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

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Discussion Overview

The discussion revolves around the differences between regular math typically learned in high school and college-level math courses. Participants explore various aspects of mathematical education, including the types of courses available, the content covered, and the expectations for students transitioning to higher-level mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants express confusion about the distinction between regular math and college math, questioning what additional content or complexity to expect beyond basic algebra.
  • Others mention various college math courses such as algebra, geometry, calculus, and statistics, highlighting the breadth of topics covered in higher education.
  • One participant notes that college algebra often includes a review of high school algebra but also covers more advanced topics like systems of linear equations and complex numbers.
  • There is a suggestion that the line between college math and regular math is blurry, with some college courses resembling high school content.
  • Some participants emphasize that higher-level math involves studying functions, sets, vectors, and real-life applications, indicating a shift towards more applied mathematics.
  • Linear algebra is mentioned as a topic that is typically not covered in high school, suggesting that it represents a significant step in mathematical education.
  • Concerns are raised about the pacing of college algebra courses, with some participants indicating that they may be faster than high school courses.
  • One participant humorously questions the largest number encountered before college math, reflecting on the perceived simplicity of earlier math education.

Areas of Agreement / Disagreement

Participants generally agree that there are differences between regular math and college math, but multiple competing views remain regarding the nature and significance of these differences. The discussion does not reach a consensus on what constitutes the key distinctions.

Contextual Notes

Some participants mention that remedial courses at community colleges are labeled differently and do not include "college" in their titles, indicating a potential confusion regarding course classifications.

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.
 
Last edited:
  • #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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