Software for the course
Octave
Matlab
Matlab for URI
Matlab Portal You will be asked to enter your valid URI email address, and a verification email will be sent back to you to confirm and make an account with MathWorks.
Example using Row ops in Matlab/Octave

A = [1 2 3; 0 1 0; 1 1 1]

and Matlab/Octave responds with

A =

1 2 3

0 1 0

1 1 1

You enter row by row, separating rows with semicolons. Between
row elements, you can use spaces or commas.

Matlab/Octave elementary row operations.
Ex. R1 <---> R3

A([1 3],:) = A([3 1],:)

Ex. 2*R3 ---> R3

A(3,:) = 2*A(3,:)

Ex. 5*R2 + R1 ---> R1

A(1,:) = A(1,:) + 5*A(2,:)

Applications

Syllabus
Course and Section number:
MTH 215 Section 01
Course Title:
Linear Algebra
Semester and Year:
Fall 2019
Class Day(s)/Time::
MWF, 12:00pm to 12:50pm
Class Location:
Lippitt Hall 204
Instructor:
James Baglama
Office Location:
Lippitt Hall 200
Office Hours:
MW 11:00am to 11:50am
Contact Information
Phone:401.874.2709 and Email:j(mylastname)(AT)uri.edu

Course Description:
LEC: (3 crs.) Detailed study of finite dimensional vector spaces, linear transformations, matrices, determinants and systems of linear equations.

Prerequisite(s):
C- or better in MTH 131, 141, 180, or equivalent.

General Education Area(s) and Outcome(s): None

Credit Hours: 3

Required Textbook(s): Linear Algebra and its Applications 5th edition by Lay et al, Pearson; ISBN-13: 978-0-321-98238-4

Other Required Material(s): You may use a calculator for homework and exams to do routine calculations. You will need to use Octave or Matlab for the project(s). Octave online:
http://octave-online.net/

Course Goals:
Linear algebra is a branch of mathematics that studies systems of linear
equations, vector spaces, linear transformations, and the properties of matrices.
Students will be able to apply the concepts and methods of linear algebra
that play an essential role in mathematics and in many technical areas of modern society, such as computer science, data science, engineering, physics, environmental science, economics, statistics, business management, and social sciences.

Learning Outcomes: At the end of the course the student should be able to:

solve a linear system of equations by using row operations;
represent linear systems in different formats;
compute basis vectors and detemine linear independence of vectors;
write general solutions to linear systems;
perform matrix and vector operations (e.g. addition, subtraction,
multiplication, and scalar multiplication);
compute the inverse of matrix;
compute rank and null space of a matrix;
work with linear transformations;
work within vector spaces and subpsaces;
compute determinants;
compute eigenvalues and eigenvectors;
use technology to analyze methods and perform calculations;
communicate effectively in written form mathematical ideas
and conclusions, by stating in a complete, clear, concise, and
organized manner steps, calculations, solution strategy, conclusions,
and when appropriate, interpreting results in practical or applied terms.

Grade Distribution:

Letter Grade Distribution:

92 - 100 A 72 - 76 C
90 - 91 A- 70 - 71 C-
87 - 89 B+ 67 - 69 D+
82 - 86 B 60 - 66 D
80 - 81 B- 0.00 - 59 F
77 - 79 C+

Instructor Policies for the Course:

Assignments
Homework will be assigned for section of the textbook we cover. A list of homework problems is posted on this website. Do NOT email your homework to me! Homework must have
your name
chapter and section number
list of problems assigned
complete solution (answers only will be given no credit)
multiple pages stapled or corners folded with pages numbered and your name on each page.
If I cannot read it or follow the solution, then it is marked incorrect. Pencils only please. I will not accept ANY late or incomplete homework assignments.
Attendance
Attendance is a vital and necessary part of this course. While there is no formal attendance
policy, we cover a lot of information at a rapid pace; missing a class will result in a large
amount of material missed. Students are responsible for all missed work, regardless of the
reason for absence. It is also the absentee's responsibility to get all missing notes or materials.
Expectations
You are expected to attend every lecture, and to submit your work on time. Late
homework is not accepted.
It is your responsibility to clearly communicate your solutions for homework,
projects, and exams. Your results (answers) must display a strong understanding of the material
and be written in a correct, complete, coherent, and well-organized fashion.
The rapid pace of the class requires that you spend time every day doing homework,
reviewing notes, reading the textbook, and working out extra problems.
Makeup Policy
Makeup exams may be scheduled in the event you are unable to attend exams under the following conditions.
See University Manual
sections 8.51.10 to 8.51.14 for guidelines.
If your reason for missing the exam as scheduled is (i) a University sanctioned
event for which verifiable documentation can be provided, (ii) a
responsibility to an employer that cannot be rescheduled (with documentation from your employer), or (iii) Religious holidays, then you
must inform your instructor 48 hours in advance of the exam and provide documentation if requested. Makeup exams will be scheduled after the actual exam, and preferably
before the class period when exams are to be handed back, but no later than one week
after the original date.
If the reason for missing the exam as scheduled is due to (i) illness (with verifiable documentation from a medical provider if requested),
or (ii) an emergency (with appropriate documentation if requested),
then you must contact your instructor within 24 hours of the exam.
Makeup exams may be scheduled no later than a week after the original date, unless the illness or
emergency precludes this, in which case we will follow the University Manual sections
8.51.10 to 8.51.14.
Failure to notify your instructor within 7 calendar days of your absence will
result in a 0 for the exam, see section 8.51.14 Univeristy Manual.
Students that miss course work (not exams) under the same the conditions mentioned above
will be given an opportunity to make up the course work.
Electronic Devices
Cell phones, ipads, ipods, etc. should be turned off during class. Excepted from this are
electronic devices used for notetaking.
Other Policies
All class materials (e.g. notes, projects, exams, lectures, etc.) are property of URI and
the instructor. Copying, video taping, taking pictures, or posting this material
is not allowed without consent of the instructor. See
University Manual section 8.27.22 .
Please come to class prepared by reading over the section of text that will be
covered and by bringing your book, notebook and pencil.
You are here to learn, so please give class your full attention, ask questions if you do not
understand and be respectful and courteous to your fellow students and professor.

Academic Honesty Policy:
Cheating is defined in the University Manual as the claiming of credit for work
not done independently without giving credit for aid received, or any unauthorized communication
during examinations. Students are expected to be honest in all academic work. The resolution of
any charge of cheating or plagiarism will follow the guideline set forth in the University Manual
8.27.10-8.27.21, http://web.uri.edu/manual/chapter-8/chapter-8-2/ .

Special Needs:
Any student with a documented disability should contact your instructor early in the semester so
that he or she may work out reasonable accommodations with you to support your success in this
course. Students should also contact Disability Services for Students:
Office of Student Life, 302 Memorial Union, 401-874-2098. They will determine with you what accommodations are necessary and
appropriate. All information and documentation is confidential.

Incomplete Grade:
University of Rhode Island regulations concerning incomplete grades will be followed. See University
Manual sections 8.53.20 and 8.53.21 for details.

Religious holidays:
It is the policy of the University of Rhode Island to accord students, on an individual basis, the
opportunity to observe their traditional religious holidays. Students desiring to observe a holiday
of special importance must provide written notification to your instructor.

Standards of behavior:
Students are responsible for being familiar with and adhering to the published Community
Standards of Behavior: University Policies and Regulations" which can be accessed in the University
Student Handbook (
http://web.uri.edu/studentconduct/university-student-handbook/ ). If you must come
in late, please do not disrupt the class. Please turn off all cell phones or any electronic devices.

Projects
The goals of a project are to use the concepts from linear algebra
to solve real life applications. You can work in groups, no more than 4
students per group. You must use a computer software system to solve these
applications. Octave is very easy to use and is free. You can also use Matlab.
You can NOT use a graphing calculator or code written by
someone who is not in your group. All projects must be submitted through Sakai using the
Assignment tool and ALL members of the group must upload the project.
Do NOT email the projects to me! Projects must have a list of all
the names of students in your group. I will not accept ANY late or incomplete projects.

Calendar and Slides
The following calendar gives a timetable for the course. We might be slightly
behind or ahead at any given time. Check here often, as the Calendar will be
updated according to the pace of the class.
Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.
Week Events
Resources/Practice
Section/Notes
Homework Problems
Due Date
1
Sept. 4 - Sept. 6
First Day Wed. Sept. 4
2x2 Linear system graph
Example 1
Example 2
Example 2-Ans
Example 2a
Section 1.1
(Section 1.1) 1, 2, 7, 8, 11, 13, 19-22, 25, 30, 31, 32
(1.1) 9/11
2
Sept. 9 - Sept. 13
Example 3
Example 4
Example 4 Answers
Adding vectors
Linear combinations(1)
Linear combinations(2)
Section 1.2
Section 1.3
(Section 1.2) 1, 3, 7-12 15, 17,20, 23, 28
(Section 1.3) 1, 3, 5, 11, 13, 17, 19, 25
(1.2) 9/16 (1.3) 9/20
3
Sept. 16 - Sept. 20
Project 1 Discussion
Example 5
Example 5 Answers
Practice in Span
Plan in R^{3}
Section 1.4
Section 1.5
(Section 1.4) 1, 3, 5, 9, 12, 13, 15, 17, 21, 25, 32
(Section 1.5) 3, 5, 9, 11, 13, 17, 19, 21, 29-33
(1.4) 9/25
4
Sept. 23 - Sept. 27
Project 1 Fri. Sept. 27
Linear Independent?
Graph Transformation
ski.txt
Section 1.7
Section 1.8
(Section 1.7) 3, 5, 7, 9, 13, 15, 16, 19, 26, 27, 33
(Section 1.8) 1, 3, 7, 9, 11, 13, 17, 19, 27, 31, 32
5
Sept. 30 - Oct. 4
Exam 1 (Chapter 1) Fri. Oct. 4
Extra Office hours 12pm-2pm Thurs. 10/4
Matrix Transformation
Section 1.9
(Section 1.9) 1, 2, 5, 7, 9, 17, 19
6
Oct. 7 - Oct. 11
Abe.txt
Project 2 Discussion
Graph
Erdős Number
Matrix Prod (row)
Practice Matrix-Products
Practice Matrix-Products Answers
Section 2.1
Section 6.1 (Angle)
(Section 2.1) 1, 3, 5, 7, 9, 13, 17, 23, 24, 27
(Section 6.1) 1, 5, 7, 10, 13, 23 (compute angle between u and v for 23)
7
Oct. 14 - Oct. 18
No class on Monday Oct. 14 Class meets on Tuesday Oct. 15
Compute Matrix Inverse
Practice Inverse
Practice Inverse Answer
Section 2.2
Section 2.3
(Section 2.2) 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33
(Section 2.3) 1, 3, 7, 8, 9, 13, 15-17, 22
8
Oct. 21 - Oct. 25
Project 2 Fri. Oct. 25
Flop cofactor
Practice Det
Practice Det Answers
Sections 3.1 & 3.2
(Section 3.1) 1, 3, 5, 9, 11, 13, 20, 21, 25, 33-36
(Section 3.2) 3, 5, 9, 11, 13, 15, 23 , 25, 31
9
Oct. 28 - Nov. 1
Exam 2 (Chapters 2 and 3) Fri. Nov. 1 Extra Office hours 12pm-2pm Thurs. 10/31
Section 5.1
(Section 5.1) 1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38
10
Nov. 4 - Nov. 8
Compute Eigenvalues
Practice Eig
Eig - Relates - Poly
Section 5.2
Section 5.3
(Section 5.2) 1, 3, 7, 9, 10, 15, 18, 23
(Section 5.3) 1, 3, 9, 13, 18, 27, 31
11
Nov. 11 - Nov. 15
No Class Mon. Nov. 11
Example 4
Section 4.1
(Section 4.1) 1, 3, 7, 9, 13, 17, 21, 23, 24
12
Nov. 18 - Nov. 22
Project 3 Discussion
Subspace Practice
Section 4.2
Section 4.3
(Section 4.2) 1, 3, 5, 7, 10, 17, 19, 23, 27
(Section 4.3) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37
13
Nov. 25 - Nov. 29
Thanksgiving Break No Class Wed. Nov. 27 No Class Fri. Nov. 29
Section 4.3
(Section 4.3) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37
14
Dec. 2 - Dec. 6 Last Day Mon. Dec. 9
Exam 3 (Chapters 4 and 5) Mon. Dec. 9 Project 3 Fri. Dec. 6
Section 4.5
Section 4.6
(Section 4.5) 1, 3, 5, 7, 11, 13, 17, 21, 22
(Section 4.6) 1, 3, 5, 7, 11, 25, 26, 31
15
Dec. 16
Final Exam (Chapters 1, 2, 3, 4, 5, and 6) 11:30 am - 2:30 pm Lippitt 204