# Mathematics

## Classes

### MAT 101 : Quantitative Literacy

The overall goal of this course is to present and explain the quantitative tools necessary to understand issues arising in the popular media and in our daily lives. Through contemporary real-word application, our aim is to teach students the practical skills they will need throughout their lives to be critical thinkers, informed decision makers, and intelligent consumers of the quantitative information that they see every day. This goal motivates our choice of topics and our use of numerous materials from the popular media as illustrations.
Credits 3

### MAT 130 : Mathematics for Education Majors I

This course emphasizes the principles of basic arithmetic, structure and properties of the real number system, number systems in various bases, elementary probability and statistics, elementary geometry, other topics related to basic concepts taught in elementary grades.
Credits 3

MAT 132

### MAT 131 : Algebra

This course is designed to teach the principles of algebraic methods and the basic skills needed in higher mathematics courses. Specifically, the course covers real and complex number systems, exponents, polynomials, rational expressions, methods of solving linear and quadratic equations and inequalities (including graphical methods), solution techniques for solving application problems, the Cartesian Coordinate System, solution techniques (including graphical methods) for solving problems involving equations of the straight line, circle, parabola, and other functions. This course meets the mathematics requirements for students majoring in Business, Biology, or Chemistry, but it does not count toward a major or minor in mathematics.
Credits 3

### MAT 132 : Trigonometry and Analytic Geometry

This course is designed to introduce students to the equations, properties, and graphs of the basic functions of mathematics. The functions studied include the linear, quadratic, higher degree polynomial, rational, exponential, logarithmic, and trigonometric. In addition, the course includes an examination of basic concepts that pertain to all functional operations and inverses. The course also includes the study of one class of geometric objects, which are sometimes non-functions, the conic sections, and trigonometric identities, equations, and applications. This course meets the mathematics requirements for most college majors, but it does not count toward a major or minor in mathematics.
Credits 3

#### Prerequisites

MAT 131 or satisfactory placement score.

### MAT 133 : Business Calculus

This course is a study of techniques of applying differential and integral calculus to application problems. Examples and problems are from the fields of business, economics, finance, life sciences, and social sciences. Basic concepts of functions are studied, along with the differentiation and integration of exponential and logarithmic functions. Anti-differentiation with applications and techniques of integration are also studied. Does not count toward the Mathematics major.
Credits 3

MAT 132.

### MAT 134 : Pre-Calculus

This course is designed as a prerequisite for calculus. It will provide an in-depth study of the fundamental topics that are necessary for success in calculus. Topics include properties and graphs of polynomial, exponential, logarithmic and trigonometric functions. Other topics include: systems of equations and inequalities, sequences, series, conic sections, and limits. MAT 134 does not count toward a major in mathematics.
Credits 3

#### Prerequisites

A grade of B or better in MAT 131, or satisfactory placement score.

### MAT 145 : Calculus I

This course introduces students to the three fundamental concepts of calculus, using standard and nonstandard algorithms of numbers and quantity, and focus on Fundamental Theorem of Calculus, logarithmic, exponential, and trigonometric functions. Study of limits and continuity, evaluation of limits using algebraic techniques (such as finding the absolute value), numerical approximations, and/or computers, dealing with rational, irrational, real, and complex numbers; study of derivative of elementary functions, physical applications of the derivative including functional representations such as curve sketching (table graphs), rate problems, maximizing and minimizing physical quantities; study of antiderivative, definite integral, the classical
area problem and applications of the definite integral and basic integration techniques.

Credits 4

#### Prerequisites

MAT 134 or satisfactory placement score.

### MAT 146 : Calculus II

Continuation of Calculus I; in-depth study of the techniques of integration; study of sequences, infinite series and their convergence/divergence; study of curves described by parametric equation and polar coordinates; study of vector functions; and focus on Fundamental Theorem of Calculus to solve problems involving calculus.

Credits 4

MAT 145

### MAT 230 : Mathematics for Education Majors II

This course is a continuation of Mathematics for Education Majors I which emphasizes the principles of basic arithmetic, structure and properties of the real number system, number systems in various bases, elementary probability and statistics, elementary geometry, other topics related to basic concepts taught in elementary grades.
Credits 3

MAT 130

### MAT 233 : Introduction to Statistics

This course covers statistical change, statistical inference, statistical design, organizing, creating, and summarizing data (such as implementing box plots, histograms, cumulative frequency plots), probability concepts, estimation, chance phenomena, simulations, and tests of significance (decision-making).

Credits 3

#### Prerequisites

MAT 132 or MAT 134.

### MAT 234 : Discrete Math I

This course is an introduction to the theory and use of discrete mathematical structures that include quantitative reasoning, mathematical logic, mathematical induction, combinatorics (permutations and combinations), relations, partially ordered systems, graphs, trees, networks, permutations, logic and linear programming (predicate logic), analysis of algorithms, recursion, relationships, Boolean algebras and other algebraic structures, and modeling.

Credits 3

MAT145.

### MAT 241 : Calculus III

This course extends the concepts of single variable calculus to multivariate functions. Topics include study of vector operations in n-dimensional space; vector-valued functions; differential and integral calculus of multiple variables; using geometry and trigonometry to solve problems involving calculus.

Credits 4

MAT 146

### MAT 331 : Linear Algebra

This course is a study of vector operations and spaces, subspaces, and linear transformations as well as quadratic, polynomial, and exponential functions; systems of linear equations; matrix operations, determinants, eigenvalues, and modeling real-world relationships.

Credits 3

#### Prerequisites

MAT 146 and MAT 234.

### MAT 332 : Abstract Algebra

This course is a study of algebra as it relates to elementary number theory (such as factorization, primes, and common factors), groups, rings (such as, division rings), integral
domains, and elementary field theory and the relationship between structures of number systems and symbolic calculations, modeling those relationships and operations.

Credits 3

#### Prerequisites

MAT 146 and MAT 234.

### MAT 333 : Differential Equations

This course is a study of equations of the first order, linear equations of higher order, existence and uniqueness, the LaPlace Transform, numerical methods, applications in order to formulate, represent, and analyze mathematical models derived from real-world contexts.

Credits 3

MAT 241.

### MAT 334 : Numerical Analysis and Simulation

This course emphasizes programming applications using numerical methods for finding roots of equations, solutions of simultaneous linear equations, and numerical integration. The course also introduces students to computer simulations and simulation methods.
Credits 3

#### Prerequisites

CSC 131, MAT 241, and MAT 234.

### MAT 335 : Discrete Math II

This course is an extension of discrete mathematical structures that include quantitative reasoning, mathematical logic, mathematical induction, combinatorics (permutations and combinations), relations, partially ordered systems, graphs, trees, networks, permutations, logic
and linear programming (predicate logic), analysis of algorithms, recursion, relationships, Boolean algebras and other algebraic structures, and modeling.

Credits 3

MAT 234.

### MAT 336 : Modern Geometry

This course is a study of axiomatic systems for affine geometries, translations, dilations, rotations, reflections, and linear transformations, and affine geometries over rings. Topics included in this course are proofs, trigonometry, periodic phenomena, identification, classification into categories, visualization, representation, Euclidean affine geometry, congruence (symmetry) and similarity, measurement, and conics; the course uses formulas to find perimeter, area, surface area, and volume and to solve problems involving geometry, trigonometry, and calculus.

Credits 3

MAT 331.

### MAT 430 : Seminar in the History and Philosophy of Mathematics

This course emphasizes readings in the historical development perspectives of number systems, algebra, geometry, statistics, probability, calculus, discrete mathematics, and trigonometry featuring diverse cultures in ancient and modern writings. Students will make oral and written presentations to express mathematical understandings and ideas precisely and to demonstrate the interconnectedness among those ideas concerning mathematical thinking based upon the topics discussed in the readings; and the course gives attention to practices of problem solving and reasoning.

Credits 3

#### Prerequisites

MAT 333 and MAT 335.

### MAT 431 : Introduction to Real Analysis

This course is a study of number theory, derivatives, and integrals; introduction to special functions, function spaces, and series of functions; methods of writing and understanding
mathematical proofs.

Credits 3

#### Prerequisites

MAT 241 and MAT 234.