## Course Descriptions

MAT 130: College Algebra
Goal:
To study, with emphasis on the function concept, the essentials of algebra.
Content: General properties of graphs and functions; properties, graphs, and applications of polynomial, rational, exponential and logarithmic functions.
Taught: Fall, Spring.
Prerequisite: Two years of high school algebra and one year of high school geometry or the equivalent.
Credit: 3 hours.

MAT 140: Precalculus Mathematics
Goal:
To study, with emphasis on the function concept, the essentials of trigonometry and analytical geometry.
Content: Properties, graphs, and applications of trigonometric and inverse trigonometric functions; trigonometric identities and equations; systems of equations; conic sections; introduction to vectors, matrices, and complex numbers.
Taught: Fall, Spring.
Prerequisites: Two years of high school algebra and one year of high school geometry or the equivalent and sufficiently high score on the mathematics placement exam, or permission of the instructor, or MAT 130.
Gen. Ed. Category: Developing; Quantitative Reasoning Competency; (SM)
Credit: 3 hours.

MAT 150: Modeling with Algebra
Goal: To study selected topics from college algebra and their applications
Content: Topics include the graphs and properties of linear, power, exponential, logarithmic, and polynomial functions. Applications of these functions will employ real-life data, incorporate numerical, symbolic, and geometric methods of analysis, and fit curves to the data by using least-squares criteria.
Taught: Fall
Prerequisite: MAT 130 or equivalent.
Gen. Ed. Category: Developing; Quantitative Reasoning Competency; (SM)
Credit: 3 hours.

MAT 192: Introduction to Mathematical Reasoning
Goal:
To learn how to analyze and solve problems encountered in various areas of mathematics, in real life, and in other areas of study.
Content: Topics covered include problem solving, patterns in mathematics, deductive reasoning, logic, analyzing arguments, set theory, the real number system, number theory, numeration systems, polygons, transformations, tessellations, graphical descriptions of data, and counting methods.
Taught: Fall, Spring
Prerequisite: None.
Gen. Ed. Category: Developing; Quantitative Reasoning Competency; (SM)
Credit: 3 hours.

MAT 205: Calculus I
Goal: To study the concepts of differential calculus and to begin the study of integral calculus.
Content: Properties and graphs of algebraic and transcendental functions, limits, continuity, the derivative, and some of its applications, and the definite integral.
Taught: Fall, Spring.
Prerequisites: MAT 140 or equivalent, or two years of high school algebra, one year of high school geometry, and at least a semester of trigonometry.
Gen. Ed. Category: Developing; Quantitative Reasoning Competency; (SM)
Credit: 3 hours.

MAT 206 : Calculus II
Goal: To study the concepts of integral calculus.
Content: The Fundamental Theorem of Calculus, techniques of integration, applications of the definite integral, improper integrals, sequences and series, Taylor polynomials and power series.
Taught: Fall, Spring.
Prerequisites: MAT 205 or equivalent.
Gen. Ed. Category: Quantitative reasoning.
Credit: 3 hours.

MAT 207: Calculus III
Goal: To expand the study of differential and integral calculus to an intermediate level.
Content: Indeterminate forms, improper integrals, sequences and infinite series, Taylor polynomials and power series, conics, polar co-ordinates, and an introduction to numerical methods and approximations.
Taught: Fall.
Prerequisites: MAT 206 or equivalent.
Credit: 3 hours.

MAT 208: Calculus IV
Goal: To study the extension of the concepts of calculus to functions of several variables.
Content: Properties of functions of several variables, differentiation and integration in Rn vectors, parametric equations.
Taught: Spring.
Prerequisites: MAT 206 or equivalent.
Credit: 3 hours.

MAT 300: Ordinary Differential Equations
Goal: To explore methods of solving ordinary differential equations. To expand upon the techniques learned in the calculus sequence.
Content: A study of first and second order differential equations and of higher order linear differential equations, including power series methods, Laplace transform, and a brief introduction to numerical techniques.
Taught: Spring.
Prerequisites: MAT 205 and 206; 207 as a co- or prerequisite.
Credit: 3 hours

MAT 311: Abstract Algebra I
Goal: To study the algebraic properties of groups and rings by means of a rigorous axiomatic approach, focusing on the use of logic and on various methods of proof.
Content: A study of groups, subgroups, rings, ideals, domains, unique factorization domains, and ideal domains.
Taught: Fall. Alternate years.
Prerequisite: MAT 210.
Credit: 3 hours.

MAT 312: Abstract Algebra II
Goal: To continue the study of algebraic properties of rings and fields. To expand understanding and use of various methods of proof. To prepare students for graduate level mathematics.
Content: A study of fields, modules, and Galois theory.
Taught: Spring. Alternate years.
Prerequisite: MAT 311.
Credit: 3 hours.

MAT 401: Real Analysis I
Goal: To examine more intensively topics presented in the calculus sequence, focusing on the roles of rigorous proof and logic.
Content: A study of the algebraic and topological properties of the ordered field of real numbers, sets, functions, limits, continuity, differentiation, and integration.
Taught: Fall. Alternate years.
Prerequisite: MAT 205–208.
Credit: 3 hours

MAT 402: Real Analysis II
Goal: To extend the concepts and techniques presented in MAT 401. To extend the calculus sequence to functions of several variables. To prepare students for graduate level mathematics.
Content: A study of the analytical properties of functions of several real variables, including differentiation, the inverse function theorem, integration, simplexes, and chains.
Taught: Spring. Alternate years.
Prerequisites: MAT 210 and 401.
Credit: 3 hours.

MAT 405: Mathematical Modeling
Goal: To provide an opportunity for students to make connections between mathematics and other disciplines. To enable each student to analyze and adopt a particular model and to present her results in a public forum.
Content: An introduction to mathematical modeling and computer simulation of real-world phenomena, with special attention paid to the initial formulation of the model, the computer implementation of the model, and the interpretation of the mathematical or numerical results. The topics covered will include optimization models, dynamic models, and probability models while real-world phenomena will be drawn from such disciplines as biology, economics, chemistry, physics, political science, psychology, and sociology.
Taught: Spring. Alternate years.
Prerequisites: MAT 205–208, MAT 210, MAT 300, PHY 121, or permission of the instructor.
Credit: 3 hours.

MAT 419: Probability and Statistics
Goal: To study basic mathematical theory, methods, and techniques in probability and statistics, and to examine applications.
Content: A calculus-based treatment of discrete and continuous probability distributions and their applications, including the binomial, hypergeometric, Poisson, uniform, geometric, and normal distributions. Hypothesis testing and chi-square tests.
Taught: Fall. Alternate years.
Prerequisite: MAT 206.
Credit: 3 hours.