18.703 | Spring 2013 | Undergraduate

Modern Algebra

Calendar

LEC # TOPICS KEY DATES
1 Groups  
2 Subgroups  
3 Cosets  
4 Cyclic Groups HW 1 Due
5 Permutation Groups  
6 Conjugation in Sn  
7 Isomorphisms HW 2 Due
8 Homomorphisms and Kernels  
9 Quotient Groups HW 3 Due
10 The Isomorphism Theorems  
11 The Alternating Groups HW 4 Due
12 Presentations and Groups of Small Order  
13 Sylow Theorems and Applications HW 5 Due
14 Rings HW 6 Due
E1 Midterm 1  
15 Basic Properties of Rings  
16 Ring Homomorphisms and Ideals HW 7 Due
17 Field of Fractions HW 8 Due
18 Prime amd Maximal Ideals  
19 Special Domains HW 9 Due
20 Euclidean Domains  
E2 Midterm 2 HW 10 Due
21 Polynomial Rings  
22 A Quick Primality Test HW 11 Due
23 Group Actions and Automorphisms  
24 Review  
E3 Final Exam  

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Spring 2013
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