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Mathematics

## Degrees and Certificates

## Classes

### MAT 130 : Mathematics for Education Majors I

#### Prerequisites

MAT 132

### MAT 131 : Algebra

### MAT 132 : Trigonometry and Analytic Geometry

#### Prerequisites

MAT 131 or satisfactory placement score.

### MAT 133 : Business Calculus

#### Prerequisites

MAT 132.

### MAT 134 : Pre-Calculus

#### 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.

#### 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.

#### Prerequisites

MAT 145

### MAT 230 : Mathematics for Education Majors II

#### Prerequisites

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).

#### 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.

#### Prerequisites

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.

#### Prerequisites

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.

#### 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.

#### 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.

#### Prerequisites

MAT 241.

### MAT 334 : Numerical Analysis and Simulation

#### 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.

#### Prerequisites

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.

#### Prerequisites

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.

#### 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.

#### Prerequisites

MAT 241 and MAT 234.