Creada por:   Higher School of Economics

NivelAdvanced
Compromiso9 weeks of study, 4-8 hours/week
Idioma
English
Cómo aprobarAprueba todas las tareas calificadas para completar el curso.
Calificaciones del usuario
4.3 stars
Average User Rating 4.3Ve los que los estudiantes dijeron
Programa

Preguntas Frecuentes
Cómo funciona
Trabajo del curso
Trabajo del curso

Cada curso es como un libro de texto interactivo, con videos pregrabados, cuestionarios y proyectos.

Ayuda de tus compañeros
Ayuda de tus compañeros

Conéctate con miles de estudiantes y debate ideas y materiales del curso, y obtén ayuda para dominar los conceptos.

Certificados
Certificados

Obtén reconocimiento oficial por tu trabajo y comparte tu éxito con amigos, compañeros y empleadores.

Creadores
Higher School of Economics
National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communications, IT, mathematics, engineering, and more. Learn more on www.hse.ru
Calificaciones y revisiones
Calificado 4.3 de 5 64 calificaciones

An intriguing course.

Uncommonly advanced material.

Rare content on Coursera.

Several comments, in general the course is well conducted,it is not easy to follow, but this is natural as it a very abstract subject. The exercise sets (peer-reviewed) where very instructive, but I think that the quizzes where a little too easy in comparison. I missed a little a more intuitive view, a broader view of the subject as well as a review of more advanced applications and developments, such as infinite Galois groups, etc.

It is a rare online course of advanced pure mathematics. Overall it is very good. It is not recommended to take other courses in parallel with this course as it will consume lots of time on external notes and references. I would recommend National Research University to open more similar courses on abstract algebra, like Groups, Rings, Fields and Modules as a bridge program to this course, or an extension of this course to Lie Algebra or Representation Theory.

Overall, this course has very solid content. In fact, this is one of the few (probably the only one) advanced mathematics course on Coursera. More specifically, in order to take this course, you need to have good understanding of group, field and ring. In other words, you are assumed to have taken general undergraduate level abstract algebra courses before.

However, there are some aspects of the course that are worth improving. First, probably due to the nature of online course, I personally find learning Galois Theory online very challenging. The lectures themselves make sense. The practice problems and quiz, however, sometimes do not seem to be reinforcing the lectures. The materials on tensor product seem to be unrelated as well. Usually these are covered in a course on commutative algebra. In addition, there was almost none communication within the discussion forums.

Overall, I would definitely recommend this course if you have good background in general abstract algebra. After all, Galois Theory has long been a capstone type of course. If you have some background but not solid, it is definitely still doable.