Mathematics

A study of Cartesian and polar coordinates, parametric equations, vectors and vector-valued functions in 2 and 3 dimensions, limits, differentiation of functions with applications, integration of functions with applications, Taylor polynomials, and series. It is strongly recommended that students take PHY 2110 and PHY 2120 concurrently with MAT 1510 and MAT 1520, respectively.

Course Hours: 4

A study of Cartesian and polar coordinates, parametric equations, vectors and vector-valued functions in 2 and 3 dimensions, limits, differentiation of functions with applications, integration of functions with applications, Taylor polynomials, and series. It is strongly recommended that students take PHY 2110 and PHY 2120 concurrently with MAT 1510 and MAT 1520, respectively.

Course Hours: 4

A study of partial derivatives and multiple integrals and additional topics in vector-valued functions.

Course Hours: 4

An introduction to mathematical thought for students, especially freshmen, who are interested in a mathematics major or minor, or for any student interested in learning about some important ideas and uses of mathematics. Several contemporary mathematical topics will be studied, such as recently solved problems, orders of infinity, Fermat's last theorem, Tangles and knot theory, cryptography, the fourth dimension, the four-color theorem, topology, or fractals and chaos. Graded S, U.

Course Hours: 1

Study of basic ideas and methods of mathematics including sets, logic, proof techniques, relations, functions, mathematical induction, and modular arithmetic. Prerequisite or corequisite: MAT 1520.

Course Hours: 3

Designed to give accelerated access to upper level physical science courses by providing, in one semester, the essential background in mathematical methods. Course content may include multivariable calculus, linear algebra, complex functions, vector calculus, differential equations, and special functions. Lecture.

Introduction to the basics of mathematical modeling, emphasizing model construction, analysis and application. Using examples from a variety of fields such as physics, biology, chemistry, business, economics, and other non-mathematical disciplines, students will learn how to develop and use both discrete and continuous mathematical models of real-world systems. Computer software will be used, but primary emphasis will be placed on achieving a mental understanding of the relationship described within the models.

Probability of sample spaces, random variables, discrete and continuous probability distributions. Analysis of the principles of descriptive and inferential statistics.

An introduction to ordinary differential equations, including linear and nonlinear equations with applications, power series solutions, and Laplace transforms.

Linear equations, vector operations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, singular values and singular vectors, canonical forms, polynomial functions of matrices, vector spaces, and related topics.