Homeworks are due by the beginning of class in my mailbox in the Eckhart basement, or immediately after class in my hands. Please don't work on the homework during class, though!
There are both reading and written assignments - please do them both.
You usually won't have to hand in Practice Problems, but please do them - they are very, very helpful in understanding the text.
Assignment |
Due Date |
| Read Chapter Zero, Chapters 1.1-1.2 | Wednesday, March 31st |
| Do exercises 0.2, 0.5, 0.6, and 0.8. | Friday, April 2nd |
| Read the rest of Chapter 1 | Monday, April 5th |
| Do exercises 1.1, 1.2, 1.3, 1.7, 1.10, 1.14, and 1.16(b,d,f,g) | Wednesday, April 7th |
| Read Chapter 2.1 | Friday, April 9th |
| Do exercises 1.19, 1.21(a,b,e), 1.27a, and 1.30. | Friday, April 9th |
| Tell me in one paragraph what you thought about one's digit arithmetic (what was interesting, what was surprising, what was expected, and so on). This is an assignment for the discussion forum on Chalk! If you do not have access, please email me immediately so I can give it to you. | Friday, April 9th |
| Read the rest of Chapter 2 | Monday, April 12th |
| Do exercises 2.1, 2.4(a,c,f), 2.8(a,b) (Z is the set of all zero-divisors including zero), 2.9, 2.11, 2.12(a,c), and 2.15. Also, write out a solution to practice problem 2.2 without using Theorem 2.4 (that is, directly from the axioms). | Wednesday, April 14th |
| Do exercises 1.14, 2.20(a,b), 3.2, 3.7(a,c,g,h), 3.8, 3.10, and 3.12 | Friday, April 23rd |
| Read all of Chapter 3; also read 4.1 and 4.2 | Monday, April 26th |
| Do exercises 3.3, 3.5, 3.12, 3.17, 4.1, 4.2, and 4.3(a,c,e) | Wednesday, April 28th |
| History Assignment | Monday, May 3rd |
| Do exercises 4.2, 4.4, 4.5, 4.13, 4.20, 4.23, 5.4, and 5.9; also, write the answer to practice problem 4.4 in your own words (the answer on p.127 is a little concise!), and solve exercise 4.9 by any means necessary | Friday, May 7th |
| Read Chapter 6 | Monday, May 10th |
| Do exercises 6.1(a,c), 6.3(b,c), 6.5(a,b,c), 6.8, 6.11, 6.13, and 6.19 . Also, write out and fill in both full tables for modulo 7 arithmetic. | Wednesday, May 12th |
| Read Chapter 7.1 and 7.3 | Wednesday, May 12th |
| Complete the 'multiplication' table for the dihedral group of order six we did in class. Draw the triangles for an example showing it is not commutative, like in class but a different example. Also do exercises 6.14, 6.21, 6.30, 7.1, 7.10(a,c) and 7.11(b,d). | Monday, May 17th |
| Do exercises 6.29, 6.30, and 6.37. From the handout, do the exercises for the Euler phi-function, Euler's Theorem, and Sending Messages. | Wednesday, May 2nd |
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