Brooks, Cara (PhD)
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EducationPh.D. in Mathematics, Michigan State University
M.S. in Mathematics, Michigan State University
Graduate Certificate in Business, Management, and Communication
B.S. in Mathematics and Chemistry, Eastern Michigan University
SpecialtiesInverse Problems, Local Regularization, Ill-posed Volterra Equations, Sequential Algorithms.
Research and Teaching Interests
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 OfferedMAC 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
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.