teaching

Fall 2023: Multivariable Calculus,

book link (temporary) (Also recommended Lang third edition)

Fall 2023: Modern Geometry (this is a class for first year students)

spring semester 2016: Differential geometry. This is a course for undergraduates, the main goal is the global Gauss-Bonnet for surfaces, and its intrinsic proof essentially following Chern's celebrated Annals of Math. paper. I don't know of any book that does this, aside from Spivak which is not aimed at undergrads, if you do please let me know.

Fall semester 2016: Calculus III, multivariable calculus. The main reference is Serge Lang, Calculus of Several variables, 3rd edition.

I have found Lang's books to be very clear in past but have never tried this calculus book, hopefully it will work. Some other resources: MIT open lectures, this may be very useful as a study tool.

Spring 2017: Topics in dynamical systems.

Fall 2017: Topology

Fall 2017: Analysis

spring 2018: complex analysis

spring 2018: algebraic topology

Fall 2018: Analysis

Fall 2018: Topology

Fall 2018: Differential geometry

Spring 2019: DiscreetMath

Spring 2019: Analysis on Manifolds

Fall 2019: Calculus 3, CalculusIIIhw, CalculusIIIbook

Fall 2019: TopologyGeometry