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The Bronx High School of Science is a specialized school.

Here are some papers its students published this year: https://www.bxscience.edu/apps/pages/index.jsp?uREC_ID=3719&...

A similar institute is the North Carolina School of Math and Science, and their current newsletter is here: https://broadstreetscientific.ncssm.edu/

This type of content is not representative of the average high school's mathematics curriculum in 1957.

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Yep. Current (graduating) student here. The math department is really incredible, going up to courses like Multivariable Calculus and Linear Algebra and Differencial Equations, which I’m taking. They’re also expanding their CS course offerings, starting to teach courses like Algo/data structures, C++, app, and game development. It’s really incredible.

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