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Mathematics(MT)
118. APPLIED MATHEMATICS 3 cr. Applications of mathematics
for liberal arts majors. May include matrix algebra, graphs and networks,
linear programming, Markov chains, games, voting systems, coding theory.
120. MATHEMATICS AND COMPUTING 3 cr. Mathematical modeling
using computer spreadsheets and programs. The course includes computer
familiarization, so no prior knowledge is required.
122. ELEMENTARY STATISTICS I 3 cr. Describing data by
graphs and measures, sampling distributions, confidence intervals and
tests of hypotheses for one and two means and proportions, Chi square
test, correlation and regression. Use of the statistical computer program
Minitab.
123. ELEMENTARY STATISTICS II 3 cr. Prerequisite: MT
122. Power analysis, factorial and repeated measures analysis of variance,
nonparametric procedures, contingency tables, introduction to multiple
regression. Use of the statistical computer program SPSS.
133-134. CALCULUS AND ANALYTIC GEOMETRY IA-IB 3 cr. each.
Placement by the Math Department. Sequence covers the same calculus topics
as MT 135 with algebra review integrated into the course as needed. The
MT 133-134 sequence will count as one course in Division IV of the Core,
but neither MT 133 nor MT 134 will count as a Core course individually.
Note: MT 133-134 will satisfy the MT 135 or equivalent prerequisites and
requirements listed throughout the Bulletin.
Academic credit will not be given for both MT 134 and MT 135.
135. CALCULUS AND ANALYTIC GEOMETRY I 4 cr. Prerequisite:
placement by Math Department. For all students of calculus. Overview of
limits, derivatives and integrals, with primary emphasis on intuitive
understanding. Logarithmic and exponential functions, multivariable calculus,
and analytic geometry. Science and business applications. (See “Note”
under MT 133-134 above.)
136. CALCULUS AND ANALYTIC GEOMETRY II 4 cr. Prerequisite:
MT 135 or equivalent. Second course in a three semester calculus sequence
for science and mathematics majors and other interested students. Reinforces
and extends the basic concepts of MT 135 through a more rigorous approach.
Focus on the theory and application of functions of one real variable,
including trigonometric and other transcendental functions.
160. MATHEMATICS AND CREATIVITY 3 cr. Mathematics and
the men and women who have contributed to it. Topics in modern mathematics
and examples of mathematical creativity, as well as the student’s
reaction to and thoughts on selected readings concerning the nature of
mathematics and mathematics as a creative art, are emphasized.
162. MATHEMATICS FROM NON-WESTERN CULTURES 3 cr. Introduction
to mathematics developed in non-Western and Native American societies
and illustrations of modern mathematical ideas within non-Western cultures.
171. FOUNDATIONS OF EARLY CHILDHOOD MATHEMATICS 3 cr.
Prerequisite: MT 160. Corequisite: MT 171L. Focus on understanding, from
an advanced standpoint, the mathematics taught in elementary school. Curriculum
issues, methods, instructional resources, and assessment strategies for
grades pre K through 3 will be addressed.
171L. FOUNDATIONS OF EARLY CHILDHOOD MATHEMATICS LAB 0 cr.
Corequisite: MT 171. Math teaching methods lab for students in the pre
K through 3 licensure program.
199. SPECIAL TOPICS IN MATH 1-3 cr. Subject announced
in schedule of classes.
228. STATISTICS FOR THE BIOLOGICAL SCIENCES 3 cr. Prerequisite:
MT 135 or equivalent. Exploratory data analysis, probability fundamentals,
sampling distributions and the central limit theorem, estimation and tests
of hypotheses through one-factor analysis of variance, simple linear regression,
and contingency tables using SPSS statistical software. Course content
in biology context.
233. CALCULUS AND ANALYTIC GEOMETRY III 4 cr. Prerequisite:
MT 136. Calculus of vector valued functions, infinite series, partial
differentiation, multiple and line integrals.
241. FOUNDATIONS OF MIDDLE SCHOOL MATHEMATICS 3 cr. Prerequisites:
MT 135, 160. For students seeking the license to teach mathematics in
grades 4-9. Reasoning and proof in mathematical sets, number systems,
functions, and binary operations. Students will learn to communicate mathematics,
to make connections among mathematical systems, and to construct valid
arguments and proofs.
251. TOPICS FROM MIDDLE SCHOOL MATHEMATICS 3 cr. Prerequisites:
MT 135, 160. For students seeking the license to teach mathematics in
grades 4 9. Metric geometry, synthetic and transformational geometry with
the use of dynamic geometry software; topics from discrete mathematics
such as counting techniques, probability, recursive processes, graphs
and networks.
330. INTRODUCTION TO ANALYSIS 3 cr. Prerequisite: MT
233. Rigorous mathematical treatment of the fundamental ideas of calculus:
sequences, limits, continuity, differentiation, and integration.
341. INTRODUCTION TO ABSTRACT ALGEBRA 3 cr. Prerequisite:
MT 136. Sets, equivalence relations, permutations, polynomial rings, and
groups, with emphasis on proof techniques.
342. INTRODUCTION TO LINEAR ALGEBRA 3 cr. Prerequisite:
MT 136. Algebra of matrices, linear systems, vector spaces, linear transformations,
eigenvectors, applications.
372. DISCRETE AND CONTINUOUS MODELING 3 cr. Prerequisite:
MT 233. Prerequisite or corequisite: MT 342. Topics include graphical
models; discrete dynamical systems; curve fitting; linear programming;
simulation; differential equations; Graph Theory.
379. MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 3 cr.
Prerequisites: CS 202; MT 136. Introduction to mathematical concepts relating
to computer science, including symbolic logic, proof techniques, probability,
and cryptography. Concepts and techniques used in higher level computer
science courses, including trees, graphs, searching techniques, matrix
manipulation, coordinate transformations, finite state automata, and parallelism.
420. PROBABILITY AND STATISTICS I 4 cr. Prerequisite:
MT 233. Combinatorial probability, discrete and continuous distributions,
simulation of sampling distributions and the central limit theorem, introduction
to data analysis, estimation and hypothesis testing; use of CAS and statistical
software.
421. PROBABILITY AND STATISTICS II 3 cr. Prerequisite:
MT 420. Mathematical treatment of estimation and hypothesis testing, including
one and two-factor analysis of variance, simple regression and correlation,
and nonparametric analyses.
422. APPLIED STATISTICS 3 cr. Prerequisites: MT 342,
420. Categorical data analysis, multiple regression, analysis of variance
of various designs, introduction to design of experiments. Use of statistical
software.
425. OPERATIONS RESEARCH 3 cr. Prerequisite: MT 342.
Linear programming, sensitivity analysis and duality, queuing theory,
and topics from networks, decision making, game theory, Markov chains,
dynamic programming, and simulation.
431. ADVANCED CALCULUS OF ONE VARIABLE 3 cr. Prerequisites:
MT 233, 341. Real-number system, limits, continuity, differentiability,
Riemann integral, properties of continuous and differentiable functions,
sequences and series of functions.
432. ADVANCED CALCULUS OF SEVERAL VARIABLES 3 cr. Prerequisites:
MT 233, 342. Development of and motivation for vector valued functions,
calculus of functions of several variables, implicit functions and Jacobians,
multiple integrals, line integrals.
436. INTRODUCTION TO COMPLEX ANALYSIS 3 cr. Prerequisite:
MT 341 or 342 or permission of department chair. Complex number plane,
analytic functions, integration of complex functions, sequences and series.
Residue theorem, evaluation of real integrals.
438. ORDINARY LINEAR DIFFERENTIAL EQUATIONS 3 cr. Prerequisites:
MT 233, 342. Linear equations and systems, existence and uniqueness theorems,
oscillation theory. Autonomous equations and systems, their solutions
and qualitative properties.
441. ABSTRACT ALGEBRA 3 cr. Prerequisite: MT 341. Groups,
rings, domains, fields, extension fields, introduction to Galois Theory.
442. LINEAR ALGEBRA 3 cr. Prerequisite: MT 342. Vector
spaces, linear transformations, characteristic values and applications.
450. EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY 3 cr. Prerequisite:
MT 341 or 342 or permission of department chair. Alternative ways of investigating
the Euclidean plane, including transformational geometry; examination
of the parallel postulate and how it can be changed to create new geometries;
hyperbolic geometry.
452. ELEMENTARY TOPOLOGY 3 cr. Prerequisite: MT 341.
Topological spaces, homeomorphisms, connected spaces, compact spaces,
regular and normal spaces, metric spaces.
456. FRACTAL GEOMETRY 3 cr. Prerequisites: MT 233, 341.
Topics from metric spaces, transformations, iterated function systems,
dynamical systems, fractal dimension, Julia sets, and Mandelbrot sets.
468. THEORY OF NUMBERS 3 cr. Prerequisite: MT 341. Divisibility
theorems, number theoretic functions, primitive roots, quadratic congruences
and reciprocity, partitions.469. HISTORY OF MATHEMATICS 3 cr. Prerequisite:
MT 341. Study of mathematics from its origins to its present state. Topics
include the development and impact of geometry, algebra, number theory,
irrational numbers, analytic geometry, calculus, non-Euclidean geometry,
and infinite sets.
478. FORMAL LANGUAGES (CS 478) 3 cr. Prerequisite: MT
341 or MT 379. Finite and push down automata and Turing machines. Regular
languages, context-free grammars, recursive and recursively enumerable
languages. Other topics chosen from Church’s thesis, Gödel
numbering, decidability, and recursive functions.
479. COMBINATORICS AND GRAPH THEORY 3 cr. Prerequisite:
MT 341 or 342 or 379. Pigeonhole principle, inclusion and exclusion, recurrence
relations and generating functions, combinatorial designs, the theory
of graphs, graphical optimization problems.
480. SPECIAL TOPICS cr. TBA. Reading, reports on, and
investigation of selected material and topics.
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