Dickinson College

Tome Scientific Building Room 236

717.245.1402

http://users.dickinson.edu/~schaefje/Site/Welcome.html

Her research interests include the areas of representation theory of finite groups and finite dimensional algebras, symmetric spaces, and writing in the discipline.

- B.S., University of North Dakota, 2003
- M.S., University of Iowa, 2004
- Ph.D., 2008

MATH 211 Discrete Mathematics

An introduction to fundamental mathematical concepts used in mathematics as well as computer science, with an emphasis on writing mathematical arguments. The course presents the principles of mathematical logic and methods of proof such as direct and indirect proofs and mathematical induction. Other topics include sets, functions, relations, matrix algebra, and techniques from elementary combinatorics and graph theory. Prerequisite: 170 or COMP 131 or departmental placement. Offered every semester.

MATH 211 Discrete Mathematics

An introduction to fundamental mathematical concepts used in mathematics as well as computer science, with an emphasis on writing mathematical arguments. The course presents the principles of mathematical logic and methods of proof such as direct and indirect proofs and mathematical induction. Other topics include sets, functions, relations, matrix algebra, and techniques from elementary combinatorics and graph theory. Prerequisite: 170 or COMP 131 or departmental placement. Offered every semester.

MATH 262 Intro to Linear Algebra

An introduction to matrix algebra and abstract vector spaces with an emphasis on writing mathematical arguments. Topics include linear systems and matrices, vector spaces, linear independence, eigenvalues and eigenvectors.Prerequisite: 211 or permission of the instructor. Offered every semester.

MATH 301 Intro to Number Theory

The course aims to introduce the basic concepts of elementary number theory. Some highlights are the fundamental theorem of arithmetic, congruence, Fermat’s little theorem, and quadratic reciprocity. Applications of number theory, including ISBNs, divisibility criteria, cryptography, and coding theory, will be also explored.

MATH 351 Abstract Algebra

An introduction to axiomatic formalism using algebraic structures as paradigms. Topics chosen from groups, rings, integral domains, fields and vector spaces. Prerequisite: 262. Offered every spring.