Math Programs Summer Before College

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SUMMARY

Prospective math majors can access various affordable or free summer math programs before college. The discussion highlights the importance of Research Experiences for Undergraduates (REUs), which, while competitive, are accessible to high school seniors with strong self-taught backgrounds in advanced mathematics. Participants have successfully learned topics such as abstract algebra, linear algebra, real analysis, multivariable analysis, and complex analysis using resources like "Dummit and Foote" and "Baby Rudin." Engaging in REUs can provide valuable research experience and enhance college applications.

PREREQUISITES
  • Understanding of basic abstract algebra, linear algebra, and real analysis
  • Familiarity with advanced mathematics literature, specifically "Dummit and Foote," "Axler," "Halmos," "Baby Rudin," and "Baby Spivak"
  • Knowledge of the structure and application process for Research Experiences for Undergraduates (REUs)
  • Ability to conduct independent research and self-study in mathematics
NEXT STEPS
  • Research available summer math programs for high school seniors
  • Explore the application process for REUs at various universities
  • Investigate online platforms offering free advanced mathematics courses
  • Connect with professors or mentors in mathematics for guidance on research opportunities
USEFUL FOR

Prospective math majors, high school seniors preparing for college, and individuals seeking research experience in mathematics.

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I'm a prospective math major going to college next fall. Are there any cheap or free math programs available for a graduating high school senior during the summer? Research sounds exciting but I'd be fine with just learning material.

By the end of the year I'll have learned basic abstract algebra (dummit and foote), linear algebra (axler and halmos), basic real analysis (baby rudin), multivariable analysis (baby spivak), and basic complex analysis. I don't have much in the way of formal credentials since I picked up most of that stuff from reading. I'm guessing that REUs are out of reach.

Thanks in advance for any suggestions!
 
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From talking to professors who are running them, REU's aren't out of reach for high school seniors, but it is competitive. I'm in a very similar same position, and I'm applying to lots of REU's to get a possible chance at a smaller university.
 

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