Mathematics 330 Homepage

Spring 2022 University of Nevada Reno

330 LINEAR ALGEBRA I (3+0) 3 credits

Vector analysis continued; abstract vector spaces; bases, inner products; projections; orthogonal complements, least squares; linear maps, structure theorems; elementary spectral theory; applications. Corequisite(s): MATH 283 R.

Instructor  Course Section                     Time
------------------------------------------------------------------------
Eric Olson  Math 330-1004 Linear Algebra       4:00-5:15am MW SLH 3
Eric Olson  Math 330-1005 Linear Algebra       3:00-4:15pm TR AB 206

Course Information

Instructor:
Eric Olson
email:
Please contact me through WebCampus
Office:
DMS 238 and through Zoom by appointment
Homepage:
https://fractal.math.unr.edu/~ejolson/330-22s/
Live Stream:
If you can't come to class due to sickness, quarantine or other reasons, please join via the Zoom link in WebCampus.
Grader:
Vanessa Vidas (through WebCampus)

Required Texts:
Linear Algebra and Its Applications, n-th Edition by David C. Lay.
https://www.pearson.com/mylab (class registration code)

Other resources:
MIT Open Courseware, Gilbert Strang, Spring 2010.
18-06-linear-algebra-spring-2010

Introduction to Applied Linear Algebra, Boyd and Vandenberghe.
http://vmls-book.stanford.edu/

Lecture Notes

Week 1
Course Outline and Margin Notes
Section 1004: Systems of Linear Equations
Section 1005: Matrix Multiplication

Week 2
Section 1004: Elementary Row Operations
Section 1005: LU Factorization
Section 1004: Many or No Solutions
Section 1005: Many or No Solutions

Week 3
Section 1004: The Augmented Matrix
Section 1005: The Augmented Matrix
Section 1004: On Solving Ax=0
Section 1005: On Solving Ax=0

Week 4
Section 1004: A=PLU Factorization
Section 1005: Linearly Dependent Sets
Section 1004: Linearly Dependent Sets
Section 1005: Geometry of Matrices

Week 5
Section 1004: Geometry of Matrices
Section 1005: The Matrix Transpose
Section 1004: The Matrix Transpose
Section 1005: The Inverse Matrix

Week 6
Section 1005: Invertible Matrix Theorem
Section 1004: Invertible Matrix Theorem
Section 1005: Null and Column Spaces

Week 7
Section 1004: Null and Column Spaces
Section 1005: The Basis Theorem
Section 1004: The Basis Theorem
Section 1005: Determinant Properties

Week 8
Section 1004: Determinant Properties
Section 1005: det(AB)=det(A)det(B)

Week 10
Section 1004: Cramer's Rule
Section 1005: Cramer's Rule
Section 1004: Eigenvalues and Eigenvectors
Section 1005: Eigenvalues and Eigenvectors

Week 11
Section 1004: Square Root of a Matrix
Section 1005: Square Root of a Matrix
Section 1004: A=AT and Real Eigenvalues
Section 1005: A=AT and Real Eigenvalues

Week 12
Section 1004: Gram-Schmidt Process
Section 1005: Gram-Schmidt Process
Section 1004: QR Factorization
Section 1005: QR Factorization

Week 13
Section 1004: Orthogonal Projections
Section 1005: Orthogonal Projections
Section 1004: Least Squares
Section 1005: Least Squares

Week 14
Section 1004: The Spectral Theorem
Section 1005: The Spectral Theorem

Week 15
Section 1004: The Singular Value Decomposition
Section 1005: The Singular Value Decomposition
Section 1004: More SVD Examples
Section 1005: More SVD Examples

Week 16
Section 1004: The Last Example
Section 1005: The Last Example

Announcements

[Finals Week] Final Exam

Our final exam will be held in person according to the schedule Attendance is mandatory to take the final unless you have made arrangements with the DRC or have other special considerations. Here are two sample exams for review: I've sent a message to the UNR Mathematics center. The review has been scheduled for May 4 at 1:30pm in AB110.

[04-May-2022] Final Review

The final review run by the Math Center is scheduled for May 4 at 1:30pm in AB110. Note the room and location.

[16-May-2022] Digital Wolf Pack Initiative

There is now a discussion topic on WebCampus about how an Apple iPad could be used when teaching calculus, linear algebra, differential equations and other mathematics courses you may have taken. There is no grade attached to this discussion.

As you may have noticed, I've been using a graphics tablet connected to a laptop computer to deliver my lectures. I think an iPad could be used in the same way and that's good. What I'm most interested in, however, is how a student might use an iPad during class and for homework.

As the university moves forward with the Digital Wolf Pack Initiative more and more students will have these devices and it would be useful to figure out how they can be used by the students to learn mathematics. Just as the administration asked the teachers what they thought might work, I'm also asking you what you think might work.

Again, there is no requirement to contribute any ideas here, but any ideas would be much appreciated. I'll forward them to a department-level discussion and also develop them in my own teaching.

[25-Apr-2022] Written Assignment 10 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[18/19-Apr-2022] In Class Exam 2

We will have our second in-class exam on the schedule Attendance is mandatory to take the test unless you have made arrangements with the DRC or have other special considerations. Here are two sample exams for review: I've sent a message to the UNR Mathematics center. Hopefully they will schedule a group review sometime before the exam.

[18-Apr-2022] Math Center Review

An in-person review at the UNR Math Center will be held at 9:30 AM Monday April 18. For some reason the schedule has not been updated on the Math Center's Review Sessions webpage; however, it does appear in the Math Center's Google Calendar.

[16-Apr-2002] Zoom Review Session

I will be holding a review session at 11 AM over Zoom for Exam 2. Please see your messages in WebCampus for details.

[15-Apr-2022] Written Assignment 9 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[08-Apr-2022] Written Assignment 8 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[28-Mar-2022] Written Assignment 7 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[21-Mar-2022] Written Assignment 6 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day. Note that the due date has been delayed until a week from Monday on account of the exam and Spring break.

[8/9-Mar-2022] In Class Exam 1

We will have our first in-class exam on the schedule Attendance is mandatory to take the test unless you have made arrangements with the DRC or have other special considerations. Here are two sample exams for review: I've sent a message to the UNR Mathematics center. Hopefully they will schedule a group review sometime before the exam.

[04-Mar-2022] Written Assignment 5 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[25-Feb-2022] Written Assignment 4 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[18-Feb-2022] Written Assignment 3 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[11-Feb-2022] Written Assignment 2 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[04-Feb-2022] Written Assignment 1 Due

Please work the problems from our book, scan your work and turn your answers in to WebCampus for grading before the end of the day.

[18-Jan-2022] COVID Contact Tracing

If there is a positive case in our class, university policy encourages the student to fill out the contact tracing form. I will inform the class if I become aware of any positive cases within the class. If you are feeling sick or have questions please contact me through the WebCampus messaging system. Please respect distancing guidelines and do no congregate at the front of the classroom before or after class.

[14-Jan-2022] Welcome Spring 2022

I am looking forward to seeing you Monday. As you may know, the campus currently has mandatory mask rules in place. To avoid people getting sick while attending class not only is it import to follow these and related guidelines, but to understand the spirit in which these rules were made. Please employ your best judgment to prevent the spread of the epidemic and its contagious variants.

Do not come to class if you are sick--even if it's something other than COVID-19. If you are subject to quarantine because of exposure to the disease, please stay home. If you are already sick or in quarantine and can't come on the first day of class, check the WebCampus page for this course later today for the Zoom link and other information.

While this section of Math 330 is not high-flex, in anticipation of increased absences due to the epidemic I will live-stream our class meetings each day at a link available in WebCampus and maintain an online archive of course materials including lecture notes, assignments and other announcements. Unless there is a change in policy, in-person attendance will be required for all exams and the final.

Last year I discovered that Zoom worked well for office hours as it provided greater flexibility to meet with students: Our meeting times can be arranged around individual schedules and there is no need to go to campus just to ask a question. Please send me a message on WebCampus to schedule all office hours.

As in previous semesters, students should avoid congregating around instructional space entrances before or after class sessions and exit the instructional space immediately after the end of instruction to help ensure social distancing and allow for the persons attending the next scheduled class session to enter. Note that students who cannot wear a face covering due to a medical condition or disability, or who are unable to remove a mask without assistance may seek accommodation through the Disability Resource Center.

Grading

     Exam 1                    50 points
     Exam 2                    50 points
     MyLab Math Online         50 points
     Handwritten Homework      50 points
     Final                    100 points
    ------------------------------------------
                              300 points total
Exams and quizzes will be interpreted according to the following grading scale:
    Grade        Minimum Percentage
      A                 90 %
      B                 80 %
      C                 70 %
      D                 60 %
The instructor reserves the right to give plus or minus grades and higher grades than shown on the scale if he believes they are warranted.

Quiz and Exam Schedule

There will be two exams and a final exam. In person attendance is mandatory for all exams and the final.

Course Policies

Communications Policy

Lectures and classroom activities will held in person and live streamed through through Zoom at the scheduled meeting time listed in MyNevada for this course. Please check the canvas page for the Meeting ID and Join URL under the Zoom tab if you are unable to make it to class. If you wish to set up an appointment for office hours please send me a message through WebCampus.

Late Policy

Students must have an approved university excuse to be eligible for a make-up exam. If you know that you will miss a scheduled exam please let me know as soon as possible.

Plagiarism

Students are encouraged to work in groups and consult resources outside of the required textbook when doing the homework for this class. Please cite any sources you used to complete your work including Wikipedia, other books, online discussion groups as well as personal communications. Exams and quizzes, unless otherwise noted, will be closed book, closed notes and must reflect your own independent work. Please consult the section on academic conduct below for additional information.

Diversity

This course is designed to comply with the UNR Core Objective 10 requirement on diversity and equity. More information about the core curriculum may be found in the UNR Catalog here.

COVID-19 Policies

Statement on COVID-19 Training Policies

Students must complete and follow all guidelines as stated in the Student COVID-19 Training modules, or any other trainings or directives provided by the University.

Statement on COVID-19 Face Coverings

In response to COVID-19, and in alignment with State of Nevada Governor Executive Orders, Roadmap to Recovery for Nevada plans, Nevada System of Higher Education directives, the University of Nevada President directives, and local, state, and national health official guidelines face coverings are required at all times while on campus, except when alone in a private office. This includes the classroom, laboratory, studio, creative space, or any type of in-person instructional activity, and public spaces. A "face covering" is defined as a covering that fully covers a person's nose and mouth, including without limitation, cloth face mask, surgical mask, towels, scarves, and bandanas (State of Nevada Emergency Directive 024). Students that cannot wear a face covering due to a medical condition or disability, or who are unable to remove a mask without assistance may seek an accommodation through the Disability Resource Center.

Statement on COVID-19 Social Distancing

Face coverings are not a substitute for social distancing. Students shall observe current social distancing guidelines where possible in accordance with the Phase we are in while in the classroom, laboratory, studio, creative space (hereafter referred to as instructional space) setting and in public spaces. Students should avoid congregating around instructional space entrances before or after class sessions. If the instructional space has designated entrance and exit doors students are required to use them. Students should exit the instructional space immediately after the end of instruction to help ensure social distancing and allow for the persons attending the next scheduled class session to enter.

Statement on COVID-19 Disinfecting Your Learning Space

Disinfecting supplies are provided for you to disinfect your learning space. You may also use your own disinfecting supplies.

Contact with Someone Testing Positive for COVID-19

Students must conduct daily health checks in accordance with CDC guidelines. Students testing positive for COVID-19, exhibiting COVID-19 symptoms or who have been in direct contact with someone testing positive for COVID-19 will not be allowed to attend in-person instructional activities and must leave the venue immediately. Students should contact the Student Health Center or their health care provider to receive care and who can provide the latest direction on quarantine and self-isolation. Contact your instructor immediately to make instructional and learning arrangements.

Local, State and Federal COVID-19 Information

Statement on Academic Success Services

Your student fees cover usage of the University Math Center, University Tutoring Center, and University Writing and Speaking Center. These centers support your classroom learning; it is your responsibility to take advantage of their services. Keep in mind that seeking help outside of class is the sign of a responsible and successful student.

Equal Opportunity Statement

The University of Nevada Department of Mathematics and Statistics is committed to equal opportunity in education for all students, including those with documented physical disabilities or documented learning disabilities. University policy states that it is the responsibility of students with documented disabilities to speak with the Disability Resource Center during the first week of each semester to discuss appropriate accommodations to ensure equity in grading, classroom experiences and outside assignments. For assistance with accessibility, or to report an issue, please use the Accessibility Help Form. The form is set up to automatically route your request to the appropriate office that can best assist you.

Statement on Audio and Video Recording

Surreptitious or covert video-taping of class or unauthorized audio recording of class is prohibited by law and by Board of Regents policy. This class may be videotaped or audio recorded only with the written permission of the instructor. In order to accommodate students with disabilities, some students may be given permission to record class lectures and discussions. Therefore, students should understand that their comments during class may be recorded.

Academic Conduct

Bring your student identification to all exams. Work independently on all exams and quizzes. Behaviors inappropriate to test taking may disturb other students and will be considered cheating. Don't send electronic messages, talk or pass notes with other students during a quiz or exam. Homework may be discussed freely. When taking a quiz or exam over Zoom or in the classroom don't read notes or books unless explicitly permitted. Sanctions for violations are specified in the University Academic Standards Policy. If you are unclear as to what constitutes cheating, please consult with me.

Final Exam

The final exams will be held in person as follows:
Last Updated: Fri Jan 14 10:24:58 PM UTC 2022