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Logic is not a math. Math is a logic, an application of the propositional calculus.

Logic is the foundation of mathematics. Mathematics is nothing but logic applied to mathematical objects. Without a grounding in formal logic, dealing with mathematical proof is difficult, if not impossible. Without proof, the higher branches of mathematics fall apart. Logic is the mother and father of pure mathematics, the origin and the goal, the means, the method, the motivation.

In fact, the adherence to logic is what I think makes mathematics great. It gives it a precision that can't be found anywhere else; it gives it an objectivity, an absolute existence that nothing outside of pure logic can match. It makes it beyond human fallibility, beyond the approximations and the uncertainities and the noise of reality. It makes mathematics True.
Other academic branches can get away with imprecision and ambiguity, but can they claim truth? Can they claim Truth? No; they are grounded in reality, in the observable, in the supposedly observed. They cannot say anything for certain. Only logic, and by extension mathematics, can say "if you take this to be true, then that must be true." Only through logic can you be sure that what you are doing holds together, that you are allowed to build from your premises, that you are not building on air or making false assumptions.

Mathematics without logic is nothing, a hopeless, directionless blind wandering in a dark world without the chance of understanding, a child-like existence of confusion and bewilderment. It is the inability to think logically, precisely that prevents the average man from understanding mathematics, that allows lies and misunderstanding and faulty lines of reasoning to infiltrate thought.
Logic is not a constraint as many think it is; it is not walls around you but the floor below you, the ground you stand on so that you may see the world and the sky.

I wouldn't mind, but I am take so many classes that do nothing but proofs... I HAVE ALREADY TAKEN SOME OF THEM!!! I have an idea how to work things through logically. I just don't like being stuck in this class that seems completely useless.

(especially since I really like applied mathematics.. I don't mind analytic stuff, but I would rather not waste my time and money on a class that I feel is pointless.)

Actually I am majoring in math, but (because at our school there isn't a difference) I went out of my way to take science math, business math, and safety math (for fun, but doesn't count for my major crying ). It isn't an applied math major, but that is where I focus my attention.

I don't mind analytical stuff... I have had analytical courses, but the logic flowed... It isn't a math logic book... It is much more like a story. Most logic book are like math books, but this is like a public speaking argument book. It is more like a story. Not so much math...

I wish I had taken a logic course, or a course in proofs. I'm not very good at them - I wasn't exposed to them at all until college. And my first class was with Conway...the man expected us to create a proof about a lecture he did with a hammer, a brick, and a boomerang! Needless to say, I still haven't learned the formalism behind proofs.

My school now separates between theoretical and applied. Actually, we always separated; we used to not do applied math lol.