Lectures
Office Hours
T/R after 2pm short questions only, please. (Department Seminar M 4:40
Discrete Seminar T 4:40)
Textbook
| Instructor: Robert Ellis | Office: E1 Bldg, Rm 105C | Email:
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Lectures |
TR 3:15-4:30pm | E1 Bldg. 102 |
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Office Hours |
Just drop in. T/R after 2pm short questions only, please. (Department Seminar M 4:40 Discrete Seminar T 4:40) |
Office phone 567-5336 |
| Appointments and emailed questions are welcome | ||
|
Textbook |
Gallian, Contemporary Abstract Algebra, 6th edition, Houghton Mifflin | |
First day handout (pdf) (course contract & exam schedule)
| Exams | |||||
|---|---|---|---|---|---|
| Exam 1 Exam 1 Key | Exam 2 Exam 2 Key | Final Exam Final Key | |||
| Practice Exams | |||||
| Term | Exam 1 | Exam 2 | Exam 3 | Final | |
| Fall `06 | exam, key | key | exam, key | exam, key | |
| Due Date | Reading1 | Group Homework2 |
|---|---|---|
| T 8/26 | Chapter 0 (Preliminaries) | |
| R 8/28 | Chapter 1 (Intro to Groups) | Chapter 0: 2, 4, 8, 16, 24, 30, 36, 48, 53, Computer Exercise 5. (53 has a brief solution in the text; I am looking for a full, clear written solution.) |
| T 9/2 | Chapter 2 (Groups): through first paragraph, p.50 |
|
| R 9/4 | Chapter 2 (Groups) | Chapter 1: 6, 8, 14, 16 Problem A: Give an example of a glide reflection, composed of a nontrivial reflection and nontrivial translation, that is a plane symmetry of a bounded figure (such as the square). Label the operations and appropriate distances in a diagram, and give the equivalent reflection. Problem B: Describe how to generate an infinite hexagonal lattice from a single hexagon and plane symmetries. Then describe the set of plane symmetries of the lattice. |
| T 9/9 | Chapter 3 (Finite Groups; Subgroups): through end of Theorem 3.3 |
|
| R 9/11 | Chapter 3 (Finite Groups; Subgroups) | Chapter 2: 6, 8, 12, 14, 18, 26, 32, 34 (Hint: associativity is
inherited); Computer exercise 4, p57 (Write details!) |
| T 9/16 | Read through Chapter 3B:
Subroups & Chapter 4 pp73--76 (Cyclic Groups) |
|
| R 9/18 | Chapter 4 (Cyclic Groups) | Chapter 3: 4, 8, 10, 14, 20, 30, 38, 42, 44, 50, 52 Computer Exercise, p.71: 2 (Get started early -- I am expecting questions!) |
| T 9/23 | Review Chapter 4, especially "Fundamental" Theorem 4.3 | |
| R 9/25 | Chapter 5 pp94--99 (Permutation Groups) | Chapter 4: 14, 16, 24, 28 (see 12), 32, 36, 40, 46, 50, 54 (see 40) |
| R 10/2 | Chapter 5 pp94--103 (Permutation Groups) | Chapter 4: 44, 50 58, 64 Ch4 Computer Exercises (write down data!): 3, 5 Ch 1-4 Suppl. Ex. (p90): 4, 34 Ch5 Permutation Groups: 2, 4, 8 |
| T 10/7 | Chapter 5 all pages (Permutation Groups) | |
| R 10/9 | Chapter 5 all pages (Permutation Groups) Turn in Chapter 5B: Permutations |
Chapter 5: 6, 14, 18, 26, 32, 34, 36, 46 Ch4 Computer Exercise (write down data): 1 |
| T 10/14 | Chapter 6 pp120-129 |
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| R 10/16 | Fall Break, no class | |
| T 10/21 | Exam 1 on Chapters 0-5 and material in Chapter 6 covered on T 10/14 | All 2nd tries on group activities through 5B are due |
| R 10/23 | Chapter 6 all pages | Chapter 5: 38, 42, 50, 54 Chapter 6: 6, 18, 22 |
| T 10/28 | Chapter 7 through Corollary 5 of Lagrange's Theorem | |
| R 10/30 | Chapter 7 all pages | Chapter 6: 10, 14, 26, 38, 40 |
| R 11/6 | Chapter 7 p144-147, Chapter 8 p153-155 | |
| T 11/11 | Chapter 8 all pages |
Chapter 7: 4, 6, 10, 12, 18, 38, 42 Chapter 7 Computer Exercise: 1 (write down data) |
| R 11/13 | Chapter 8 all pages, particularly 159-165 | Chapter 8: 4, 6, 12, 20 |
| T 11/18 | Chapter 9, p177-185 | |
| R 11/20 | Chapter 9, all pages |
Chapter 8: 38, 40, 44, 52, 58, 64
Chapter 9: 2, 8, 10, 12, 14 |
| T 11/25 |
Exam 2, Chapter 5 through Group Activity 8C Not intended as "cumulative", but unavoidably it will contain Chapter 1-4 material |
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| T 12/2 | No reading assignment | |
| R 12/4 | Chapter 10 through p.205 | Homework not for grade, optional turn-in 4:30pm Friday for feedback
(what does this mean?4 ) This material will be on the final! Chapter 9: 4, 21, 24, 32, 34, 36, 39, 44, 50, 52, 58, 66 Chapter 10: 2, 4, 6, 8, 10 |
1. Each day starting 8/26 except for exam days the quiz dice will be rolled. On a 2, 3, 4, or 5, a quiz will be given covering the reading due that day.
2. See the first day handout for instructions on working and submitting group homework.
3. Group activity worksheets are due for a participation grade. They will be graded for correctness, and you will have one chance for resubmitting correct work.
4. Feedback on last work. Work as a group and turn in the problems you are not sure about for feedback. Don't turn in the problems you are sure of. Being sure means being sure of every step along the way. If there look like too many problems try a couple and skip a couple, etc.
page maintained by Robert Ellis / http://math.iit.edu/~rellis/
