MAT 310: Linear Algebra

Stony Brook University - Spring 2018

About the course

This is a mathematically rigorous course with complete proofs. Topics covered will include vector spaces, linear maps, dual spaces, linear transformations, eigenvalues, inner product spaces, the charateristic and minimal polynomial of a linear operator, various classes of linear operators and their normal forms.



Linear Algebra Done Right ( 3nd edition) by Sheldon Axler, Springer, (c) 2015


Oleg Viro
Professor, Ph.D. 1974, Doctor Phys-Mat.Sci. 1983,
both from Leningrad State University.
Arrived at Stony Brook in 2007.

Office: Math Tower 5-110
Phone: (631) 632-8286
Email: oleg.viro AT
Web page:

Research fields: Topology and Geometry,
especially low-dimensional topology
and real algebraic geometry.

Lectures time and location

Tuesdays and Thursdays 2:30pm - 3:50pm in Library E4310,

Slides of lectures

Here are pdf files with slides for some of the lectures. These files are designed for viewing on a computer screen. Don't print them, because each contains more than one hundred pages, most of which differ from the next page by a single line.


Homeworks are assigned once a week. Problems should be handed in your recitation section.
  1. Page 11, Problems 1, 10, 11; Page 17, Problems 1, 2 Due the week of January 29.
  2. Page 24, Problems 1ac, 5, 6, 7, 8, 12, 19, 20, 23, 24 Due the week of February 5.
  3. Page 37, Problems 1, 5, 6; Page 43 Problems 3, 8; Page 49 Problem 13; Page 58 Problems 8, 9. Due the week of February 19.
  4. homework 4
  5. homework 5
  6. homework 6

Office hours

Tuesdays 4:10pm - 6:00pm in Math Tower 5-110 or by appointment.

Teaching Assistant

Benjamin Sokolowsky, PhD Student
Arrived at Stony Brook in 2013
Office: Math Tower 5-125B
Email: bsokolowsky AT
Recitation groups: Office Hours: M 12:00pm-1:00pm
Math Learning Center Hours:
(in Math Tower Room S-235)

Grading policy

The final grade will be based on


There will be two in-class midterms.
The first midterm: February 15, 2:30pm-3:50pm.
The date of the second midterms will be announced later.

Final Exam: Monday, May 14, 11:15am-1:45pm.


If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services or call (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the Evacuation Guide for People with Physical Disabilities.

Academic Integrity

Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website.

Critical Incident Management

Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn.