Math 2331: Honors Linear Algebra, Spring
2009
Basic Info

Instructor: 
Dr. Mark
Tomforde


Office: 
601 PGH


Phone: 
7137433672


Office Hours: 
M 11:00AM  Noon
W 11:00AM  11:30AM
F 9:00AM  10:00AM
(or by appointment)


Syllabus: 
Download the Syllabus


Lecture: 
MWF 10:00AM  11:00AM in 634 SR


ANNOUNCEMENTS: 
The Final Exam is Monday, May
11 from 11AM2PM. 
Exams and Homework
Homework:
Due Monday, Apr. 27
Reading Assignment: Sec. 5.3, 5.4, 5.5
To Be Handed In: Sec. 5.3 #2, 4, 6, 12, 16, 20, 24, 25, 26, 31, 32; Sec.
5.4 #2, 6, 8, 10, 16; also hand in these four problems.
Not To Be Handed In: Sec. 5.3 #14, 16, 21, 22, 30; Sec. 5.4 #12, 14
Due Monday, Apr. 20
Reading Assignment: Sec. 5.1, 5.2
To Be Handed In: Sec. 5.1 #2, 6, 8, 10, 12, 14, 18, 20, 24, 26, 27, 31;
Sec. 5.2 #4, 8, 10, 12, 14, 16, 19, 20
Not To Be Handed In: Sec. 5.1 #21, 22; Sec. 5.2 #21, 22
Due Monday, Apr. 13
Reading Assignment: Read over solutions to Exam 2.
To Be Handed In: Print and work out solutions to these problems.
Not To Be Handed In: Rework any problems on Exam 2 that you got wrong.
Due Monday, Apr. 6
Reading Assignment: Sec. 4.7, prepare for exam
To Be Handed In: Sec. 4.6 #2, 4, 6, 8, 9, 10, 12, 14, 15, 16, 19, 22,
28ab; Sec. 4.7 #2, 6, 8, 10, 13, 14
Not To Be Handed In: Sec. 4.6 #17, 18, 29; Sec. 4.7 #11, 12
Due Monday, Mar. 30
Reading Assignment: Sec. 4.5, 4.6
To Be Handed In: Sec. 4.4 #4, 6, 8, 10, 12, 14, 28, 32ab; Sec. 4.5 #6, 8,
14, 21, 25, 29abc, 30abc
Not To Be Handed In: Sec. 4.4 #2, 11, 13, 15, 16, 19, 30, 31; Sec. 4.5
#2, 4, 15, 16, 19, 20, 27, 31, 32
Due Wednesday, Mar. 25
Reading Assignment: Sec. 4.2, 4.3, 4.4
To Be Handed In: Sec. 4.1 #5, 6, 8, 11, 16, 18, 20, 21, 22; Sec. 4.2 #14,
24, 31, 32, 34; Sec. 4.3 #14, 16, 20, 23, 33, 34
Not To Be Handed In: Sec. 4.1 #23, 24, 25, 26, 27; Sec. 4.2 #25, 26, 33;
Sec. 4.3 #1, 2, 3, 4, 5, 6, 7, 8, 21, 22, 25, 31, 32
Due Monday, Mar. 9
Reading Assignment: Sec. 3.3, 4.1 (read 4.1 carefully)
To Be Handed In: Sec. 3.2 #16, 18, 20, 22, 23, 24, 29, 32, 34,
40a,b,c,d,e; Sec. 3.3 #4, 6, 8, 20, 27, 32; Also do these extra problems.
Not To Be Handed In: Sec. 3.2 #1, 2, 3, 4, 27, 28, 33, 35, 36; Sec. 3.3
#1, 3, 7, 11, 25
Due Monday, Mar. 2
Reading Assignment: Sec. 2.8, 3.1, 3.2
To Be Handed In: Sec. 2.8 #2, 6, 7abc, 16, 18, 20, 24, 26, 32, 34; Sec.
3.1 # 8, 10, 12, 14, 26, 28, 30, 31, 32, 37
Not To Be Handed In: Sec. 2.8 #1, 3, 4, 5, 8, 15, 17, 19, 21, 22; Sec. 3.1
#1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 29, 40
Due Monday, Feb. 23
Reading Assignment: Sec. 2.4, study for exam
To Be Handed In: Sec. 2.4 #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 25; Ch. 1
Supplemental Exercises (p.102) #2, 9, 14; Ch. 2 Supplemental Exercises
(p.183) #2, 9, 10
Not To Be Handed In: Sec. 2.4 #11, 12; Ch. 1
Supplemental Exercises (p.102) #1, 5, 16; Ch. 2 Supplemental Exercises
(p.183) #1, 8, 13
Due Monday, Feb. 16
Reading Assignment: Sec. 2.2, 2.3, 2.4
To Be Handed In: Sec. 2.1 #4, 6, 9, 17, 21, 26;
Sec. 2.2 #2, 7a, 13, 16, 20a,b, 31, 32; Sec. 2.3 #4, 6, 8, 13, 21, 23
Not To Be Handed In: Sec. 2.1 #1, 2, 7, 15, 16; Sec. 2.2 #1, 3, 5, 9, 10,
14, 15; Sec. 2.3 #11, 12, 23, 24, 26, 27
Due Monday, Feb. 9
Reading Assignment: Sec. 1.8, 1.9, 2.1
To Be Handed In: Sec. 1.7 #6, 8, 16, 18, 19, 20, 33, 34, 35, 36;
Sec. 1.8 #4, 8, 10, 17, 18, 24; Sec. 1.9 #18, 20, 25, 27
Remember that if a question asks you to explain something or provide a
reason why something is true, you need to write in complete sentences and
be clear in your response.
Not To Be Handed In: Sec. 1.7 #21, 22, 27, 28, 38, 29, 40; Sec. 1.8 #3,
21, 22, 30, 31; Sec. 1.9 #17, 19, 21, 22, 23, 24, 34, 36
Due Monday, Feb. 2
Reading Assignment: Sec. 1.4, 1.5, 1.7
To Be Handed In: Sec. 1.3 #13, 14, 18, 19, 25a,b,c; Sec. 1.4 #12, 13, 15,
17, 18, 19, 20; Sec. 1.5 #6, 13, 16, 29a,b, 38; Also read this comic from last Sunday's newspaper.
Remember that if a question asks you to explain something or provide a
reason why something is true, you need to write in complete sentences and
be clear in your response.
Not To Be Handed In: Sec. 1.4 #1,2, 15, 16, 23, 24; Sec. 1.5 #1, 2, 3, 4,
9, 10, 21, 22; Sec. 1.5 #1, 2, 19, 20, 21, 22, 23, 24
Due Monday, Jan. 26
Reading Assignment: Sec. 1.11.3
To Be Handed In: Sec. 1.1, #1, 2, 11, 12; Sec. 1.2 #3, 4, 8, 10, 11, 12,
13, 14, 15a,b, 16a,b, 20a,b,c, 23
Not To Be Handed In: Sec. 1.1 #3, 23, 24; Sec 1.2 #1, 2, 7, 9, 19, 21, 22
Exam Dates:
Exam 1  Monday, Feb. 23 from 10:00AM11:00AM in class
Exam 2  Monday, Apr. 6 from 10:00AM11:00AM in class
Final Exam  Monday, May 11 from 11:00AM2:00PM in our usual classroom
Miscellaneous Resources
 It will be important for you to read your textbook in this course.
If you are unfamiliar with reading mathematics textbooks, here is a
collection of Tips for Reading Your
Mathematics Textbook that I have written.
 An online
matrix calculator that you can use to check some of your matrix
calculations.
 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 coordinatefree, 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 Algebra.
 Some
Linear Algebra Tools on the web.
 Also check out some unsolved problems in mathematics
and the various awards that are given to people working towards the
solutions of these, and many other, problems in mathematics: