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The Math (B.A.) Program

The Math (B.A.) Program

Cara Brooks

Assistant Professor and Program Leader MS in Mathematics
Phone: (239) 590-7073
E-Mail: cbrooks@fgcu.edu
Office: WH 206

Education

  • Ph.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
    • Magna Cum Laude, Presidential Scholar.

Teaching

Areas of interest include Real Analysis, Numerical Analysis, Matrix Analysis, Linear Algebra, Calculus and Differential Equations.

Current Courses

  • MAS 3105 Linear Algebra, Fall and Spring
  • MAC 2311 Calculus I, Fall
  • MAA 4227 Analysis II, Spring
  • IDS 2930 ST: Women in STEM, Fall and Spring

Previous Courses

  • 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

Research

My mathematical research interests are in the areas of Linear Algebra, Matrix Analysis and Pseudospectra, Inverse and Ill-posed problems, and Numerical Analysis. My other scholarly interests include the Scholarship of Teaching and Learning in Calculus and the impacts of Living Learning Communities.

Publications

  • C. D. Brooks and A. A. Condori. “A resolvent criterion for normality,” American Mathematical Monthly, to appear.
  • C. D. Brooks and P. K. Lamm. (2014) "A discrepancy principle for generalized local regularization of linear inverse problems," Journal of Inverse and Ill-posed problems, 22 no. 1, 95-119.
  • C. D. Brooks and P. K. Lamm. (2011) "A generalized approach to local regularization of Volterra problems in L^p spaces," Inverse Problems 27 055010.
  • C. D. Brooks, P. K. Lamm and X. Luo. (2010) "Local regularization of nonlinear Volterra equations of Hammerstein type," Journal of Integral Equations and Applications, 22 no. 3, 393-425.

http://faculty.fgcu.edu/cbrooks