Vector Calculus, Multivariable Calculus, Linear Algebra

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Discussion Overview

The discussion revolves around the transition from Calculus BC to subsequent mathematics courses, specifically focusing on the relationship between vector calculus, multivariable calculus, and linear algebra. Participants explore the prerequisites and typical course sequences in college mathematics.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Meta-discussion

Main Points Raised

  • One participant expresses confusion about whether vector calculus and multivariable calculus are the same and what the typical course sequence is after Calculus BC.
  • Another participant suggests that vector calculus and multivariable calculus are two names for the same subject.
  • There is a discussion about the necessity of linear algebra as a prerequisite for vector or multivariable calculus, with differing opinions on whether it is required at various colleges.
  • One participant recommends taking honors math courses in college for those interested in theoretical physics, which is met with confusion by another participant who does not intend to pursue theoretical physics.
  • The assumption that participants are generally physics majors is noted, leading to a clarification that the original poster is focused on a math question.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the necessity of linear algebra for vector or multivariable calculus, as opinions vary based on different educational institutions. There is also a divergence in focus regarding the relevance of theoretical physics to the original question.

Contextual Notes

Participants express uncertainty about course prerequisites and the relationship between different calculus subjects, indicating that experiences may vary by institution.

Who May Find This Useful

Students transitioning from high school calculus to college mathematics, particularly those interested in understanding course sequences and prerequisites in mathematics and related fields.

member 508213
I am in Calculus BC in high school right now and I am really enjoying it and have finished all of the material for the year and I have heard different things about what class comes after Calculus BC (I believe BC is equivalent to Calc 1 & 2 in college). I have heard the next class, aka Calc 3, is vector calc from some sources and multivariable from others and I am wondering if these subjects are similar? and what differences? and what comes first typically?

Additionally, I have heard that you need linear algebra for vector and multivariable so I am wondering if THAT comes first?? Basically I am confused on what I should focus on now that I have finished Calc 2.

I have tried to look up what comes next, but again I am getting mixed answers. Any help telling me the similarities and differences and what I should study first would be of great help!

Thanks!
 
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Austin said:
is vector calc from some sources and multivariable from others and I am wondering if these subjects are similar?

They're two names for the same thing.

Austin said:
I have heard that you need linear algebra for vector and multivariable

I think at some schools you do, at others you don't. At the college where I work, linear algebra is not a prerequisite for vector calc. I would say go ahead and do whichever one looks more interesting to you. Vector calc is of course more directly related to the other calculus you've studied.
 
I suggest you take honors math courses once in college if you really want to work on theoretical physics. Just a thought.
 
TimeInquirer said:
I suggest you take honors math courses once in college if you really want to work on theoretical physics. Just a thought.
? I don't want theoretical physics what does that have to do with this thread?
 
This is "Physics Forums", after all. :oldwink: People tend to assume you're going to be a physics major unless you say otherwise.
 
jtbell said:
This is "Physics Forums", after all. :oldwink: People tend to assume you're going to be a physics major unless you say otherwise.
Nah I'm just here to ask a math question :)
 
I suppose you are right. Still, take the honors classes lol
 

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