# MAT 310: Linear Algebra

## Stony Brook University - Spring 2018

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.

### Prerequisites

• C or higher in MAT 211 or 308 or AMS 210;
• C or higher in MAT 200
• or a permission of instructor.

### Textbook

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

### Lecturer

Oleg Viro
Professor, Ph.D. 1974, Doctor Phys-Mat.Sci. 1983,
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.

### 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.
• 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 $\mathbb F^n$.

### Homeworks

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.

### 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 math.stonybrook.edu
Recitation groups:
• 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%.

### Exams

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.

### Disabilities

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.