What's the difference between regular math and college math?

AI Thread Summary
The discussion explores the differences between high school and college-level mathematics, highlighting that college math encompasses a broader range of topics beyond basic algebra, including calculus, statistics, and linear algebra. Participants note that while college algebra may cover familiar concepts from high school, it typically moves at a faster pace and includes more complex topics like systems of linear equations and complex numbers. The distinction between "college" and remedial courses is clarified, with remedial courses often labeled with lower numbers and equivalent to high school math. The conversation emphasizes the importance of mastering foundational skills in algebra to succeed in higher-level math courses, and acknowledges that advanced mathematics has both practical applications and theoretical aspects that may not directly relate to real-world problems. Overall, the thread illustrates the progression from basic math to more advanced concepts, underscoring the necessity of a solid understanding of algebra for future studies in mathematics.
Tyrion101
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At first I just thought there was just algebra and college algebra, but trying to figure out what math I still need, I found all sorts of college maths, and I was curious, what do I expect beyond bigger numbers?
 
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I guess you thought regular math only involved counting with your fingers and maybe your toes for the really hard problems.

Hello! What do you do all day in school? There's algebra, geometry, calculus, statistics, numerical analysis, probability, etc.

http://en.wikipedia.org/wiki/Lists_of_mathematics_topics
 
Um there are math courses in college, then there are "college" level math courses in college, I just wanted to know what makes the. "College" versions different ?
 
In the US, I've heard that right now, coloured numbers is the new vogue.
In particular, the interrelations between green squares and red primes are studied with avidity.
:smile:
 
At a school I used to go to, they had elementary algebra, intermediate algebra, and college algebra. I think college algebra is where the college level math courses start, even though it's pretty simple stuff a lot of people learn in high school. Then after that you move on to trig and precalc, which may also be stuff that you learned in high school.
I think the line is pretty blurry between college math and regular math (assuming that means stuff you learn before college).
 
Tyrion101 said:
Um there are math courses in college, then there are "college" level math courses in college, I just wanted to know what makes the. "College" versions different ?

At community colleges the remedial courses won't say "college" in the title; these will all be low-numbered courses; for example if first year courses are 100 and up, the remedial courses will be 099 and less.

The "non college", low numbered courses are equivalent to high school math. They are all pre-calculus.

College Algebra includes a review of your HS algebra, but includes systems of linear equations, complex numbers, and other things that will be useful as you continue through the math program.
 
Just out of curiosity, what's the biggest number they let you play with before you get to college math?
 
Tyrion101 said:
At first I just thought there was just algebra and college algebra, but trying to figure out what math I still need, I found all sorts of college maths, and I was curious, what do I expect beyond bigger numbers?

Yes indeed, math goes far beyond algebra. In higher level math you learn how to study functions, sets, statistics, vectors, geometry, on and on. And there are soooo many applications to real life problems.

For example, suppose you are studying a system that follows the ideal gas law: nRT = PV. In this system, you know the temperature is accelerating and you know the volume is dropping at a constant rate. So what is happening to the pressure? Upper level math let's you solve this kind of problem.

But my understanding of math is from a very applied point of view. There is a *vast* area of math that may not have direct physical application. I'm sure an understanding mathematician will be able to answer this far better than I can.
 
SteamKing said:
Just out of curiosity, what's the biggest number they let you play with before you get to college math?
Multiplicative inverse of parental income, I think.
1 is damn too big to begin with.
 
  • #10
Gee, I love being made fun of just like the next guy, at least SOME. People tried to answer my question. Thanks to those that did. I guess my main confusion was, I've already done algebra, why do I need it a second time if it's nothing new?
 
  • #11
Well, what is called LINEAR algebra is something you've never had at school.
 
  • #12
Tyrion101 said:
Gee, I love being made fun of just like the next guy, at least SOME. People tried to answer my question. Thanks to those that did. I guess my main confusion was, I've already done algebra, why do I need it a second time if it's nothing new?

Assuming you're referring to introductory algebra, there is no difference between high school algebra and college algebra, with respect to content. The college version is usually much faster paced, though.

Were you advised to take college algebra as a result of a placement test? If so, I advise you to take it. If you attempt calculus with weak algebra skills, it will be a struggle.
 
  • #13
@Tyrion101:
arildno said:
Well, what is called LINEAR algebra is something you've never had at school.
And once you understand linear algebra (vector spaces, matrix operations, eigenvalues, ... just see if you know about those concepts) and calculus, you get to the non-linear part and other stuff. Differential geometry with manifolds and so on.
This is regular math. High-school math is just a tiny part of mathematics.
 
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  • #14
arildno said:
I hope your post instead was meant as a followup to my post.
:smile:
Sure. "You" refers to Tyrion101. I edited my post to make it clearer.
 
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