MATHEMATICS

Courses

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MATHEMATICS (MATH)

A student must meet the college entrance requirements in mathematics before enrolling in a mathematics course numbered above 100. Students who do not meet these requirements may take MDEV 001, MDEV 002 and/or MDEV 003 as needed.

MATH 105 MATHEMATICS WITH APPLICATIONS	4
Introduction to mathematics, including algebraic concepts, permutations, combinations, probability, descriptive statistics, and computer applications. Designed to meet the general studies requirement for the baccalaureate degree but will not apply toward a major or minor in mathematics.

MATH 112, 113 MATHEMATICS FOR ELEMENTARY TEACHERS	3, 3
Study of topics in mathematics, including number theory, geometry, numeration, number systems, graphs, algebra, statistics, measurements, and computer programming. Designed to meet the general studies requirement for the baccalaureate degree. Will not apply toward a major or minor in mathematics. Must be taken in sequence.

MATH 117 PRECALCULUS	5
Introduction to college algebra and trigonometry including equations and inequalities; algebraic, exponential, logarithmic, and trigonometric functions; graphs; and complex numbers. Credit will not be allowed for both MATH 117 and MATH 121 or 122. Prerequisite: A satisfactory score on a departmental placement examination or MDEV 003. Algebra II strongly recommended.

MATH 121, 122 FUNDAMENTALS OF MATHEMATICS I, II

4, 4

Study of college algebra and trigonometry including integers; rational, real, and complex numbers; equations and inequalities; polynomials; algebraic, exponential, logarithmic, and trigonometric functions; graphs; the binomial theorem; matrices; determinants; progressions; and mathematical induction. Credit will not be allowed for both MATH 117 and MATH 121 or 122. Prerequisite: A satisfactory score on a departmental placement examination or MDEV 003. Algebra II strongly recommended.

MATH 123 SURVEY OF CALCULUS	4
Introduction to calculus, including topics such as functions, limits, derivatives, and integration in one or more variables; applications from business and social sciences. Does not apply toward a major or minor in mathematics. Credit will not be allowed for both MATH 123 and MATH 181. Prerequisite: MATH 117 or 121 or a satisfactory score on a departmental placement examination.

MATH 181 ANALYTIC GEOMETRY AND CALCULUS I	4
Study of functions, limits, continuity, derivatives, definite integrals, and the Fundamental Theorem of Calculus. Credit will not be allowed for both MATH 123 and MATH 181. Prerequisite: MATH 117 or 122 or a satisfactory score on a departmental placement examination.

MATH 206 APPLIED STATISTICS	4
Study of applied statistics, including methods of describing data, distributions, sampling, confidence intervals, hypothesis testing including analysis of variance, correlation and regression. Designed to meet the general studies requirements for the baccalaureate degree, but will not apply toward a major or minor in mathematics.

MATH 250 DISCRETE MATHEMATICS	4
Introduction to discrete mathematical structures. Topics include combinatorics, sets, recursion, and graph theory. Prerequisite: MATH 123 or 181.

MATH 281 ANALYTIC GEOMETRY AND CALCULUS II	4
Study of indefinite integrals, calculus of inverse functions, and techniques and applications of integration. Prerequisite: MATH 181.

MATH 282 ANALYTIC GEOMETRY AND CALCULUS III	4
Study of sequences, series, polar coordinates, parametric equations, and vectors. Prerequisite: MATH 281.

MATH 283 ANALYTIC GEOMETRY AND CALCULUS IV	4
Study of differential and integral calculus of multi-variable functions, line and surface integrals, Green's theorem, divergence theorem, and Stokes' theorem. Prerequisite: MATH 282.

MATH 289 LINEAR ALGEBRA AND ITS APPLICATIONS	3
Study of matrices and determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, with applications. Prerequisite: MATH 123 or 181.

MATH 312 ORDINARY DIFFERENTIAL EQUATIONS	4
Study of solutions of first order differential equations, solutions of linear differential equations of order n, applications, linear systems, and series solutions. Prerequisite: MATH 283.

MATH 315 PROBABILITY AND STATISTICS	4
Study of probability, discrete and continuous probability density functions, moments, sampling, correlation, regression, confidence intervals, and hypothesis testing. Prerequisite: MATH 283.

MATH 316 STATISTICS	3
Study of multiple linear regression, analysis of variance, contingency tables, goodness-of-fit, nonparametric statistics, correlation and discriminant analysis, and Bayesian decision-making. Prerequisite: MATH 315. Offered even years only.

MATH 321 GEOMETRY	4
Study of geometries, concentrating on Euclidean, non-Euclidean, and projective geometries; examination of axiomatic foundations and qualitative study of the geometries; considers briefly Mohr-Mascheroni constructions and impossible constructions. Prerequisite: MATH 281 and permission of instructor. Offered even years only.

MATH 341 NUMERICAL ANALYSIS	4
Study of numerical methods with computer applications; topics include numerical solutions of nonlinear equations, systems of equations, ordinary differential equations, interpolation, and numerical integration. Prerequisites: CPTR 141 ; MATH 289. Corequisite: MATH 312.

MATH 351 OPERATIONS RESEARCH	4
Introduction to deterministic models in operations research; includes linear programming, network analysis, dynamic programming, and game theory. Prerequisites: CPTR 141; MATH 283; MATH 289 or permission of instructor. Offered odd years only.

MATH 423 INTRODUCTION TO THE THEORY OF COMPLEX VARIABLES	4
COMPLEX VARIABLES Study of functions of a complex variable, the geometry of elementary functions, integration, power series, calculus of residues, and conformal mapping. Prerequisite: MATH 283. Offered odd years only.

MATH 431, 432 MATHEMATICAL PHYSICS (OR PHYS 431, 432)

3, 3

In-depth study of the mathematical foundations of physics and their applications to physical problems. Particular attention is paid to the theory of linear vector spaces in developing tensor analysis group theory and Hilbert Space theory. This course is recommended for students planning to attend graduate school in physics, or having a strong interest in the applications of mathematics to the physical world. Will be offered 1997-98.

MATH 442 ADVANCED NUMERICAL ANALYSIS	4
Study of curve fitting, approximation of functions, Monte Carlo methods, boundary value problems, and partial differential equations. Prerequisite: MATH 341. Offered even years only.

MATH 451, 452, 453 ADVANCED CALCULUS	3, 3, 3
Study of functions of one and several variables including continuity, differentiation, integration, infinite series, uniform convergence, and selected topics. Prerequisite: MATH 283. Offered odd years only.

MATH 461, 462, 463 ABSTRACT ALGEBRA	4, 4, 4
Study of groups, rings, fields, vector spaces, linear transformations, selected topics, and applications. Prerequisite: MATH 289. Offered even years only.

MATH 494 COOPERATIVE EDUCATION	0
Individual contract involving students, faculty, and cooperating employers which provides the student with practical experiences in an off-campus setting. Graded S or NC. Prerequisites: MATH 283, CDEV 210 or equivalent, and departmental approval.

MATH 496 SEMINAR	1
Includes giving an oral report and writing a scholarly paper on an approved mathematical topic. Prerequisite MATH 451 or 461. Open to Junior/Senior mathematics majors only.

DEVELOPMENTAL MATHEMATICS (MDEV)

MDEV 001 ELEMENTARY ALGEBRA	4
Designed for students who enter college without having met the mathematics entrance requirement of a one-year course in high school algebra. Topics include fractions, radicals, factoring, linear and quadratic equations and graphing. Credit does not apply toward graduation, nor toward financial aid minimum or for students seeking VA benefits.

MDEV 002 ELEMENTARY GEOMETRY	4
Designed for students who enter college without having met the mathematics entrance requirement of a one-year course in high school geometry. Topics include angles, polygons, circles, and triangles. Concepts and techniques of proof are integrated into this course. Credit does not apply toward graduation, nor toward financial aid minimum or for students seeking VA benefits.

MDEV 003 INTERMEDIATE ALGEBRA	4
Review of high school algebra, including topics such as sets, numbers, exponents, polynomials, factoring rational algebraic expressions, graphs, first and second degree equations, and inequalities. Credit does not apply toward graduation or for students seeking VA benefits.

MATHEMATICS EDUCATION (MEDU)

MEDU 395 METHODS OF TEACHING MATHEMATICS	3
Methods, materials, and techniques of teaching mathematics on the secondary school level; requires observation, demonstration, and class presentation. Will not apply toward General Studies or toward a major or minor in mathematics. Offered odd years only.

MEDU 401 PROBLEM SOLVING

Study of problem solving methods, particularly as applied in the classroom. Emphasizes problem solving skills and realistic applications of mathematics. Computer usage will be integrated with material chosen from the following; alegbra, geometry, discrete mathematics, probability, number theory, optimization. Prerequisite: MATH 105, or 113, or equivalent. Will not apply toward General Studies or toward a major or minor in mathematics. Offered odd years only, Summer quarter.

MEDU 402 STATISTICAL METHODS

Study of statistical methods, emphasizing confidence intervals, regression, correlation, analysis of variance, and chi-square. Some descriptive statistics and elementary probability will be included as a basis for the inferential statistics. Credit will not be allowed for both MATH 206 and MEDU 402. Prerequisite: MATH 105, or 113, or equivalent. Will not apply toward General Studies or toward a major or minor in mathematics. Offered even years only, Summer quarter.

MATHEMATICS