Tag
Mathematics
4 posts tagged Mathematics, newest first.
Linear algebra speedrun
Cram notes for a first linear algebra course: extracting a maximal independent subset, null space bases, change of basis, rank, determinants and LU, the adjugate, diagonalization, Gram-Schmidt, and quadratic forms.
Calculus speedrun
Cram notes for single-variable calculus: differentiability, equivalent infinitesimals, Taylor remainders, integration technique, the Wallis integrals and product, ordinary differential equations, and curvature.
Derivatives: Handling Multi-Variable Always-True Inequalities
High school math notes on derivatives, using an example inequality involving e^x to demonstrate three methods: parameter separation, Taylor expansion, and derivatives, for handling multi-variable always-true problems.
Sperner's Theorem
A full proof of Sperner's theorem: an antichain of subsets of an n-element set has at most C(n, ⌊n/2⌋) members.