MATH 461 - Linear Algebra for Scientists and Engineers

Fall 2010


Instructor: Antoine Mellet

Office: Math Building 4104

Lectures: TuTh 2:00pm - 3:15pm (ARM 0135)

Office Hours: Tu 11am-12pm, 3:15-4:15pm


First day Hand-out


Discussion Session

Sections 0111, 0121, 0131: Yong Zheng
Email: yongzheng@math
Office: Math 4109
Office Hours: Tue: 4:00-5:00 pm and Fri: 4:00-5:00pm

Sections 0112, 0122, 0132: Carol Rosenberg
Email: crosenb@math
Office: Math 4423
Office hours: Wed 11-12 and Thu 3:30-4:30


Textbook:

Lay, Linear Algebra and Its Applications, 3rd ed., Addison-Wesley, 2003.
Lay, Study Guide, 3rd ed. (for Linear Algebra and Its Applications), Addison-Wesley, 2003.
You can also check the book web site .


Course description:
Basic concepts of linear algebra: vector spaces, applications to line and plane geometry, linear equations and matrices, similar matrices, linear transformations, eigenvalues, determinants and quadratic forms. Throughout the semester, we will discuss several important applications of linear algebra (electrical networks, difference equations, discrete dynamical systems, Markov chains, system of differential equations).


MATLAB:

The computer software MATLAB will be used throughout the course. The few commands we use in this course will be easy to learn. The Study Guide contains an "Introduction to MATLAB" in the first Appendix, followed by an index of useful commands. The Guide also explains how to use special MATLAB programs that have been designed for this course. The programs themselves, along with data files for all the numerical exercises in the text, are available on the WAM and Glue installations of MATLAB and in the OWL lab in the basement of the math building.
If you are using your own computer, those files are included in the CD that comes with the book, or can be downloaded from the book web site.

For information on software, tutoring and computer labs locations and hours, see the Math. Dept. resources page (check in particular the Matlab tutoring schedule and the computer labs location )
Homework problems requiring the use of Matlab are marked [M] in the book. Such problems, when assigned, will almost always be graded.
You may use the DIARY command to creat a record of your work that you can print out (Note that you can edit the diary file to add some comments if necessary).

For instructions on how to access Matlab from your own computer, you can consult the following web page (courtesy of Prof. Wyss-Gallifent): http://www.math.umd.edu/~jow/misc/matlab.html


Exams:

There will be three midterm exams and one final exam. The midterm exams will be held during the lecture sessions on the following dates:

The Final exam will take place on Thursday, Dec 16, 10:30am-12:30pm.


DAILY SCHEDULE

Here is a tentative schedule of the material we will be covering for the course.
Check back here frequently for schedule adjustments.

The * indicate assigned problems that require the use of Matlab.



Week Sections covered in class Homework collected Additional suggested homework problems
(not collected)
Week 1
8/30-9/3
1.1, 1.2, 1.3 HW1, Due Fri. Sept. 3:
1.1: 4, 10, 14, 16, 21.
Download HW1 here
1.1: 1, 3, 7, 9, 11, 13, 15, 19, 23, 24, 25, 29.
Week 2
9/6-9/10
1.4, 1.5, 1.7, 1.8 HW2, Due Fri. 10:
1.2: 4, 11, 20, 23.
1.3: 4, 5, 10, 14, 15, 21, 27*.
1.4: 1, 7, 14, 22, 39*.
1.5: 3, 5, 12, 13, 20, 22, 31.
1.2: 1, 3, 9, 17, 19, 21, 31.
1.3: 1, 3, 7, 8, 9, 11, 13, 17, 23, 25.
1.4: 5, 11, 12, 13, 15, 21, 23, 25, 33.
1.5: 1, 2, 7, 9, 11, 19, 21, 23, 25, 37.
Week 3
9/13-9/17
1.9, 2.1 HW3, Due Fri. Sept. 17:
1.7: 2, 3, 5, 10, 22, 25.
1.8: 1, 4, 8, 15, 19, 37*.
1.9: 2, 4, 6, 8, 12, 15, 18, 23, 37*
1.7: 1, 7, 9, 13, 15-22, 27, 31, 32, 33, 35, 38, 41
1.8: 3, 5, 7, 9, 11, 13, 21, 25, 27, 29
1.9: 1, 3, 5, 7, 11, 17, 19, 24
Week 4
9/20-9/24
2.2, 2.3, review HW4 Due Fri. Sept. 24:
2.1: 2, 4, 7, 12, 15, 17, 28, 35*, 36*
2.2: 2, 7, 10, 14, 17, 22, 32
2.1: 1, 6, 8, 10, 16, 18, 27
2.2: 1, 3, 5, 6, 9, 13, 28, 31, 36
Week 5
9/27-10/01
Tue. Sept 28: MIDTERM #1 - Covers sections 1.1-1.5, 1.7-1.10, 2.1-2.3 - Review sheet and practice exam. solution to problems 7, 9 and 10 on the review sheet.
3.1, 3.2 No homework due this week
Week 6
10/04-10/08
3.2, 3.3, 4.1 HW5 Due Fri. Oct. 8:
3.1: 2, 10 , 14, 16, 37, 42, 43*, 46*
3.2: 2, 6, 12, 16, 22, 26, 45*
3.3: 2, 6, 10, 16, 20, 26, 29, 32
3.1: 1, 4, 9, 11, 15, 17, 22, 25-30, 33-36, 40
3.2: 4, 5, 7, 8, 15, 17-21, 28
3.3: 1, 5, 7, 19, 21, 23
Week 7
10/11-10/15
4.2, 4.3, 4.4 HW6 Due Fri. Oct. 15:
4.1: 2, 6, 8, 10, 13, 18, 21, 31, 35*
4.2: 4, 7, 14, 16, 19, 24, 28, 31, 33
4.3: 1, 4, 10, 13, 16, 21, 32, 33
4.1: 1, 3, 4, 5, 7, 11, 15, 17, 23
4.2: 1, 3, 6, 9, 13, 15, 17, 25, 37
4.3: 3, 5, 8, 9, 15, 23, 25, 31, 34
Week 8
10/18-10/22
4.5, 4.6, 4.7, Review HW7 Due Fri. Oct. 22:
4.4: 2, 5, 7, 10, 13, 17, 28, 32, 36*
4.5: 2, 3, 12, 13, 14, 19, 22, 25
4.6: 2, 3, 5, 8, 16, 21, 24, 28, 29
4.4: 1, 3, 4, 6, 8, 11, 14, 16, 21, 27, 31
4.5: 1, 4, 5, 9, 11, 21, 29, 30, 32
4.6: 1, 5-12, 15, 18, 25, 27
Week 9
10/25-10/29
Tue. Oct 26: MIDTERM #2 - Covers chapter 3, sections 4.1-4.7. Review sheet and practice exam
5.1, 5.2 Not collected (No homework due this week)
4.7: 1, 2, 7, 14, 19*
4.7: 3, 4, 5, 11, 13, 15
Week 10
11/01-11/05
5.3, 5.4, 5.5 HW8 Due Fri. Nov. 5:
5.1: 3, 12, 14, 17, 23, 24, 37*
5.2: 6, 8, 14, 16
5.3: 2, 6, 10, 12, 22, 23, 33*
5.1: 1, 2, 3, 4, 7, 13, 19, 21, 29, 36
5.2: 1, 3, 9, 22, 23, 27, 30
5.3: 1, 3, 4, 5, 7, 11, 21, 24, 25, 26, 31
Week 11
11/08-11/12
5.6, 5.7, 6.1 HW9 Due Fri. Nov. 12:
5.4: 1, 4, 6, 9, 14, 23, 31*
5.5: 1, 2, 5, 8, 10, 12, 13, 14, 16
5.6: 1, 2, 10, 12, 14
5.4: 3, 7, 13, 17, 18
5.5: 3, 4, 6, 7, 9, 15, 18, 23
5.6: 3, 9, 11
Week 12
11/15-11/19
6.2, 6.3, 6.4 HW10 Due Fri. Nov. 19:
6.1: 2, 5, 8, 10, 13, 19, 25, 28, 31
6.2: 1, 4, 7, 12, 14, 15, 20, 33
6.1: 1, 3, 4, 6, 7, 12, 14, 20, 26, 27
6.2: 2, 3, 5, 9, 11, 13, 17, 21, 23
Week 13
11/22-11/26
6.5, 6.6
Thanksgiving
No homework due this week
Week 14
11/29-12/03
6.6
HW11 Due Fri. Dec 3:
6.3: 1, 4, 8, 9, 11, 15, 21, 25*
6.4: 2, 3, 8, 9, 14, 18, 24*
6.5: 2, 6, 10, 13, 16
6.3: 3, 5, 7, 13, 22
6.4: 5, 7, 11, 13, 15, 17
6.5: 1, 3, 5, 7, 9, 17, 18, 19, 25, 26
6.6: 2, 4, 7*, 9, 12*
Thu. Dec. 2: MIDTERM #3 - Covers sections 5.1-5.7, 6.1-6.6. Review sheet and practice exam
Solution of the practice exam (courtesy of Yong Zheng). Note: in (3b) the angle should be 7 &pi/6. In (6c) the answer is [-1, -2, 5]
Week 15
12/06-12/10
7.1, 7.2 Not collected (No homework due this week)
7.1: 1, 3, 4, 5, 8, 10, 14, 17, 19, 23, 30
7.2: 2, 4, 6, 7, 9, 11, 13, 22
Thursday, Dec 16 10:30am-12:30pm FINAL EXAM -- Review sheet and practice exam