Associate Professor

Degree

Ph.D., College of William and Mary

Office

OSS 218

Phone

(651) 962-5537

Fax

651-962-5670

Email

Mail

OSS 201

**Professional Interests**structured eigenvectors

interlacing

matrix completions

totally nonnegative matrices

zero forcing number

Twin Cities Math Teachers' Circle

I received my PhD in Matrix Theory from the College of William and Mary. Prior to that I worked in industry for a number of years including three years for an options and futures trading firm in the Chicago Board of Trade. My research interests include matrix completion problems, eigenvalue interlacing, structured eigenvectors, totally nonnegative matrices,and zero forcing number.

I am one of the co-organizers of Minnesota's first Math Teachers' Circle called the Twin Cities Math Teachers' Circle (TCMTC). Myself, Melissa Loe and Cheri Shakiban from University of St. Thomas together with Minneapolis middle school teachers Patty DeJarLais and Chris Wernimont started the circle in August 2010. There are currently 18 members of the TCMTC and we meet each month to work on interesting math problems and improve the problem solving skills of the middle school math teachers who are members. We hope to energize these teachers so they bring their enthusiasm and improved problem solving skills back to their classrooms.

- Ph.D., Applied Science Program ( Mathematics Track) College of William and Mary, 1996.
- M.S., Mathematical Sciences, Clemson University, 1987 .
- B.A., Mathematics and Chemistry, St. Olaf College, 1985.

- Principal Submatrices, Geometric Multiplicities, and Structured Eigenvectors, C.R. Johnson, and B.K. Kroschel, SIAM J. Matrix Anal. Appl, 16-3 (1995) 1004-1012.
- The Euclidean Distance Completion Problem: Cycle Completability, C.R. Johnson, C.A. Jones, and B.K. Kroschel, Linear and Multilinear Algebra, 39 (1995) 195-207.
- An Interior-Point Method for Approximate Positive Semidefinite Completions, C.R. Johnson, B.K. Kroschel, and H. Wolkowicz, Computational Optimization and Applications, accepted.
- Extended Interlacing Intervals, C.R. Johnson, R.O. Hill, and B.K. Kroschel, Linear Algebra and its Applications, accepted.
- The "Clock Hands" Computer Graphics Program, C.R. Johnson and B.K. Kroschel, College Journal of Mathematics, to appear.
- The P-matrix Completion Problem, C.R. Johnson and B.K. Kroschel, Electronic Journal of Linear Algebra, vol 1.
- The Totally Nonnegative Completion Problem, C.R. Johnson, B.K. Kroschel, and M. Lundquist, Fields Institute Communications, to appear.

Course - Section | Title | Days | Time | Location |
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Course - Section | Title | Days | Time | Location | |
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MATH 114 - 04 | Calculus II | M - W - F | 1335 - 1440 | OSS 227 | |

Description of course Genetics B/ Lab: | CRN: 40630 4 Credit Hours Techniques of integration; applications of integration; infinite series; parametric/polar equations. Prerequisite: a grade of C- or above in MATH112 or 113 or 109 | ||||

MATH 114 - 05 | Calculus II | - T - R - | 0955 - 1135 | OSS 226 | |

Description of course Genetics B/ Lab: | CRN: 41542 4 Credit Hours Techniques of integration; applications of integration; infinite series; parametric/polar equations. Prerequisite: a grade of C- or above in MATH112 or 113 or 109 | ||||

MATH 210 - 02 | Intro-Differ Equations & Syst | M - W - F | 1055 - 1200 | BEC LL03 | |

Description of course Genetics B/ Lab: | CRN: 40243 4 Credit Hours An introduction to ordinary differential equations (ODEs), with an emphasis on linear differential equations and linear systems, including applications. Topics covered include first-order equations, ODE models in the physical and biological sciences and engineering, numerical methods of solution, higher order linear equations, matrix tools, the role of eigenvalues and eigenvectors, and LaPlace transforms. Prerequisite: a grade of C- or above in MATH 114 |

Course - Section | Title | Days | Time | Location |
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