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Linear Algebra (Math 301), Spring 2011


Basic course information

Basic course information, including information about the text book and office hours can be found here.


Homeworks

Homework #1 Due Wednesday, Jan 26, at the start of class.

Section 1.1 : Problems 2,4,6,8; Section 1.2 : Problems 4,7,8,12,19, 29.

Homework #2 Due Friday, Jan 28, at the start of class.

Section 2.1 : Problems 9,10,11,12,17,18; Section 2.2 : Problems 1,3,5,7,8.

Homework #3 Due Friday February 4, at the start of class.

Section 2.2 : #12, 14, 15, 19; Section 2.3 #1, 3, 12, 17, 18, 24

Homework #4 Due Friday February 11, at the start of class.

Section 2.4 (Page 75) : #1, 3, 4, 6, 7, 11, 13, 19, 22, 32.

Section 2.5 (Page 89) : #1, 3, 11, 12, 13, 41

Homework #5 Due Friday February 25, at the start of class.

Section 2.6 (Page 102) : #5, 9, 10, 11, 12, 13, 14, 15, 16, 20

Section 2.7 (Page 115) : #2, 4, 5, 17, 18, 20, 22, 40

Homework #6 Due Friday March 4, at the start of class.

Section 3.1 (Page 127) : #1, 2, 4, 5, 10, 12, 17, 20, 22, 26.

Section 3.2 (Page 140) : #1, 2, 3, 4, 9, 17, 23, 24, 26.

Homework #7 Due Friday March 11, at the start of class.

Section 3.3 (Page 151) : #2, 4, 10, 24, 25.

Section 3.4 (Page 178) : #1, 3, 4, 10, 11, 20,34

Homework #8 Due Friday March 18, at the start of class.

Section 3.5 (Page 178) : #1,4,5,7,9,10,13,16,19,21,24

Section 3.6 (Page 190) : #2,3,5,7,10,13,19,22,27

Homework #9 Due Friday April 8, at the start of class.

Section 4.1 (Page 202) : #6, 7, 21, 22, 25.

Section 4.2 (Page 214) : #11, 12, 13, 19, 21, 22, 30.

Homework #10 Due Friday April 15, at the start of class.

Section 4.3 (Page 226) : #1, 2, 3, 4, 6, 12, 13, 26, 27.

Section 4.4 (Page 239) : #5, 6, 7, 8, 12, 13, 14, 17, 21.

Homework #11 Due Friday April 22, at the start of class.

Section 5.1 (Page 251) : #1, 2, 3, 7, 8, 18, 20, 34.

Section 5.2 (Page 263) : #1, 3, 9, 15, 19, 33.

Section 5.3 (Page 279) : #1, 2, 8, 10, 16, 27, 29, 31.

Homework #12 Due Monday May 2, at the start of class.

Section 6.1 (Page 293) : #2, 3, 4, 14, 17, 21,

Section 6.3 (Page 325) : #1, 8, 9, 12.

Quiz #1 Friday, February 11.

The quiz will cover material through Chapter 2.4 (Rules for matrix operations) in your textbooks. The quiz will be very short.

Quiz #2 Monday, March 14.

The quiz will cover material in Chapter 3 through Section 3.5

Quiz #3 Wednesday, April 20.

The quiz will cover material from Chapter 4.

Midterm #1 February 16.

Through Section 2.5

Midterm #2 Wednesday, March 23.

Expect material from Chapters 2 and 3

Midterm #3 Wednesday, April 27.

Material from Chapter 4 and 5.

Review Problems from the text :

Section 4.1 (page 202) Problems #30, 32, 33.

Section 4.2 (page 214) Problems #20, 23, 24, 26, 27, 32

Section 4.3 (page 226) Problems #21, 23, 28, 29.

Section 4.4 (page 239) Problems #22, 23, 33, 34.

Section 5.1 (page 251) Problems #11, 12, 16, 29, 30.

Section 5.2 (page 263) Problems #12, 34.

Section 5.3 (page 279) Problems #11, 12, 19.




Other useful information


Distribution of final exam grades (posted 5/15/2011)


Grades so far... (posted 4/11/2011)

Below are the total grades at this point in the course. To compute your score for this chart, use the following formula

This is only an indication of where you are in the class at this point. Your final grade may be different!


Distribution of Midterm #2 results (posted 4/2/2011)


Distribution of Midterm grades (posted 2/23/2011)

The distribution of grades on the first midterm is shown below. If your score falls above the green line, you are doing fine! If you are below the red, could be trouble ahead. And in the blue? You are still probably okay, but could stand to improve your understanding of the material.


Linear Algebra, finite element design, and the auto industry (posted 2/20/2011)

Finite element design is a computational tool widely used in the auto industry to optimize the design of cars. A key feature in making finite element analysis a feasible tool is advanced techniques for solving large linear systems (millions of equations). In a recent radio interview, a Wall Street journalist talks about his impressions of the latest auto show, and mentions "finite element design" and computational advances in general as the key to the latest design innovations in the car industry. Listen to the podcast here.

One of the most widely used finite element analysis (FEA) packages in the automotive industry is NASTRAN. They advertise "direct solvers" (such as LU factorization we learned in class) and "iterative solvers" (e.g. Conjugate Gradient) for linear systems which can handle up to 25 million "degrees of freedom" (DOF). Here, "degrees of freedom" are number of equations, or number of unknowns. Read about the solvers in NASTRAN here.


History of Gaussian Elimination (posted 2/8/2011)

You might think that Gaussian Elimination is such an obvious idea, that it is hard to imagine a time when there was no such algorithm. To get a feel for the history that dates back as far as 2000BC, see this link.


New office hours! (posted 2/8/2011)

Starting week of 2/7/2011, my office hours for this course will be Tuesdays, 11 - 12:00, or by appt. Note : this is a change from my previously stated hours.


Short Quiz on Friday Feb. 11 (posted 2/8/2011)

Be prepared for a short quiz on the material we have covered through Monday 2/7 in class and on homeworks.


Challenge problems! (posted 2/7/2011)

The book has several challenge problems. Many of them are good practice for the midterm. Here are some I suggest you consider doing :
Challenge Problems

Section 1.1 (Page 10) : #31

Section 1.2 (Page 21) : #28

Section 1.3 (Page 30) : #14

Section 2.1 (Page 42) : #21, 34

Section 2.2 (Page 55) : #30

Section 2.3 (Page 63) : #5, 14


Midterm #1, Wednesday February 16 (posted 2/7/2011)

Our first midterm is schedule for Wednesday, Feb. 16. It will cover the material through Section 2.5 (matrix inverses).


Office Hours

My office hours for this course will be on Tuesdays, at 2:30-3:30


On-line videos of lectures by G. Strang

Did you know that you can watch on-line lectures given Gilbert Strang (author of our course text), lecturing from an earlier edition of our class textbook? This would be a great way to get a different view of the material, taught by one of the major contributors to the field of Linear Algebra. His lectures are available on the MIT Open Course Ware website at this link.


Send me an e-mail!

Please send me an e-mail at calhoun@math.boisestate.edu so that I can compile an e-mail list for the class. At the very least, include a subject header that says "Math 301". You may leave the message area blank, or send me a nice note.



Last modified: Thu Jan 24 14:37:11 MST 2013