Math 211 (Sec. 01), Fall
2005
Exams and Homework
Homework:
Not to be Handed In
Sec. 6.4, #1, 3, 9, 11
Sec. 7.1, #13, 17
Due Wednesday, Nov. 30
Sec. 6.2, #1, 5, 7, 9, 11, 13, 15, 17, 21, 26, 28, 29 (also read
through, but do not hand in, #23, 24)
Sec. 6.3, #1, 3, 5, 7, 9
Due Monday, Nov. 21
Sec. 5.3, #4, 5, 7, 9, 11, 13, 17, 19, 23, 24, 25, 26, 27, 28 (also read
through, but do not hand in, #21, 22)
Sec. 5.4, #1, 3, 5, 6, 8, 9, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23,
28, 29
Sec. 6.1, #1, 3, 5, 7, 9, 10, 13, 15, 17, 25, 27, 30, 31 (also read
through, but do not hand in, #19, 20)
Due Monday, Nov. 14
Sec. 4.7, #1-6, 7, 8, 13, 14 (also read through, but do not hand in, #11,
12 and #17, 18)
Sec. 5.1, #1-6, 9-13, 17, 18, 19, 20, 23, 24, 25, 26, 27, 29, 30, 31, 32,
35 (also read through, but do not hand in, #21, 22)
Sec. 5.2, #1, 5, 9, 11, 15, 17, 20, 23, 24 (also read through, but do
not hand in, #21, 22)
Due Monday, Nov. 7
Sec. 4.5, #1, 5, 7, 9, 11, 13, 15, 17, 21, 22, 23, 25, 26, 28, 29, 30, 31,
32 (also read through, but do not hand in, #19, 20)
Sec. 4.6, #1, 3, 4, 5, 6, 7, 9, 11, 13, 15, 16, 19, 22, 26, 27, 28, 29, 30
(also read through, but do not hand in, #17, 18)
Due Monday, Oct. 31
Sec. 4.3, #1, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 19, 20, 23, 24, 29,
30, 31, 32, 33, 34 (also read through, but do not hand in, #21, 22)
Sec. 4.4, #1, 3, 5, 7, 9, 10, 11, 13, 14, 17, 18, 19, 26, 27, 28, 29, 31,
32 (also read through, but do not hand in, #15, 16)
Due Monday, Oct. 24
Sec. 4.1, #1, 2, 3, 5, 6, 7, 8, 11, 12, 13, 15, 17, 20, 21, 22, 30, 32
(also read through, but do not hand in, #25-29)
Sec. 4.2, #1, 3, 5, 7, 8, 9, 10, 17-20, 27, 28, 29, 30, 31, 32, 33,
34, 35, 36
Due Monday, Oct. 17
Sec. 3.2, #1, 3, 9, 11, 13, 15-20, 21, 24, 25, 26, 29, 31-36, 39, 40 (also
read through, but do not hand in, the T/F questions in #27, 28)
Sec. 3.3, #1, 5, 7, 11, 18, 19, 21, 27, 30, 32
Due Wednesday, Oct. 12
Sec. 2.5, #1, 5, 7, 9, 11, 13 (Also, take a look at, but don't do, #22-26.
These show other useful factorizations of matrices.)
Sec. 3.1, #1, 5, 9, 11, 12, 15, 17
Due Monday, Oct. 3
Sec. 2.3, #1, 2, 3, 5, 7, 8, 13, 15, 17, 26, 28, 29, 30, 33 (also read
through, but do not hand in, the T/F questions in #11, 12)
Sec. 2.4 #1-4, 5, 7, 9, 10, 13, 21, 25 (also read
through, but do not hand in, the T/F questions in #11, 12)
Due Monday, Sept. 26
Sec. 2.1, #1, 3, 5, 7, 11, 15, 18, 19, 20, 21, 24, 27, 28
Sec. 2.2, #1, 5, 7, 11, 12, 13, 14, 16--22, 25, 29--32 (also read
through, but do not hand in, the T/F questions in #9, 10)
Also, do this problem. (Solution)
Due Monday, Sept. 19
Sec. 1.8, #1, 3, 7-10, 13-16, 17, 19, 24, 30, 31, 32, 33, 34 (also read
through, but do not hand in, the T/F questions in #21, 22)
Sec. 1.9, #1, 3, 8, 11, 13, 15, 18, 23, 24, 29-33, 35-38
Due Monday, Sept. 12
Sec. 1.5, #5, 6, 7, 9, 11-16, 19, 20, 21, 26-29, 31-34, 39, 40 (also read
through, but do not hand in, the T/F questions in #23, 24)
Sec. 1.7, #1-5, 7, 9, 10, 15-20, 23, 24, 25, 27, 30, 31, 33-38 (also read
through, but do not hand in, the T/F questions in #21, 22)
Due Monday, Sept. 5
Sec. 1.2, #1-7, 11, 12, 15-18, 23-26, 29, 31 (also read
through, but do not hand in, the T/F questions in #21, 22)
Sec. 1.3, #1, 2, 5, 7, 8, 9, 10, 13, 19, 25, 28 (also read
through, but do not hand in, the T/F questions in #23, 24)
Sec. 1.4, #1-4, 5, 7, 9, 11, 12, 13, 14, 15, 21, 22, 32, 35, 36 (also read
through, but do not hand in, the T/F questions in #23, 24)
Due Monday, Aug. 29
Sec. 1.1, #2, 7-10, 11-14, 15, 16, 17, 18, 19, 21, 33, 34 (also read
through, but do not hand in, the T/F questions in #23, 24)
Exam Dates:
Hour Exam 1 -- Friday, Sept. 30 from 9:00-9:50AM in class
Hour Exam 2 -- Friday, Nov. 4 from 9:00-9:50AM in class
Final Exam -- Tuesday, Dec. 6 from 8:30-11:30, place TBA
Resources
- The history of mathematics is an important subject. It gives a
context in which to view the results that one learns in math classes.
Furthermore it shows that mathematics is, first and foremost, a human
activity. In the historical development of Linear Algebra, we see that
the concept of a vector dates back as early as the work of Bolzano in the
beginning of the 19th century. Initially vectors were used in the study
of geometry, giving a way to "coordinatize" space. Transformations on
space often took the form of matrices, and this prompted the study of such
matrix properties as determinants and canonical forms. Later, in the work
of Poncelet and Chasles, a move was made to a coordinate-free, or
synthetic, geometry. This was the beginning of the notion of an abstract
vector space, in which one replaces concrete spaces by abstract spaces
satisfying certain axioms, and in which matrices are replaced by linear
operators on these spaces. Today the influence of Linear Algebra
extends far beyond geometry, and the concept of an (abstract) vector space
arises in a variety of contexts. Consequently, Linear Algebra has had
applications to numerous areas of mathematics as well as many areas of
physics.
Here you can find out more about:
The Wikipedia
entry on Linear Algebras.
Some
Linear Algebra Tools on the web.
If you are tired of Linear Algebra, check out this Nova site about one
of the greatest achievements of mathematics in the 20th
century:
The proof of Fermat's Last
Theorem
And for something a little lighter, check out
Mathematrix, and in particular, Math
Comics.