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Course Info

Instructor:
  • Prof. James McKernan
Course Number:
  • 18.703
Departments:
  • Mathematics
As Taught In: Spring 2013
Level: Undergraduate

Topics

  • Mathematics
    Algebra and Number Theory

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
grading Exams
co_present Instructor Insights
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Course Info
Modern Algebra
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Lecture Notes

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LEC # TOPICS
1 Groups (PDF)
2 Subgroups (PDF)
3 Cosets (PDF)
4 Cyclic Groups (PDF)
5 Permutation Groups (PDF)
6 Conjugation in Sn (PDF)
7 Isomorphisms (PDF)
8 Homomorphisms and Kernels (PDF)
9 Quotient Groups (PDF)
10 The Isomorphism Theorems (PDF)
11 The Alternating Groups (PDF)
12 Presentations and Groups of Small Order (PDF)
13 Sylow Theorems and Applications (PDF)
14 Rings (PDF)
15 Basic Properties of Rings (PDF)
16 Ring Homomorphisms and Ideals (PDF)
17 Field of Fractions (PDF)
18 Prime amd Maximal Ideals (PDF)
19 Special Domains (PDF)
20 Euclidean Domains (PDF)
21 Polynomial Rings (PDF)
22 A Quick Primality Test (PDF)
23 Group Actions and Automorphisms (PDF)
24 Review [No lecture notes]

Course Info

Instructor:
  • Prof. James McKernan
Course Number:
  • 18.703
Departments:
  • Mathematics
As Taught In: Spring 2013
Level: Undergraduate

Topics

  • Mathematics
    Algebra and Number Theory

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
grading Exams
co_present Instructor Insights
MIT Open Learning
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