Kim Jongerius, Ph.D.
Professor of Mathematics
Ph.D., Colorado State University
M.S., Colorado State University
B.S., Northern Arizona University
Dr. Jongerius holds master's and doctoral degrees in mathematics, but she enjoys other languages as well. In fact, she combined her undergraduate math major with a major in English and a minor in German.
Dr. Jongerius joined Northwestern's faculty in 1993 and received the college's Teaching Excellence Award in 2005. She has published papers in algebraic geometry/commutative ring theory. Her most recent paper, "Rules and Insights: Connecting the Mathematical and Linguistic Abilities of C.S. Lewis," combined math and literature, her two greatest academic loves. She also recently worked with a team of writers from the ACMS (Association of Christians in the Mathematical Sciences) on a book called Mathematics Through the Eyes of Faith, published in the summer of 2011 by HarperOne. Jongerius co-authored three of the chapters: "Infinity," "Dimension," and "Proof and Truth."
- College Geometry
College Geometry (3 credits, alternate years, consult department) A study of topics in Euclidean geometry as well as axiomatic systems, non- Euclidean geometry, and projective geometry. Prerequisite: C- or better in MAT180 or permission of instructor.
- Calculus for Management, Life and Social Sciences
Calculus for Management, Life and Social Sciences (3 credits) (IGE option under Quantitative Reasoning) A calculus course for non-majors that emphasizes applications and techniques that are of significance in business, biology, health and social sciences. Applications involving both differential and integral calculus are included. Prerequisite: C- or higher in MAT109, or an ACT math score of at least 22 (SAT 520 or above), or permission of mathematics department chair.
- Introduction to Abstract Algebra
Introduction to Abstract Algebra (3 credits, alternate years, consult department) A study of groups, normal groups and factor groups, Cayley's Theorem, rings, ideals, homomorphisms, integral domains, fields, polynomial rings, field extensions and zeros of polynomials. Prerequisite: C- or better in MAT317 or permission of instructor.
- Logic and Discrete Mathematics
Logic and Discrete Mathematics (3 credits) An introduction to the language and logic of mathematical proof via topics in discrete mathematics. Topics will include logic, elementary number theory, basic set theory and methods of mathematical proof (direct proof, indirect proof, induction). Prerequisite: C- or better in MAT112 or permission of instructor.
- Calculus III
Calculus III (4 credits) A study of the cylindrical and spherical coordinate systems, vectors in two dimensions and three dimensions, vector valued functions, functions of several variables, multiple integration, and vector calculus. Prerequisite: C- or better in MAT211 or permission of instructor.
- Linear Algebra
Linear Algebra (3 credits) A study of the algebra of matrices and vector spaces including matrix operations, systems of equations, determinants, properties of real vector spaces, eigenvalues and eigenvectors. Prerequisite: C- or better in MAT112, 180 or permission of instructor.
- Topics in the History of Mathematics
Topics in the History of Mathematics (3 credits, alternate years, consult department) In this course, students will gain
an appreciation for the development of mathematical thought through exploration of
some of the fascinating and critical ideas in the history of mathematics. Topics
include historical proofs of results students have encountered in previous
mathematical study; along with some results, which will be new. Prerequisites:
MAT180 and MAT211.
Publications and presentations
- Mathematics Through the Eyes of Faith, co-author of chapters "Infinity," "Dimension," and "Proof and Truth," 2011.
- "Rules and Insights: Connecting the Mathematical and Linguistic Abilities of C.S. Lewis," Journal of the Association of Christians in the Mathematical Sciences, 2009.
- "Etale Cohomology of Toric Varieties Defined by Infinite Fans," with Frank DeMeyer, Journal of Pure and Applied Algebra, 1996.
- "Examples of Reflexive Modules," with Frank DeMeyer, Methods in Module Theory, 1992.
Professional involvements and accomplishments
- Mathematical Association of America
- National Council of Teachers of Mathematics
- Association of Christians in the Mathematical Sciences (board member 2005 - 2013; president 2011 - 2013)
- 2005 Northwestern Teaching Excellence Award