both group theory and abstract linear algebra (arbitrary fields, linear maps, etc etc). Although they didn't have solution manuals, I would say I still studied in a similar way; find a similar problem with fully worked solutions, work it backwards, and learn it like that, as opposed to...

Interesting. Thanks that was a good read. As one person pointed out, obviously it's a different thing to be simply copying answers and seeing answers and working backwards. I am definitely trying to back off seeing solutions and give myself a little "thinking" time. But then I get to the issue...

I have applied for my MS in applied mathematics... I've got a heavy background in applied math and not a ton of pure (only the generic core requirements like analysis and such). Whether it's "more" work than your BS, I don't think anyone can really say without the specifics of your program. I...

I am pretty close to finishing my undergrad degree in math, and I am really starting to realize as my classes get more demanding, conceptual, loaded, whatever, that the style in which I have cultivated studying is not going to keep working. I very, very rarely read the texts. I realize this...

I'm looking for a vector calculus book that's good for self study. I need to get some extra practice would like something with a good number of exercises covering all the regular vector calculus topics. A book as applied as possible would be nice. Any suggestions? I've used Vector Calculus by...

Why is that? What's the issue as long as you meet the GPA cutoff to switch? I am also not in a US university and I switched three times. I'm not saying you're wrong at all I just didn't know it was difficult for some; especially considering what we pay in some countries...

This was a discussion about GRAPHING calculators, not just calculators. We're not discussing whether it's a pro or con to start using long division and other redundant arithmetic... But sure yeah, i'll start working on my refund. God only knows the "misfortune" I had in not using a graphing...

Certainly he should review the syllabi at the school, but I think my assessment is quite reasonable.

I am about to finish my undergrad in math and never touched a graphing calculator once in over four years. Not to mention they aren't allowed on tests... I see absolutely no use for a graphing calculator in calculus... whatsoever. Especially now that the internet and wolfram exists for your...

The importance of choosing a major right away is way, way overblown. I didn't even become a math major until I was mid-way through my second year; before that I was a political science major! Don't stress, and if you can't make a decision, just pick something, get into school, and in your...

This is kind of one aspect that holds me back from just jumping into the geometry. I haven't ever taken a strictly "geometry" gauged class in my LIFE. I truly don't really even know what it entails... My math career has pretty much been Linear algebra>Abstract linear>abstract algebra>advanced...

I'm not sure why I have a disdain for set theory; perhaps it stems from the fact that early in undergrad I just had to go through it SO MANY times, from having to re-cap it in abstract algebra, to re-covering it in logic, then again in consumer theory in economics, and it felt so stale to me. I...

So I have a list of "optional electives" for my math degree which I am about to finish. I've held off on these courses and finished up all my mandatory courses; analysis, ODEs, group theory etc. I have some fourth year courses to finish (PDEs, dynamical systems, lie algebras) and I have to pick...