098. Basic Mathematics I. Mathematically sound and comprehensive
coverage of basic computational skills and elementary algebra. Course serves
as a preparation for 099. May not be counted toward baccalaureate degree
requirements. Successful completion of course will be noted on the student's
record by a grade of "P," indicating three hours credit with
no grade points.
(3 3 0)
099. Basic Mathematics II. Emphasis on basic structures of algebra.
Intended for students who did not have Algebra I and 11 in high school.
May not be counted toward baccalaureate degree requirements. Successful
completion of course will be noted on the student's record by a grade of
"P" indicating three hours credit with no grade points.
(3 3 0)
101. Modern Mathematics I. Prerequisite: 099 or two years of high
school algebra and one year of high school geometry. Methods of problem
solving set theory, numeration systems and number theory.
(3 3 0)
102. Modern Mathematics II. Prerequisite or concurrent enrollment:
101. Combinatorics, probability, descriptive statistics, Euclidean and
non-Euclidean geometry, and methods of problem solving.
(3 3 0)
110. College Algebra [MATH 1314]. Prerequisite: 099 or two years
high school algebra and one year high school geometry. Relations, functions,
equations and inequalities, exponents and radicals, binomial theorem and
probability.
(3 3 0)
111. Plane Trigonometry [MATH 1316]. Prerequisite or concurrent
enrollment: 110. Trigonometric functions, identities, trigonometric equations,
logarithms and inverse trigonometric functions.
(3 3 0)
115. Mathematics for Business and Economics I [MATH 1324]. Prerequisite:
099 or two years of high school algebra and one year of high school geometry.
Linear and quadratic equations and inequalities, systems of equations and
matrices, functions and graphs, mathematics of finance, graphical linear
programming, probability.
(3 3 0)
116. Mathematics for Business and Economics II [MATH 1325]. Prerequisite:
115. Derivatives, curve sketching and optimization, techniques of derivatives,
logarithimic and exponential functions with applications, techniques and
applications of integrals.
(3 3 0)
140. Pre-Calculus. Prerequisite: two years of high school algebra,
one year of high school geometry and one semester of high school trigonometry.
Elementary functions and graphing of rectangular, polar and parametric
equations. Emphasis on use of graphing calculators.
(3 3 0)
203. Modeling Nature. Prerequisites: BIOL 121, 122 or 101, 102,
and MATH 110, 111, or permission of instructor. Nature and construction
of conceptual and computer-generated models of living systems, emphasizing
chaotic dynamics and fractal geometry. Same as BIOL 203.
(4 3 2)
240. Calculus I [MATH 2413]. Prerequisite: 111 or 140. Limits, continuity,
differentiation of algebraic and trigonometric functions, applications
of derivative, differentials, indefinite and definite integrals.
(4 4 0)
241. Calculus II [MATH 2414]. Prerequisite: 240. Differentiation
and integration of transcendental functions, techniques of integration
and applications, infinite series, power series.
(4 4 0)
305. Computer Mathematics I. Prerequisite: CIS 105. Application
and use of microcomputers in elementary and middle school mathematics.
Emphasis on mathematics of finance, informal geometry, pre-algebra, number
theory, software evaluation and logo programming language.
(3 3 0)
306. Computer Mathematics II. Prerequisite: 110 and CIS 105. Application
and use of technology especially computers and graphing calculators in
secondary mathematics. Emphasis on algebra, geometry, probability, statistics,
number theory, mathematics of finance and software evaluation.
(3 3 0)
310. Modern Algebra. Prerequisite: 241. Introduction to theoretical
properties of formal systems such as groups, rings and fields.
(3 3 0)
315. Discrete Mathematics. Prerequisite: 240. Set theory, relations
and functions, combinatorics, graph theory, algorithms, lattice theory
and Boolean algebra.
(3 3 0)
316. Problem Solving and Programming. Prerequisite: MATH 116 or
240, and CIS 105. Programming of computers for numerical and non-numerical
problems solving; development of programming skills and application to
various disciplines such as engineering, sciences and business; emphasis
on developing programming techniques.
(3 3 0)
321. Finite Mathematics. Prerequisite: 110. Discrete probability,
decision analysis, Markov processes and game theory.
(3 3 0)
325. Linear Programming. Prerequisite: 240. Linear programming with
emphasis on formulation of problems, assignment problem, transportation
problem, integer programming and network analysis.
(3 3 0)
331. College Geometry. Prerequisite: 110. Principally for teachers
of geometry with emphasis on presenting Euclidean geometry as a mathematical
system. Language of sets and nature of deductive reasoning emphasized.
(3 3 0)
340. Calculus III. Prerequisite: 241. Partial derivatives, functions
of several variables, multiple integration, vector analysis, line integrals.
(3 3 0)
342. Differential Equations I. Prerequisite: 241. Techniques of
solving first-order and nth-order linear differential equations, applications
of first- and second-order differential equations and power series solutions
of differential equations.
(3 3 0)
350. Problem Solving. Polya's problem-solving model applied in algebra,
geometry, probability, statistics, number theory and set theory.
(3 3 0)
360. Statistical Methods. Prerequisite: 110. Descriptive statistics,
combinatorics, probability, statistical inference, regression and analysis
of variance.
(3 3 0)
410. History of Mathematics. Analysis ot origins of number theory,
geometry, algebra and calculus and study of people associated with development
of mathematics.
(3 3 0)
411. Linear Algebra. Prerequisite: 241. Matrix operations, vector
spaces, linear transformations and the algebra of polynomials.
(3 3 0)
430. Differential Equations II. Prerequisite: 342. Systems of linear
differential equations, numerical methods for solving differential equations
and boundary value problems.
(3 3 0)
440. Complex Variables I. Prerequisite or concurrent enrollment:
340. Complex numbers, analytic functions, elementary functions, comp!ex
series and integration.
(3 3 0)
441. Advanced Calculus. Prerequisite: 241. Functions and relations,
limits of functions and sequences, continuity and uniform continuity, differentiability
and the Rieman integral.
(3 3 0)
450. Fractals. Prerequisite: 241. Metric spaces, contraction mappings
and construction of fractals. Applications include chaotic dynamics on
fractals, fractal interpolation functions and fractal dimension. (3 3 0)
461. Engineering Statistics. Prerequisite: 241. Probability, sampling
distributions, decision functions, estimation and testing, analysis of
variance and regression.
(3 3 0)
491. Problems. May be repeated for a total of six semester hours
when subject varies.
(3 0-3 0)
492. Introduction to Numerical Analysis. Prerequisite: 241 and knowledge
of a programming language. Analysis of convergence and errors; derivation
and applications of numerical techniques; numerical differentiation and
integration; solution of linear systems. Material is supplemented by computer
solutions.
(3 3 0)
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