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.
- C or higher in MAT 211 or 308 or AMS 210;
- C or higher in MAT 200
- or a permission of instructor.
Linear Algebra Done Right ( 3nd edition) by Sheldon Axler, Springer, (c) 2015
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 stonybrook.edu
Web page: www.math.stonybrook.edu/~oleg
Research fields: Topology and Geometry,
especially low-dimensional topology
and real algebraic geometry.
Tuesdays and Thursdays 2:30pm - 3:50pm in Library E4310,
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.
- Lecture 5 Spans, linear
independence and bases.
- Lecture 6 Dimension, linear maps,
null space and range.
- Lecture 7 Vector spaces of linear maps, isomorphisms, linear maps from $\mathbb F^n$.
- Lecture 8 Midterm 1,
coordinate systems, matrices, right-left classification of linear maps.
Homeworks are assigned once a week. Problems should be handed in
your recitation section.
- Page 11, Problems 1, 10, 11; Page 17, Problems 1, 2 Due the week of January 29.
- Page 24, Problems 1ac, 5, 6, 7, 8, 12, 19, 20, 23, 24 Due the week of February 5.
- 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.
Tuesdays 4:10pm - 6:00pm in Math Tower 5-110 or by appointment.
Benjamin Sokolowsky, PhD Student
Arrived at Stony Brook in 2013
Office: Math Tower 5-125B
Email: bsokolowsky AT math.stonybrook.edu
- MAT 310.R01 - M 9:00am - 9:53am
- MAT 310.R02 - Tu 8:30am - 9:23am
Office Hours: M 12:00pm-1:00pm
Math Learning Center Hours:
(in Math Tower Room S-235)
- M 10:00am-11:00am
- M 11:00am-12:00pm
The final grade will be based on
- Homeworks 10%,
- Quizes 10%,
- Midterm 1 15%,
- Midterm 2 20%,
- Final exam 45%.
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
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.
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
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.