Math 503
Problem Set #10
Due the week of March 26, 2007, in lab.
Read Artin, Chapter 13, sections 1-3.
Part A:
From Artin, do these problems (given at the end of Chapter 12): Miscellaneous problems
8, 9.
From Artin, do these problems (given at the end of
Math 503
Problem Set #8
Due the week of March 12, 2007, in lab.
Read Artin, Chapter 12, sections 4-5.
Part A:
From Artin, do these problems (given at the end of Chapter 12):
12.1: 7; 12.2: 2, 5; 12.4: 1(b); 12.5: 1 (rst matrix only), 6.
Part B:
1. Let R b
Math 503
Problem Set #7
Due the week of Feb. 26, 2007, in lab.
Reminder: There will be an exam in class on Mon., Feb. 26, on the material covered up
through the week before (through Section 12.2 of Artin.)
Read Artin, Chapter 12, sections 1-5.
Part A:
Fro
Math 503
Problem Set #6
Due the week of Feb. 19, 2007, in lab.
Read Artin, Chapter 11, sections 4-11.
Part A:
From Artin, do these problems (given at the end of Chapter 11):
Section 11.4: 1(a,c,e); 11.5: 2; 11.6: 1 (verify explicitly); 11.8: 1; Miscellane
Math 503
Problem Set #5
Due the week of Feb. 12, 2007, in lab.
Read Artin, Chapter 11, sections 1-3, 5.
Part A:
From Artin, do these problems (given at the end of Chapter 11):
Section 11.1: 1, 15; 11.2: 8 [Hint: Euclidean algorithm]; 11.3: 4, 9; 11.5: 1,
Math 503
Problem Set #4
Due the week of Feb. 5, 2007, in lab.
Read Artin, Chapter 10, sections 7,8; Chapter 11, section 1,2.
Part A:
From Artin, do these
Section 10.7: 6; 10.8:
From Artin, do these
Section 11.1: 9; 11.2:
problems (given at the end of Chap
Math 503
Problem Set #3
Due the week of Jan. 29, 2007, in lab.
Read Artin, Chapter 10, sections 5-8.
Part A:
From Artin, do these problems (given at the end of Chapter 10):
Section 10.5: 2, 4, 6; 10.7: 3, 7, 10 (and relate your answer to the last problem
Math 503
Problem Set #2
Due the week of Jan. 22, 2007, in lab.
Read Artin, Chapter 10, sections 4-7.
Part A:
From Artin, do these problems (given at the end of Chapter 10):
Section 10.3: 23, 30 (in #30, IJ denotes the product ideal of I and J ); Section 1
Math 503
Problem Set #1
Due the week of Jan. 15, 2007, in lab.
Read Artin, Chapter 10, sections 1-3 and 6.
Part A:
From Artin, do these problems (given at the end of Chapter 10):
Section 10.1: 11(a,b), 13; Section 10.3: 4, 22, 29; Section 10.6: 2, 4.
Part
Math 503
Problem Set #13
Due the week of April 16, 2007, in lab.
Reminder: There will be an exam in class on Wed., April 18, on the material beyond what
was covered on the rst exam (i.e. beyond Section 12.2 of Artin).
Read Artin, Chapter 14, sections 2-7.
Math 503
Problem Set #12
Due the week of April 9, 2007, in lab.
Read Artin, Chapter 13, sections 6-9; and Chapter 14, section 1.
Part A:
From Artin, do these problems (given at the end of Chapter 13): Section 13.5: 1; 13.6: 7,
10; 13.8: 1; miscellaneous p
Math 503
Problem Set #11
Due the week of April 2, 2007, in lab.
Read Artin, Chapter 13, sections 3-5.
Part A:
From Artin, do these problems (given at the end of Chapter 13): Section 13.3: 3(a-d), 6,
10, 12, 15; 13.4: 1; 13.5: 4.
Part B:
1. a) Prove that i
Math 503
Problem Set #9
Due the week of March 19, 2007, in lab.
Read Artin, Chapter 12, sections 5-7.
Part A:
From Artin, do these problems (given at the end of Chapter 12):
12.5: 5; 12.6: 1, 2, 4; 12.7: 1, 2 (also nd the rational canonical form), 6.
Part