Mathematics 330 Homepage

Fall 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       11:00-11:50AM MWF AB635
                                               due to COVID the first
                                               week is on Zoom

Course Information

Instructor:: Eric Olson
email:: Please contact me through WebCampus
Office:: DMS 238 and through Zoom (preferred) 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:: Vanessa Vidas (contact 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

Lecture 1: Overview of the Course
Lecture 2: Systems of Linear Equations
Lecture 3: Matrix Multiplication
Lecture 4: The Augmented Matrix
Lecture 5: Matrices for Row Operations
Lecture 6: Reduced Echelon Form
Lecture 7: Dot Products
Lecture 8: Many Solutions
Lecture 9: Linear Independence
Lecture 10: Sheared Sheep
Lecture 11: Rotations
Lecture 12: Block Matrices
Lecture 13: Powers of a Matrix
Lecture 14: Transpose of a Matrix
Lecture 15: Finding the Inverse
Lecture 16: Invertible Matrix Theorem
Lecture 17: Using A=LU to solve Ax=b
Lecture 18: More LU examples
Lecture 19: Subspaces
Lecture 20: More Examples
Lecture 21: Definition of Determinant
Lecture 22: Computing the Determinant
Lecture 23: Properties of Determinant
Lecture 24: det(AB)=det(A)det(B)
Lecture 25: Cramer's Rule
Lecture 26: The Law of Cosines
Lecture 27: Orthogonal Complement
Lecture 28: Gram-Schmidt Algorithm
Lecture 29: Gram-Schmidt Example
Lecture 30: QR Factorization Example
Lecture 31: The Normal Equations
Lecture 32: Least Squares with QR
Lecture 33: Eigenvalues and Eigenvectors
Lecture 34: Finding Eigenvalues
Lecture 35: Eigenvectors
Lecture 36: Diagonalization
Lecture 37: Spectral Theorem
Lecture 38: More Spectral Theorem
Lecture 39: Singular Value Decomposition

Announcements

[21-Dec-2022] Final Exam

The final exam will be Wednesday, December 21, 2022 in the morning from 7:30-9:30am in AB635. Here are two sample final exams for review.

A review session has been scheduled at the UNR Mathematics Center on December 17 from 5 to 7pm to discuss these sample exams and any other questions you may have.

[7-Dec-2022] Written Assignment 9 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.

[2-Dec-2022] Exam 2

The second in-class exam will be December 2 and cover Sections 2.8 and 2.9, all of Chapter 3 and Sections 6.1 through 6.5 as well as material from the first exam. Here are two sample exams for review.

A review session has been scheduled at the UNR Mathematics Center on December 1 from 1:00 to 2:30pm to discuss these sample exams and any other questions you may have.

[30-Nov-2022] Written Assignment 8 Due

Please work the problems

Section 6.4 # 27
Section 6.5 # 27ab

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

[23-Nov-2022] Written Assignment 7 Due

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.

[11-Nov-2022] 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.

[26-Oct-2022] Written Assignment 5 Due

Please work the problems

Section 1.7 # 34
Section 2.8 # 43
Section 2.9 # 28

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

[14-Oct-2022] Exam 1

The first in-class exam will be October 14 and cover up to and including Section 2.5. Here are two sample exams to help you review for the exam.

A review session has been scheduled at the UNR Mathematics Center on October 13 from 1:00 to 2:30pm to discuss these sample exams and any other questions you may have.

[13-Oct-2022] Review Session

There is a review session at the UNR Mathematics Center from 1:00 to 2:30pm for Exam 1.

[14-Oct-2022] Written Assignment 4 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.

[07-Oct-2022] Written Assignment 3 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.

[30-Sep-2022] Written Assignment 2 Due

Please work the problems

Section 1.4 # 41
Section 1.4 # 42
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.

[23-Sep-2022] Written Assignment 1 Due

Please work the problems

Section 1.2 # 35
Section 1.2 # 37
Section 1.2 # 38

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

[28-Aug-2022] Welcome Fall 2022

I am looking forward to seeing you in-person starting the second week of class. We will meet over Zoom the first week The reason for this is because I tested positive for COVID on last Friday. Please check the WebAssign page for this course for the link. 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 (like I am) 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 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 at the time listed in the standard schedule of final exams for this section. Namely, the final exam is Wednesday, December 21, 2022 in the morning from 7:30-9:30am in AB635.

Last Updated: Sun Aug 28 10:48:49 AM PDT 2022