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MATH 098 ~ Mathematics Review I ~ 4.0 credits. An individually paced review of pre-college mathematics concepts and skills. Designed to prepare students for college-level mathematics. Focuses on basic concepts and skills and effective communication of quantitative information and concepts. Not for baccalaureate credit; however, the course grade (A-F) will show on student transcripts. (Offered fall and spring semesters, and summer session.) Prerequisite(s): - none - MATH 099 ~ Mathematics Review II ~ 0.0 TO 4.0 credits.
A continuation of Math 98 for those students who have not yet satisfied the
ELM requirement. Not for baccalaureate credit; however, the course grade (A-F)
will show on student transcripts. (Offered fall and spring semesters, and summer session.)
MATH 100 ~ Quantitative Literacy ~ 4.0 credits.
Covers linear, quadratic, exponential, and logarithmic functions; systems of
equations and inequalities; simple and compound interest; annuities; loan;
discrete probability; counting principles, frequency distributions, measures
of central tendency; measures of dispersion, confidence intervals; areas; and
volumes. Draws examples from applications in the social sciences, biological
sciences, and business. Uses technology as a tool to acquire, visualize, and
analyze data.
MATH 115 ~ Finite Mathematics I ~ 4.0 credits.
Mathematical modeling and data analysis using functions with
applications to business and to social sciences. Functions include
polynomial, rational, exponential, logarithmic and periodic functions.
MATH 116 Finite Mathematics II ~ 4.0 credits.
Mathematical modeling and data analysis applicable to the social
sciences and business selected from the following: logic, set theory,
combinatorics, statistics, matrix algebra, linear programming, Markov
chains, graph theory, and mathematics of finance.
MATH 130 ~ Precalculus ~ 4.0 credits.
Introduces precalculus using an applications-based approach to discuss
functions; exponential, logarithmic, trigonometric, and linear functions; data
analysis; and mathematical modeling. (Offered fall and spring semesters, and
summer session.)
MATH 130L ~ Precalculus Lab ~ 1.0 TO 2.0 credits.
Lab meeting two hours per week. Emphasizes the use of, precalculus using an
applications-based approach to discuss functions; exponential, logarithmic,
trigonometric, and linear functions; data analysis; and mathematical modeling.
(Offered fall and spring semesters, and summer session.)
MATH 150 ~ Calculus I ~ 4.0 credits.
Includes limits, continuity, derivatives including trigonometric functions,
chain rule, curve sketching, extremum problems, implicit differentiation,
related rates, Mean Value Theorem, logarithmic and trigonometric functions,
introduction to integration, fundamental theorem of calculus, substitution,
and applications. (Offered fall and spring semesters.)
MATH 151 ~ Calculus II ~ 4.0 credits.
Includes the calculus of exponential and logarithmic functions, trigonometric
and inverse trigonometric functions, techniques of integration, separable
differential equations, Taylor polynomials, L'Hôpital's rule, improper
integrals, series, and introduction to partial derivatives. (Offered fall and
spring semesters.)
MATH 170 ~ Discrete Mathematics ~ 4.0 credits.
Includes sets and sequences, elementary logic, relations, induction, counting
principles, discrete probability, Boolean algebra, logic networks, matrices,
graph theory, and trees. Applies these topics to real life and branches of
science, particularly computer science. (Offered fall and spring semesters.)
MATH 197 ~ Independent Study ~ 1.0 TO 6.0 credits.
Student and faculty member select topic of study and number of credits.
MATH 250 ~ Multivariate Calculus ~ 4.0 credits.
Vectors in three dimensions, solid analytic geometry, partial differentiation,
multiple integration, differentiation under the integral sign, vector field
theory. (Offered fall semester.)
MATH 260 ~ Linear Algebra ~ 4.0 credits.
Introduces matrices and systems of linear equations and covers topics such as
determinants, vectors in two and three dimensions, vector spaces, linear
transformations, and eigenvector eigenvalue decompositions. Emphasizes
applications to real-world issues. Students use computing technology for the
course.
MATH 322 ~ Foundations of Modern Math. ~ 4.0 credits.
Introduces the tools, terminology, and symbols of advanced mathematics. Sets,
infinite unions and intersections, index sets, functions, partially ordered and
totally ordered sets, axiom of choice, and number systems from the natural
numbers to the complex numbers. (Offered spring semester.)
MATH 300 ~ Major Proseminar ~ 2.0 credits.
The capstone process begins in Math 300. Students develop the scholarly reading,
writing, and collaboration skills needed to develop, implement, and complete
their capstone projects.
MATH 304 ~ Modern Algebra ~ 4.0 credits.
Develops student understanding of the power of mathematical abstraction and
symbolism through the study of advanced algebraic structures. Studies matrices,
groups, integral domains, rings, and fields and discusses their relationship to
the precollege algebra curriculum. Emphasizes problem solving and requires
students to use a variety of algebraic representations and techniques to model
and analyze problem situations and solutions.
MATH 305 ~ Modern Geometry ~ 4.0 credits.
This course introduces Euclidean and non-Euclidean geometries as vehicles for
studying axiomatic systems, for representing real world phenomena, and for
visualizing mathematical ideas. The course emphasizes aesthetic and practical
applications of geometry and methods of proof. Students are required to do
formal constructions and proofs using compass, straightedge, and computer
software.
MATH 306 ~ Logic and Foundations ~ 4.0 credits.
A careful analysis of methods of proof, axiomatic systems, consistency, the
elaboration of mathematical structures from a minimal set of axioms and basic
principals of symbolic logic. Students gain an understanding of the nature and
purpose of axiomatic systems, and the ability to prove fundamental theorems
utilizing various mathematical systems.
MATH 308 ~ Elementary Math - Adv Viewpt A ~ 3.0 credits.
The first of a two-course sequence intended for future elementary teachers.
Students develop an in-depth understanding of key concepts in K-8 mathematics
and of students' learning of K-8 mathematics concepts.
(Offered fall and spring semesters.)
MATH 309 ~ Elementary Math - Adv Viewpt B ~ 3.0 credits.
Second in a sequence of courses intended for future elementary and middle
school teachers. Students in this course will develop an in-depth understanding
of additional key concepts in K-8 mathematics and further develop their
understanding of children's learning processes in mathematics in general.
(Offered fall and spring semesters.)
MATH 320 ~ Probability and Statistics ~ 4.0 credits
Concepts of sample space, probability, random variable, expectation moment,
elementary combinatorial analysis, moment generating function, distribution,
density function, estimation theory, hypothesis testing, regression, correlation,
and an introduction to non-parametric statistics.
MATH 322 ~ Foundations of Modern Math. ~ 4.0 credits.
An introduction to the tools, terminology, and symbols of advanced mathematics.
Sets, infinite unions and intersections, index sets, functions, partially
ordered and totally ordered sets, axiom of choice, and number systems from the
natural numbers to the complex numbers.
MATH 325 ~ Number Theory ~ 4.0 credits.
Introduces the properties of integers. Topics include the division and Euclidean
algorithms, mathematical induction, congruences, fundamental theorem of
arithmetic, perfect numbers, number theoretic functions, and prime number theorem.
MATH 326 ~ History of Mathematics ~ 4.0 credits.
The history of mathematics from ancient to modern times. Students learn to
solve problems using only the tools of the past. Mathematics is developed
in the context of its impact on the development of science and the interaction
of mathematics with other fields of human endeavor such as philosophy, arts,
and social values.
MATH 329 ~ College Geometry ~ 4.0 credits.
The Hilbert postulates and axiomatic systems, isometries in the Euclidean Plane,
non-Euclidean geometries, finite geometries, and the construction of geometries
from fields.
MATH 330 ~ Linear Algebra ~ 4.0 credits.
Linear equations and matrices, vector spaces, dual spaces and inner product
spaces, linear transformations, determinants, eigenvalues and eigenvectors,
systems of linear differential equations, and applications.
MATH 340 ~ Differential Equations ~ 4.0 credits.
Series solution of linear differential equations with variable coefficients,
systems of differential equations, phase plane analysis, existence and
uniqueness theorems, singular points, stability theory, transform analysis, and
applications.
MATH 361S ~ Mathematics Tutors ~ 4.0 credits.
Upper-division course where students assist local mathematics teachers in
lesson design and construction, classroom instruction, and student assessment.
Students deepen their understanding of basic mathematical principles,
techniques, and methodologies for effective instruction.
MATH 362S ~ Service Learning ~ 2.0 credits.
Students examine their own and children’s learning of elementary and middle
school mathematics. Discussion focuses on issues of equity, diversity, and
social justice in the context of mathematics and mathematics learning. The
service component of the course may include aiding or tutoring in mathematics
classes or facilitating mathematics activities in after-school programs.
MATH 362LS ~ Math Service Learning Lab ~ 0.0 credits.
Service learning component of Math 362S which may include aiding or tutoring in
mathematics classes or facilitating mathematics activities in after-school
programs
MATH 370 ~ Logic and Computation ~ 4.0 credits.
An advanced study of logic and discrete structures that have application in
computer science. Topics include logic, propositional and predicate calculus,
proof structures, algorithms, and complexity. The course emphasizes applications
to core areas of computer science, such as computer architecture, programming
languages, the theory of computation, artificial intelligence, software
engineering, and relational databases.
MATH 397 ~ Independent Study ~ 1.0 TO 6.0 credits.
Student and faculty member select topic of study and number of credits.
MATH 400 ~ Capstone Seminar ~ 2.0 credits.
Under the guidance of a faculty member, students begin research in an area of their interest.
MATH 401 ~ Capstone Seminar II ~ 4.0 credits.
Under the guidance of a faculty member, students complete a formal writeup and
present research in an area of their interest.
MATH 410 ~ Modern Algebra I ~ 4.0 credits.
Detailed study of the theory of basic algebraic systems, groups, and rings.
Topics include subgroups, permutation groups, homomorphisms, subrings, ideals,
and quotient rings.
MATH 411 ~ Modern Algebra II ~ 4.0 credits.
A rigorous treatment of rings and fields. Examples from many braches of
mathematics. Ideals and quotient rings, categorization of rings, Euclidean
domains, polynomial rings and fields, unique factorization domains, extension
fields, and Galois theory.
MATH 420 ~ Mathematical Analysis I ~ 4.0 credits.
A rigorous introduction to the n-dimensional real number system. Topics include
construction of the real numbers, topology of real numbers, continuity,
derivatives and integration in multiple dimensions, sequences and series, and
sequences and series of functions.
MATH 421 ~ Mathematical Analysis II ~ 4.0 credits.
A continuation of MATH 420. Topics include implicit function theory, conformal
mappings, Lagrange multipliers, special functions, transforms, uniform
convergence of integrals, calculus of variations, Fourier series, and Lebesgue
integration.
MATH 597 ~ Independent Study ~ 1.0 TO 6.0 credits.
Student and faculty member select topic of study and number of credits.
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