**Mathematics (MATH)**

**070 Developmental Algebra I (3 - Fall & Spring)** Linear equations and inequalities.
Exponents, roots, and radicals. Polynomials. Rational expressions. *May not be
counted toward any degree requirements, but may be substituted for one unit of
high school Algebra I.*

**080 Developmental Algebra II (3 - Fall & Spring)** Quadratic equations and inequalities.
Graphing and straight lines. Systems of linear equations. Inverse, exponential,
and logarithmic functions. *May not be counted toward any degree requirements,
but may be substituted for one unit of high school Algebra II.*

**090 Developmental Geometry (3 - Fall & Spring)** Selected topics from unified geometry.
*May not be counted toward any degree requirements, but may be substituted
*for one *unit of high school Unified Geometry.* Prereq: Algebra I or
MATH 070.

**130 The Nature of Mathematics (3 - Spring)** Selected topics from algebra,
geometry, number theory, logic, probability, statistics, management science,
finance, computing and numerical techniques. Modeling and problem solving
techniques will be illustrated to give students insight into what mathematics
is, what mathematics attempts to accomplish, and how mathematics is used to
solve real life problems. May not be used to satisfy degree requirements for the
B.S. degree in Arts & Sciences. May not be taken for credit by any student
who has successfully completed a higher-numbered mathematics course. Prereq: One
unit of high school geometry and either two units of high school algebra and a
satisfactory score on the placement test or MATH 080*.*

**140 College Algebra and Elementary Functions (3 - Fall & Spring)** Functions (e.g.,
polynomial, exponential, and logarithmic). Zeroes of polynomials. Solutions of
systems of equations and inequalities. Triangle trigonometry. Selected topics
from algebra such as matrices and determinants, and arithmetic and geometric
sequences. Prereq: Two units of high school algebra.

**160 Calculus for Business and Life Sciences (3 - Fall & Spring)** Average and
instantaneous rates. The derivative and its application to curve tracing and
max-min theory. Antiderivative, area under a curve, fundamental theorem. Natural
logarithm and its application to interest, growth, and decay. Prereq: MATH 140
or 185.

**185 Precalculus (5 - Fall & Spring)** Algebraic properties of real numbers. Solutions of
equations and inequalities. Logarithmic and exponential equations. Survey of
conics. Trigonometric functions, identities, graphs, and equations.
Trigonometric applications. Prereq: Two units of high school algebra and one
unit of high school geometry.

**191-192 Principles of Mathematics (3, 3 - Fall, Spring) **Algorithms for four basic
operations, systems of whole numbers and integers. Relations and functions.
Greatest common factor and least common multiple. Fractions, decimals, percent,
ratio, and proportion. Statistic and probability. Metric system, measurement,
area, volume, informal plane and solid geometry. These are manipulative and
activity based courses. Courses must be taken in sequence. Prereq: MATH 140 or
185 or 251.

**210 Elementary Statistics and Probability (3 - Fall & Spring)** Descriptive measures,
elementary probability, sampling, random variables. Discrete probability
distributions, normal probability distributions, and introduction to inference
theory. Prereq: MATH 140, 185, or 251.

**241 Foundations of Mathematics (3 - Fall)** Proof techniques, sets,
propositional calculus, functions, relations and properties of integers.
Pre-req: MATH 140, or 185, or 251. Credit may not be received for both MATH 241
and CSCI 301.

**251-252 Calculus I, II (4, 4 - Fall, Spring)** Limits and continuity. Derivatives and
integrals of polynomial, exponential, logarithmic, trigonometric, and hyperbolic
functions. Techniques of integration, conics, parametric and polar equations,
indeterminate forms, and improper integrals. Infinite series, including Taylor’s
series. *Must be taken in sequence. *Prereq: One unit high school Unified
Geometry and either MATH 185 or (two units of high school Algebra I and II and
1/2 unit high school trigonometry).

**291 Special Topics in Mathematics (1-3 - As Needed)** Lectures and/or laboratory
work relating to specialized topics in mathematics. Course may be repeated with
total credits not to exceed six (6) hours. *May be offered on a Pass/Fail
basis.* Prereq: Instructor’s approval.

**310 Linear Algebra (3 - Spring)** Vectors, matrices, systems of linear equations,
determinants, inverses of matrices, vector spaces, linear transformations,
eigenvalues and eigenvectors. Prereq: MATH 160 or 241 or 251.

**320 Multivariate Calculus (4 - Fall & Spring)** Vector-valued functions, functions of
several variables. Differentials, gradients, and extrema. Multiple integrals,
line and surface integrals. Prereq: MATH 252.

**330 Differential Equations (3 - Fall)** Setting up and solving first order
equations, applications of first order equations. Wronskians, use of operators
and the exponential shift theorem, solutions of higher order equations with
constant coefficients, systems of first order equations, solutions in series,
Laplace transform methods. Prereq: MATH 252.

**340 (540) Numerical Analysis (3 - Spring, Even Numbered Years) **Formulation of numerical problems for
solution on a digital computer. Error analysis and control, nonlinear equations,
differentiation, integration, systems of equations, differential equations,
curve fitting and eigenvalue problems. Prereq: CSCI 221 and MATH 252; CSCI 301
or MATH 310. (Same as CSCI 340/540)

**350 Number Theory (3)** The integers: well-ordering, different bases,
divisibility, primes, and factoring. The fundamental theorem of arithmetic and
the division algorithm. Diophantine equations and applications of congruences.
Pseudorandom numbers, pseudoprimes, and cryptography. Prereq: MATH 241.

**365 Regression Analysis (3 - Fall, Odd Numbered Years)** Measuring the relationship among variables
using standard regression techniques. Topics include simple, multiple and
polynomial regression, model fitting, verification of model assumptions, and
examination of residuals. Prereq: MATH 210 and MATH 251. *Credit for both MATH
360 and MATH 365 will not be allowed.*

**410 (610) Geometry (3 - Spring, Even Numbered Years)** Euclidean geometry (Birkhoff’s and Hilbert’s
Postulates), non-Euclidean geometries (hyperbolic and elliptic), finite
geometries, transformational geometry, and theory of area. Prereq: MATH 241.

**420 (620) History of Mathematics (3 - Spring, Odd Numbered Years) **Study of the development of
mathematics from ancient to modern times through problem solving. The
investigation of the lives and works of specific mathematicians with particular
attention to the development of ideas, notation, and the influence of
mathematics on society. Prereq: MATH 160 or 251.

**430 (630) Complex Variables (3 - Spring, Even Numbered Years)** Algebraic operations and geometry of
complex numbers, definitions of limit continuity, and analytic functions,
differentiation, mapping of simple functions, line integrals, Cauchy integral
formula, Laurent series, evaluation of real integrals using* *residue
theorem. Prereq: MATH 320.

**451 (651) Applications and Modeling (3 - Fall) **Practical applications of
mathematics including optimization, interpolation and best fit, simulation,
dimensional analysis and graph theory. Mathematical model building including
problem identification, model construction or selection, fine tuning and
validation. Prereq: MATH 310 and 320.

**455 Design of Experiments (3 - Spring, Even Numbered Years)** The design and analysis of experiments.
Topics include one and two factor analysis of variance, randomized designs,
repeated measures, and factorial experiments. Prereq: MATH 210 and 251.

**461-462 (661-662) Probability and Statistics I, II (3, 3 - Fall, Even Numbered Years , Spring, Odd Numbered Years)** Discrete and
continuous probability spaces, statistical independence, distributions, discrete
and continuous random variables, expectations, moment-generating functions,
limiting distributions, estimation of parameters, confidence intervals,
hypothesis testing with applications, linear regression and correlation,
multiple linear regression. *Must be taken in sequence.* Prereq: MATH 252
is a prerequisite for MATH 461. MATH 320 and MATH 461 are prerequisites for MATH
462.

**465 Statistical Computing (3 - Spring, Odd Numbered Years)** Applications of major statistical
software packages. Emphasizes the use of computers to perform statistical
procedures and the interpretation of statistical output. Prereq: MATH 210.

**471-472 (671-672) Abstract Algebra I, II (3, 3 - Fall, Spring)** Equivalence relations
and partitions. Properties of the integers. Elementary theory of groups and
rings. Polynomial rings, integral domains, divisibility, unique factorization
domains, fields, Vector spaces, and linear transformations. Students are
required to submit written work and make an oral presentation. *Must be taken
in sequence*. Prereq: MATH 241 and 310.

**481-482 (681-682) Real Analysis I, II (3, 3 - Fall, Odd Numbered Years, Spring, Even Numbered Years) **Sets and countability.
The real number systems. Sequences, limits, infinite series, metric spaces,
continuous functions, uniform continuity, and convergence. Riemann and Lebesgue
integration. Students are required to submit written work and make an oral
presentation. *Must be taken in sequence*. Prereq: MATH 241 and 320.

**491-492 (691-692) Special Topics (1-3, 1-3 - As Needed)** Selected topics in
mathematics, student research, or seminar. *Course may be repeated with total
credits not to exceed six hours*. Prereq: MATH 320 and departmental
approval.

**710 Selected Topics in Arithmetic for Teachers (3 - As Needed)** Selected topics in
arithmetic through student research, seminars, or workshops. Prereq:
Departmental approval.

**720 Selected Topics in Algebra for Teachers (3 - As Needed)** Selected topics in
algebra through student research, seminars, or workshops. Prereq: Departmental
approval.

**730 Selected Topics in Geometry for Teachers (3 - As Needed)** Selected topics in
geometry through student research, seminars, or workshops. Prereq: Departmental
approval.