| Assigned | Problems | Turn In | Reading |
| 1/16 | Lax page 6, exercises 1, 4, 6 - 9, 13 - 15, 17 | Lax page 6, exercises 1, 8, 17 on Thursday 1/23 | read Section 1.1 in Lax |
| 1/21 | Lax page 16, exercises 1, 2, 3, 5 | read Section 1.2 in Lax | |
| 1/23 | Lax page 16, exercises 6 - 10 | Lax page 16, exercises 2, 6, 10 these will be collected on Tuesday 2/4 | |
| 2/4 | Lax page 16, exercise 12 Supplement 1 page 13, exercises 3, 5, 7, 8 |
Lax page 16, exercise 5 Supplement 1 page 13, exercises 3(c), 5(c) on Tuesday 2/11 | read Section 1.1 in Supplement 1 |
| 2/6 | Supplement 1 page 14, exercises 8, 9, 12 Supplement 1 page 22, exercises 1, 7, 11 Find all integers that can be expressed as 12m+30n, where m and n are integers |
all of these except p. 14 #9 and p. 22 #1 on Tuesday 2/18 |
read Section 1.2 in Supplement 1 |
| 2/11 | Supplement 1 page 32, exercises 1, 3, 5, 6 | read Section 1.3 in Supplement 1 | |
| 2/13 | Supplement 1 page 33, exercises 7, 8, 10, 12, 15 | ||
| 2/15 | Supplement 1 page 33, exercises 18, 19, 20, 24 Supplement 1 page 43, exercises 1, 2, 4, 5 |
read Section 1.4 in Supplement 1 | |
| 2/18 |
Supplement 1 page 43, exercises 3, 8, 9 Find all units and zero divisors in Z18 Compute 676(mod 13), 91001(mod 11), 225(mod 21), 766(mod 120) Compute φ(32), φ(33), φ(120), φ(384) |
Supplement 1 pages 32-34 #3(d), 10, 18 Supplement 1 page 43 #2(a), 4 and possible others will be collected later (probably Thursday 2/27) |
Note: Exam 1 will take place Thursday 2/27 covering sections 1.1 and 1.2 in Lax and Supplement 1 |
| 2/24 | Turn in on Thursday 2/27: Supplement 1 pages 32-34 #3(d), 10, 18 Supplement 1 page 43 #2(a), 4 Find all units and zero divisors in Z18 Compute 676(mod 13), 766(mod 120) Compute φ(120), φ(384) |
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| 3/6 | Lax page 171, #2, 3, 7, 8, 9 Supplement 2 page 425, #1, 2, 5, 6 |
some of these will be collected Thursday 3/13 | Read Lax IV.5 (pages 164 - 170) Read Supplement 2 |
| 3/11 | Lax page 60, #1 - 8 (some collected later) | Lax page 171, #7, 8 Supplement 2 page 425, #1 on Thursday 3/13 |
Read Lax III.1 and III.2 |
| 3/13 | Lax page 66, #1, 3, 5 - 7, 11 - 13, 16 \[\text{Let}\ X=\begin{bmatrix} -1& -1\\ \phantom{-}1 & \phantom{-}0 \end{bmatrix}\ \text{and}\ Y=\begin{bmatrix} 0& 1\\ 1 & 0 \end{bmatrix}\ \text{and let}\ S\ \text{be the set of all (finite) }\] 'words' in X and Y, matrices of the form XaYbXcYd...XmYn, with a,b,c,d...m,n integers. Find the cardinality of S, and a multiplication table for S. |
some of these and those from 3/11 will be collected Th. 3/20 | Read Lax III.2 and III.3 |
| 3/18 | Lax page 74, #5 - 13 |
Lax page 61 #6, page 67 #6, 12, 13 on Th. 3/20 | Read Lax III.3 |
| 3/20 | Lax page 74, #14, 15, 17 - 20 | ||
| 3/25 | Lax page 79, #1 - 11 (some will be collected later) | The matrix problem from 3/13 Lax page 74, #14, 17, 19 on Th. 3/27 |
Read Lax III.4 |
| 3/27 | Lax page 115, #1, 2, 3, 5, 6, 8, 9 (some will be collected later) | Read Lax III.8 | |
| 4/1 | Lax page 115, #10, 11 | Lax page 79, #3, 9 Lax page 115, #1, 7 on Th. 4/3 |
Exam 2 will be Th. 4/10 covering encryption, Lax Ch. III, etc |
| 4/3 | Lax page 124, #1 - 8 | Read Lax III.9, Supplement 3 | |
| 4/8 | Turn in Thursday 4/10: Lax page 79 #3, 9 Lax page 115 #4, 6 Lax page 124 #3, 5 |
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| 4/22 | Lax page 144, #1 - 4, 7 - 10, 13, 14 Lax page 150, #3, 7, 9, 12, 17 - 19 |
some collected later | Read Lax IV.1, IV.2 |
| 4/22 | Lax page 213, #1 - 5 Lax page 223, #2, 4, 6, 8 |
Turn in Thursday 5/1: page 144 #9, page 150 #12, page 223 #2, 8 | Read Lax V.1, V.2 |
| 4/29 | Lax page 234, #1, 2, 8, 9 Lax page 242, #1, 2, 4 |
Read Lax V.3, V.4 | |
| 5/1 | Lax page 242, #5, 6 Lax page 249, #1, 2, 6 |
Read Lax V.5 |
Dan Cohen Spring 2014 Back to MATH 4023; to my homepage.