MATH 461 - Linear Algebra for Scientists and Engineers

Spring 2013


Instructor: Antoine Mellet

Office: Math Building 3314

Lectures: MWF 2:00pm - 2:50pm, ARM 0126

Office Hours: Mon. 10-11:30am


First day Hand-out


DAILY SCHEDULE and HOMEWORK ASSIGNMENTS


MATLAB ASSIGNMENTS


Discussion Session

Section Time TA TA's Office TA's Office Hours
0111 F 8:00am- 9:15am Matias Delgadino
0112 F 8:00am- 9:15am Yimei Fan
0121 F 10:00am-11:15am Matias Delgadino
0122 F 10:00am-11:15am Changhui Tan
0131 F 11:00am-12:15pm Yimei Fan
0132 F 11:00am-12:15pm Matthew Begue
0141 F 3:30pm- 4:45pm Matias Delgadino
0142 F 3:30pm- 4:45pm Yimei Fan
0143 F 3:30pm- 4:45pm Matthew Begue

Textbook:

Lay, Linear Algebra and Its Applications, 4th ed., Addison-Wesley.
Lay, Study Guide (for Linear Algebra and Its Applications), Addison-Wesley.


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 are posted on the course web site. You are encouraged to work in groups of two 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 both students 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

MATLAB ASSIGNMENTS (due in discussion session):


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: Wednesday, May 15 , 1:30-3:30 pm in ARM 0126


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
1/23-1/25
1.1, 1.2
Week 2
1/28-2/1
1.3, 1.4, 1.5, 1.7 HW 1, Due F 2/1:
1.1: 4, 10, 14, 16, 21.
1.2: 4, 11, 20, 23.
1.3: 5, 10, 14, 15, 21.
1.4: 1, 7, 12, 14, 22.
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, 13, 15, 21, 23, 25, 33.
Week 3
2/4-2/8
1.7, 1.8, 1.9, 2.1 HW 2 Due F 2/8:
1.5: 3, 5, 12, 13, 20, 22, 31.
1.7: 2, 3, 5, 10, 22, 25.
1.8: 1, 4, 8, 15, 19.
1.5: 1, 2, 7, 9, 11, 19, 21, 23, 25, 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
Week 4
2/11-2/15
2.1, 2.2, 2.3 HW 3, Due F 2/15:
1.9: 2, 4, 6, 8, 10, 12, 15, 18
2.1: 2, 4, 7, 12, 15, 17, 28
2.2: 2, 7, 10, 14, 17, 22, 32
1.9: 1, 3, 5, 7, 11, 17, 19, 24
2.1: 1, 6, 8, 10, 16, 18, 27
2.2: 1, 3, 5, 6, 9, 13, 28, 31, 36
Week 5
2/18-2/22
Mon. Feb 18 MIDTERM #1 - Covers sections 1.1-1.5, 1.7-1.9, 2.1-2.3 - Review sheet , practice exam,solution of practice exam
3.1,3.2 HW 4, Due F 2/22:
2.3: 2, 4, 6, 8, 15, 18, 22
3.1: 2, 10 , 14, 16, 37, 42
2.3: 1, 3, 5, 7, 9, 11, 12, 14, 16, 20, 28, 32, , 33, 34, 38, 41
3.1: 1, 4, 9, 11, 15, 17, 22, 25-30, 33-36, 40
Week 6
2/25-3/1
3.3, 4.1, 4.2 HW 5, Due F 3/1:
3.2: 2, 6, 12, 16, 22, 26
3.3: 2, 6, 10, 16, 20, 26, 29
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 F. 3/1
Week 7
3/4- 3/8
4.2, 4.3, 4.4 HW 6, Due F 3/8:
4.2: 4, 7, 14, 16, 19, 24, 28, 31, 33
4.2: 1, 3, 6, 9, 13, 15, 17, 25, 37
Week 8
3/11-3/15
4.5, 4.6, 4.7 HW 7, Due F 3/15:
4.3: 1, 4, 10, 13, 16, 21, 33
4.4: 2, 6, 8, 10, 13, 28, 32
4.5: 2, 3, 12, 14, 19, 22, 25
4.3: 3, 5, 8, 9, 15, 23, 25, 31, 34
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

Assignment #2
Due F. 3/15
------ SPRING BREAK --------
Week 9
3/25 - 3/29
5.1, 5.2 HW 8, Due F 3/29:
4.6: 2, 6, 8, 16, 21, 24, 28
4.7: 2, 7, 14
5.1: 3, 12, 14, 17, 23, 24
4.6: 1, 5-12, 15, 18, 25, 27
4.7: 1, 3, 4, 5, 11, 13, 15
5.1: 1, 2, 3, 4, 7, 13, 19, 21, 29, 36
Week 10
4/1-4/5
Monday April 1: MIDTERM #2 - Covers chapter 3 and sections 4.1-4.7 and 5.1-5.2. Review sheet, practice exam, solution of practice exam
5.3, 5.4 HW 9 Due F 4/5:
5.2: 6, 8, 14, 16
5.3: 2, 6, 10, 12, 22, 23
5.2: 1, 3, 9, 22, 23, 27, 30
5.3: 1, 3, 4, 5, 7, 11, 21, 24, 25, 26, 31

Assignment #3
Due F. 4/5
Week 11
4/8-4/12
5.5, 5.6, 5.7 HW 10 Due F 4/12:
5.4: 1, 4, 6, 9, 11, 14
5.5: 2, 6, 8, 10, 14, 16
5.4: 3, 7, 13, 17, 18
5.5: 1, 3, 4, 5, 7, 9, 12, 13, 15, 18, 23
Week 12
4/15-4/19
6.1, 6.2, 6.3 HW 11 Due F 4/19:
5.6: 2, 10, 12, 14
5.7: 3, 5
6.1: 2, 8, 10, 13, 19, 25, 28, 31
5.6: 1, 3, 9, 11
6.1: 1, 3, 4, 5, 6, 7, 12, 14, 20, 26, 27

Assignment #4
Due F. 4/19
Week 13
4/22-4/26
6.4, 6.5, 6.6, 7.1
HW 12 Due F 4/26:
6.2: 1, 4, 7, 12, 14, 15, 20
6.3: 1, 4, 8, 11, 15
6.4: 2, 9, 10
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 14
4/29-5/3
7.1, 7.2 HW 13 Due F 5/3:
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
7.2: 2, 4, 6, 7, 9, 11, 13, 22

Assignment #5
Due F. 5/3
Week 15
5/6-5/9
Mon. May 6: MIDTERM #3 - Covers sections 5.3-5.7, 6.1-6.6, 7.1-7.2. Review sheet, practice exam solution of practice exam
Review
FINAL EXAM: Wednesday, May 15 , 1:30-3:30 pm - Practice final exam, solution of practice exam