## Mathematics 250A Algebra

Fall, 2020 tuth 8:10-9:30am online university.

Group theory, including the Jordan-Hölder theorem and the Sylow theorems. Basic theory of rings and their ideals. Unique factorization domains and principal ideal domains. Modules. Chain conditions. Fields, including fundamental theorem of Galois theory, theory of finite fields, and transcendence degree.

## Graduate Student Instructor

Examinations, very approximate class schedule, practice and old exams, random links.

## Mathematics 55A

Studies in algebra and group theory (113627).

2023 Fall (4 Credits)

Schedule: MWF 10:30 AM - 11:45 AM

Instructor Permission: Instructor

Enrollment Cap: n/a

A rigorous introduction to abstract algebra, including group theory and linear algebra. This course covers the equivalent of Mathematics 25a and Mathematics 122, and prepares students for Mathematics 123 and other advanced courses in number theory and algebra. (A course in analysis such as Mathematics 25b or 55b is recommended for Spring semester.)

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## VIDEO

## COMMENTS

Skills you'll gain: Algorithms, Theoretical Computer Science, Computer Programming, Data Structures, Problem Solving, Mathematics, Computational Thinking, Computer Programming Tools, Computational Logic, Critical Thinking, Graph Theory, Programming Principles, Mathematical Theory & Analysis, C++ Programming, Algebra, Software Testing 4.6

English English [Auto] A First Course in Abstract Algebra: Group Theory,Ring Theory 3.0 (42 ratings) 1,636 students What you'll learn [ Updated ( August - 2022) with new Video lectures ] Abstract Algebra - Group Theory and Ring Theory Group theory with all types of groups, including Sub group, Commutative group, Cyclic Group, Permutation group

A rigorous introduction to abstract algebra, including group theory and linear algebra. This course covers the equivalent of Mathematics 25a and Mathematics 122, and prepares students for Mathematics 123 and other advanced courses in number theory and algebra. (A course in analysis such as Mathematics 25b or 55b is recommended for Spring semester.)

This is a college level course in Abstract Algebra with a focus on GROUP THEORY:) Note: Abstract Algebra is typically considered the one of HARDEST courses a mathematics major will take. This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation. Basically just,

Introduction to Abstract Mathematics About the Course Introduction to Abstract Mathematics Grade 10+ CTY-Level Individually Paced Construct logical arguments as a proof to verify mathematical statements in this college-level course that follows Multivariable Calculus and builds upon Linear Algebra.