Math 5250: Graduate Linear Algebra

Syllabus

Math 5250 - Graduate Linear Algebra
Fall Semester, 2026
University of Connecticut

Overview

Math 5250 is a graduate course covering abstract linear algebra in depth. Topics include abstract vector spaces and linear transformations, eigenvalues and eigenvectors, inner product spaces, matrix decompositions, normed spaces, duality, bilinear forms, and multilinear algebra.

Instructor

Jeremy Teitelbaum
231 Monteith Hall
Email: jeremy.teitelbaum@uconn.edu
Math Department Home Page
Personal Home Page

References

  • Lax, Peter D. Linear Algebra and Its Applications. 2nd ed. Wiley-Interscience, 2007.
  • Hoffman, Kenneth, and Ray Kunze. Linear Algebra. 2nd ed. Prentice-Hall, 1971.
  • Horn, Roger A., and Charles R. Johnson. Matrix Analysis. 2nd ed. Cambridge University Press, 2013.
  • Roman, Steven. Advanced Linear Algebra. 3rd ed. Graduate Texts in Mathematics, vol. 135. Springer, 2008.
  • Axler, Sheldon. Linear Algebra Done Right. 4th ed. Undergraduate Texts in Mathematics. Springer, 2023.
  • Halmos, Paul R. Finite-Dimensional Vector Spaces. 2nd ed. Springer, 1974.
  • Bhatia, Rajendra. Matrix Analysis. Graduate Texts in Mathematics, vol. 169. Springer, 1997.

Lecture notes will be developed and posted here throughout the semester.

Time and Place

Tuesday, September 1 - Thursday, December 10, 2026. Final exam the week of December 14, 2026.
Tuesdays and Thursdays, 3:30 pm - 4:45 pm
Monteith 227

Assessments

To be announced.

Disclaimer

The instructor reserves the right to modify or adapt this syllabus, with reasonable notice, to account for disruptions due to weather or other unexpected circumstances.

University Policies

Students with disabilities should work with the Center for Students with Disabilities to request academic accommodations. The CSD is located in Wilbur Cross, Room 204 and can be reached at (860) 486-2020 or at csd@uconn.edu. Detailed information regarding the process to request accommodations is available on the CSD website at www.csd.uconn.edu.

Students are bound by the university’s policies on academic misconduct. Academic misconduct is dishonest or unethical academic behavior that includes, but is not limited to, misrepresenting mastery in an academic area (e.g., cheating), failing to properly credit information, research, or ideas to their rightful originators or representing such information, research, or ideas as your own (e.g., plagiarism).

Students, faculty, and staff are bound by the university’s policy against discrimination, harassment, and related interpersonal violence.

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