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| 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.
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| 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.
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| 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.
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| 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.
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| 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.
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| 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. A graphing calculator is required.
For specific recommendations see the Department of Mathematics World
Wide Web site
(http://www.wwc.edu/academics/departments/mathematics).
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| 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.
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| MATH 250 DISCRETE MATHEMATICS | 4 |
Introduction to discrete mathematical structures. Topics include
combinatorics, sets, recursion, and graph theory. Prerequisite:
MATH 123 or 181.
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| 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. A graphing calculator is required. For specific
recommendations see the Department of Mathematics World Wide Web site
(http://w
ww.wwc.edu/academics/departments/mathematics).
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| MATH 282 ANALYTIC GEOMETRY AND CALCULUS III | 4 |
Study of sequences, series, polar coordinates, parametric equations,
and vectors. Prerequisite: MATH 281. A
graphing calculator is required. For specific recommendations see the
Department of Mathematics World Wide Web site (
http://www.wwc.edu/academics/departments/mathematics).
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| MATH 283 ANALYTIC GEOMETRY AND CALCULUS IV | 4 |
Study of differential and integral calculus of multi-variable
functions, line and surface integrals, GreenŐs theorem, divergence
theorem, and StokesŐ theorem. Prerequisite:
MATH 282.
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| 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.
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| 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.
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| 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.
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| 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.
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| 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.
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| 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.
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| 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.
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| MATH 360 AN INTRODUCTION TO THE HISTORY OF MATHEMATICS | 4 |
Introduction to the history of mathematics from the beginning of
hieroglyphic writing in Egypt and cuneiform in Mesopotamia to the
influence of computers in the 20th century. Topics will include
ancient mathematics, geometry and algebra from Greece, mathematics
from China, India, and Islam, medieval algebra and geometry,
mathematics from the Renaissance and the scientific revolution
including analytic geometry and calculus, analysis and algebra through
the 19th century, and topics from the 20th century. Prerequisite:
MATH 283 or permission of instructor. Offered even years
only.
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| MATH 423 COMPLEX ANALYSIS | 4 |
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.
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| 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. Offered odd years only.
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| 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.
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| 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.
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| 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.
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| 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, minimum cumulative GPA 2.75 in
college mathematics courses, minimum cumulative GPA of 2.75 in all
college courses, and departmental approval. Open only to mathematics
majors.
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| 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.
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| MDEV 003 INTERMEDIATE ALGEBRA WITH GEOMETRY | 5 |
Review of high school algebra and geometry including topics such as
exponents, polynomials, rational expressions, graphs, lines,
triangles, circles, and proofs. Credit does not apply toward
graduation or for students seeking VA benefits.
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| 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.
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| MEDU 401 PROBLEM SOLVING | 4 |
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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; algebra, 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.
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