Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.
Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Introduces affine varieties and covers morphisms between them and their coordinate rings.
