Francesco Lin

Fourier Analysis, Measure theory, Lebesgue integration, functional analysis, and some differential topology.

In this course, we studied topology from a primarily differential perspective; Francesco emphasized the bridge between the differential and algebraic aspects of topology. Some specific topics discussed: homotopy groups, fiber bundles, fibrations, cofibrations, CW complexes, singular/simplicial/cellular homology.

How to write proofs, definitions of a function, ways to categorize numbers, etc.

The material covered in this class is really interesting but the style of lectures made it really difficult to learn. Take this class with a different instructor. 1 Columbia University: Arts & Sciences Fall 2022 Course: MATHGU4065_001_2022_3-HONORSCOMPLEXVARIABLES : MATHGU4065_001_2022_3 - HONORS COMPLEX VARIABLES Instructor: Francesco Lin

I learned a lot about Series, Integration Techniques, and about Differential Equations.

banach spaces, fourier series, lebesgue measure + integration, differential topology, fixed points

I learned a wide variety of skills, from fundamentals of set theory to working with proof-based language. Understanding how to write logical proofs was the most important skill I gained, although our discussions of basic analysis and number theory were interesting as well, and certainly were great ways of building the mathematical language used in proofs.

I learnt about integrals and sequences and series.

Functional Analysis, Fourier Analysis, and Measure Theory.

basic overview of proofs techniques, abstract algebra, real analysis