**Lectures:** Tuesday-Thursday 11:00AM-12:30PM (Berkeley Time) Online starting March 10

**Professor:** Semeon Artamonov

**Textbook:** John B. Fraleigh, A First Course in Abstract Algebra, 7th edition

**Office Hours:** Tuesday-Thursday 12:40PM-2:10PM (or by Appointment) Online starting March 10

**GSI:** Benjamin Castle

**GSI Office Hours:** Monday 2-4 PM, Tuesday 2-5 PM, Wednesday 9:30-11:30 PM, Thursday 12-3 PM Online starting March 16

- Homework 1,
**Due Jan. 30:**- Section 0, ex. 18, 19, 30, 31, 32;
- Section 1, Problems A, B (by the link);
- Section 2, ex. 36, 37;
- Section 3, ex. 8, 10, Problems C, D (by the link), 27, 28.

- Homework 2,
**Due Feb. 6:**- Section 4, ex. 8, 32, 34;
- Section 5, ex. 13, 27, 52, 54;
- Section 6, ex. 18, 44, 51, Problems A,B (by the link).

- Homework 3,
**Due Feb. 13:**- Section 7, ex. 3, 19;
- Section 8, ex. 36, 41, 42, 44, 51, 52, Promlems A, B* (by the link).

- Homework 4,
**Due Feb. 20:**- Section 9, ex. 3, 9, 19, 29, 31, 32, 37, Promlems A, B (by the link).

- Homework 5,
**Due Feb. 27:**- Section 10, ex. 4, 15, 28, 29, 30;
- Section 11, ex. 5, 16, 18, 39, 43, 44.

- Homework 6,
**Due Mar. 5:**- Section 12, ex. 1, 2, 16, 17, 18, 38, Promlem A (by the link).

- Homework 7,
**Due Mar. 12:**- Section 13, ex. 8, 10, 15, 19, 43, 49, 50, Promlems A, B* (by the link);
- Section 14, ex. 6, 15, 24, 31, 32.

- Homework 8,
**Due Mar. 19:**- Section 15, ex. 5, 35, 36, 39
- Section 39, ex. 1, 2, 3, 4, Promlems A, B (by the link).

- Homework 9,
**Due Apr. 2:**- Section 40, ex. 3, Promlems A, B* (by the link).
- Section 18, ex. 11, 12, 20, 32, 41, 52, Promlems C, D (by the link).

- Homework 10,
**Due Apr. 9:**- Section 19, ex. 3, 10, 14, 26, 30, Problems A, B, C* (by the link).

- Homework 11,
**Due Apr. 16:**- Section 20: Problems A, B, C, D*, 27, 28
- Section 21: 12, 13, 14, 17

- Homework 12,
**Due Apr. 23:**- Section 22: ex. 1, 6, Problems A, B (by the link)
- Section 23: ex. 1, 30, 37

- Homework 13,
**Due Apr. 30:**- Section 26: 17, 20, 30, Problems A, B, C* (by the link)
- Section 27: 2, 25, 34, 35, 37, (+ recommended problems not for the grade: 26*, 27*)

Tue, Jan. 21 | Motivation for Abstract Algebra, Sets and Equivalence relations | §0-§1 |

Thu, Jan. 23 | Binary Structures and Isomorphisms between them | §2-§3 |

Tue, Jan. 28 | Groups and Subgroups | §4-§5 |

Thu, Jan. 30 | Cyclic groups | §6 |

Tue, Feb. 4 | Generating sets and Cayley diagrams | §7 |

Thu, Feb. 6 | Group of Permutations | §8 |

Tue, Feb. 11 | Orbits and Cycles, Even and Odd Permutations | §9 |

Thu, Feb. 13 | The Alternating Group | §9 |

Tue, Feb. 18 | Cosets and Lagrange's Theorem | §10 |

Thu, Feb. 20 | Direct Products and Finitely Generated Abelian Groups | §11 |

Tue, Feb. 25 | Group of plane isometries | §12 |

Thu, Feb. 27 | Midterm I | |

Tue, Mar. 3 | Group Homomorphisms | §13 |

Thu, Mar. 5 | Fundamental Homomorphism Theorem and Factor Groups | §14 |

Tue, Mar. 10 | Simple Groups, Center, and Commutator Subgroups | §15 |

Thu, Mar. 12 | Free Groups and Homomorphisms of Free Groups | §39 |

Tue, Mar. 17 | Group Presentations | §40 |

Thu, Mar. 19 | Rings and Ring Homomorphisms | §18 |

Tue, Mar. 24 | No class, Spring Break | |

Thu, Mar. 26 | No class, Spring Break | |

Tue, Mar. 31 | Midterm II | |

Thu, Apr. 2 | Integral Domains | §19 |

Tue, Apr. 7 | Fermat and Euler Theorems | §20 |

Thu, Apr. 9 | The Field of Fractions of an Integral Domain | §21 |

Tue, Apr. 14 | Ring of Polynomials | §22 |

Thu, Apr. 16 | Irreducible Polynomials | §23 |

Tue, Apr. 21 | Ring Homomorphisms and Factor Rings | §26 |

Thu, Apr. 23 | Prime and Maximal Ideals | §27 |

Tue, Apr. 28 | Principal Ideal Domains and Unique Factorization Domains | §45 |

Thu, Apr. 30 | Algebraic Varieties and Ideals | §28 |