Divisibility, Euclidean algorithm, prime factorization, congruences, elementary Diophantine equations, and applications to cryptography. MTH 321 and MTH 521 cannot be taken in the same semester. Prerequisite: MTH 130 or MTH 132.

Study of several fundamental concepts in mathematics including logic, set theory, principles of counting, relations and functions, cardinality, and mathematical induction. No credit in MTH 175 after credit is earned in MTH 332. MTH 175 and MTH 332 cannot be taken in the same semester. Prerequisite: MTH 132 and 175; or Pre/Co-requisites: MTH 223 or 232.

First, second, and higher order differential equations, existence and uniqueness of solutions, Laplace transforms, series solutions, systems of differential equations, numerical methods, and applications. Prerequisites: MTH 133, MTH 223.

The teaching and learning of attribution: patterns, shapes, measurement, and data while using High Leverage Practices in grades PK-6. Admission limited to students pursuing a B.S. in Ed., Teaching Grades PK-3, Teaching Grades 3-6 major or Teaching Grades PK-6 major. Prerequisites: MTH 250 with a grade of C or better; C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132.

The teaching and learning of statistics and probability content in grades 5-12, with an emphasis on designing and understanding research and real-world applications in mathematics education. Prerequisites: MTH 265 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.