MATH COURSE DESCRIPTIONS

MATH 040     PRE-ALGEBRA         3 u
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 units 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.
Unreq: MATH 140 or MATH 141

 MATH 041     BEGINNING ALGEBRA         4 u
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 units 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. Unreq: MATH 140 or 760 141.

MATH 140     MATHEMATICAL IDEAS   (Proficiency)         3 u
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.
Prereq: Satisfactory completion of MATH 041, with a grade of C or better, or demonstration of equivalent capability. This course cannot be taken for credit after completing any mathematics course above 141.

 MATH 141     INTERMEDIATE ALGEBRA (Proficiency)         4 u
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. Students may not take for credit any course for which they have received a waiver, nor may they take for credit any course in the same department that is a prerequisite for a course that has been waived (e.g., if a student has been waived from Math 143, he may not take Math 141 for credit).
Prereq: Satisfactory completion of MATH 041 with a grade of C or better, or demonstration of equivalent capability.
Unreq: MATH 140 OR MATH 141B

 MATH 143     FINITE MATHEMATICS FOR BUSINESS AND SOCIAL SCIENCES        GM         3 u
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.
Prereq: Waiver of or a grade of C or better in MATH 141.

 MATH 148   MATHEMATICS FOR THE ELEMENTARY TEACHER I     GM         3 u
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.
Prereq: A grade of C or better in MATH 141 or MATH 141B or a waiver from the university mathematics proficiency requirement.

 MATH 149     MATHEMATICS FOR THE ELEMENTARY TEACHER II        3 u
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.
Prereq: MATH 148 with a grade of C or better.

 MATH 152     ELEMENTARY FUNCTIONS GM         5 u
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.
Prereq: Waiver of or a grade of C or better in MATH 141.

 MATH 177     THE LOGIC OF CHESS         1 u
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.
Prereq: Fulfillment of University Proficiency requirement in mathematics.

 MATH 230     INTRODUCTORY STATISTICS GM         3 u
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.
Prereq: Waiver or a grade of C or better in MATH 141. Unreq: Any other statistics course.

 MATH 231     UNDERSTANDING PROBABILITY AND STATISTICS     GM         3 u
A pre-calculus course in probability and statistics. Descriptive statistics, classical probability, probability distributions, prediction, parametric and nonparametric hypothesis testing, correlation, regression, and use of some statistical software. This course does not count towards a mathematics major or minor in liberal arts or towards a mathematics major in secondary education. This course may not be taken for credit if credit has been or is being earned in any other statistics course.
Prereq: Completion, with a grade of C or better, of either MATH 143 or MATH 152. Unreq: Any other statistics course.

 MATH 243     SHORT CALCULUS FOR BUSINESS AND SOCIAL SCIENCES     GM         3 u
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 MATH 143, business and social science applications are stressed. College of Business and Economics majors must take this course on a conventional grade basis.
Prereq: Completion with a grade of C or better in either of the courses MATH 143 or MATH 152. Unreq: MATH 250. Students should check with their major department for advice on whether to take MATH 243 or MATH 250.

 MATH 250     APPLIED CALCULUS SURVEY FOR BUSINESS AND THE SOCIAL SCIENCES    GM         5 u
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.
Prerequisite: MATH 143, with a grade of C or better, or equivalent preparation as determined by the Mathematics Department. Unreq: MATH 243, MATH 253.

 MATH 253     CALCULUS AND ANALYTIC GEOMETRY I     GM         5 u
Review of algebraic and trigonometric functions, transcendental functions, limits, study of the derivative, techniques of differentiation, continuity, applications of the derivative, L' Hospital's Rule and indeterminate forms, the Riemann integral, Fundamental Theorem of Calculus, substitution rule.  Conventional grade basis only if course is required in the College of Business for major.
Prereq: MATH 152 or equivalent high school preparation as determined by the Mathematics Department. Unreq: MATH 243 and MATH 250.

 MATH 254     CALCULUS AND ANALYTIC GEOMETRY II       5 u
Techniques of integration, applications of the integral, introduction to differential equations, polar coordinates and conic sections, infinite sequences and series. This course includes a writing component.
Prereq: MATH 250 with a grade of B or better, or MATH 253.

 MATH 255     CALCULUS AND ANALYTIC GEOMETRY III        3 u
Solid analytic geometry, vectors and vector functions, functions of several variables, multiple integrals and their applications.
Prereq: MATH 254.

 MATH 280     DISCRETE MATHEMATICS         3 u
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.
Prereq: MATH 250 with a grade of C or better, or MATH 253.

MATH 290     SPATIAL ANALYSIS         3 u
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.
Prereq: MATH 143

MATH 301     INTRODUCTION TO ANALYSIS         3 u
The main emphasis of this course is to introduce students to mathematical proofs. Students will learn to read and write proofs in mathematics by writing proofs of theorems about limits, sets of real numbers, and continuous functions. If time permits, other topics may include derivative and integration theorems, theory of open and closed sets, and cardinality of sets.
Prereq: MATH 255 and MATH 280

 MATH 342/542     APPLIED STATISTICS         3 u
This course will cover the basics of statistical testing, regression analysis, experimental design, analysis of variance, and the use of computers to analyze statistical problems.
Prereq: MATH 253 or MATH 250 or cons instr. Unreq: ECON 245.

 MATH 353     COLLEGE GEOMETRY         5 u
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.
Prereq: MATH 253 and MATH 280 or consent of instructor.

 MATH 355/555     MATRICES AND LINEAR ALGEBRA         3 u
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.
Prereq: MATH 250 or MATH 253.
 
 

MATH 359     MATHEMATICAL MODELING & STATISTICS         3 u
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.
Prereq: MATH 255 or consent of instructor.

 MATH 361     DIFFERENTIAL EQUATIONS         3 u
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.
Prereq: MATH 255.

MATH 365/565     LINEAR PROGRAMMING         3 u
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.
Prereq: COMPSCI 171 and MATH 355.

 MATH 375/575     DEVELOPMENT OF MATHEMATICS         3 u
A study of the development of mathematical notation and ideas from prehistoric times to the present. Periods and topics will be chosen corresponding to the backgrounds and interests of the students.
Prereq: MATH 152 or cons instr.

 MATH 380/580     PATTERNS OF PROBLEM SOLVING         3 u
This course will expose students to a variety of techniques useful in solving mathematics problems. The experiences gained from this course can be applied to problems arising in all fields of mathematics. The student will have the chance to see how some general techniques can be used as tools in many areas. Homework for this course will consist mostly of solving a large number of mathematics problems. Consent will be given to students with substantial interest in problem solving, and adequate preparation.
Prereq: MATH 280 or cons instr.

 MATH 415/615     MODERN ALGEBRA AND NUMBER THEORY FOR THE ELEMENTARY TEACHER        3 u
 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.
Prereq: MATH 112 and MATH 152. Unreq: MATH 452.

 MATH 416/616     GEOMETRY FOR THE ELEMENTARY TEACHER        3 u
A study of the intuitive, informal geometry of sets of points in space. Topics include elementary constructions, coordinates and graphs, tessellations, transformations, problem solving, symmetries of polygons and polyhedra, and use of geometry computer software.
Prereq: MATH 112 and MATH 152

 MATH 417/617     THEORY OF NUMBERS         3 u
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.
Prereq: MATH 280 or MATH 415 or cons instr.

 MATH 431/631     TOPOLOGY         3 u
An introduction to point-set topology, including such topics as topological spaces, mappings, connectedness, compactness, separation axioms, metric spaces, complete spaces, product spaces and function spaces.
Prereq: MATH 255 and either MATH 280 or cons instr.

 MATH 441/641     PROBABILITY THEORY         3 u
Probability spaces, discrete and continuous random variables, mathematical exception, discrete and continuous distributions.
Prereq: MATH 255 and either MATH 280 or cons instr.

 MATH 442/642     MATHEMATICAL STATISTICS         4 u
This course will cover moment generating functions, moments of linear combinations of random variables, conditional expectation, functions of random variables, sampling distributions, the theory of estimation, Bayesian estimation, hypothesis testing, nonparametric tests, and linear models.
Prereq: MATH 441 and either MATH 355 or cons instr.

 MATH 446/646     ACTUARIAL MATHEMATICS         3 u
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.
Prereq: MATH 441 or concurrent registration

 MATH 452/652     INTRODUCTION TO ABSTRACT ALGEBRA        3 u
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.
Prereq: MATH 280.
Unreq: MATH 415.

 MATH 453/653     ABSTRACT ALGEBRA         3 u
This course is a continuation of MATH 452/652 with emphasis on ring and field theory. Topics include a review of group theory, polynomial rings, divisibility in integral domains, vector spaces, extension fields, algebraic extension fields, finite fields, etc.
Prereq: MATH 355 and MATH 452.

 MATH 458/658     APPLIED MATHEMATICAL ANALYSIS I        3 u
Selected topics in ordinary differential equations: series solutions, stability, transform methods, special functions, numerical methods, vector differential calculus, line and surface integrals.
Prereq: MATH 361.

 MATH 459/659     PARTIAL DIFFERENTIAL EQUATIONS         3 u
Fourier analysis, partial differential equations and boundary value problems, complex variables, and potential theory.
Prereq: MATH 361.

MATH 463     COMPLEX VARIABLES         3 u
This course is a study of the algebra and geometry of complex numbers, the properties of analytic functions, contour integration, the calculus of residues, and the properties of power series.
Prereq: MATH 255

 MATH 464/664     ADVANCED CALCULUS I         3 u
This course presents a rigorous treatment of the differential and integral calculus of single variable functions, convergence theory of numerical sequences and series, uniform convergence theory of sequences and series of functions, metric spaces, functions of several real variables, and the inverse function theorem. This course contains a writing component.
Prereq: MATH 301.

 MATH 471/671     NUMERICAL ANALYSIS I         3 u
Emphasis on numerical algebra. The problems of linear systems, matrix inversion, the complete and special eigenvalue problems, solutions by exact and iterative methods, orthogonalization, gradient methods. Consideration of stability and elementary error analysis. Extensive use of microcomputers and programs using a high level language, such as PASCAL.
Prereq: COMPSCI 171 and MATH 355.

MATH 473     LIGHTNING RADIATIVE TRANSFER         4 u
This course will introduce the students to the field of Mathematical Lightning Radiative Transfer. It will provide the students with the background needed to analyze lightning events and to discriminate cloud to ground discharges from intra-cloud discharges. In addition, this course will introduce the students to the area of Ground Detection of Lightning.
Prereq: MATH 361 and PHYSICS 174 or consent of instructor.

MATH 475     DATA INTERPRETATION OF SPACE SCIENCE        3 u
This course will continue the study of Mathematical Space Science. The course will teach and train students on how to read and interpret data from Space and ground instruments. Students will learn how to access and work with satellite data.
Prereq: MATH 361 and COMPSCI 171 or consent of instructor.

MATH 477     MATHEMATICAL SCATTERING THEORY AND APPLICATIONS       3 u
This course will address the fundamental theory and applications of mathematical scattering. Students will be exposed to the scalar, vector, and tensor scattering. In addition, the course will introduce the students to diverse techniques of statistical and mathematical scattering inversion. Applications from earth system and space sciences will be studied throughout the course.
Prereq: MATH 458, MATH 459, MATH 463 AND PHYSCS 322 or consent of instructor.

MATH 483     MATHEMATICAL WAVES  PROPAGATION THEORY AND APPLICATIONS       3 u
 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.
Prereq: MATH 458, MATH 459, MATH 463 AND PHYSCS 322 or consent of instructor.

 MATH 490/690     WORKSHOP         1-3 u
Repeatable. Prereq: Consent of instructor.

 MATH 492     FIELD STUDY         1-3 u
A study for which data is obtained or observations are made outside the regular classroom. Repeatable.
Prereq: Consent of instructor.

MATH 494/694     SEMINAR         2 u
Repeatable. Prereq: Consent of instructor.

 MATH 496/696     SPECIAL STUDIES         1-3 u
Repeatable three times maximum in 6 years. Prereq: Consent of instructor.

MATH 498     INDEPENDENT STUDY         1-3 u
Repeatable. Prereq: Consent of instructor and consent of department chairperson.

 MATH 499         PROJECT FOR MAJORS         1 u
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.
Prereq: Jr st or cons dept chp. 
 
 
 

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