Students within the mathematics program are encouraged to pursue Research Experience for Undergraduates (REU's). Opportunities are offered throughout the United States and may be found by visiting the National Science Foundation REU website.
Additionally, a small number of students are able to do research with faculty here at St. Scholastica in the summer. For more information, please contact your adviser.
Students of all sorts are encouraged to seek internships. Some of our recent students found placements in aerospace engineering at NASA, marketing analytics at Target, and programming at Securian.
Foundations of Euclidean geometry, solid geometry; introductions to non-Euclidean geometry; spherical geometry. Course includes dynamic geometry investigations using appropriate software. Prerequisite: MTH 2401 or instructor's permission.
Topics include functions of several variables, gradients, partial derivatives and multiple integrals, vector fields, Green's and Stoke's theorems, and applications. Prerequisite: MTH 2222.
Further study of systems of linear equations, matrices and determinants, vector spaces and subspaces, linear transformations, eigenvalues and eigenvectors, diagonalization. Prerequisite: MTH 2222 or instructor's permission.
Introduction to groups, ring and field theory; group homomorphism and isomorphism, Cayley's theorem, and quotient groups, Lagrange's theorem; rings, ideals, ring homomorphism and basic properties of fields. Prerequisite: MTH 3322 or instructor's permission.
A survey course in mathematical probability and statistics. It includes probability distributions and densities, mathematical expectations, functions of random variables, introduction to estimation theory and hypothesis testing and applications. Prerequisite: MTH 2222.
Introduction to real analysis. It includes completeness of the real number system, topology of the real line, sequences, convergence, limits, continuity, differentiability and the Riemann integral, the Fundamental Theorem of Calculus. Prerequisites: MTH 3321,MTH 3322.
This course is required for all Mathematics majors. Under the direction of Mathematics faculty, students pick topics in any area of math, do research/independent reading and write papers for presentation. Prerequisite: instructor's permission.
Study of multivariate distributions, theory of estimation, hypotheses testing, and statistical inference and their applications. Prerequisites: MTH 4411 and MTH 3321.
Sequences of functions, uniform convergence, the Bounded Convergence Theorem, infinite series, topology of the set of real numbers, Heine-Borel Theorem and metric spaces. Prerequisite: MTH 4421.
More topics of rings and fields, maximal and principal ideals, complete ordered fields, polynomial rings, factorization in F[x], field extensions. Prerequisite: MTH 4332.
Concentrated study of various subject areas. Prerequisite: permission of instructor.
The College of St. Scholastica
School of Sciences
Science Building, Room 1101B
1200 Kenwood Avenue
Duluth, MN 55811
Phone: (218) 723-6716