MA232: Abstract Algebra II

2 votes
Free Closed [?]
MA232: Abstract Algebra II

This course is a continuation of Abstract Algebra I: we will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms.  We will also take a look at ring factorization, which will lead us to a discussion of the solutions of polynomials over abstracted structures instead of numbers sets.  We will end the section on rings with a discussion of general lattices, which have both set and logical properties, and a special type of lattice known as Boolean algebra, which plays an important role in probability.  We will also visit an important topic in mathematics that you have likely encountered already: vector spaces.  Vector spaces are central to the study of linear algebra, but because they are extended groups, group theory and geometric methods can be used to study them. Later in this course, we will take a look at more advanced topics and consider several useful theorems and counting methods.  We will end the course by studying Galois theoryone of the most im…

Categories: Mathematics

Comments

Alternatives

-- no alternatives found for the course --
If you know any alternatives, please let us know.

Prerequisites

-- no prerequsites found for the course --
If you can suggest any prerequisite, please let us know.

Paths

  • Applied Mathematics

    Applied Mathematics degree

  • Mathematics

    This is the path to get alternative degree in Mathematics with MOOCs and other online courses



See all Education Paths

Certification Exams

-- there are no exams to get certification after this course --
If your company does certification for those who completed this course then register your company as certification vendor and add your exams to the Exams Directory.

Students

People who learned this course or plan to learn. These people added the course to their Education Passport or their Personal Education Path.

Alberto Mesa Andrey Kirillov Derek FENG 冯策 Iordanis Kalaitzoglou Mohsin Zafar Pavlo Varoon Silochan Vyacheslav Boychenko Ольга Ларькина Рустем Жумагулов

If you learned this course or plan to learn then add it to your Personal Education Path or your Education Passport

Similar courses

Courses related to the course subject

13 0 0

Advanced Analytic Methods in Science and Engineering is a comprehensive treatment of the advanced methods of applied mathematics.

10 0 0

This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such as ordinary di…

8 0 0

This graduate-level course focuses on current research topics in computational complexity theory. Topics include: Nondeterministic…

The topics for this course cover various aspects of complexity theory, such as  the basic time and space classes, the po…

16 0 0

The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various…

37 0 0

Ce cours introduit le concept de Probabilité, dont la puissance permet de modéliser d'innombrables situations où le hasar…

17 0 0

The foundations of Algebra from The Khan Academy.

12 0 0

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, a…

15 0 0

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings,…

16 0 0

Algebra+ is a 10-week online course designed for students who have successfully completed high school algebra but who placed into…

Let us know when you did the course MA232: Abstract Algebra II.

Started on: Completed on:
Your grade (if any):
Comments:

Add the course MA232: Abstract Algebra II to My Personal Education Path.

Start the course on:
Duration of study:
Notes:

Successfully added to your path.

View your path

Select what exam to connect to the course. The course will be displayed on the exam page in the list of courses supported for certification with the exam.


Notes about how the exam certifies students of the course (optional):