Math with the passion of a THOUSAND SUNS

[Nephew Twiddleton]

(also, I took College Algebra when I was 23. I'm just shy of 32 now.)

[Mesozoic Mister Nigel]

In otherwords, I don't actually care what precal is, I just want to know where to start.

I got an A in college algebra (which at the time was apparently harder than the currently offered STEM algebra), so I can do this shit. I just need to know where algebra ends, and calculus begins.

Well, I don't know that anyone can really answer that question without knowing how your college structures its classes. Basically, my college structures the classes so that you take college algebra, and then trig, and then calc. The textbook that we use for college algebra and trigonometry is called "College Algebra and Trigonometry", and college algebra is one class for the first half of the textbook, and trig is the class for the second half. I don't know if that helps you with a starting point, at all, if yours structures its classes differently. I would recommend talking to someone in your math department about it.

[Nephew Twiddleton]

In otherwords, I don't actually care what precal is, I just want to know where to start.

I got an A in college algebra (which at the time was apparently harder than the currently offered STEM algebra), so I can do this shit. I just need to know where algebra ends, and calculus begins.

Well, I don't know that anyone can really answer that question without knowing how your college structures its classes. Basically, my college structures the classes so that you take college algebra, and then trig, and then calc. The textbook that we use for college algebra and trigonometry is called "College Algebra and Trigonometry", and college algebra is one class for the first half of the textbook, and trig is the class for the second half. I don't know if that helps you with a starting point, at all, if yours structures its classes differently. I would recommend talking to someone in your math department about it.

I have to, in order to get permission to take precal in autumn. It will come up. It's just that I'm really frustrated right now that I have the math requirements if I were still 24, but I'm fucking 31. It bothers me that the requirements for my switch to science would have been different if it was several years ago, especially considering that they made the math classes easier. That I have to scramble to do anything more complicated than, of all things, biology and environmental.

[Nephew Twiddleton]

In otherwords, I don't actually care what precal is, I just want to know where to start.

I got an A in college algebra (which at the time was apparently harder than the currently offered STEM algebra), so I can do this shit. I just need to know where algebra ends, and calculus begins.

Well, I don't know that anyone can really answer that question without knowing how your college structures its classes. Basically, my college structures the classes so that you take college algebra, and then trig, and then calc. The textbook that we use for college algebra and trigonometry is called "College Algebra and Trigonometry", and college algebra is one class for the first half of the textbook, and trig is the class for the second half. I don't know if that helps you with a starting point, at all, if yours structures its classes differently. I would recommend talking to someone in your math department about it.

I have to, in order to get permission to take precal in autumn. It will come up. It's just that I'm really frustrated right now that I have the math requirements if I were still 24, but I'm fucking 31. It bothers me that the requirements for my switch to science would have been different if it was several years ago, especially considering that they made the math classes easier. That I have to scramble to do anything more complicated than, of all things, biology and environmental.

I get it too, it's primarily my fault. It's just.... why do I need more paper to switch? The damnedest thing is that, I always thought I sucked at math in high school, but what it really came down to is that I just wasn't interested in it. Once I was paying for math classes out of pocket, I aced the fuckers. So, now I'm looking at precal problems and freaking out even though I know I got this shit. I just don't understand it yet. But I will.

[Nephew Twiddleton]

Incidentally, for my intents and purposes, I consider the transition to be where the CLEP test tells me that it stopped being algebra and started being precalculus, since that is basically what I have to do.

I looked at some of it and it seems that my first steps involve f(x) and g(x)

[Mesozoic Mister Nigel]

Incidentally, for my intents and purposes, I consider the transition to be where the CLEP test tells me that it stopped being algebra and started being precalculus, since that is basically what I have to do.

I looked at some of it and it seems that my first steps involve f(x) and g(x)

We don't have "precalculus" classes so I don't even know what that might be. I didn't do CLEP. f(x) and g(x) is all stuff we did in college algebra.

I wouldn't think of the restructuring as "making classes easier". Usually what it means is that they broke out  the information from two classes and made them three, which does technically make each class easier but ultimately you end up with the same knowledge.

If you already learned the knowledge you need in classes before, it should be easy to refresh your memory over the summer. If not, you should probably just take the class.

I understand being frustrated but you might want to just relax and embrace the process. I was in a big rush to get it done until I decided to double-major, but then with all the additional prerequisites that brought I realized that it would be no fun at all if I didn't just fucking chill out and roll with it.

[Mesozoic Mister Nigel]

Of course, part of my thought process is that I feel that it's better to spend a little more money and a little more time and be overprepared, and get straight A's, than to be underprepared and stressed and end up with a lower grade.

[Nephew Twiddleton]

True. Im a bit concerned about my financial aid though. Im literally blocked from taking a good amount of classes.

[Nephew Twiddleton]

So much so that spring might end up being bio ii and calculus.

[Don Coyote]

In otherwords, I don't actually care what precal is, I just want to know where to start.

I got an A in college algebra (which at the time was apparently harder than the currently offered STEM algebra), so I can do this shit. I just need to know where algebra ends, and calculus begins.

limits, derivatives and integrals

[Nephew Twiddleton]

Cool man thanks

[Don Coyote]

Cool man thanks

essentially in that order too.  ir at least that was how it was taught to me.

[hirley0]

I really loved math until I figured out what I really love is logic.  I still love math, though.

I believe there is no actual proof that 1+1=2, but rather, 1+1=2 is actually a definition.  Discuss?

I really loved math until I figured out what I really love is logic.  I still love math, though.

I believe there is no actual proof that 1+1=2, but rather, 1+1=2 is actually a definition.  Discuss?
i think i knew that character once upon a time | Set theory ? if set has only 0&1 | 2 is non¢ents

I really loved math until I figured out what I really love is logic.  I still love math, though.

I believe there is no actual proof that 1+1=2, but rather, 1+1=2 is actually a definition.  Discuss?

Well, that depends on the axioms you assume! In some fields of maths the definition of 2 is 1+1, for (Peano) Arithmetic it's a theorem of two axioms, they are:
(1)  ∀x∀y(x+S(y))=S(x+y)
(2)  ∀x(x+0)=x
Where 0 is our only constant^*, + is a binary function^* (intended for addition), S( ) is a unary function^* (intended to signify the successor of something), x and y are variables^*, and for a variable x, ∀x means* 'for every x'.

So 1 is defined as S(0), that is, the successor of 0, and 2 is defined as S(S(0)), that is, the successor of 1.
And we want to prove that S(0)+S(0)=S(S(0)) from axioms (1) and (2):
proof^*:
By substituting^* x=S(0) and y=0 to (1) we get:
(3)   S(0)+S(0)=S(S(0)+0)
By substituting^* x=S(0) to (2) we get:
(4)   S(0)+0=S(0)
Because S( ) is a function^*, from (4) we get:
(5) S(S(0)+0)=S(S(0))
And by deduction^* from (3) and (5) we get:
S(0)+S(0)=S(S(0))

Thanks for reminding me of that

^* of course we should have started from predicate logic, languages and theories, defined what a variable and a quantifier '(for all)' is, defined what a formula is, defined the rules that we make deductions with, defined what a proof is, defined substitution to formulas, and defined what a function is, so including all that the proof would be much longer!!


Golden Applesauce, i find what you said to El Twid, really one of the best descriptions for how it is/should be to learn maths! 

I'll try to post some gentle foundational predicate logic and set theory later,

Looking forward to that!
in time i will REMove much of your ARgument here | explain Y this REMinds me of a gree BUICK

RED _

[hirley0]

Of course, part of my thought process is that I feel that it's better to spend a little more money and a little more time and be overprepared, and get straight A's, than to be underprepared and stressed and end up with a lower grade.

[hirley0]

the 60's Music is on ch 10.1 & 10.2 / Jefferson Star ship
true? i cant tell if its Sig or not / i doubt they well say / Just GROUP

It was the sixties when eveN i could attend U unrestrained
&2 in '69 counter the attempt at my demise

What's a N0p?

NOP / no-op / no operation is a one byte assembly code instruction that does nothing, found in every assembly language (although not necessarily the same byte in each language, which I think Hirley0 might be referring to?)