Vector Calculus: Worth Dual Enrolling in High School?

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SUMMARY

The discussion centers on the value of dual enrolling in a Vector Calculus course at a community college while still in high school. Participants highlight that Vector Calculus is often equated with Multivariable Calculus, but caution that the course's acceptance for transfer credits varies by institution. It is noted that some colleges may require prior completion of Multivariable Calculus before enrolling in Vector Calculus. Additionally, the discussion emphasizes the importance of verifying transfer credit policies with prospective colleges.

PREREQUISITES
  • Understanding of AP Calculus concepts
  • Familiarity with Multivariable Calculus
  • Knowledge of transfer credit policies
  • Awareness of Vector Calculus topics such as curl and divergence
NEXT STEPS
  • Research transfer credit policies at prospective colleges
  • Learn about the differences between Vector Calculus and Multivariable Calculus
  • Study Michael Spivak's Calculus for a deeper understanding of calculus concepts
  • Prepare for any placement tests required by community colleges
USEFUL FOR

High school students considering dual enrollment, educators advising students on advanced math courses, and anyone interested in understanding the nuances of calculus course transferability.

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I'm in high school, and right now I'm taking AP Calculus. I'm interested in dual enrolling at a Community College over the summer. I've been looking at their Math selection, and they list Vector Calculus as a course. It sounds, from reading the http://www.nvcc.edu/depts/academic/coursecont/summaries/mth277.htm" , to be similar to Multivariable Calculus. Would it be worth taking? Or would I still have to take Multivariable Calculus after I graduate and go to college?
 
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Depends on whether the course transfers. Some colleges will accept some courses, and some will accept others. Some will accept none. I'd check with the schools you're interested in attending.
 
That course description is the same as Multivariable Calculus at my school. So, you should be good with only taking Vector Calculus as opposed to taking both.
 
I'm just surprised you'd be able to take vector calculus after one course in high school calculus. At my school, vector calculus is the third in the applied math calculus program, which is considered to be quite a bit harder than the regular calculus program because it moves at a really quick pace. So, at least at my school, you have to take two intense calculus courses before you can take vector calculus. Are you sure you don't have to take anything else first?
 
I've heard 'Vector Calculus' used in two different contexts. Sometimes it's used as a blanket term for multivariable calculus (incorrectly, in my opinion), but most often, it refers to Vector fields, curl, divergence, Stokes' Theorem, etc. Make sure you know which one it is.

Regardless of what the course description is, you really should check with any institutions that are involved to see if they will accept/grant transfer credits. Never assume that just because a course description is similar that it's an automatic transfer.
 
Yea my uni teaches that in Calc 3 (multivariable calculus) but we also have a course in Vector Analysis that goes more into fields, curl, gradients etc. Its a pretty high level course compared to multivar so there's really no way to mix them up here.
 
I'm just a sophomore now, so I'm not really interested in any colleges in particular. Should I still take the course anyways and hope that in two years that the school that I go to will let me transfer the credits?

@thegreenlaser I think there's a placement test administered by the community college, so I'm hoping that since I'm supplementing my course with Michael Spivak's Calculus, I'll hopefully pass.
 

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