# Mathematics Minor Requirements

## 2018 - 2019 Catalog

## Mathematics minor

A **minor in mathematics** requires completion of 18 credits. A student may not complete both a major and a minor in mathematics. In meeting the requirements of this discipline-based minor, a student may not use more than nine credits used to meet the requirements of another major or minor.

- MATH 102, 221, 222
- Either MATH 311 and 312 or MATH 321 and 322
- One other course at the 300 level in mathematics

- Required courses:
- MATH 102 - Calculus II
FDR FM Credits 3 Prerequisite The equivalent of MATH 101 with C grade or better. Note: Students wanting to take this course should add to the waiting list when open; additional sections may be added Faculty Staff A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

- MATH 221 - Multivariable Calculus
FDR SC Credits 3 Prerequisite The equivalent of MATH 102 with C grade or better. Note: Students needing this course to fulfill an FDR requirement should add to a waiting list when open; additional sections may be added Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

- MATH 222 - Linear Algebra
Credits 3 Prerequisite MATH 221 Introductory linear algebra: systems of linear equations, matrices and determinants, vector spaces over the reals, linear transformations, eigenvectors, and vector geometry.

- Take either:
- MATH 311 - Real Analysis I
Credits 3 Prerequisite MATH 221 with C grade or better; MATH 301 is recommended Basic properties of real numbers, elementary topology of the real line and Euclidean spaces, and continuity and differentiability of real-valued functions on Euclidean spaces.

- and
- MATH 312 - Real Analysis II
Credits 3 Prerequisite MATH 311 Riemann integration, nature and consequences of various types of convergence of sequences and series of functions, some special series, and related topics.

- or
- MATH 321 - Abstract Algebra I
Credits 3 Prerequisite MATH 222; MATH 301 is recommended Groups, including normal subgroups, quotient groups, permutation groups. Cauchy's theorem and Sylow's theorems.

- and
- MATH 322 - Abstract Algebra II
Credits 3 Prerequisite MATH 321 Rings, including ideals, quotient rings, Euclidean rings, polynomial rings. Fields of quotients of an integral domain. Further field theory as time permits.

- One other course at the 300 level in mathematics