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 Certificates

Courses

BUS/MAT 270: Data Analytics & Visualization

Credits 3
Data Analytics & Visualization course will prepare students to clean, process, and visualize data. They will also learn software programs such as advanced excel and Tableau. Students will learn skills to use data to solve problems and support business decisions. Communication skills include verbal communication through story-telling applications related to data.

MAT/BUS 270: Data Analytics & Visualization

Credits 3
Data Analytics & Visualization course will prepare students to clean, process, and visualize data. They will also learn software programs such as advanced excel and Tableau. Students will learn skills to use data to solve problems and support business decisions. Communication skills include verbal communication through story-telling applications related to data.

MAT 100: Intermediate Algebra

Credits 2
Real numbers and algebraic expressions, linear equations and inequalities, graphs and functions, systems of equations, polynomials, rational functions, radicals, quadratic equations. 2 credits

MAT 105: Finite Mathematics

Credits 3
This is an introductory level course which features a variety of topics including logic, set theory, counting techniques, interest and annuities, introduction to probability, and statistics. It is designed to provide students an intense foundational introduction to the fundamental concepts in mathematics.

MAT 110: College Algebra

Credits 3
Equations and inequalities, problem solving, coordinate geometry, graphing techniques, functions, polynomial and rational functions, exponential and logarithmic functions, and systems of equations.

MAT 115: Trigonometry

Credits 2
Right triangles, trigonometric functions, graphs of trigonometric functions, inverse trigonometric functions, trigonometric identities and equations, triangles and vectors.

MAT 120: Precalculus

Credits 4
Functions and graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, inverse trigonometric functions, trigonometric equations and identities.

MAT 130: Elementary Statistics

Credits 3
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 1

Credits 4
Limits and continuity, derivatives, rules of differentiation, applications of differentiation, definite and indefinite integrals, applications of integration.

MAT 220: Calculus 2

Credits 4
Logarithmic and exponential functions, inverse trigonometric functions, techniques of integration, indeterminate forms and improper integrals, sequences and series, parametric equations, and polar coordinates.

MAT 230: Calculus 3

Credits 4
Vectors, surfaces, vector-valued functions, functions of several variables, partial derivatives, multiple integrals, cylindrical and spherical coordinates, vector fields, Green’s Theorem.

MAT 240: Differential Equations

Credits 3
Initial-value problems, first-order differential equations, higherorder differential equations, Laplace transform, numerical solutions, applications, and mathematical models.

MAT 250: College Geometry

Credits 3
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 260: Linear Algebra

Credits 3
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 280: Introduction to Actuarial Science

Credits 3
A course for students interested in actuarial science or mathematical application in real life. Basic information on actuarial science will be introduced. Topics include career information, examples of problems that actuaries work on, and fundamentals of probability, statistics, and financial modeling. Students will apply statistics, probability, algebra, and basic calculus concepts to solve real-life investing and financing problems.

MAT 310: Foundations of Mathematics

Credits 3
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 3
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 350: History of Mathematics

Credits 3
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.

MAT 360: Elementary Number Theory

Credits 3
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.

MAT 370: Financial Mathematics

Credits 3
The objective of this course is to provide students an understanding of the fundamental concepts of financial mathematics and how those concepts and mathematical techniques are used in the financial industry. Topics include no-arbitrage principle, time value of money, money market, black-scholes formula, risk assets such as stocks, portfolio management, forward and futures contracts, etc.