2021 Spring Course Syllabus - Mathematics 3051.002
Course: Mathematics 3051.002.
Course Title: Theoretical Linear Algebra.
How this course will be taught: Virtual with regular scheduled meetings.
Time: MWF 9:20-10:30.
Place: Virtual.
Instructor: Yury Grabovsky.
Instructor Office: Virtual.
Instructor Email: yury.grabovsky@temple.edu
Instructor Phone: na.
Office Hours: T,Th 10:00 - 11:00, W 11:00-12:00, or by appointment.
Prerequisites: Math 2111 (Basic Concepts) with a grade of C or higher AND at least one of Math 3045 or Math 2101 (0147), both with a grade of C- or higher.
Textbook: Sheldon Axler: Linear Algebra Done Right, 3rd edition, Springer, 2015.
Technology specifications for this course: A working computer with a reliable internet connection, a Webcam, and audio capability. Recommended Internet Speed: 8mbps download & 5mbps upload. You can test your connection at https://www.speedtest.net. Please note: Hard-wired connections are more consistent than Wi-Fi for Zoom sessions. A scanning app such as AdobeScan or CamScanner is required as is access to Zoom and Canvas (the Canvas app is also recommended).
Limited resources are available for students who do not have the technology they need for class. Students with educational technology needs, including no computer or camera or insufficient Wifi-access, should submit a request outlining their needs using the Student Emergency Aid Fund form. The University will endeavor to meet needs, such as with a long-term loan of a laptop or Mifi device, a refurbished computer, or subsidized internet access.
Course Goals: We will cover the basic theoretical aspects of Linear Algebra. This course is the ideal entry into the realm of modern abstract algebra and related areas. It is also essential in virtually all application areas of science, technology, and engineering.
Topics Covered: This is a course in Linear Algebra with a higher degree of abstraction than a traditional undergraduate Linear Algebra course. Topics include vector spaces, linear transformations, Duality, Quotient spaces and transformations, eigenvalues and eigenvectors, inner product spaces, spectral theorem, polar and singular value decompositions. The course culminates with the discussion of characteristic and minimal polynomials, Cayley-Hamilton theorem and Jordan canonical form theorem.
Course Grading: Midterm: 20%, Final Exam: 30%, Homework: 50%.
Exam Dates: Take-home Midterm: Released Friday 03/05 at 11:59pm, Due Sunday 03/07 at 11:59pm; Take home Final Exam: Released Monday 04/26, 11AM, Due Sunday 05/02 at 11:59pm.
Remote proctoring statement: Zoom, Proctorio or a similar proctoring tool may be used to proctor exams and quizzes in this course. These tools verify your identity and record online actions and surroundings. It is your responsibility to have the necessary government or school issued ID, a laptop or desktop computer with a reliable internet connection, the Google Chrome and Proctorio extension, a webcam/built-in camera and microphone, and system requirements for using Proctorio, Zoom, or a similar proctoring tool. Before the exam begins, the proctor may require a scan of the room in which you are taking the exam.
Attendance Policy: Attendance is required.
The University's attendance policy (opens in new tab/window) has been standardized to accommodate students who are ill or are required to self-quarantine for a period of time due to the COVID-19 pandemic.
To achieve course learning goals, students must attend in-person classes, and/or participate in classes or portions of classes that are taught remotely, to the extent that they are able. Though increased flexibility will be granted, in all cases, course assessments such as assignments, tests and exams must be completed for learning goals to be reached.
In order to facilitate contact tracing, instructors are required to ensure that attendance is recorded for each in-person meeting using an online attendance system designated by the university. Students who are exhibiting symptoms such as cough, fever, shortness of breath, muscle or body aches, headache, chills, sore throat, congestion, or new loss of taste or smell, or who have been in close contact with others who have symptoms, or who are engaging in self-quarantine at the direction of the Philadelphia Health Department, Student Health Services, or any healthcare professional, should not attend in-person classes. Students will not be required to provide formal documentation from a healthcare provider for COVID-related absences. For more information, see the Student Health Services COVID-19 site (opens in new tab/window).
It is also important to foster a respectful and productive learning environment that includes all students in our diverse community of learners. Treat your classmates and instructor with respect in all communication, class activities, and meetings. All opinions and experiences, no matter how different or controversial they may be perceived, must be respected in the tolerant spirit of academic discourse. You are encouraged to comment, question, or critique an idea but you are not to attack an individual. Our differences, some of which are outlined in the University's nondiscrimination statement (opens in a new tab/window), will add richness to this learning experience.
Please consider that sarcasm, humor and slang can be misconstrued in online interactions and generate unintended disruptions. Profanity should be avoided as should the use of all capital letters when composing responses in discussion threads, which can be construed as "shouting" online. Remember to be careful with your own and others' privacy. In general, have your behavior mirror how you would like to be treated by others.
Online Classroom Etiquette: It is expected that each student attends every class on time for the full duration of each class and behaves, in the same professional manner, as if you are in a regular classroom. This refers in particular to your location and attire. It is not appropriate to eat a large meal, drink alcohol, smoke, or get up often during an online class.
Statement on recording and distribution of recordings of class sessions: Any recordings permitted in this class can only be used for the student's personal educational use. Students are not permitted to copy, publish, or redistribute audio or video recordings of any portion of the class session to individuals who are not students in the course or academic program without the express permission of the faculty member and of any students who are recorded. Distribution without permission may be a violation of educational privacy law known as FERPA as well as certain copyright laws. Any recordings made by the instructor or university of this course are the property of Temple University.
Make Up Policy: There will be NO MAKE UP exams except in the case of a DOCUMENTED EMERGENCY, like an illness or an accident. The documents confirming the emergency (from a hospital or police) must be provided. If you miss an exam due date, you must contact me by email right away. All make ups must be taken within two days of the exam due date.
Letter Grades: A 90--100; A- 85--89; B+ 80--84; B 70--79; B- 65--69; C+ 60--64; C 50--59; C- 45--49; D+ 40--44 D 30--39; D- 25--29; F 0--24.
Homework: Homework from the textbook will be assigned for each week. Due 11:59pm on Thursdays together with revisions of the previous HW.
Canvas: Important announcements and list of homework problems are posted on Canvas. Students should consult Canvas often and check their Temple email daily.
Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in 100 Ritter Annex (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here (opens in new tab/window).
Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar (opens in new tab/window) for exact dates.
During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (opens in new tab/window) for exact dates. See the full policy by clicking here (opens in new tab/window).
The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here (opens in new tab/window).