Dr. Kim Jongerius Professor of Mathematics; Department Chair
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 has published papers in algebraic geometry/commutative ring theory. Sabbatical research led to "Rules and Insights: Connecting the Mathematical and Linguistic Abilities of C.S. Lewis," which combined math and literature, her two greatest academic loves. She also 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." Her most recent publication is "Pressure and Impulse in Student Learning: What I Learned From Teaching Physics."
- Logic and Discrete Mathematics
(3 credits) (Writing intensive) 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 MAT 112QR or permission of instructor.Note: Other topics will be chosen from counting, functions, relations, recursion and graph theory.
(4 credits) (NWCore option under Quantitative Reasoning) This course is a study of statistical methodology commonly used in the biological and health sciences. Material includes basic descriptive methods in statistics, foundational concepts in probability, confidence intervals, hypothesis tests involving one or two samples, correlation and regression including multiple regression, contingency tables, and ANOVA. Students will also complete a substantial project. Prerequisite: ACT math score of 20 or above (SAT 510 or above), ALEKS placement exam score of 46 or above, or concurrent enrollment in MAT100.Note: Students may receive credit for only one course among MAT116QR, MAT117QR and MAT208QR.
- 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.Note: Meets four days per week.
- 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 MAT112QR and MAT180 or permission of instructor.
- 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 MAT180WI or permission of instructor.
- Introduction to Abstract Algebra
(3 credits, alternate years, consult department) A study of groups, normal groups and factor groups, Cayley's Theorem, rings, ideals, homo-morphisms, integral domains, fields, polynomial rings, field extensions and zeros of polynomials. Prerequisite: C- or better in MAT317 or permission of instructor.
- Mathematical Minds
(3 credits) This course will provide you with a survey of some of the fascinating and critical ideas in mathematics, including historical proofs of some results which are familiar to you through your previous mathematical study as well as some results which will be new to you. We will also spend a significant amount of time discussing connections between mathematics and the Christian faith, and we'll take a look into the background of the mathematically and scientifically significant number 0, which has had its own theological issues. And you'll explore the contributions of the various parts of your college experience to the goals of the NWCore program and your progress in establishing personal commitments and a sense of vocation. Prerequisites: C- or better in MAT211 or permission of instructor.
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.
Project NExT fellow, 1994; mentor 2007, 2014, 2015
Mathematical Association of America
National Council of Teachers of Mathematics
Association of Christians in the Mathematical Sciences (board member 2005 - 2013; president 2011 - 2013)
Teaching Excellence Award, Northwestern College, 2005