Higher Math

3 units

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  Groups, Rings, and Fields

  Art by DALL·E · grf

  A first introduction to the language of group theory, rings, and fields. One of the two key gateway units for higher math.

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  Multivariable Calculus

  Art by Catherine Xu · multivar

  Multivariable calculus as taught at MIT in fall 2024, based on the LAMV textbook written by Evan. Covers multivariable differentiation, multivariable integration, and special cases of the general Stokes theorem for dimension up to 3. Requires only a high school background up to single-variable calculus. Half the problems are exercises from my book and the other half are past Putnam problems.

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  Topology and Real Analysis

  Art by DALL·E · tara

  A quick introduction to important notions like continuity, compactness, topological spaces, etc. One of two key gateway units for higher math.