Off the usual course of high school mathematics

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SUMMARY

This discussion focuses on alternative mathematics courses suitable for high school students before tackling calculus. Participants recommend courses such as discrete mathematics, specifically combinatorics and graph theory, which can be studied independently of calculus. The consensus is that these subjects provide an engaging introduction to higher-level math concepts. Additionally, courses in cryptanalysis and number theory are suggested as enjoyable options that do not require calculus knowledge.

PREREQUISITES
  • Basic understanding of Algebra and Trigonometry
  • Familiarity with mathematical reasoning and proofs
  • Interest in discrete mathematics concepts
  • Willingness to explore university-level mathematics
NEXT STEPS
  • Research introductory courses in Discrete Mathematics
  • Explore Combinatorics and its applications
  • Learn about Graph Theory fundamentals
  • Investigate introductory Number Theory resources
USEFUL FOR

High school students, educators, and anyone interested in exploring engaging mathematics courses that precede calculus, particularly those looking for fun and accessible topics in mathematics.

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Hey PF! I'm currently studying Algebra and Trigonometry and have been looking at university level math courses. I was hoping there are some to jump into preferably before calculus like crypt analysis, number theory, or combinatorics.Are there "fun" math courses to take that don't rely on calculus?I do plan on learning calculus eventually.
 
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Discrete math (especially combinatorics, graph theory, etc.) can be learned at a basic level before calculus and honestly it was the most fun math course I've ever taken. Sometimes calc is involved, but not always.
 

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