Kroschel, Brenda
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 coorganizers 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.
Education:
 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.
Publications:
 Principal Submatrices, Geometric Multiplicities, and Structured Eigenvectors, C.R. Johnson, and B.K. Kroschel, SIAM J. Matrix Anal. Appl, 163 (1995) 10041012.
 The Euclidean Distance Completion Problem: Cycle Completability, C.R. Johnson, C.A. Jones, and B.K. Kroschel, Linear and Multilinear Algebra, 39 (1995) 195207.
 An InteriorPoint 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 Pmatrix 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.
Spring 2016 Courses
Course  Section  Title  Days  Time  Location  

MATH 113  01  Calculus I  M  W  F    1215  1320  OSS 227  
Description of course Genetics B/ Lab: 
CRN: 20190
4 Credit Hours
Instructor: Brenda K. Kroschel
An introductory course in calculus: limits; derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions of one real variable; applications of the derivative in engineering and the natural sciences. Prerequisite: a grade of C or above in MATH 105 or a satisfactory score on the mathematics placement examination. (Four years of high school mathematics, including college algebra and trigonometry, also are recommended as background for this course.) NOTE: Students who receive credit for MATH 113 may not receive credit for MATH 108, 109, or 111.
Schedule Details


MATH 113  02  Calculus I  M  W  F    1335  1440  OSS 214  
Description of course Genetics B/ Lab: 
CRN: 20191
4 Credit Hours
Instructor: Brenda K. Kroschel
An introductory course in calculus: limits; derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions of one real variable; applications of the derivative in engineering and the natural sciences. Prerequisite: a grade of C or above in MATH 105 or a satisfactory score on the mathematics placement examination. (Four years of high school mathematics, including college algebra and trigonometry, also are recommended as background for this course.) NOTE: Students who receive credit for MATH 113 may not receive credit for MATH 108, 109, or 111.
Schedule Details


MATH 240  01  Linear Algebra  M  W  F    1055  1200  OSS 227  
Description of course Genetics B/ Lab: 
CRN: 20596
4 Credit Hours
Instructor: Brenda K. Kroschel
An introductory course in linear algebra, beginning with linear equations and matrix algebra. Subsequent topics include study of vector spaces, orthogonality, eigenvectors and inner products. The course combines theoretical and applied perspectives, including concepts of rigorous proof. Offered every semester. Prerequisite: A grade of C or above in MATH 200 may be taken concurrenlty
Schedule Details

Summer 2016 Courses
Course  Section  Title  Days  Time  Location 

Fall 2016 Courses
Course  Section  Title  Days  Time  Location  

MATH 113  07  Calculus I   T  R     0955  1135  OSS 226  
Description of course Genetics B/ Lab: 
CRN: 40426
4 Credit Hours
Instructor: Brenda K. Kroschel
An introductory course in calculus: limits; derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions of one real variable; applications of the derivative in engineering and the natural sciences. Offered Fall, Spring and Summer.
Prerequisite: a grade of C or above in MATH 105 or placement at MATH 113 or above. Four years of high school mathematics, including college algebra and trigonometry, also are recommended as background for this course.
NOTE: Students who receive credit for MATH 113 may not receive credit for MATH 108, 109, or 111.
Schedule Details


MATH 113  08  Calculus I   T  R     1330  1510  OSS 226  
Description of course Genetics B/ Lab: 
CRN: 41952
4 Credit Hours
Instructor: Brenda K. Kroschel
An introductory course in calculus: limits; derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions of one real variable; applications of the derivative in engineering and the natural sciences. Offered Fall, Spring and Summer.
Prerequisite: a grade of C or above in MATH 105 or placement at MATH 113 or above. Four years of high school mathematics, including college algebra and trigonometry, also are recommended as background for this course.
NOTE: Students who receive credit for MATH 113 may not receive credit for MATH 108, 109, or 111.
Schedule Details


MATH 317  D01  Real Analysis  M  W  F    1055  1200  OSS 225  
Description of course Genetics B/ Lab: 
CRN: 40212
4 Credit Hours
Instructor: Brenda K. Kroschel
Topology of the real numbers. Functions of one real variable. Rigorous development of continuity and uniform continuity; differentiability; uniform convergence. Sequences and series. Offered Fall.
Prerequisites: A grade of C or above in MATH 240
Schedule Details
