MATH 461 - Linear Algebra for Scientists and Engineers

Spring 2011


Instructor: Antoine Mellet

Office: Math Building 4104

Lectures: TuTh 11:00am - 12:15pm (ARM 0131)

Office Hours: Tu 2-4pm


First day Hand-out


DAILY SCHEDULE and HOMEWORK ASSIGNMENTS


MATLAB ASSIGNMENTS


Discussion Session

Section Time Room TA Office Office Hours
0111 M 8-9:15 MTH0409 Alex Cloninger MATH 2121 Tu 3-4pm Th 2-3pm
0112 M 8-9:15 MTHB0421 Melissa Benimeo MATH 4202 Tu 3:30-4:30 pm Wed 3-4pm.
0121 M 10-11:15 MTH0409 Alex Cloninger MATH 2121 Tu 3-4pm Th 2-3pm
0122 M 10-11:15 MTH0303 Tim Doster MATH 2121 Mo 1-2 and Thu 2-3
0131 M 11:00-12:15 MTH0401 Melissa Benimeo MATH 4202 Tu 3:30-4:30 pm Wed 3-4pm.
0132 M 11:00-12:15 HBK0109 Yong Zheng MATH 4109 TuTh 2:00-3:00pm
0141 M 3:30-4:45 MTHB0429 Alex Cloninger MATH 2121 Tu 3-4pm Th 2-3pm
0142 M 3:30-4:45 MTHB0421 Melissa Benimeo MATH 4202 Tu 3:30-4:30 pm Wed 3-4pm.
0143 M 3:30-4:45 MTHB401 Yong Zheng MATH 4109 TuTh 2:00-3:00pm

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:

There will be some MATLAB assignments, to be handed in discussion session. The assignments and their due dates will be posted on the course web site and announced in class. You are encouraged to work in groups of two or three students from the SAME SECTION. Of course, you may also work alone if you wish. Each group will hand in just one copy of the assignment (it is understood that all people in the group will contribute significantly to the assignment). Your completed assignment should include a printout of relevant matlab input and output, as well as any additional analysis of the problem that may be required.

For an introduction to Matlab, you can consult this brief introduction to Matlab.

For information on software, tutoring and computer labs locations and hours, see the Math. Dept. resources page

The department is offering free Matlab tutoring: See the Matlab tutoring schedule

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

MATLAB ASSIGNMENTS:


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 May 12, 8:00-10:00 am


DAILY SCHEDULE and HOMEWORK ASSIGNMENTS

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



Week Sections covered in class Homework collected Additional suggested homework problems
(not collected)
Matlab
Week 1
1/24-1/28
1.1, 1.2 NO HOMEWORK DUE Mon 1/31
Week 2
1/31-2/4
1.2, 1.3, 1.4, 1.5 HW 1, Due Mon 2/7:
1.1: 4, 10, 14, 16, 21.
1.2: 4, 11, 20, 23.
1.3: 5, 10, 14, 15, 21.
1.4: 1, 7, 14, 22.
1.5: 3, 5, 12, 13, 20, 22, 31.
1.1: 1, 3, 7, 9, 11, 13, 15, 19, 23, 24, 25, 29.
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
2/7-2/11
1.7, 1.8, 1.9 HW 2 Due Mon 2/14:
1.7: 2, 3, 5, 10, 22, 25.
1.8: 1, 4, 8, 15, 19.
1.9: 2, 4, 6, 8, 12, 15, 18, 23
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
2/14-2/18
2.1, 2.2, 2.3 HW 3, Due Mon 2/21:
2.1: 2, 4, 7, 12, 15, 17, 28
2.2: 2, 7, 10, 14, 17, 22, 32
2.3: 2, 4, 6, 8, 10*, 15, 18, 22
2.1: 1, 6, 8, 10, 16, 18, 27
2.2: 1, 3, 5, 6, 9, 13, 28, 31, 36
2.3: 1, 3, 5, 7, 9, 11, 12, 14, 16, 20, 28, 32, , 33, 34, 38, 41
Week 5,
2/21-2/25
Tue. Feb. 22: MIDTERM #1 - Covers sections 1.1-1.5, 1.7-1.9, 2.1-2.3 - Review sheet and practice exam
3.1, 3.2 HW 4, Due Mon 2/28:
3.1: 2, 10 , 14, 16, 37, 42
3.1: 1, 4, 9, 11, 15, 17, 22, 25-30, 33-36, 40
Week 6
2/28-3/4
3.2, 3.3, 4.1 HW 5, Due Mon 3/7:
3.2: 2, 6, 12, 16, 22, 26
3.3: 2, 6, 10, 16, 20, 26, 29, 32
4.1: 2, 6, 8, 10, 13, 18, 21, 31
3.2: 4, 5, 7, 8, 15, 17-21, 28
3.3: 1, 5, 7, 19, 21, 23
4.1: 1, 3, 4, 5, 7, 11, 15, 17, 23

Assignment #1
Due Monday Feb 28th
Week 7
3/7-3/11
4.2, 4.3, 4.4 HW 6, Due Mon 3/14:
4.2: 4, 7, 14, 16, 19, 24, 28, 31, 33
4.3: 1, 4, 10, 13, 16, 21, 32, 33
4.4: 2, 5, 7, 10, 13, 17, 28, 32
4.2: 1, 3, 6, 9, 13, 15, 17, 25, 37
4.3: 3, 5, 8, 9, 15, 23, 25, 31, 34
4.4: 1, 3, 4, 6, 8, 11, 14, 16, 21, 27, 31
Week 8
3/14-3/18
4.5, 4.6, 4.7, Review HW 7, Due Mon 3/28:
4.5: 2, 3, 12, 13, 14, 19, 22, 25
4.6: 2, 3, 5, 8, 16, 21, 24, 28, 29
4.7: 1, 2, 7, 14
4.5: 1, 4, 5, 9, 11, 21, 29, 30, 32
4.6: 1, 5-12, 15, 18, 25, 27
4.7: 3, 4, 5, 11, 13, 15

Assignment #2
Due Monday Mar. 14th
SPRING BREAK
Week 9
3/28-4/1
Tue. March 29: MIDTERM #2 - Covers chapter 3 and sections 4.1-4.7. Review sheet and practice exam
5.1, 5.2 HW8 Due Mon 4/4
5.1: 3, 12, 14, 17, 23, 24
5.2: 6, 8, 14, 16
5.1: 1, 2, 3, 4, 7, 13, 19, 21, 29, 36
5.2: 1, 3, 9, 22, 23, 27, 30
Week 10
4/4-4/8
5.3, 5.4, 5.5 HW9 Due Mon 4/11:
5.3: 2, 6, 10, 12, 22, 23
5.4: 1, 4, 6, 9, 14, 23
5.5: 1, 2, 5, 8, 10, 12, 13, 14, 16
5.3: 1, 3, 4, 5, 7, 11, 21, 24, 25, 26, 31
5.4: 3, 7, 13, 17, 18
5.5: 3, 4, 6, 7, 9, 15, 18, 23

Assignment #3
Due Monday Apr. 4th
Week 11
4/11-4/15
5.6, 5.7, 6.1 HW10 Due Mon 4/18:
5.6: 1, 2, 10, 12, 14
6.1: 2, 5, 8, 10, 13, 19, 25, 28, 31
5.6: 3, 9, 11
6.1: 1, 3, 4, 6, 7, 12, 14, 20, 26, 27
Week 12
4/18-4/22
6.2, 6.3, 6.4 HW11 Due Mon 4/25:
6.2: 1, 4, 7, 12, 14, 15, 20, 33
6.3: 1, 4, 8, 9, 11, 15, 21
6.4: 2, 3, 8, 9, 14, 18
6.2: 2, 3, 5, 9, 11, 13, 17, 21, 23 6.3: 3, 5, 7, 13, 22
6.4: 5, 7, 11, 13, 15, 17

Assignment #4
Due Monday Apr. 18th
Week 13
4/25-4/29
6.5, 6.6, 7.1
HW13 Due Mon 5/2:
6.5: 2, 6, 10, 13, 16
6.5: 1, 3, 5, 7, 9, 17, 18, 19, 25, 26
6.6: 2, 4, 9
Week 14
5/2-5/6
7.1, 7.2, Review Not collected
7.1: 1, 3, 4, 5, 8, 10, 14, 17, 19, 23, 30
7.2: 2, 4, 6, 7, 9, 11, 13, 22
Thu. May 5 MIDTERM #3 - Covers sections 5.1-5.7, 6.1-6.6, 7.1-7.2. Review sheet and practice exam
Week 15
5/9-5/10
FINAL EXAM: Thu. May 12, 8am-10am - Use review sheet from Midterm 1, 2, 3. Fall 2010 final exam and its solution
Assignment #5
Due Monday May 9th