## Math 2230, Linear algebra and multivariable calculus

The final exam (with answers) grade breakdown:
D < 15 < C < 30 < B < 50 < A.

Book: Hubbard and Hubbard **Vector calculus, linear algebra and
differential forms** 4th edition
Scroll down for info on the final. As with the midterm, you can
bring in one double-sided sheet of handwritten notes. (Written by you!)

The midterm was Thursday Oct 9, in class.
Here it is, with answers.

Office hours during the term (in my office, 515 Malott):

Homeworks:

Final exam:
Mon, Dec 15 9:00 AM in Malott 406.
Book sections covered on the final:

Ch 0
Ch 1.0-1.8
Ch 2.0-2.7, 2.10
Ch 3.0-3.2, 3.5-3.6
Some review exercises:
The ones above for the midterm
2.1.2, 5
2.2.4, 9
2.3.2, 13
2.4.3, 4, 5 (i.e., show the span is contained in any other such subspace),
8
2.5.3, 6, 9, 17, 21
2.6.9
2.7.2
2.10.2, 4, 8
2.11: 2.3, 5, 8, 11, 16, 29
3.1.5, 12*, 22
3.2.5, 3.2.11e, 3.2.12
Also, you should be clear on the two formulations of the
spectral theorem we proved in the last week: If M is a real symmetric matrix,
then
(v1) there exists an orthonormal basis of real eigenvectors
(v2) there exists an orthogonal matrix B with det=1 such that
B^T M B is diagonal.
I'll have office hours Tuesday @1 PM, Thursday & Friday @10 AM, in 515 Malott.
Nothing structured; come with questions about class or (particularly Friday)
about the review questions above. Amin will have office
hours @4:30 PM Friday in the normal office hours room.