**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/