Mathematics

Faculty: Associate Professors Dioses (coordinator) and Cui 

The mathematics program helps all students develop the ability to think logically, solve problems, and understand numerical data. The curriculum provides the solid foundation in mathematics necessary for prospective majors in the mathematical sciences, the natural sciences, and engineering. Students may obtain the mathematical preparation needed for study in business, social sciences, and other quantitative fields.

Degrees and Minors

Courses

MAT 100: Intermediate Algebra

Credits 4
Real numbers and algebraic expressions, linear equations and inequalities, graphs and functions, systems of equations, polynomials, rational functions, radicals, quadratic equations.

MAT 110: College Algebra

Credits 4
Basic concepts, linear and quadratic equations, inequalities, functions and graphing, exponential and logarithmic functions, systems of equations, word problems, complex numbers, polynomials and binomial theorem.

MAT 115: Trigonometry

Credits 3
Right triangle trigonometry, trigonometric functions, trigonometric identities and equations, graphing of trigonometric functions, law of cosines and law of sines.

MAT 120: Precalculus

Credits 5
Preparation for study of calculus, including linear functions, polynomials, rational functions, exponential and logarithmic functions, and introductory trigonometry. Not open to students with credit in MAT110 or MAT115.

MAT 130: Elementary Statistics

Credits 4
Descriptive statistics, sampling, basic probability, random variables, binomial and normal distributions, confidence intervals, tests of significance, and introduction to regression and correlation.

MAT 210: Calculus I

Credits 5
Inequalities, functions, limits and continuity, differentiation, applications of derivative, integration, and applications of definite integral.

MAT 220: Calculus II

Credits 5
Calculus of trigonometric functions, logarithmic and exponential functions, techniques of integration, indeterminate forms and improper integrals, infinite series, conic sections and polar coordinates.

MAT 230: Calculus III

Credits 5
Three-dimensional vector calculus, partial differentiation, multiple integration, applications, line integral and Green's Theorem.

MAT 240: Differential Equations

Credits 4
Ordinary differential equations including first order equations, higher order linear equations, applications, series solutions and Laplace transforms.

MAT 250: College Geometry

Credits 4
This course provides a rigorous study of the concepts and applications of the properties of finite geometries and of points, lines, triangles, and circles in Euclidean geometry. Non-Euclidean geometries will also be studied and contrasted. Appropriate computer software and hand held technologies will be utilized.

MAT 255: History of Mathematics

Credits 4
This course is a survey of the historical development of mathematics from ancient to modern times. It focuses on the evolution of mathematical ideas across different cultures and the people who developed these ideas. Topics include: mathematics in ancient Greece, mathematics in ancient China and India, Islamic mathematics, Medieval and Renaissance mathematics, Newton and Leibniz, 18th and 19th century mathematics, women in mathematics. 3 credits

MAT 260: Linear Algebra

Credits 4
This is a course for students of science, engineering and mathematics. Topics include the system of linear equations, matrices and matrix algebra, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors. In this class, we will focus on the mathematical theories and methods of linear algebra and will introduce some applications of linear algebra in software if time is allowed.

MAT 310: Foundations of Mathematics

Credits 4
This course is an introduction to advanced mathematics. It focuses on understanding and writing proofs using rigorous mathematical reasoning. Topics include: logic, proof techniques, set theory, relations, functions, cardinality, and systems of numbers.

MAT 320: Probability and Statistics

Credits 4
This is a calculus-based course in probability and statistics. Probability topics include random events, foundations of probability, discrete and continuous random variables, densities and distributions, expectation, variance and moments, sampling distributions and the central limit theorem. Statistics topics include descriptive statistics, point estimator, confidence intervals, and hypothesis testing.

MAT 360: Elementary Number Theory

Credits 4
This course is an introduction to classical number theory. It focuses on the theoretical and the computational aspects of number theory as well as some applications. Topics include: divisibility, prime numbers, Diophantine equations, quadratic reciprocity, primitive roots, number-theoretic functions, applications to cryptography.