# Math 2331: Linear Algebra, Fall 2012

## Basic Info

Instructor: Dr. Mark Tomforde
Office: 601 PGH
Office Hours: MWF 10--10:50AM
Lecture: MWF Noon--12:50PM in 102 SEC
ANNOUNCEMENTS: The Final Exam is Wednesday, Dec. 19, 11AM--2PM in our usual classroom.

## Exams and Homework

Homework:

(1) Dynamical Systems Word Problems
(2) Extra Problems #1
(3) Extra Problems #2
(4) Extra Problems #3

Due Friday, November 30
Reading Assignment: Sec. 5.5, 6.1, 6.2, 7.1
Homework (Not To Be Handed In): Sec. 5.3 #1, 3, 5, 7, 9, 11, 13, 15, 21, 23, 25, 27, 31, 32; Sec. 5.5 #1, 3, 5, 13, 15, 17; Sec. 6.1 #1, 3, 5, 7, 9, 11, 15, 17; Sec. 6.2 #1, 3, 5, 17, 19, 21; Sec. 7.1 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Quiz #10 will be Friday, November 30. (Here are Solutions to Quiz 10.)

Due Friday, November 16
Homework (Not To Be Handed In): Sec. 5.1 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32; Sec. 5.2 #1, 3, 5, 7, 9, 15, 19, 21
Quiz #9 will be Friday, November 16. (Here are Solutions to Quiz 9.)

Due Friday, November 9
Reading Assignment: Sec. 4.7, 5.4, 5.1
Homework (Not To Be Handed In): Sec. 4.7 #1, 3, 5, 7, 9, 11, 13; Sec. 5.4 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23
Quiz #8 will be Friday, November 9. (Here are Solutions to Quiz 8.)

Due Friday, November 2
Reading Assignment: Sec. 4.4, 4.5, 4.6
Homework (Not To Be Handed In): Sec. 4.4 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 27, 29, 31; Sec. 4.5 #1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 27; Sec. 4.6 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 27
Exam 2 is Friday. There will be no quiz.

Due Friday, October 26
Homework (Not To Be Handed In): Sec. 4.2 #1, 3, 5, 7, 11, 15, 17, 25, 27, 30, 31, 32, 33, 34; Sec. 4.3 #1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 29, 31, 33, 34, 35
Quiz #7 will be Friday, October 26. (Here are Solutions to Quiz 7.)

Due Friday, October 19
Homework (Not To Be Handed In): Sec. 3.3 #1, 3, 5, 7, 19, 21, 23, 29, 31 Sec. 4.1 #1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29
Quiz #6 will be Friday, October 19. (Here are Solutions to Quiz 6.)

Due Friday, October 12
Reading Assignment: Sec. 3.1, 3.2, 3.3
Homework (Not To Be Handed In): Sec. 2.9 #1, 3, 5, 9, 11, 13, 15, 17, 19, 21; Sec. 3.1 #1, 3, 5, 7, 9, 13, 19, 21, 25, 27; Sec. 3.2 #1, 3, 5, 15, 17, 19, 21, 25, 27, 29, 31
Quiz #5 will be Friday, October 12. (Here are Solutions to Quiz 5.)

Due Friday, October 5
Reading Assignment: Sec. 2.4, 2.8, 2.9
Homework (Not To Be Handed In): Sec. 2.4 #1, 3, 5, 7, 9, 11, 13, 21, 22, 25; Sec. 2.8 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33
Quiz #4 will be Friday, October 5. (Here are Solutions to Quiz 4.)

Due Friday, September 28
Reading Assignment: Sec. 2.3, Prepare for Exam 1
Homework (Not To Be Handed In): Sec. 2.3 #1, 3, 5, 11, 13, 15, 17, 19, 21, 33
Exam 1 is Friday. There will be no quiz.

Due Friday, September 21
Reading Assignment: Sec. 1.9, 2.1, 2.2
Homework (Not To Be Handed In): Sec. 1.9 #1, 3, 5, 7, 15, 17, 19, 21, 23, 35; Sec. 2.1 #1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23; Sec. 2.2 #1, 3, 5, 7, 9, 13, 17, 19, 21, 29, 31,
There is no quiz this week. Use the extra time to prepare for next week's exam.

Due Friday, September 14
Reading Assignment: Sec. 1.5, 1.7, 1.8
Homework (Not To Be Handed In): Sec. 1.5 #1, 3, 5, 9, 11, 13, 15, 23, 25, 27; Sec. 1.7 #1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 27, 31, 33, 35, 37, 39; Sec. 1.8 #1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35; Also read this comic.
Remember that if a question asks you to explain something or provide a reason why something is true or false, you need to write in complete sentences and be clear in your response.
Quiz #3 will be Friday, September 14. (Here are Solutions to Quiz 3.)

Due Friday, September 7
Homework (Not To Be Handed In): Sec. 1.3 #1, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29; Sec. 1.4 #1, 3, 5, 7, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35
Quiz #2 will be Friday, September 7. (Here are Solutions to Quiz 2.)

Due Friday, August 31
Homework (Not To Be Handed In): Do These Problems, also Sec. 1.1 #7, 9, 11, 13, 15, 19, 21, 23; Sec. 1.2 #7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31
Quiz #1 will be Friday, August 31. (Here are Solutions to Quiz 1.)

Exam Dates:
Exam 1 -- Friday, September 28
Exam 2 -- Friday, November 2
Final Exam -- Wednesday, December 19, 11AM--2PM.

## 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 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 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: