Recitation 1: |
Tue 5-5:55pm in Physics P116 |
Recitation 2: |
Mon 11-11:55am in Light Engineering 154 |
Recitation 3: |
Tue 9:30-10:25am in Physics P116 |
Instructor 1 (weeks 1-3) | Filip Zivanovic | TA 1 (Recitation 1) | Ceyhun Elmacioglu |
filip.zivanovic (at) stonybrook (dot) edu | ceyhun.elmacioglu (at) stonybrook (dot) edu | ||
Office hours | See here | Office hours | See here |
Instructor 2 (weeks 4-∞) | Joseph Helfer | TA 2 (Recitations 2 and 3) | Maximilian Hofmann |
joseph.helfer (at) stonybrook (dot) edu | maximilian.hofmann (at) stonybrook (dot) edu | ||
Office hours | See here | Office hours | See here |
If you have any questions about the class, please look in the syllabus. There is a good chance your question will be answered there. If it isn’t, please feel free to email the instructor or TA.
All announcements will be posted on Brightspace.
Finite dimensional vector spaces, linear maps, dual spaces, bilinear functions, inner products. Additional topics such as canonical forms, multilinear algebra, numerical linear algebra.
Credits: 4
Prerequisites: C or higher in MAT 211 or 305 or 308 or AMS 210; C or higher in MAT 200 or MAT 250 or permission of instructor
Sheldon Axler, Linear Algebra Done Right, Fourth edition
Available for free on the author’s website
Most information and material related to the course will be posted on this page.
The exceptions are:
The final percentage grade will be computed as follows.
Homework | Midterm 1 | Midterm 2 | Final | LaTeX bonus |
30% | 20% | 20% | 30% | +1-2% |
The percentage ranges for letter grades are as follows:
A | 94-100% |
A- | 90-93% |
B+ | 87-89% |
B | 83-86% |
B- | 80-82% |
C+ | 77-79% |
C | 73-76% |
C- | 70-72% |
D+ | 67-69% |
D | 63-66% |
D- | 60-62% |
F | <60% |
The final assignment of the letter grades may differ from the above ranges, but only by increasing the letter grades. That is, if your percentage grade falls in one of the above ranges, your letter grade will be at worst the one indicated above.
A grade of “Incomplete” can only be assigned in cases where the instructor is informed of a valid reason for missed work.
Homework assignments will be assigned on a weekly basis.
Homework is to be submitted on Gradescope (you should see the course there if you are enrolled; if you have any problems, please inform the instructor or TA). When you submit on Gradescope, please don’t forget to match your scanned pages with the problems. If you do forget, the grader may not see your submission for the problem, and it may not be graded.
You may work with other students on the homework, but you must hand in your own write-ups. Stony Brook policy prohibits you from directly copying online sources.
Homework must be submitted by the posted due dates. If you expect to have issues submitting the homework on time, or if you are having difficulties with gradescope, please write to the instructor or TA as soon as possible, and attach a scanned copy of your submission (this is a wise practice for any class).
Each week, a collection of problems will be selected by the instructors to be graded from the homework. It is in your best interest to complete all assigned problems since you will not know which problems will be graded in advance. Your work will be graded on having well-structured and clear arguments and computations, in addition to finding the correct answer.
Your lowest three scores from the homeworks will be dropped.
LaTeX is an open source software system for preparing documents that is particularly well-suited for writing and formatting mathematical formulas. It is very popular among mathematicians and scientists, and is the standard tool in mathematics for writing research papers.
You are encouraged though not required to type up your homework using LaTeX ; if you do not already use it, learning it now will serve you well in the long term! To encourage you to use it, you can earn up to 2% bonus points if you typeset two homework assignments in LaTeX (or up to 1% if you do one).
An easy way to get started with LaTeX is to use the website Overleaf.com. Here is their guide for getting started with LaTeX : https://www.overleaf.com/learn. The instructor will also be happy to give you a LaTeX tutorial during office hours.
All three exams are closed book, closed notes exams, with no calculators or other electronic aids permitted. The final exam will cover all topics from the semester, but will have greater emphasis on topics developed after the midterms.
Make-up examinations are given only for work missed due to unforeseen circumstances beyond the student's control.
It will not be possible to earn any extra credit outside of the grading scheme given above. Therefore, if you are concerned about your performance in the class, alert the instructor or TA as early as possible so that they help you in whatever way they can to help you succeed.
If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, (631) 632-6748, or at sasc@stonybrook.edu. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.
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 is required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Professions, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their school-specific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty please refer to the academic judiciary website at http://www.stonybrook.edu/commcms/academic_integrity/index.html .
Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Student Conduct and Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.
The instructor reserves the right to modify the standards and requirements in this syllabus.
Notice of such changes will be by announcement in class, and changes to this syllabus will be posted on the course website.
This syllabus was last revised on July 7, 2025.
Note: this lecture plan is tentative and will be continuously updated to adapt to the pace of the course.
The listed homework problems are references to the problems in the exercise sections from the course textbook (Linear Algebra Done Right, Fourth edition).
Week | Date | Topic | Read | HW | Due |
---|---|---|---|---|---|
1 | Mon, Aug 25 | Vector spaces | 1A, 1B (notes) | 1A: 4,9 1B: 3,7 1C: 1,12 |
Wed, Sep 3 |
Wed, Aug 27 | Subspaces | 1C (notes) | |||
2 | Mon, Sep 1 | Labor day - no class | |||
Wed, Sep 3 | Span and linear independence | 2A | |||
3 | Mon, Sep 8 | Bases and dimension Note: Add/drop deadline |
2B, 2C | ||
Wed, Sep 10 | Linear maps | 3A | |||
4 | Mon, Sep 15 | Null space and range | 3B | ||
Wed, Sep 17 | Matrices | 3C | |||
5 | Mon, Sep 22 | Invertibility and isomorphisms | 3D | ||
Wed, Sep 24 | Products and quotients | 3E | |||
6 | Mon, Sep 29 | Duality | 3F | ||
Wed, Oct 1 | Midterm 1 (in class) | ||||
7 | Mon, Oct 6 | Polynomials | 4 | ||
Wed, Oct 8 | Invariant subspaces | 5A | |||
8 | Mon, Oct 13 | Fall break - no class | |||
Wed, Oct 15 | Minimal polynomial | 5B | |||
9 | Mon, Oct 20 | Upper-triangular matrices | 5C | ||
Wed, Oct 22 | Diagonalization Note: GPNC deadline is Fri, Oct. 24 |
5D | |||
10 | Mon, Oct 27 | Commuting operators | 5E | ||
Wed, Oct 29 | Inner products and norms | 6A | |||
11 | Mon, Nov 3 | Orthonormal bases | 6B | ||
Wed, Nov 5 | Orthogonal complements | 6C | |||
12 | Mon, Nov 10 | Orthogonal projections | 6C | ||
Wed, Nov 12 | Midterm 2 (in class) | ||||
13 | Mon, Nov 17 | Self-adjoint and normal operators | 7A | ||
Wed, Nov 19 | Spectral theorem | 7B | |||
14 | Mon, Nov 24 | Positive operators | |||
Wed, Nov 26 | Thanksgiving - no class | 7C | |||
15 | Mon, Dec 1 | Isometries | 7D | ||
Wed, Dec 3 | Generalized eigenvalues | 8A | |||
16 | Mon, Dec 8 | Generalized eigenspaces Note: Last day of classes |
8B | ||
Wed, Dec 10 | Final Exam: 11:15am–1:45pm in Javits Lecture Center 111 |