MATH 461 - Linear Algebra for Scientists and Engineers

Fall 2011


Instructor: Antoine Mellet

Office: Math Building 4104

Lectures: MWF 12:00pm-12:50pm, ARM 0131

Office Hours: M 10-11am and by appointment


First day Hand-out


DAILY SCHEDULE and HOMEWORK ASSIGNMENTS


MATLAB ASSIGNMENTS


Discussion Session

Section Time Room TA TA's Office TA's Office HoursTA's email
0111 Th 8:00am- 8:50amMTH B0427 Wenqing Hu MTH 4307Th 9am-10am, 1pm-2pm huwenqing@math
0112 Th 9:00am- 9:50amMTH B0425 Peng Gao MTH 2117 Th 12pm-2pm pgao@math
0121 Th 10:00am-10:50am MTH B0423 Wenqing Hu MTH 4307 Th 9am-10am, 1pm-2pm huwenqing@math
0122 Th 10:00am-10:50am MTH B0425 Peng Gao MTH 2117 Th 12pm-2pm pgao@math
0131 Th 11:00am-11:50am MTH B0427 Wenqing Hu MTH 4307 Th 9am-10am, 1pm-2pm huwenqing@math
0132 Th 11:00am-11:50am MTH B0423 Peng Gao MTH 2117 Th 12pm-2pm pgao@math
0133 Th 11:00am-11:50am EGR 1102 Wan-Yu Tsai MTH 4303 Tu 3pm-4pm, Th 12pm-1pm wanyu@math

Textbook:

Lay, Linear Algebra and Its Applications, 4th ed., Addison-Wesley.
Lay, Study Guide (for Linear Algebra and Its Applications), Addison-Wesley.
You can also check the book web site (previous edition).


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:

Final exam: Tuesday, Dec 20, 8:00am-10:00am


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.

Note: The homework assignments below are from the latest 4th edition of Lay's book. Unfortunately, the problems in the 3rd edition are different (so the 3rd edition cannot be used to complete homework assignments).



Week Sections covered in class Homework collected
from the 4th Edition of Lay's book
Additional suggested homework problems
(not collected)
Matlab
Week 1
8/31-9/2
1.1, 1.2
Week 2
9/5-9/9
1.3, 1.4, 1.5 HW 1, Due Th 9/8:
1.1: 4, 10, 14, 16, 21.
1.2: 4, 11, 20, 23.
1.3: 5, 10, 14, 15, 21.
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.
Week 3
9/11-9/16
1.7, 1.8 HW 2 Due Th 9/15:
1.4: 1, 7, 12, 14, 22.
1.5: 3, 5, 12, 13, 20, 22, 31.
1.4: 5, 11, 13, 15, 21, 23, 25, 33.
1.5: 1, 2, 7, 9, 11, 19, 21, 23, 25, 37.
Week 4
9/18-9/23
1.9, 2.1, 2.2 HW 3, Due Th 9/22:
1.7: 2, 3, 5, 10, 22, 25.
1.8: 1, 4, 8, 15, 19.
1.9: 2, 4, 6, 8, 10, 12, 15, 18
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 5
9/25-9/30
2.3 HW 4, Due Th 9/29:
2.1: 2, 4, 7, 12, 15, 17, 28
2.2: 2, 7, 10, 14, 17, 22, 32
2.3: 2, 4, 6, 8, 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
Wed. Sept. 28 MIDTERM #1 - Covers sections 1.1-1.5, 1.7-1.9, 2.1-2.3 - Review sheet , practice exam, solution of practice exam
3.1
Week 6
10/3-10/7
3.2, 3.3, 4.1 HW 5, Due Th 10/6:
3.1: 2, 10 , 14, 16, 37, 42
3.2: 2, 6, 12, 16, 22, 26
3.1: 1, 4, 9, 11, 15, 17, 22, 25-30, 33-36, 40
3.2: 4, 5, 7, 8, 15, 17-21, 28

Assignment #1
Due Th. 10/6
Week 7
10/10-10/14
4.1, 4.2, 4.3 HW 6, Due Th 10/13:
3.3: 2, 6, 10, 16, 20, 26, 29
4.1: 2, 6, 8, 10, 13, 18, 21, 31
3.3: 1, 5, 7, 19, 21, 23
4.1: 1, 3, 4, 5, 7, 11, 15, 17, 23
Week 8
10/17-10/21
4.3, 4.4, 4.5 HW 7, Due Th 10/20:
4.2: 4, 7, 14, 16, 19, 24, 28, 31, 33
4.3: 1, 4, 10, 13, 16, 21, 33
4.4: 2, 6, 8
4.2: 1, 3, 6, 9, 13, 15, 17, 25, 37
4.3: 3, 5, 8, 9, 15, 23, 25, 31, 34

Assignment #2
Due Th 10/20
Week 9
10/24-10/28
4.6, 4.7 HW 8, Due Th 10/27:
4.4: 10, 13, 28, 32
4.5: 2, 3, 12, 14, 19, 22, 25
4.6: 2, 6, 8, 16, 21, 24, 28
4.7: 2, 7, 14
4.4: 1, 3, 4, 6, 8, 11, 14, 16, 21, 27, 31
4.5: 1, 4, 5, 9, 11, 13, 21, 29, 30, 32
4.6: 1, 5-12, 15, 18, 25, 27
4.7: 1, 3, 4, 5, 11, 13, 15
Fri. Oct. 28: MIDTERM #2 - Covers chapter 3 and sections 4.1-4.7. Review sheet, practice exam, solution of practice exam
Week 10
10/31-11/4
5.1, 5.2, 5.3 HW9 Due Th 11/3:
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

Assignment #3
Due Th 11/3
Week 11
11/7-11/11
5.4, 5.5, 5.6 HW10 Due Th 11/10:
5.3: 2, 6, 10, 12, 22, 23
5.4: 1, 4, 6, 9, 11, 14
5.3: 1, 3, 4, 5, 7, 11, 21, 24, 25, 26, 31
5.4: 3, 7, 13, 17, 18
Week 12
11/14-11/18
5.6, 5.7, 6.1, 6.2 HW11 Due Th 11/17:
5.5: 2, 6, 8, 10, 14, 16
5.6: 2, 10, 12, 14
5.7: 3, 5
5.5: 1, 3, 4, 5, 7, 9, 12, 13, 15, 18, 23
5.6: 1, 3, 9, 11

Assignment #4
Due Th 11/17
Week 13
11/21-11/25
6.2, 6.3, 6.4
(No Homework -- Thanksgiving)
Week 14
11/28-12/2
6.4, 6.5, 6.6 HW12 Due Th 12/1:
6.1: 2, 8, 10, 13, 19, 25, 28, 31
6.2: 1, 4, 7, 12, 14, 15, 20
6.3: 1, 4, 8, 11, 15
6.4: 2, 9, 10
6.1: 1, 3, 4, 5, 6, 7, 12, 14, 20, 26, 27
6.2: 2, 3, 5, 9, 11, 13, 17, 21, 23
6.3: 3, 5, 7, 9, 13, 22
6.4: 4, 5, 8, 11, 12,
Week 15
12/5-12/9
Mon. Dec. 5: MIDTERM #3 - Covers sections 5.1-5.7, 6.1-6.6. Review sheet, practice exam, solution of practice exam
7.1, 7.2 HW13 Due Th 12/8:
6.5: 2, 6, 10, 13, 16
6.6: 3, 8a, 9
7.1: 1-6, 8, 10, 14, 19
6.5: 1, 3, 5, 7, 9, 17, 18, 19, 25, 26
6.6: 2, 4
7.1: 15, 17, 23, 30

Assignment #5
Due Th 12/8
Week 16
12/12-12/13
7.2, Review Not due
7.2: 2, 4, 6, 7, 9, 11, 13
FINAL EXAM: Tuesday, Dec 20, 8:00am-10:00am in ARM 0131 - Review sheet, Practice final exam, solution of practice exam