## Math 2240, Linear algebra and multivariable calculus

Final exam:
Tuesday, May 12 2:00 PM in Malott 406.
Here it is, with answers.

Sections we focused on on the final:

Book: Hubbard and Hubbard **Vector calculus, linear algebra and
differential forms** 4th edition

Office hours: Monday 12-2, Tuesday after class.

Homework #1 (due Thursday 2/5/15):
Homework #2 (due Thursday 2/12/15):
Homework #3 (due Thursday 2/19/15):
Homework #3 (due Thursday 2/26/15):
Homework #4 (due Thursday 3/5/15):
Homework #5 (due Thursday ~~3/12/15~~ 3/19/15):

Midterm exam: March 17 in class.
Test with answers here.
Grade distribution: C < 25 < B < 50 < A.

People did really well, I'm proud of you!!
Homework #6 (due Thursday 3/26/15):

Homework #7 (due Thursday 4/9/15):
Homework #8 (due Thursday 4/16/15):
6.1 #6,10
6.2 #1,3
6.3 #2,6,10,14
Homework #9 (due Thursday 4/23/15):
Let 0 -> V_1 -> V_2 -> ... -> V_n -> 0 be an exact sequence
(of finite-dimensional vector spaces), i.e. the kernel of each map equals
the image of the previous. Show that, given orientations on all but one
of these spaces, one can put a natural orientation on the missing space.
Homework #10 (due Thursday 4/30/15):
6.4 #1,4,9
6.7 #1,2,9
Homework #11 (due **Wednesday** 5/6/15, in section):
6.6 #5
6.9 #1,4