E4990 Handout

Handout for APMA E4990: Applied Functional Analysis

World Wide Web: http://www.columbia.edu/~gb2030

Instructor: Guillaume Bal

  • Office: Mudd 206
  • Office Hours: Wed 10:30 - 12:30
  • Office Phone: (212) 854 4731
  • e-mail: gb2030@columbia.edu
  • Class meeting: TuTh 11:00-12:15 in SW Mudd 664
  • Teaching Assistant: Qi Wu

  • Office: Mudd 292
  • Office Hours: Tu 3:00-5:00 pm, Mudd 287
  • e-mail: qw2107@columbia.edu

  • Course Structure:

  • Textbook:
    • John Hunter and Bruno Nachtergaele, "Applied Analysis". May be downloaded at "http://www.math.ucdavis.edu/~hunter/book/pdfbook.html"
  • Syllabus: This course will cover classical notions in applied functional analysis: description of functional spaces such as Banach spaces and Hilbert spaces; description of some properties of linear operators acting on such spaces such as the notion of compactness and the spectral decomposition of compact operators. Applications, mostly to the solution of partial differential equations, will be considered.
  • Grading:

  • There will be several homeworks, roughly every other week, during the course of the semester. This homeworks will count for 30% of the final grade.
  • There will be a midterm and a final exam that will count for 30% and 40% of the final grade, respectively.

  • Guillaume Bal