Mathematics 330 Homepage

Fall 2021 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 330-1002 Linear Algebra       10:00-10:50am MWF PE 104 
Eric Olson  Math 330-1006 Linear Algebra       11:00-11:50pm MWF AB 213

Course Information

Instructor:: Eric Olson
email:: ejolson at unr edu (better to contact me through WebCampus).
Office:: DMS 238 and through Zoom by appointment.
Homepage:: http://fractal.math.unr.edu/~ejolson/330/
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:: Aiden Johnson (please contact Aiden 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

Aug 23 -- Outline of the course and syllabus
Aug 25 -- Row operations (10am, 11am)
Aug 27 -- Linear systems (10am, 11am)
Aug 30 -- Free variables (10am, 11am)
Sep 01 -- Matrix vector multiplication (10am, 11am)
Sep 03 -- Linear spaces (10am)
Sep 03 -- Matrix matrix multiply (11am)
Sep 08 -- Matrix matrix multiply (10am)
Sep 08 -- Linear spaces (11am)
Sep 10 -- Linear transformations (10am, 11am)
Sep 13 -- The inverse matrix (10am, 11am)
Sep 15 -- The LU factorization (10am, 11am)
Sep 17 -- Using the LU factorization (10am, 11am)
Sep 20 -- The matrix transpose (10am, 11am)
Sep 22 -- Matrix of a row operation (10am, 11am)
Sep 27 -- Column and null spaces (10am, 11am)
Sep 29 -- Discussion of the basis theorem (10am)
Sep 29 -- Column and null space example (11am)
Oct 01 -- Proof of the basis theorem (10am, 11am)
Oct 04 -- Definition of determinant (10am, 11am)
Oct 06 -- Determinant by A=LU (10am, 11am)
Oct 08 -- Why det(AB)=det(A)det(B) (10am, 11am)
Oct 11 -- Cramer's rule (10am, 11am)
Oct 13 -- Gram-Schmidt algorithm (10am, 11am)
Oct 15 -- QR factorization example (10am, 11am)
Oct 18 -- Continuation of QR example (10am, 11am)
Oct 20 -- More about column spaces (10am, 11am)
Oct 22 -- Orthogonal projections (10am, 11am)
Oct 25 -- Least squares using QR (10am, 11am)
Oct 27 -- The normal equations (10am, 11am)
Nov 01 -- Eigenvalues and eigenvectors (10am or 11am)
Nov 03 -- Similar matrices (10am)
Nov 03 -- Independent eigenvectors (11am)
Nov 05 -- Independent eigenvectors (10am)
Nov 05 -- Similar matrices (11am)
Nov 08 -- A matrix with one eigenvalue (10am, 11am)
Nov 10 -- A 3x3 eigenvector example (10am, 11am)
Nov 15 -- Diagonalization of a matrix (10am, 11am)
Nov 17 -- Computing sin(A) and exp(A) (10am, 11am)
Nov 19 -- The spectral theorem (10am, 11am)
Nov 22 -- Real eigenvalues when A = A^T (10am, 11am)
Nov 24 -- Orthogonal eigenvectors when A = A^T (10am, 11am)
Nov 29 -- Spectral theorem example (10am)
Nov 29 -- The singular values of a matrix (11am)
Dec 01 -- The singular value decomposition (10am, 11am)
Dec 03 -- Examples of the SVD (10am, 11am)
Dec 06 -- Review (10am, 11am)

Announcements

[08-Dec-2021] Solution Keys

I'm posting solution keys to the previous exams because some students haven't picked up their exams and so everyone can see what my answers were.

If you find any errors please let me know so I can correct them.

[05-Dec-2021] Sample Final

Our final exam is coming up. Attendance is mandatory to take the final unless you have made arrangements with the DRC or have other special considerations. Here is a sample exam for review:

Sample for Final Exam

[Finals Week] Final Exam

The final exams will be held in person as follows:

Section 1002, December 10 from 9:50am to 11:50am at PE 104.
Section 1006, December 15 from 7:30am to 9:30am at AB 213.

[01-Dec-2021] Written Assignment 11 Due

Please work the problems

Section 5.2 # 31
Section 5.2 # 32
Section 5.3 # 31

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

[19-Nov-2021] Written Assignment 10 Due

Please work the problems

Section 5.1 # 33
Section 5.1 # 34
Section 5.1 # 35

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

[12-Nov-2021] In Class Exam 2

We will have our second in-class exam on November 12. Attendance is mandatory to take the test unless you have made arrangements with the DRC or have other special considerations. Here is a sample exam for review:

Sample for Exam 2

I've sent a message to the UNR Mathematics center. Hopefully they will schedule a group review sometime before the exam.

[10-Nov-2021] Written Assignment 9 Due

Please work the problems

Section 6.5 # 27
Section 6.5 # 28
Section 6.5 # 29

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

[29-Oct-2021] Written Assignment 8 Due

The deadline for this assignment has been extended to Friday. Please work the problems

Section 6.1 # 35
Section 6.4 # 23
Section 6.4 # 24

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

[22-Oct-2021] Written Assignment 7 Due

Due to computer problems, the deadline for this assignment has been extended to Friday. Please work the problems

Section 3.3 # 18
Section 2.5 # 12
Section 2.5 # 24

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

[13-Oct-2021] Written Assignment 6 Due

Please work the problems

Section 3.2 # 37
Section 3.2 # 41
Section 3.2 # 49

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

[06-Oct-2021] Written Assignment 5 Due

Please work the problems

Section 2.9 # 28
Section 2.9 # 32
Section 3.1 # 32

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

[29-Sep-2021] Written Assignment 4 Due

Please work the problems

Section 1.7 # 34
Section 2.8 # 43

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

[24-Sep-2021] In Class Exam 1

We will have our first in-class exam on September 24. Attendance is mandatory to take the test unless you have made arrangements with the DRC or have other special considerations. Here is a sample exam for review:

Sample for Exam 1

I've sent a message to the UNR Mathematics center. Hopefully they will schedule a group review sometime before the exam.

[22-Sep-2021] Written Assignment 3 Due

Please work the problems

Section 2.3 # 28
Section 2.3 # 36
Section 2.5 # 21

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

[15-Sep-2021] Written Assignment 2 Due

Please work the problems

Section 2.1 # 28
Section 2.2 # 23
Section 2.2 # 31

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

[08-Sep-2021] Written Assignment 1 Due

Please work the problems

Section 1.2 # 36
Section 1.4 # 41
Section 1.5 # 49

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

[27-Aug-2021] Class Grader

Since we now have a grader for the class I've finalized the course grading system to include a category for written assignments that will be hand graded. Please see the Grading section below for the exact point breakdown. Starting Wednesday, September 8 and proceding in a weekly fashion there will be an assignment consisting of about three problems scanned in PDF format and uploaded to WebCampus due by the end of the day.

[23-Aug-2021] Online Textbook

To register for the MyLab Math Online portion of this course please consult this information. As refunds from Pearson will not be available if you subsequently drop the course, please select temporary access for now.

[23-Aug-2021] Welcome to Fall 2021

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:

Section 1002, December 10 from 9:50am to 11:50am at PE 104.
Section 1006, December 15 from 7:30am to 9:30am at AB 213.

Last Updated: Tue Nov 23 08:44:46 AM UTC 2021