REMINDER: It is important that you know how to do problems in Group 2 even though they are not required to be turned in.
HW6: Due date: Preferably Tuesday June 4, but if you feel you need more
time then Thursday June 6. Please turn in the Group 1 problems
in the class to Kameran. Do not turn in other problems. If
you prefer to e-mail me a copy, that is fine, too.
Group 1. Section 14.4: Exercise 1, 4, 5; Section 14.5: Exercise 5, 7, 10;
Section 14.6: Exercise 8; Section 12.2: Exercise 4, 11, 18
The assignment list is complete now.
Group 2. Section 12.3: Exercise 21, 22, 32, 34
Group 3.
HW5: Due date: Tuesday May 13. Please turn in the Group 1 problems
in the class. Do not turn in other problems. If
you prefer to e-mail me a copy, that is fine, too.
Group 1. Section 14.2: Exercise 2, 3, 14, 16; Section 14.3: Exercise 1,
5, 7
The assignment list is complete now.
Group 2.
Group 3.
HW4: Due date: Tuesday April 30. Please turn in the Group 1 problems
in the class. Do not turn in other problems. If
you prefer to e-mail me a copy, that is fine, too.
Group 1. Section 13.5: Exercise 2, 4, 5, 6; Section 13.6:
Exercise 5, 6; Section 14.1: Exercise 4
The assignment list is complete now.
Group 2. Section 14.1: Exercise 1-3, 5-10
Group 3.
HW3: Due date: Tuesday April 23. Please turn in the Group 1 problems
in the class. Do not turn in other problems. If
you prefer to e-mail me a copy, that is fine, too.
Group 1. Section 13.4: Exercise 1, 2, 3, 4: Please also calculate the
degree of the splitting fields in question over the base field of rational
numbers; Exercise 5 and 6. Exercise 5 gives an important fact about splitting
fields. Please try to think about it and understand well what it says.
The assignment list is complete now.
Group 2. Section 13.5: Exercise 1, 3
Group 3.
HW2: Due date: Tuesday April 16. Please turn in the Group 1 problems
in the class. Do not turn in other problems. If
you prefer to e-mail me a copy, that is fine, too.
Group 1. Section 13.2: Exercise 1, 5, 7, 8, 10 (do not use
Exercise 9 here), 11, 13, 14, 16, 17
The assignment list is complete now.
Group 2. Section 13.2: Exercise 2, 3, 4, 6, 9, 12, 15, 18, 19, 21;
Section 13.3: Exercise 1, 4, 5
Group 3. Section 13.2: Exercise 20; Section 13.3: Exercise 2, 3
HW1: Due date: Tuesday April 9. Please turn in the Group 1 problems
in the class. Do not turn in other problems. If
you prefer to e-mail me a copy, that is fine, too.
Group 1. Section 11.4: Exercise 3 (it is OK to do it for a field R), 4,
5 Matrix B only. Also: Prove that if $\varphi$ is a multilinear alternating
from on a vector space $V$ of dimension $n$ and $\varphi(v_1,\dots,v_n)=0$ for
some linearly independent tuple $(v_1,\dots,v_n)$ then
$\varphi(x_1,\dots,x_\n)=0$ for all tuples $(x_1,\dots,x_n)$, i.e. $\varphi$
is trivial with value $0$.
Section 13.1: Exercise 1, 4, 7
The assignment list is complete now.
Group 2. Section 11.4: Exercise 2; Section 13.1 Exercise 2, 3, 5, 6, 8
Group 3. Section 11.4: Exercise 1, 6