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Math Courses

MAT 129. PRE-COLLEGE ALGEBRA (3).

Lecture-laboratory course designed for students who need to strengthen their skills in basic mathematics and beginning algebra by focusing and applying the fundamental principles governing fractions, decimals, percent, properties of real numbers and exponents, evaluation of algebraic expressions, solving linear equations, basic geometry and application problems. Nondegree credit.

MAT 130, 131. INTERMEDIATE ALGEBRA I, II (3,3).

Lecture-laboratory course designed for students who need to enhance their knowledge of algebraic computational skills by focusing and applying the fundamentals governing real numbers, linear equations in one and two variables, inequalities, applied problems, systems of equations, exponents, polynomials, factoring, rational expressions and equations, radicals and quadratic equations. Nondegree credit.

MAT 136. FINITE MATHEMATICS (3).

A study of linear equations and functions, systems of linear equations and matrices, linear programming, sets and counting, probability and statistics, and finance. This course is designed for nonscience majors and is intended to give an overview of topics in finite mathematics in conjunction with their applications. Honors sections of this course are offered each semester for students enrolled in the Honors Program.

MAT 137. PRECALCULUS ALGEBRA (3).

A study of functions and graphs; linear equations and inequalities in one variable; systems of linear equations; quadratic equations and inequalities in one variable; second-degree equations in two variables; inequalities in linear programming with two variables; polynomials and rational functions; exponential and logarithmic functions; sequence and series.

MAT 165. PRECALCULUS TRIGONOMETRY (5).

A study of the properties of trigonometric functions, equations and identities, inverse functions; an introduction to vectors and analytic geometry. Prerequisite: MAT 137.

MAT 205. CALCULUS (3).

This course is intended for students of the social, biological and management sciences. Tools and rules, algebraic equations, functions and continuity, derivatives, applications of derivatives, integration, integration techniques, applications of special functions, improper integrals, partial derivations, extremes with two variables and external problems with constraints. (for nonscience majors)

MAT 225. INTRODUCTION TO STATISTICS (3).

Sample space; probability models, random variables, expectations; basic descriptive statistics, hypothesis testing, estimation,linear regression and nonparametric tests. Prerequisite: MAT 165.

MAT 251. INTRODUCTION TO LINEAR ALGEBRA (3).

Finite dimensional vector spaces, matrix algebra, the study of solution space; linear equations, linear inequalities and linear transformations. Prerequisite: MAT 265.

MAT 256. DISCRETE MATHEMATICS (3).

Logic, set theory, function, counting and countability, relation, graph theory and digraphs. Prerequisite: MAT 265.

MAT 265, 266. CALCULUS AND ANALYTIC GEOMETRY I, II (4,4).

Analytic geometry of lines and circles; limits; continuity of a function of variable; maxima and minima values of one variable; points of inflection; curve tracing application; conics; methods of integration; derivatives and integrals of transcendental functions of one variable; applications of derivatives and integrals. Prerequisite: MAT 165.

MAT 267. CALCULUS AND ANALYTIC GEOMETRY III (4).

Analytic geometry of quadratic surfaces; derivatives and differentials of a function of more than one variable; maximum and minimum values of a function of more than one variable; and multiple integrals and applications. Prerequisites: MAT 265 and MAT 266.

MAT 320. FUNDAMENTALS OF MATHEMATICS FOR ELEMENTARY TEACHERS I (3).

Structure of number systems, integers, numeration systems, elementary number theory, decimals and real numbers, applications, basic algebraic concepts and metric and nonmetric geometry. Prerequisite: MAT 136 or MAT 137.

MAT 321. FUNDAMENTALS OF MATHEMATICS FOR ELEMENTARY TEACHERS II (3).

A study of probability, statistics, geometry, measurement, and applications with emphasis on use of technology to aid in computation. Prerequisite: MAT 320.

MAT 373, 374. INTRODUCTION TO MODERN ALGEBRA I, II (3,3).

Groups, rings, unique factorization domains, fields and Galois theory. Prerequisite: MAT 266.

MAT 375. DIFFERENTIAL EQUATIONS (3).

Solutions of differential equations of the first and second order, singular solution, linear equations with constant coefficients, introduction to special methods for equations of higher order and physical applications. Prerequisite: MAT 266.

MAT 376. NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS (3).

Error analysis, numerical solutions of nonlinear equations, numerical integration and differentiation, polynomial interpolation, solution of linear systems and introduction to spline functions. Laboratory work includes use of computers to solve a variety of problems. Prerequisites: MAT 267 and a knowledge of Fortran, Pascal or “C.”

MAT 401. ADVANCED CALCULUS (3).

Topics include differentiation and integration of integrals depending on a parameter; transformations and the implicit function theorem; change of variables in multiple integrals; and vector analysis and the theorems of Gauss, Green and Stokes. Prerequisite: MAT 267.

MAT 410. INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS (3).

Topics include problems in science and engineering described by partial differential equations; classification of partial differential equations and examples; general methods of solution of selected elliptic equations; general methods of solution of parabolic equations; general methods of solution of hyperbolic equations; four series and their applications in partial differential equations; and engineering applications of PDEs. Prerequisites: MAT 375 and MAT 251.

MAT 425. OPERATIONS RESEARCH (3).

Systems of inequalities and the objective function; the general problems of linear programming; maximums/minimization of the objective function by simplex algorithm duality and sensitivity analysis; transportation models; and networks. Prerequisite: MAT 251.

MAT 430. MATHEMATICS OF COMPOUND INTEREST (3).

Nominal and effective rates of interest and discount, force of interest, accumulated value factors and present value factors; annuities certain, including continuous annuities, increasing and decreasing annuities, in which the payment frequency is not the same as the frequency at which interest is compounded and perpetuities; amortization schedules and sinking funds, including the determination of outstanding principal, split of payments into principal and interest, and the determination of required period payment; bonds and related securities, including bound price formula, bound accounting and the split of periodic payment into the amortization and interest. Determination of fund yield rates and effective rates of return using time-weighted and dollarweighted methods. Prerequisite: MAT 267.

MAT 431. MATHEMATICS OF DEMOGRAPHY (3).

Conventional and adjusted measures of mortality, measure of fertility and morbidity; demographic characteristics and trends in Canada and the United States; evaluation of demographic data; mathematics of population projection; mathematics of stable and stationary population; and introduction to the applications of demographic characteristics and trends. Prerequisites: MAT 267, MAT 375.

MAT 470. DESIGN AND ANALYSIS OF EXPERIMENTS (3).

Statistical design and analysis of experiments and experimental models in mathematics using regression and analysis of variance. Prerequisites: MAT 225, MAT 267.

MAT 471. ELEMENTARY STOCHASTIC PROCESSES (3).

Review of basic probability theory; introduction to Markov processes; Poisson processes; birth and death processes; and Brownian motion processes. Prerequisites: MAT 375, MAT 472.

MAT 472, 473. PROBABILITY AND STATISTICS (3,3).

Review of summations and applications, probability theory, functions in simple (discrete), descriptive statistics and application, functions in sample space (continuous, stochastic processes, statistical models and inference) and applications. Prerequisite: MAT 267.

MAT 484. MODERN GEOMETRY (3).

The nature of geometry, classification of geometrics, elementary transformations, inversions, projective properties, properties of the circle and conics. Prerequisite: MAT 266.

MAT 486. INTRODUCTION TO REAL ANALYSIS (3).

A rigorous development of real analysis in Euclidean space; sequences and series, limits, continuous functions, derivatives; basic point set topology; especially recommended for students who intend to take graduate work in mathematics. Prerequisite: MAT 267.

MAT 487. SENIOR SEMINAR (3).

Prerequisite: Approved senior standing. May be taken more than once.

MAT 490. TOPICS IN APPLIED MATHEMATICS (3).

Selected topics in applied mathematics determined by instructor. May be repeated for credit. Prerequisite: MAT 486.

MAT 491. RESEARCH AND INDEPENDENT STUDY (3-5).

Independent study under faculty direction; the study may involve research, readings or other projects.

MAT 495. HISTORY OF MATHEMATICS SEMINAR (3).

Selected topics in the historical development of mathematics; with departmental approval, this course may be repeated for credit. Prerequisite: senior standing.

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