Michel Smith, PhD, College of Sciences and Mathematics Faculty and Staff

Professional Experience

Teaching

Lower-Level Courses

Pre-Calculus, Finite Mathematics, College Algebra and Trigonometry, Calculus I, II and III, Calculus IV under the quarter system, Calculus lab associated with Calculus I, Honors Calculus I-III, Calculus in conjunction with Physics I-IV under the quarter system, Linear Differential Equations, Linear Algebra, Fortran, Elementary Mathematics I and II under the quarter system, and Mathematics for Elementary Education I, II and III.

Upper-Level Courses

History of Mathematics, Abstract Algebra I, Engineering Mathematics, Discrete Mathematics for Computer Sciences, Mathematical Modeling, Analysis I and II, Vector Calculus, Tensor Analysis, Modern Geometry, Numerical Analysis I and II, Probability and Statistics, Statistics I and II, Topology, Foundations of Statistics for Secondary School Teachers, Number Theory for Secondary Education, Non-Euclidean Geometry for Secondary Education, and Continuous Mathematical Modeling.

Graduate Courses

Numerical Analysis for Secondary School Teachers, Tensor Analysis, General Topology I, II and III, Point-Set Topology I, II and III, Continuum Theory I and II, Directed Readings in Analysis, Directed Reading in Topology, Directed Readings, Research and Thesis, Research and Dissertation, and Special Topics in Differential Topology.

College and University Courses

Concepts of Science, Human Odyssey I and II, Human Odyssey quarters I-III, and Honors Human Odyssey.

Graduate Student Mentoring

• 16 master’s degree students
• 8 doctoral students

Innovation

Selected Papers

• “Generating large indecomposable continua,” Pacific Journal of Mathematics, vol. 62, no. 2, 1976, pp. 587-593.
• “Plane indecomposable continua no composant of which is accessible at more than one point,” Fundamenta Mathematicae, vol. CXI, 1981, pp. 61-69.
• With J. Krasinkiewicz, “Hereditarily indecomposable continua with trivial shape,” Fundamenta Mathematicae, vol. CXIX, 1983, pp. 133-134.
• “Every mapping of the pseudo-arc onto itself is a near homeomorphism,” Proceedings of the American Mathematical Society, vol. 91, 1984, pp. 163-166.
• “No arbitrary product of Beta([0,1)) - [0,1) contains a non-degenerate hereditarily indecomposable continuum,” Topology and its Applications, vol. 27, 1987, pp. 1-6.
• “Layers of components of Beta([0,1] x N) are indecomposable,” Proceedings of the American Mathematical Society, vol. 114, no. 4, April 1992, pp. 1151-1156.
• With Jan Boroński, “On the Conjecture of Wood and Projective Homogeneity,” Journal of Mathematical Analysis and Applications, vol. 461, no. 2, 2018, pp. 1733-1747.
• “Hereditarily indecomposable subcontinua of the product of two Hausdorff arcs are metric,” Topology Proceedings, vol. 57, 2021, pp. 15-24.