Welcome to the public homepage of Math F617 Functional Analysis, Spring 2024, in the Dept. of Mathematics and Statistics at the University of Alaska Fairbanks.

If you plan to be present on campus in Fairbanks during the semester, please sign up for the in-person “901” section (crn 35367), and plan to attend lecture in Chapman 107. If you are remote, signing up for the web-based “701” section (crn 35378) is just fine!

Instructor: Ed Bueler

Email me at elbueler@alaska.edu. I hold office hours in Chapman 306C.

Canvas course page

Log in to canvas.alaska.edu/courses/18441 for the lecture Zoom link, Homework and Exam solutions, and to see your grades.

Getting Started

• Attend lectures: MWF 2:15-3:15pm in Chapman 107, or online.

• Read the Syllabus (PDF).

• The Schedule (PDF) is my longer-term plan. Check it for exam dates and due dates, and for which topics come next!

• The daily log has the recent happenings, including handouts and worksheets as PDFs.

• Check out the nearly-weekly homework Assignments.

• There are three Exams, two Midterm Quizzes and a Final. All are in class, and the Final will happen at the scheduled time. See the Exams tab for review guides.

       

• What are we studying? Check out these Wikipedia pages for the topics we plan to touch:

  • functional analysis
  • Banach spaces
  • Hilbert spaces
  • Sobolev spaces
  • bounded operators
  • self-adjoint operators
  • unbounded operators
  • Laplacian operators
  • spectral theorem
  • axioms of quantum mechanics (and here)
  • quantum Hamiltonian operators
  • finite element method
• Videos which might help with “getting started”:
  • abstract vector spaces
  • compactness
  • Lebesgue integral
  • the complex derivative
• The course advertisement

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Site design derived from coordinated Calc I, an original Jekyll design by David Maxwell.