General Information | Syllabus | Homework Assignments | Exam Related | Class Material |
Lectures | Chapter in the Textbook | Brief Description |
---|---|---|
Day 1: January 5, Wednesday | Chapter 0 | Properties of Integers |
Day 2: January 7, Friday | Chapter 0 | Modular Arithmetic; Mathematical Induction |
January 8, Saturday | Classes moved to the X-hour | |
Day 3: January 10, Monday | Chapters 0 and 1 | Equivalence Relations; The Dihedral Groups |
Day 4: January 12, Wednesday | Chapter 2 | Definitions and Examples of Groups |
Day 5: January 13, Thursday X-hour instead of January 8 |
Chapters 2 and 3 | Properties of Groups; Finite Groups; Subgroups |
Day 6: January 14, Friday | Chapter 3 | Subgroup tests |
January 17, Monday | Martin Luther King Jr. Day. Classes moved to the X-hour | |
January 18, Tuesday | Last day to add a course | |
Day 7: January 19, Wednesday | Chapter 4 | Cyclic groups |
January 20, Thursday | First 50-minute quiz (during the X-hour) | |
Day 8: January 21, Friday | Chapter 4 | Classification of Subgroups of Cyclic groups |
Day 9: January 24, Monday | Chapter 5 | Permutation Groups |
Day 10: January 26, Wednesday | Chapters 5 and 6 | Properties of Permutations; Isomorphisms |
Day 11: January 27, Thursday X-hour instead of January 17 |
Chapter 6 | Properties of Isomorphisms; Automorphisms |
Day 12: January 28, Friday | Chapter 7 | Cosets and Lagrange's Theorem |
Day 13: January 31, Monday | Chapter 7 | Fermat's Little Theorem; Orbits and stabilizers |
Day 14: February 2, Wednesday | Chapter 8 | External Direct Products |
February 2, Wednesday | Take home midterm exam (due Monday, February 7) | |
Day 15: February 4, Friday | Chapter 8 | Applications of Group Theory: RSA Algorithm |
Day 16: February 7, Monday | Chapter 9 | Normal Subgroups and Factor Groups |
Day 17: February 9, Wednesday | Chapter 9 | Applications of Factor Groups |
February 11, Friday | Winter Carnival holiday. Classes moved to the X-hour | |
Day 18: February 14, Monday | Chapter 10 | Group Homomorphisms |
Day 19: February 16, Wednesday | Chapter 10 | The First Isomorphism Theorem |
Day 20: February 17, Thursday X-hour instead of February 11 |
Chapter 12 | Rings and Their Properties; Examples of Rings |
Day 21: February 18, Friday | Chapter 13 | Integral Domains |
Day 22: February 21, Monday | Chapter 13 | Fields; Characteristic of a Ring |
Day 23: February 23, Wednesday | Chapter 14 | Ideals and Factor Rings |
February 23, Wednesday | Last day to drop a course | |
February 24, Thursday | Second 50-minute quiz (during the X-hour) | |
Day 24: February 25, Friday | Chapters 14 and 15 | Prime Ideals and Maximal Ideals; Ring Homomorphisms |
Day 25: February 28, Monday | Chapter 15 | Properties of Ring Homomorphisms |
Day 26: March 2, Wednesday | Chapter 16 | Polynomial Rings |
Day 27: March 4, Friday | Chapter 17 | Factorization of Polynomials |
Day 28: March 7, Monday | Chapter 20 | Extension Fields |
Day 29: March 9, Wednesday | — | Review etc. |