Professor Feingold

Contact Information

Meeting times: MWF 10:50 - 11:50 AM online using Zoom.

Prof. Feingold's Office: WH-115, Office Phone: 777-2465. Send me an email to get my cell phone number. Office Hours: Online by appointment using Zoom. To schedule an appointment, please send me an email at least 2 hours ahead of time.

Textbook and Course Contents

Schaum's Outline of Linear Algebra, 6th Edition, by Seymour Lipschutz and Marc Lipson, ISBN-13: 978-0071794565, Publisher: McGraw-Hill Education; 6th edition (December 11, 2012)

We will cover as much of the textbook as time allows.


If in-person classes are held, there will be 2 hourly exams and 1 Final Exam. The hourlies will be worth 100 points each, and the take-home Final Exam will be worth 200 points. The contents of each exam will be determined one week before the exam. The Final Exam will be comprehensive, covering the whole course. If classes are taught online, exams will be given online and may be divided into smaller parts with shorter times for completion. Online exams would be submitted, graded and returned as electronic files. In that case, notes and the textbook will be available during the exam to all students, but no outside help will be allowed. Any student found to have used outside sources of help for graded exams will be subject to the strictest rules of the honesty policy of Binghamton University. ANYONE UNABLE TO TAKE AN EXAM SHOULD CONTACT THE PROFESSOR AHEAD OF TIME TO EXPLAIN THE REASON. A MESSAGE CAN BE LEFT AT THE PROFESSOR'S OFFICE VOICEMAIL (777-2465). PLEASE DON'T MISS THE FINAL!

A schedule of the hourly exams will be posted below. The Final exam is determined by the registrar.

Exam 1:

Exam 2:

Final Exam:

Information About Exams Will Be Posted Here

To help you prepare for Exams 1 and 2, I may show you my old linear algebra exams which cover material very close to what we have done. To take these as practice exams, only look at the questions. After you have tried the test, you can look at the solutions which are presented at the end.

As practice for Exam 1, I am posting the following old exams: Practice Exam 1 for Math 507. Another Practice Exam for Math 507.

To help prepare for Exam 2, I am posting the following practice exam: Practice Exam 2 for Math 507 Fall 2019.


When I give an exam, I make a graph of the numerical grades, and based on the average and the distribution, I decide what range of scores corresponds to each letter grade. This allows me to give each student a letter grade as well as a number grade, and the Total of all points earned will also be given a letter grade. The letter grades on the exams indicate how a student is doing, and will be taken into consideration in making the curve for the Totals. The course grade will be determined by the curve of Total points earned as well as by the quality of presentations given and of homeworks completed.

Homework Policy

For each section of material covered there will be an assignment of problems from the textbook. They will be due one week from the day they are assigned (or the next scheduled class meeting after that if there is a holiday). Late assignments will be accepted at the discretion of the Professor. Assignments will be examined by the professor, and returned with comments. QUESTIONS ABOUT PROBLEMS SHOULD BE ASKED OF THE PROFESSOR AT THE BEGINNING OF CLASS OR IN OFFICE HOURS. Although homeworks will not be precisely graded, the number of homeworks attempted and the quality of the attempts will be considered as a factor in determining your course grade. Collaboration among students on homeworks is reasonable and encouraged, but the solutions turned in should be written in your own words. As in professional collaborations, if the key ideas of a proof were worked out by more than one person, then the paper turned in should state clearly that the results were obtained in collaboration, and those involved should be named to give credit.

Homework Problems

  • Chapter 1: 5, 6
  • Chapter 2: 15, 16, 18, 19, 20, 25, 28, 32
  • Chapter 3: 12, 24, 26, 29, 30, 32
  • Chapter 4: 4 - 7, 9 - 12, 14, 19, 21, 25, 26, 29 - 31, 33 - 35, 40, 53 - 56, 58, 59, 62 - 64.
  • Chapter 5: 6, 7, 10, 13, 15 - 18, 23, 28, 30, 31, 34, 36, 37.
  • Chapter 6: 1, 2, 4, 6 - 8, 10 - 12, 29 - 31, 33, 36.
  • Chapter 7: 3, 5, 6, 8, 9, 11, 13 - 19, 21, 22, 25, 27 - 29, 33 - 36, 39, 42, 43, 49 - 51.
  • Chapter 8: 2 - 4, 6, 13, 16, 17, 22 - 34.
  • Chapter 9: 1 - 7, 9, 11, 12, 14 - 17, 24, 25, 27, 28, 31.
  • Chapter 10: 3, 5 - 20 (16 is difficult), 23 - 27, 29, 31, 32. There may not be enough time left in the semester to cover all this material, so only do the parts we cover.

  • Classroom Participation and General Comments

    CLASS ATTENDANCE IS ABSOLUTELY ESSENTIAL. I hope that I can stimulate your interest and participation in the classroom, so that I am not the only one talking. If you are prepared to talk about some of the material, you may take the floor and do the lecturing. There is no better way of learning material than to teach it yourself to others. This can be done individually or in teams, but it takes some planning to be ready ahead of time. I cannot force you to do this, but if you have any serious interest in an academic career, I strongly recommend this preparation. The theoretical material is rather abstract, and it is necessary to understand the theory in order to do sensible calculations and interpret them correctly. Exams will be a combination of theory questions (proofs) and calculations appropriate for a course of this level. Lectures can be interrupted at any time for questions or comments. At the start of each class be ready to ask questions about homework problems or about the previous lecture.

    If classes are presented online, attendance is still absolutely essential, but Panopto recordings of my lectures will be made and links posted on this webpage, along with pdf files of my written lecture notes. Classroom participation is still possible using Zoom, but student presentations would require a method of showing your writing and hearing your voice. Exams may also need to be supplemented by an oral interview component, in order to verify that each student did and understood their problem solutions.

    File last modified on 7-24-2020.