When Will I Feel Confident in My Pure Math Knowledge?

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  • Thread starter Thread starter ~Death~
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    Degree Pure Pure math
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SUMMARY

The discussion centers on the confidence levels of a pure math major who has completed two years of university coursework, including real analysis, abstract algebra I, differential equations, linear algebra II, statistics, and vector calculus. Participants affirm that the individual possesses a solid foundation in classical mathematics, which is sufficient for most physics applications. They emphasize that the junior year typically introduces more advanced pure mathematics concepts, such as topology, which will further enhance understanding and confidence in the subject.

PREREQUISITES
  • Understanding of real analysis concepts
  • Familiarity with abstract algebra I
  • Knowledge of differential equations
  • Proficiency in linear algebra II
NEXT STEPS
  • Explore advanced topics in topology
  • Study real analysis II for deeper insights into mathematical rigor
  • Learn about abstract algebra II to expand algebraic knowledge
  • Investigate mathematical proofs to strengthen logical reasoning skills
USEFUL FOR

Pure math majors, undergraduate students in mathematics, and anyone seeking to build confidence in advanced mathematical concepts.

~Death~
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Hi, so

I was just browsing this site and I've heard of most of the things being asked

in the Math forums, but I really only knew the answers to a few

I just finished my 2nd year of university (pure math major)

Ive taken an intro course in real analysis, abs algebra I and all the standard

differnetial equations, linear algebra II, stats, and up to vector calc

but I wondering -how long before I actually learn a lot

it seems like I know nothing compared to the topics on this site

-Thanks
 
Physics news on Phys.org
You already know a lot of math. You have all the classical math needed for most physics. Aside from topology, you seem to have it all down. Junior year is when it gets 'pure' though.
 

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