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Course number and title: EEM208B Functional Analysis for Applied Mathematics in Engineering
Credits: 4
Instructor(s)-in-charge: A. V. Balakrishnan (bal@ee.ucla.edu)
Course type: Lecture
Required or Elective: A Signals and Systems course.
Course Schedule:
Lecture: 4 hrs/week
Outside Study: 8 hrs/week
Office Hours: 2 hrs/week
 
Course Assessment:
Homework: Several assignments
 
Grading Policy: Typically, 30% homework, 30% midterm, 40% final. S/U or letter grading.
Course Prerequisites: EE208A (or Math 115A & Math 115B), Math 131A, Math 131B, Math 132.
Catalog Description: Topics may include Lp spaces, Hilbert, Banach, and separable spaces; Fourier transforms; linear functionals. Riesz representation theory, linear operators and their adjoints; self-adjoint and compact operators. Spectral theory. Differential operators such as Laplacian and eigenvalue problems. Resolvent distributions and Green's functions. Semigroups. Applications.  
Textbook and any related course material:
Lecture notes by the instructor.
 
Course Website
Topics covered in the course:
Lp spaces, Hilbert, Banach, and separable spaces.
Fourier transforms; linear functionals.
Riesz representation theory.
Linear operators and their adjoints.
Self-adjoint and compact operators.
Spectral theory.
Differential operators such as Laplacian and eigenvalue problems.
Resolvent distributions and Green's functions.
Semigroups
Will this course involve computer assignments? NO Will this course have TA(s) when it is offered? NO

:: Last modified: February 2013 by J. Lin ::

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