### MATHEMATICS COURSES

*Take the following courses:*

**MA-130** Calculus I

An introduction to calculus including differentiation and integration of elementary functions of a single variable, limits, tangents, rates of change, maxima and minima, area, volume, and other applications. Integrates the use of computer algebra systems, and graphical, algebraic and numerical thinking.

4 CreditsN, QM

**MA-230** Calculus II

Expands the treatment of two-space using polar and parametric equations. Emphasizes multivariable calculus, including vectors in three dimensions, curves and surfaces in space, functions of several variables, partial differentiation, multiple integration, and applications.

4 CreditsN, QM**Prerequisite: MA130**

**MA-235** Calculus III

A continuation of the calculus sequence. Topics include methods of integration by Simpson's Rule, applications, Taylor and Fourier series; introduction to ordinary differential equations; integration in polar, cylindrical, and spherical coordinates; differential and integral vector calculus.

4 CreditsN, QM**Prerequisites: MA230.**

**MA-160** Linear Algebra

An introduction to systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and applications.

3 CreditsN, QM**Prerequisites: MA130.**

**MA-220** Introduction to Probability & Statistics

An introduction to the basic ideas and techniques of probability theory and to selected topics in statistics, such as sampling theory, confidence intervals, and linear regression.

4 CreditsN, QS, CTGES**Prerequisite: MA130**

*Complete one of the following options below:*

##### OPTION 1

**MA-210** Foundations of Mathematics

An introduction to the logical and set-theoretic basis of modern mathematics. Topics covered include propositional and predicate logic; induction; naive and axiomatic set theory, binary relations, mappings, infinite sets and cardinality; finite sets and combinatorics; and an introduction to the theory of computability. Students will learn to read and to express mathematical ideas in the set-theoretic idiom.

3 CreditsCW**Prerequisites: MA160 or MA116 or PL208 or MA208 or permission of the instructor.**

(AND)

*Take one 300 or 400 level Mathematics course (except MA-480 and MA-355)*

##### OPTION 2

*Take two 300 or 400 level Mathematics courses (except MA-480 and MA-355)*

#### Secondary Emphasis Credit Total = 25-26

Any course exception must be approved by the advisor and/or department chair.

To claim a solid foundation in mathematics, a student should be acquainted with an appropriate variety of techniques and applications areas. This certainly includes a good background in calculus, and an exposure to matrices, probability, statistics, and discrete mathematics. In addition, one should pursue a more in-depth understanding of at least one area of mathematics and also deal more explicitly with the theoretical nature of the subject.