Calendar · Lecture Notes
MIT OpenCourseWare
Modern Algebra
Art: Max Brückner (1860 – 1934), Brückner Vielflache Tafel 07 · Public domain
- Instructor
- Prof. James McKernan
- Term
- Spring 2013
- Level
- Undergraduate
- What's inside
- 3 exams · 1 lecture note · 1 reading · 34 other files · 6 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 18.703 Modern Algebra, Spring 2013, Prof. James McKernan — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.
Not included here
11 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (11 items)
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
23 files
- 18.703 Modern Algebra, A quick primality test Download
- 18.703 Modern Algebra, Basic Properties of Rings Download
- 18.703 Modern Algebra, Conjugation in Sn Download
- 18.703 Modern Algebra, Cosets Download
- 18.703 Modern Algebra, Cyclic Groups Download
- 18.703 Modern Algebra, Euclidean Domains Download
- 18.703 Modern Algebra, Field of Fractions Download
- 18.703 Modern Algebra, Group actions and automorphisms Download
- 18.703 Modern Algebra, Groups Download
- 18.703 Modern Algebra, Homomorphisms and kernels Download
- 18.703 Modern Algebra, Isomorphisms Download
- 18.703 Modern Algebra, Permutation groups Download
- 18.703 Modern Algebra, Polynomial rings Download
- 18.703 Modern Algebra, Presentations and Groups of small order Download
- 18.703 Modern Algebra, Prime and Maximal Ideals Download
- 18.703 Modern Algebra, Quotient Groups Download
- 18.703 Modern Algebra, Ring Homomorphisms and Ideals Download
- 18.703 Modern Algebra, Rings Download
- 18.703 Modern Algebra, Special Domains Download
- 18.703 Modern Algebra, Subgroups Download
- 18.703 Modern Algebra, Sylow Theorems and applications Download
- 18.703 Modern Algebra, The Alternating Groups Download
- 18.703 Modern Algebra, The isomorphism theorems Download
Assignments
11 files
- 18.703 Modern Algebra, Homework 1 Download
- 18.703 Modern Algebra, Homework 2 Download
- 18.703 Modern Algebra, Homework 3 Download
- 18.703 Modern Algebra, Homework 4 Download
- 18.703 Modern Algebra, Homework 5 Download
- 18.703 Modern Algebra, Homework 6 Download
- 18.703 Modern Algebra, Homework 7 Download
- 18.703 Modern Algebra, Homework 8 Download
- 18.703 Modern Algebra, Homework 9 Download
- 18.703 Modern Algebra, Homework 10 Download
- 18.703 Modern Algebra, Homework 11 Download
Exams
- 18.703 Modern Algebra, Exam 1 Download
- 18.703 Modern Algebra, Exam 2 Download
- 18.703 Modern Algebra, Exam 3 Download
Other materials from this course
Course outline
Calendar · Lecture Notes
Lecture 2: Subgroups
Calendar · Lecture Notes
Lecture 3: Cosets
Calendar · Lecture Notes
Lecture 4: Cyclic Groups
Calendar · Lecture Notes
Lecture 5: Permutation Groups
Calendar · Lecture Notes
Lecture 6: Conjugation in Sn
Calendar · Lecture Notes
Lecture 7: Isomorphisms
Calendar · Lecture Notes
Lecture 8: Homomorphisms and Kernels
Calendar · Lecture Notes
Lecture 9: Quotient Groups
Calendar · Lecture Notes
Lecture 10: The Isomorphism Theorems
Calendar · Lecture Notes
Lecture 11: The Alternating Groups
Calendar · Lecture Notes
Lecture 12: Presentations and Groups of Small Order
Calendar · Lecture Notes
Lecture 13: Sylow Theorems and Applications
Calendar · Lecture Notes
Lecture 14: Rings
Calendar · Lecture Notes
Lecture 15: Basic Properties of Rings
Calendar · Lecture Notes
Lecture 16: Ring Homomorphisms and Ideals
Calendar · Lecture Notes
Lecture 17: Field of Fractions
Calendar · Lecture Notes
Lecture 18: Prime amd Maximal Ideals
Calendar · Lecture Notes
Lecture 19: Special Domains
Calendar · Lecture Notes
Lecture 20: Euclidean Domains
Calendar · Lecture Notes
Lecture 21: Polynomial Rings
Calendar · Lecture Notes
Lecture 22: A Quick Primality Test
Calendar · Lecture Notes
Lecture 23: Group Actions and Automorphisms
Calendar · Lecture Notes
Lecture 24: Review
MIT OpenCourseWare, Prof. James McKernan, 18.703 Modern Algebra, Spring 2013.
License: CC BY-NC-SA 4.0 · Edition: Spring 2013 · Open the original course on OCW ↗
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