Cara Brooks's Profile

Brooks, Cara (Ph.D.)

Associate Professor, Applied Mathematics

Department of Mathematics

239-590-7073

cbrooks@fgcu.edu

WH 0206

Education
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- Ph.D. in Mathematics, Michigan State University
Specialties
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Research and Teaching Interests
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- Research: Inverse and Ill-posed problems, Numerical Analysis, Linear Algebra, Matrix Analysis and Pseudospectra.
  Teaching: Calculus, Differential Equations, Linear Algebra, Real Analysis, Numerical Analysis, Matrix Analysis.
Courses Offered
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- MAC 2233 Elementary Calculus
- MAC 2311, 2312 & 2313 Calculus I, II, & III
- MAP 2302 Differential Equations
- MAS 3105 Linear Algebra
- MAS 4106 Matrix Analysis
- MAA 4226 & 4227 Analysis I & II
- MAD 4401 Numerical Analysis
- MAA 5228 Modern Analysis I
- MAT 5932 ST: An Introduction to Numerical Analysis and Scientific Computing
- IDS 2930 ST: Women in STEM
Publications
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- C. D. Brooks, A. A. Condori, and N. Seguin. Polynomially isometric matrices in low dimensions. Amer. Math. Monthly, 128 (2021) no. 6, 513-524.
- C. D. Brooks and P. K. Lamm. An improved first-order local regularization method for ill-posed Volterra equations. J. Math. Anal. App. 477 (2019) no.1, 437-462.
- C. D. Brooks and A. A. Condori. A resolvent criterion for normality. Amer. Math. Monthly, 125 (2018) no. 2, 149-156.
- C. D. Brooks and P. K. Lamm. A discrepancy principle for generalized local regularization of linear inverse problems. J. Inv. Ill-Posed Problems, 22 (2014) no. 1, 95-119.
- C. D. Brooks and P. K. Lamm. A generalized approach to local regularization of Volterra problems in L^p spaces. Inverse Problems, 27 (2011) 055010.
- C. D. Brooks, P. K. Lamm, and X. Luo. Local regularization of nonlinear Volterra equations of Hammerstein type. J. Integral Equ. Appl., 22 (2010) no. 3, 393-425.

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Brooks, Cara (Ph.D.)

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