MATH 4023 Applied Algebra

Homework Assignments

Assigned from Lax Modern Algebra and Discrete Structures, and from Supplements.
Assigned Problems Turn In Reading
8/22 Lax page 6, exercises 1, 4, 6 - 9, 13 - 15, 17 Lax page 6, #1, 8, 17 at the beginning of class Mon. 8/29 read Section 1.1 in Lax
8/29 Lax page 16, exercises 1 - 3, 5, 6 - 10 some will be collected next week read Section 1.2 in Lax
9/2 Supplement 1 page 14, exercises 3, 5, 7 - 10 some will be collected next week read Section 1.1 in Supplement 1
9/7 Lax p. 16 #5, 7, Supplement 1 p. 14 #3(c), 5(c), 12 turn these in Mon. 9/12  
9/12 Supplement 1 page 14, exercises 7 - 9
Supplement 1 page 22, exercises 1, 7, 11
Find all integers that can be expressed as 12m+30n, where m and n are integers		 turn in p. 22 #7, 11, and the 12m+30n problem on Friday 9/16 read Section 1.2 in Supplement 1
9/12 Supplement 1 page 32, exercises 1, 3, 5, 6 some collected later read Section 1.3 in Supplement 1
9/16 Supplement 1 page 32, exercises 7, 8, 10, 12, 15 some collected later  
9/19 Supplement 1 page 34, exercises 18, 19, 20, 24, 26
Can you figure out how this is done?   mathmagic		 turn in Supp. 1, p. 32-34, #3(d), 10, 18 on Fri. 9/23 start reading Section 1.4 in Supplement 1
9/21 Supplement 1 page 43, exercises 1, 2, 4, 5 some collected later read Section 1.4 in Supplement 1
9/23 Supplement 1 page 43, exercises 3, 8, 9
Find all units and zero divisors in Z18
 some collected later
(probably Friday 9/30)		 Note: Exam 1 will take place Friday 9/30 covering sections 1.1 and 1.2 in Lax and Supplement 1
9/26 Compute φ(32), φ(33), φ(120), φ(384)
Compute 676(mod 13), 91001(mod 11), 225(mod 21), 766(mod 120) 		some collected later
(probably Friday 9/30)		  
9/28   on Fri. 9/30 turn in
Supp. 1, p. 43 #2(a), 8
Find all units and zero divisors in Z18
Compute 766(mod 120)		  
10/3 Lax page 171, #2, 3, 7, 8, 9
Supplement 2 page 425, #1, 2, 5, 6 		some of these will be collected Wednesday 10/12 Read Lax IV.5 (pages 164 - 170)
Read Supplement 2
10/10 Lax page 60, #1 - 8 (some collected later) Lax page 171, #7, 8
Supplement 2 page 425, #1
on Wednesday 10/12		 Read Lax III.1 and III.2
10/12
(?) 		Lax page 66, #1, 3, 5 - 7, 11 - 13, 16
(some collected later) 		Lax page 60, #5, 6
and some from page 66 next week		 Read Lax III.2 and III.3
10/17   Lax page 60, #5, 6
Lax page 67, #6, 12, 13
on Friday 10/21		  
10/21 Lax page 74, #5 - 15, 17 - 20 some collected later Read Lax III.3
10/24 Lax page 79, #1 - 11 (some collected later) Lax page 74, #14, 17, 19
on Friday 10/28 		Read Lax III.4
10/28 Lax page 115, #1 - 11 (some will be collected later)   Read Lax III.8
10/31   Lax page 79, #3, 9; page 115, #4, 7
on Friday 11/4		  
11/2     start reading Lax III.9
11/4 Lax page 124, #1 - 8 Read Lax III.9, Supplement 3
Note: Exam 2 will likely take place Monday 11/14, covering
material we've discussed on encryption, group theory
11/9 Lax page 124, #3, 5
Supplement 3 page 235 #5, 7
on Monday 11/14		  
11/11   read the proof of the Burnside Theorem, Lax page 123
11/16 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
11/21 Lax page 213, #1 - 5
Lax page 223, #2, 4, 6, 8 		Turn in Wednesday 11/30:
page 144 #9, 13, page 223 #2, 8		 Read Lax V.1, V.2
11/23 Lax page 234, #1, 2, 8, 9
Lax page 242, #1, 2, 4 		Read Lax V.3, V.4
11/28 Lax page 234, #1, 2, 8, 9
Lax page 242, #1, 2, 4, 5, 6 		Read Lax V.3, V.4
12/2 Lax page 249, #1, 2, 6 Read Lax V.5