MATH 2331: Linear Algebra
Course Meeting Times and
Place: TTh 1 - 2:30 in CBB 124
Office Hours: TTh, 12 - 1. You
can also email me for an appointment
Teaching Assistants: Nicole
Leonhard
<leonhard@math.uh.edu>
-
email
for
appointment
and
if
you
have
questions
Simon Stolarczyk <simon.stolarczyk@gmail.com>
- CASA hours: TTh 5-7
Text: Linear Algebra and Its
Applications (4th Edition) [Hardcover], David C. Lay.
Note: We will occasionally use
Matlab in this course. You can purchase the student version
(recommended), or download
and
install
Octave (free, but slower and more difficult to install).
Here are links for the matlab
tutorial or in the Octave
manual. Download the m-files in this
directory to the directory where you installed the software, start
it and use the diary on and diary off command to store your work in a
file, see the example diary. The use of the elementary row operations
is explained in the readme. Print the diary file and attach the
printout to your homework.
A
full
syllabus
for
the
course
is
available
here.
Important dates: 1/29
-
Last
day
to
drop
without
a
W
2/18 - Exam 1
4/3 - Exam 2
5/8 - Final Exam
Notes and Assignments -
some of the links are to material for Dr. Morgan's online course.
Online
live
tutoring: Tuesdays 10-11:30 am
Tutor: Dr. Vandana Sharma
Face-to-face tutoring in CASA
Mondays: 11am-2:30pm
Wednesdays: 11am-2:30pm
Fridays: 10am-1pm
| Date
Assigned |
Date
Due
|
Type |
Assignment |
|
1/21
|
Homework
|
1.1
– 5, 8, 10,
14, 16, 18, 20, 24, 30, 32
1.2 – 2, 4, 10,
14, 16, 20, 22, 34
|
1/14
|
1/16
|
Reading
|
Why is linear algebra important?
Read about it here
and here.
I may ask
about it on a quiz.
|
1/14
|
1/14
|
Lecture Notes
|
Slides
|
1/16
|
1/16
|
Video
|
Help
with
section
1.1 and notes.
Answer in first problem should be (-8,3).
|
1/16
|
1/16
|
Video
|
Help
with
section
1.2 and notes.
|
1/16
|
1/16
|
Reading
|
Week
1
essentials.
|
1/16
|
1/16
|
Lecture Notes
|
Slides
|
1/21
|
1/28
|
Homework |
1.3
– 1, 3, 5,
9, 11, 13, 17, 21, 23, 27
1.4 – 1, 3, 7,
9, 11, 13, 15, 17, 19, 21, 23, 25
1.5
– 1, 3, 5,
7, 11, 17, 19, 21, 23
|
1/21
|
1/21
|
Lecture notes
|
Slides
|
1/21
|
1/21
|
Video
|
Help
with
sections
1.3
and
1.4
|
1/23
|
1/23
|
Lecture notes
|
Slides
|
1/23
|
1/23
|
Video
|
Help
with
sections
1.5
and
1.7
|
1/23
|
1/23
|
Worked problems
|
A
couple
harder
worked
problems
|
1/29
|
2/6
|
Homework
|
1.7
– 1, 3, 5,
7, 9, 11, 13, 15, 17, 19, 21, 31, 41
1.8 – 1, 3, 5,
7, 9, 11, 19, 21
|
1/29
|
1/29
|
Video
|
Linear
Combinations, Matrices
and
systems,
Linear
Independence, Help
with
1.8
|
1/29
|
1/29
|
Illustration
|
Linear
Transformation
|
1/30
|
1/30
|
Lecture notes
|
Slides |
1/31
|
1/31
|
Worked problems
|
Two
worked
problems
|
2/4
|
2/11
|
Homework
|
2.1
– 1, 7, 11,
15, 27
2.2 – 1, 5, 7,
9, 13, 29, 33, 35
2.3 – 3, 5, 7,
11, 13, 15, 17, 19, 33
|
2/4
|
2/4
|
Video
|
Help with sections
1.8 and section
2.1
|
2/4
|
2/4
|
Illustration
|
Explore
rotations
and
dilations
|
2/6
|
2/6
|
Lecture Notes
|
Slides |
2/6
|
2/6
|
Matlab
|
Got to the Matlab files folder and look
at the
readme file for transUH and transUH2. You will
find two bonus homework problems.
|
2/11
|
2/13
|
Practice Exam
|
Practice
Exam
1 - Solutions
Also this Quiz
for practice.
Answers: 1e, 2d, 3a, 4b, 5d, 6d, 7a, 8a, 9a, 10b. |
2/11
|
2/20
|
Homework
|
2.8
– 1, 3, 7,
9, 11, 17, 21, 23, 25, 33, 37
|
2/11
|
2/11
|
Video
|
Video Help with section 2.2,
section
2.3,
section
2.8, and section
2.9
|
2/11
|
2/11
|
Lecture Notes
|
Slides |
2/20
|
2/27
|
Homework
|
2.9
– All
problems 1 - 30
3.1 - 1-14 (Do these by hand and
show every step).
|
2/16
|
2/16
|
Worked Problems
|
Homework
2 and Homework
4
|
2/25
|
2/25
|
Video
|
Video help with section
3.1, section
3.2, and
section
3.3
|
2/26
|
2/26
|
|
LAST DAY
TO DROP WITH A W!
|
2/27
|
3/6
|
Homework
|
3.2
– 2, 4, 6,
8, 10, 16, 18, 20, 22, 24, 26, 28, 34, 36
3.3
– 2, 4, 6,
8, 10, 20, 22, 24, 28, 30
|
3/4
|
3/4
|
Illustration
|
Here is more
about
linear
transformations, determinants
and changes in area
|
3/4
|
3/4
|
Video
|
Video help with section
4.1, section
4.2 and
section
4.3
|
3/4
|
3/4
|
Lecture Notes
|
Slides
|
3/6
|
3/20
|
Homework
|
4.1
– 2, 4, 6,
8, 10, 12, 14, 16, 18, 20, 22, 24, 36
4.2 – 2, 6, 8,
10, 12, 14, 16, 18, 24, 26, 38
4.3
– 2, 4, 6,
8, 10, 16, 18, 22, 34, 38
|
3/4
|
3/4
|
Worked Problem
|
Problem
2.8.37
|
3/6
|
3/6
|
Lecture Notes
|
Slides
|
3/6
|
3/6
|
Reading
|
Read more about eigenfaces. Here are
some more picutres.
|
3/18
|
3/18
|
Worked Problems
|
A few problems
from
Homework
7 (Section 3.2 and 3.3)
|
3/18
|
3/18
|
Lecture Notes
|
Slides |
3/20
|
3/27
|
Homework
|
4.4
– 2, 4, 6,
8, 10, 12, 14, 16, 20, 28, 30, 32, 34, 36
4.5
– 2, 4, 6,
10, 12, 14, 16, 18, 20, 22, 24, 34
4.6
– 2, 4, 6,
8, 10, 12, 14, 16, 18, 30, 32, 35
|
3/20
|
3/20
|
Video
|
Video help with section 4.4,
4.5
and 4.6
and notes.
|
3/18
|
3/27
|
Bonus problem
|
Show that 1-x^5, 1-x, (1+x)^2, x^3,
(1-x)^4, 1+x^5 is a basis for
the vector space of all polynomials with degree up to five.
Express the vector 1 + 2x - 3x^2 + x^4 - 5x^5 in this basis.
You can use Matlab to do this, but show all your steps.
|
3/25
|
4/3
|
Homework
|
5.1
– 2, 4, 6,
8, 10, 12, 14, 16, 18, 20, 22, 38, 40
5.2 – 2, 4, 6,
10, 12, 14, 16, 18, 20, 22, 24, 30
5.3 – 2, 4, 6,
8, 10, 12, 14, 16, 18, 20, 22, 34
|
3/25
|
3/25
|
Video
|
Video help with section 5.1, 5.2
and 5.3
and notes. |
3/26
|
3/26
|
|
LAST
DATE TO DROP WITH A W
|
3/25
|
3/25
|
Lecture Notes
|
Slides |
3/25
|
3/25
|
Practice Exam
|
Practice
Exam
2 and Solutions
|
3/25
|
3/25
|
Worked Problems
|
A
few
problems
from
Homework
8
|
3/25
|
4/3
|
Bonus Problem
|
Consider the sequence of numbers which
starts with
x_0 = 1, x_1 = 2, and each subsequent number is the
average of the previous two numbers. What is the
1000th number in the sequence?
|
3/27
|
3/27
|
slides
|
Slides |
4/3
|
4/10
|
Homework
|
5.5
– 2, 6, 8,
10, 12, 14, 18, 28
5.6
– 2, 4, 6,
8, 10, 12, 14, 16, 18 - BONUS
Note: All problems
in 5.6 will be counted as bonus
problems.
|
4/1
|
4/1
|
slides
|
Slides |
4/1
|
4/1
|
Video
|
|
4/8
|
4/22
|
Homework
|
6.1
– 2, 6, 8,
10, 12, 14, 16, 18, 20,
6.2
– 2, 6, 8,
10, 14, 16, 22, 24
6.3
– 2, 4, 6,
8, 10, 12, 14, 16, 22
|
4/8
|
4/8
|
Video
|
Video solutions to problems in 6.1,
6.2
and 6.3
and Notes
|
4/15
|
4/15
|
slides
|
Slides |
4/17
|
4/17
|
Worked Problems
|
A few problems
from
Homework
10
|
4/17
|
4/17
|
Practice Final
|
Practice
Final
Solutions
to Practice Final
|
4/17
|
4/17
|
slides
|
Slides |
4/22
|
4/22
|
Worked Problem
|
A
challenging
problem from Homework 11
|
4/22
|
4/22
|
slides
|
Slides |
4/22
|
4/29
|
Homework
|
6.4
– 2, 6, 10,
12, 18, 24
6.5 – 2, 4, 6,
8, 10, 12, 18,
6.6
– 1, 2, 4,
6
|
4/22
|
4/22
|
Video
|
Video solutions to problems in 6.4,
6.5
and 6.3
and Notes |
|