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Undergraduate Mathematics

2003 Spring Term

Class Schedule

MATHEMATICAL IDEAS

MATH 140

Designed to give students a broad understanding and appreciation of mathematics. Includes topics not usually covered in a traditional algebra course. Topics encompass some algebra, problem solving, counting principles, probability, statistics, and consumer mathematics. This course is designed to meet the University Proficiency Requirement in mathematics for those students who do not wish to take any course which has MATH 141 as a prerequisite. ACT Math subscore 21-23 (SAT 530-569)

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INTERMEDIATE ALGEBRA

MATH 141

Introduction to college algebra. Topics and concepts extend beyond those taught in a beginning algebra course. A proficiency course for those who have not had sufficient preparation in high school to allow them to take MATH 143 or MATH 152. ACT Math subscore 21-23 (SAT 530-569)

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FINITE MATHEMATICS FOR BUSINESS AND SOCIAL SCIENCES

MATH 143

Mathematical preparation for the understanding of various quantitative methods in modern management and social sciences. Topics included are sets, relations, linear functions, interest, annuities, matrix theory, the solution of linear systems by the graphical, algebraic, Gauss-Jordan, and inverse methods, linear programming by graphical and simplex methods, counting and probability, and decision theory. College of Business and Economics majors must take this course on a conventional grade basis.

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MATHEMATICS FOR THE ELEMENTARY TEACHER I

MATH 148

A study of sets, whole numbers, fundamental operations of arithmetic, fundamental algorithms and structural properties of arithmetic, fractions, problem solving and introduction to inductive and deductive logic stressing the structure of mathematics. All students will prepare a mathematics based activity and present it at an area elementary school. For elementary education prekindergarten-6 and elementary education elementary/middle school emphasis students.

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MATHEMATICS FOR THE ELEMENTARY TEACHER II

MATH 149

Selected topics in logic. The computer as a useful tool in mathematical explorations is introduced and applied throughout the course. Topics in probability and statistics, with emphasis on descriptive techniques. Investigations in geometric figures, measurement, construction, congruent and similar geometric figures. An introduction to coordinate geometry. Problem solving, discovery, and student projects are emphasized throughout. All students will prepare a mathematics based activity and present it at an area elementary school.

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ELEMENTARY FUNCTIONS

MATH 152

Review of algebraic functions, inequalities, mathematical induction, theory of equations, exponential and logarithmic functions, circular functions, trigonometric identities and equations, inverse trigonometric functions, solution of triangles.

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THE LOGIC OF CHESS

MATH 177

A study of logic particularly as it is used in the game of chess and, most particularly, in chess strategy and the end game of chess. The rules are taught to those who are not already acquainted with the game.

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INTRODUCTORY STATISTICS

MATH 230

A pre-calculus course in statistics. Descriptive statistics, probability distributions, prediction, hypothesis testing, correlation, and regression. This course does not count towards a mathematics major or minor in either liberal arts or secondary education or towards a mathematics minor in elementary education. This course may not be taken for credit if credit has been or is being earned in any other statistics course.

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SHORT CALCULUS FOR BUSINESS AND SOCIAL SCIENCES

MATH 243

A general survey of the Calculus. Topics covered include limits, differentiation, max-min theory, exponential and logarithmic functions, integration and functions of several variables. As in 760-143, business and social science applications are stressed. College of Business and Economics majors must take this course on a conventional grade basis.

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APPLIED CALCULUS SURVEY FOR BUSINESS AND SOCIAL SCIENCES

MATH 250

An applied calculus course covering elementary analytic geometry, limits, differentiation, max-min theory, transcendental functions, integration, functions of several variables, and elementary differential equations. Some computer topics may be included. College of Business and Economics majors must take this course on a conventional grade basis.

Class Schedule

CALCULUS AND ANALYTIC GEOMETRY I

MATH 253

Review of algebraic and trigonometric functions, study of the derivative, techniques of differentiation, continuity, applications of the derivative, the Riemann integral, applications of the integral. Conventional grade basis only if course is required in the College of Business for major.

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CALCULUS AND ANALYTIC GEOMETRY II

MATH 254

Transcendental functions, techniques of integration, improper integrals, L'Hospital's Rule and indeterminate forms, infinite series, polar coordinates and conic sections. This course includes a writing component.

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CALCULUS AND ANALYTIC GEOMETRY III

MATH 255

Solid analytic geometry, vectors and vector functions, functions of several variables, multiple integrals and their applications.

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DISCRETE MATHEMATICS

MATH 280

This course will supply a thorough grounding in the mathematical topics which are central to the study of computer science, and which form the basis for many modern applications of mathematics to the social sciences. Topics covered will include sets, logic, Boolean algebra and switching circuits, combinatorics, probability, graphs, trees, recursion, and algorithm analysis. Expressing mathematical ideas and writing proofs will be emphasized.

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SPATIAL ANALYSIS

MATH 290

Presentation and interpretation of data, use descriptive statistics and measures of spatial patterns, introduction to statistical inference and measures of association, with particular reference to geographic examples. Students will become proficient in using computers to achieve these skills.

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COLLEGE GEOMETRY

MATH 353

The topics included in this course are foundations of Euclidean geometry, Euclidean transformational geometry, modern synthetic geometry that builds on Euclidean geometry, selected finite geometries, and an introduction to non-Euclidean and projective geometry, including their relationship to Euclidean geometry. Although the course is adapted to the prospective teacher of geometry, it will also meet the needs of those in other majors needing a background in geometry. Standards and guidelines of appropriate national and local bodies will be implemented.

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MATRICES AND LINEAR ALGEBRA

MATH 355

Systems of linear equations, matrices and determinants, finite dimensional vector spaces, linear dependence, bases, dimension, linear mappings, orthogonal bases, and eigenvector theory. Applications stressed throughout.

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MATHEMATICAL MODELING & STATISTICS

MATH 359

An introduction to mathematical modeling and descriptive statistics. Students will develop the basic skills of formulation, simplification, and analysis of mathematical models for describing and predicting physical phenomena. The basic tools of descriptive statistics will also be introduced; the use of descriptive statistics in formulating and interpreting mathematical models will be emphasized.

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DIFFERENTIAL EQUATIONS

MATH 361

Ordinary differential equations: general theory of linear equations, special methods for nonlinear equations including qualitative analysis and stability, power series and numerical methods, and systems of equations. Additional topics may include transformation methods and boundary value problems. Applications stressed throughout.

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LINEAR PROGRAMMING

MATH 365

A study of the vector-matrix theory and computational techniques of the simplex method, duality theorem, degeneracy problem, transportation problems and their applications to engineering and economics. Machine solution of large linear programming problems.

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PRE-ALGEBRA

MATH 40

A course for students who need a review of basic mathematics or who lack the computational skills required for success in algebra and other University courses. Topics include fractions, decimals, percent, descriptive statistics, English and metric units of measure, and measures of geometric figures. Emphasis is on applications. A brief introduction to algebra is included at the end of the course. This course does count toward the semester credit load and will be computed into the grade point average. It will not be included in the 120 credits required for graduation. It may be taken for a conventional grade or on a satisfactory/no credit basis. Not available to students who have satisfied the University Proficiency requirement in mathematics. ACT Math subscore 17 or below (SAT 210-459)

Class Schedule

BEGINNING ALGEBRA

MATH 41

A course for those who have a sound background in basic arithmetic, but who have not been exposed to algebra, or who need to strengthen their basic algebra skills. Topics include properties of the real numbers, linear and quadratic equations, linear inequalities, exponents, polynomials, rational expressions, the straight line, and systems of linear equations. The course counts towards the semester credit load and will be computed into the grade point average. It will not, however, be included in the credits necessary for graduation. It may be taken for a conventional grade or on a satisfactory/no credit basis. Prereq: MATH 040 or equivalent demonstration of capability. Students cannot receive credit for MATH 041 if they have been waived from the Mathematics Proficiency Requirement. Not available to students who have satisfied the University Proficiency requirement in mathematics.

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MODERN ALGEBRA AND NUMBER THEORY FOR THE ELEMENTARY TEACHER

MATH 415

An introduction to modern algebra with special emphasis on the number systems and algorithms which underlie the mathematics curriculum of the elementary school. Topics from logic, sets, algebraic structures, and number theory.

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THEORY OF NUMBERS

MATH 417

A study of the properties of integers, representation of integers in a given base, properties of primes, arithmetic functions, module arithmetic. Diophantine equations and quadratic residues. Consideration is also given to some famous problems in number theory.

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MATHEMATICAL STATISTICS

MATH 442

This course will cover moment generating functions, moments of linear combinations of random variables, conditional expection, functions of random variables, sampling distributions, the theory of estimation, Bayesian estimation, hypothesis testing, nonparametric tests, and linear models.

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ACTUARIAL MATHEMATICS

MATH 446

This course will discuss the actuarial profession and the insurance industry, provide direction to students wishing to take the first few actuarial examinations, thoroughly cover the theory of interest, and introduce the basic concepts of actuarial mathematics.

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INTRODUCTION TO ABSTRACT ALGEBRA

MATH 452

An introductory survey of abstract algebra and number theory with emphasis on the development and study of the number systems of integers, integers mod n, rationals, reals, and complex numbers. These offer examples of and motivation for the study of the classical algebraic structures of groups, rings integral domains and fields. Applications to algebraic coding theory and crystallography will be developed if time allows.

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APPLIED MATHEMATICAL ANALYSIS I

MATH 458

Selected topics in ordinary differential equations: series solutions, stability, transform methods, special functions, numerical methods, vector differential calculus, line and surface integrals.

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MATHEMATICAL WAVES PROPAGATION THEORY AND APPLICATIONS

MATH 483

This course will address the fundamental theory and applications of mathematical wave propagation. Students will be exposed to the scalar, vector, and tensor wave nature of matter. In addition, the course will introduce diverse techniques of linear and non-linear modeling of natural occurrences and their role in understanding mathematical inversion. Applications from earth system and space sciences will be studied throughout the course.

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INDEPENDENT STUDY

MATH 498

Study of a selected topic or topics under the direction of a faculty member. Repeatable. Department Consent required.

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PROJECT FOR MAJORS

MATH 499

This course is designed to give students experience and to improve their skill in reading, writing, and understanding mathematics by requiring them to research one or more mathematical topics and then write a report about their activities and discoveries. The focus is on the learning and communication of mathematics: how to read with understanding, write with clarity and precision, and in the process discover how writing can aid in understanding.