Raluca Felea Headshot

Raluca Felea

Professor

School of Mathematics and Statistics
College of Science
rxfsma@rit.edu
5854752524
Office Hours
M, W, 12-1 pm or by appointment
Office Location
GOS-2274

Raluca Felea

Professor

School of Mathematics and Statistics
College of Science

Education

BS, University of Iasi (Romania); Ph.D., University of Rochester

Bio

Summer Math Workshop https://www.rit.edu/science/sms/summer-math

rxfsma@rit.edu
5854752524
Areas of Expertise
Microlocal Analysis
FIOs with Singularities
Inverse Problems in SAR and Seismology
Mathematical Modeling

Select Scholarship

R.Felea, FIOs with cusp singularities and open umbrellas, Journal of Pseudo-Differential Operators and Applications volume 12, no 38 (2021).

R.Felea, R. Gaburro, A. Greenleaf, C. Nolan, Microlocal analysis of Doppler SAR,  Inverse Problems and Imaging, vol 13, no 6, 2019, 1283-1307.

G.Ambartsoumian, R.  Felea, V. Krishnan, T. Quinto, C. Nolan  A class of singular FIOs in SAR imaging II: transmitter and receiver with different speeds,  SIAM J of Math Analysis, Vol 50, no 1, 2018,  591-621.

Currently Teaching

MATH-241
Linear Algebra
3 Credits
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.
MATH-326
Boundary Value Problems
3 Credits
This course provides an introduction to boundary value problems. Topics include Fourier series, separation of variables, Laplace's equation, the heat equation, and the wave equation in Cartesian and polar coordinate systems.
MATH-381
Complex Variables
3 Credits
This course covers the algebra of complex numbers, analytic functions, Cauchy-Riemann equations, complex integration, Cauchy's integral theorem and integral formulas, Taylor and Laurent series, residues, and the calculation of real-valued integrals by complex-variable methods.
MATH-431
Real Variables I
3 Credits
This course is an investigation and extension of the theoretical aspects of elementary calculus. Topics include mathematical induction, real numbers, sequences, functions, limits, and continuity. The workshop will focus on helping students develop skill in writing proofs.
MATH-741
Partial Differential Equations I
3 Credits
This course uses methods of applied mathematics in the solution of problems in physics and engineering. Models such as heat flow and vibrating strings will be formulated from physical principles. Characteristics methods, maximum principles, Green's functions, D'Alembert formulas, weak solutions and distributions will be studied.
MATH-799
MATH GRADUATE Independent Study
1 - 3 Credits
Independent Study

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