Accelerated, rigorous courses for college credit

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SUMMARY

This discussion focuses on finding rigorous online mathematics courses that offer college credit for high school students in the United States. The participants specifically mention programs such as EPGY from Stanford University, UIUC Netmath, and JHU CTY as suitable options for advanced topics like analysis, abstract algebra, and topology. The emphasis is on courses that are mathematically rigorous and proof-based, rather than standard AP or IB offerings. The links provided lead to specific courses that meet these criteria.

PREREQUISITES
  • Understanding of advanced mathematics concepts such as analysis and abstract algebra.
  • Familiarity with online learning platforms and their course offerings.
  • Knowledge of college credit systems and how they apply to high school students.
  • Ability to engage in self-study and utilize academic resources effectively.
NEXT STEPS
  • Research the EPGY courses M115, M106, and M109 for their curriculum and rigor.
  • Explore the UIUC Netmath program for advanced mathematics courses available online.
  • Investigate the JHU CTY offerings for proof-based mathematics courses.
  • Look into self-study resources and textbooks that cover rigorous mathematics topics.
USEFUL FOR

High school students seeking advanced mathematics education, educators looking for rigorous course options, and parents interested in college credit opportunities for their children.

lolgarithms
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this may be too much to ask of you,
but if possible, please give me ideas,
have you any knowledge of anything in the us that will give one college credit for a high school student? not some trivial sh*t like ap/ib calculus, multivar calculus, or diff eqs...
something more proof based, like analysis, abstract/linear algebra, topology... something as close to math 55 as possible?
 
Last edited:
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physicsnoob93 said:
I think EPGY, UIUC Netmath or JHU CTY would work:

http://epgy.stanford.edu/
http://netmath.uiuc.edu/
http://cty.jhu.edu/

Sorry, You did not answer my question satisfactorily.

i don't live near california, so the stanford program is infeasible.

And by rigorous i meant not [paraphrase]"usually taken when you're older"[/paraphrase], but mathematically rigorous, i.e. with emphasis on proofs.
 
lolgarithms said:
Sorry, You did not answer my question satisfactorily.

i don't live near california, so the stanford program is infeasible.

And by rigorous i meant not [paraphrase]"usually taken when you're older"[/paraphrase], but mathematically rigorous, i.e. with emphasis on proofs.

Please check the links properly before you comment. They are all online courses. And yes, some of the courses there are mathematically rigorous.

Edit:
http://epgy.stanford.edu/courses/math/M115/
http://epgy.stanford.edu/courses/math/M106/
http://epgy.stanford.edu/courses/math/M109/

If you don't appreciate those courses, you could always get a book you'd think was rigorous enough and self study.
 

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