Mathematics and Statistics Courses
Mathematics courses:
070 080 090 100-100 130 140 160 170 185 191-192 210 251-252 291
310 314 320 330 340 350 410 420 430 451 471-472 481-482 491-492 498-499
710 720 730
Statistic courses:
325 365 375 385 435 455 461 462 465 491-492 498-499
Departmental Syllabi
Mathematics (MATH) Courses
070 Developmental Algebra
I (3) (TBR: DSPM 0800) 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. No longer offered beginning Fall 2011
080
Developmental Algebra II (3) (TBR: DSPM 0850)
Quadratic equations and inequalities. Graphing and
straight lines. Systems of linear equations. Inverse,
exponential, and logarithmic functions. Prereq:
Appropriate mathematics placement OR completion of
MATH 070. May
not be counted toward any degree requirements, but
may be substituted for one unit of high school Algebra
II. No longer offered beginning Fall 2011
090
Developmental Geometry (3) (TBR: MATH 0990)
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. No longer offered beginning Fall 2011
100-110 Essentials of Algebra Part I, II (4, 4)
Functions and their graphs (including polynomial, rational, exponential, and logarithmic), exponents, roots, radicals, rational expressions, factoring polynomials, zeroes of polynomials, solutions of linear and nonlinear equations and inequalities, systems of equations and inequalities, matrices and determinants, inverse functions. Three hours of lecture and two hours of lab. (In order to proceed to MATH 110, students must complete MATH 100 with a grade of C or better. Math 100 may not be substituted for MATH 110. Math 100 cannot be used to satisfy the general education requirement. Credit may not be received for both MATH 100-110 and MATH 140. Credit may not be received for both Math 100-110 and Math 185.) (F, Sp)
130
The Nature of Mathematics (3) 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. 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)
(TBR: MATH 1710) 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,
and appropriate mathematics placement OR completion
of MATH 080.
160
Calculus for Business and Life Sciences (3)
(TBR: MATH 1830) 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 or appropriate mathematics placement.
170
Trigonometry (3) Trigonometric functions, identities, graphs, equations, harmonic motion, trigonometric form of complex numbers, vectors, dot product, and conics. Applications of trigonometric functions. Prereq: Two units of high school algebra, one unit of high school geometry, and appropriate mathematics placement result OR completion of MATH 140 with a grade of C or better. You may not receive credit for both 170 and 185.
185
Precalculus (5) 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,
one unit of high school geometry, and appropriate mathematics
placement.
191-192
Principles of Mathematics (3, 3) (TBR: MATH
1410-1420) 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. Statistics
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) (TBR:
MATH 1530) Descriptive measures, elementary probability,
sampling, random variables. Discrete probability distributions,
normal probability distributions, and introduction
to inference theory. Prereq: MATH 140, 185, or 251
or appropriate mathematics placement.
251-252
Calculus I, II (4, 4) (TBR: MATH 1910- 1920)
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: Two units of
high school algebra, one unit high school geometry,
1/2 unit high school trigonometry, and appropriate
mathematics placement OR completion of MATH 185. A
grade of C or better in MATH 251 is required to enroll
in MATH 252.
291
Special Topics in Mathematics (1-3) 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: Departmental approval.
310
Linear Algebra (3) Vectors, matrices, systems
of linear equations, determinants, inverses of matrices,
vector spaces, linear transformations, eigenvalues
and eigenvectors. Prereq: MATH 160 or 251 or 314.
314
Foundations of Mathematics (3) Proof techniques,
sets, propositional calculus, functions, relations
and properties of integers. Prereq: MATH 140, or
185, or 251.
320
Multivariate Calculus (4) (TBR: MATH 2110) Vector-valued
functions, functions of several variables. Differentials,
gradients, and extremes. Multiple integrals, line and
surface integrals. Prereq: A grade of C or better
in MATH 252.
330
Differential Equations (3) (TBR: MATH 2120)
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) 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: wellordering,
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 314.
410
(610) Geometry (3) Euclidean geometry (Birkhoff's
and Hilbert's Postulates), non-Euclidean geometries
(hyperbolic and elliptic), finite geometries, transformational
geometry, and theory of area. Prereq: MATH 314.
420
(620) History of Mathematics (3) 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) 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) 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.
471 (671) Abstract Algebra
I (3) 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 with MATH 472. Prereq: MATH 310 and 314.
472
(672) Abstract Algebra II (3) 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 with
MATH 471. Prereq: MATH 310 and 314.
481-482
(681-682) Real Analysis I, II (3, 3) 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 314 and 320.
491-492
(691-692) Special Topics (1-3) 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.
498
Undergraduate Research Experience I (2) Introduction
to research methodologies and tools including LaTeX
and MathSciNet. Presenting mathematics in written and
oral formats. Ethics in research. This course includes
substantial directed individualized study leading to
the preparation of a significant paper. Prereq:
consent of the department chair. Cannot receive
credit for both Math 498 and Stat 498. Grading on a
pass or fail basis.
499 Undergraduate
Research Experience II (1) The presentation of
mathematics works in both oral and written formats. This
course will finalize the significant paper begun in Math/Stat
498 and based on the students’ individual research.
This will require that it be presented at a regional
or national meeting. Prereq: Math 498 and consent
of the department chair. Grading on a pass or fail
basis.
710
Selected Topics in Arithmetic for Teachers (3)
Selected topics in arithmetic through student research,
seminars, or workshops. Prereq: Departmental approval.
720
Selected Topics in Algebra for Teachers (3)
Selected topics in algebra through student research,
seminars, or workshops. Prereq: Departmental approval.
730
Selected Topics in Geometry for Teachers (3)
Selected topics in geometry through student research,
seminars, or workshops. Prereq: Departmental approval.
Statistics (STAT) Courses
325 Statistical Methods (3)
Basic probability distributions, fundamentals of statistical
inference, hypothesis testing, one way classification,
analysis of variance, covariance, use of variance components
and their estimation, comparative experiments, multiple
comparisons, and regression. Prereq:
MATH 210.
365 (565) Regression Analysis (3)
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 251, Math 310, and either STAT 325 or ENGR 311 or
department approval. Credit for both MATH 360 and
MATH 365 (565) will not be allowed.
375
(575) Sampling Theory (3) Mathematical development
of sampling. Consideration of simple probability sampling
including simple random, stratified random, cluster
and multistage sampling. Deriving estimates and variances
of estimates for different sampling designs. Prereq:
STAT 325 or ENGR 311 or departmental approval.
385 (585) Nonparametric Methods (3)
Alternatives to normal-theory statistical methods; analysis
of categorical and ordinal data, methods based on rank
transforms, measures of association, goodness of fit
tests, order statistics. Prereqs: Math 251, and either
STAT 325 or ENGR 311 or departmental approval.
435
(635) Categorical Data Analysis (3) Analysis of categorical
data. Contingency tables, exact tests, loglinear models,
analyses involving ordinal variables, binary response
models, and multinomial response models. Prereqs:
Math 251, and either STAT 325 or ENGR 311 or departmental
approval.
455 (655) Design of Experiments (3)
The design and analysis of experiments. Topics include
one and two factor analysis of variance, randomized designs,
repeated measures, and factorial experiments. Prereq:
MATH 251 and either STAT 325 or ENGR 311 or department
approval.
461
(661) Probability and Statistics I (3) 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. Prereqs:
MATH 252, either Math 314 or CSCI 301, and either STAT
325 or ENGR 311 or department approval.
462
(662) Probability and Statistics II (3) Discrete
and continuous probability spaces, statistical independence,distributions,
discrete and continuous random variables, expectations,
moment-generating functions, limiting distributions,
estimation of Description of Courses - Mathematics
371 Course Descriptions parameters, confidence intervals,
hypothesis testing with applications, linear regression
and correlation, multiple linear regression. Prereqs:
MATH 320 and STAT 461.
465
(665) Statistical Computing (3) Applications
of major statistical software packages. Emphasizes
the use of computers to perform statistical procedures
and the interpretation of statistical output. Either
STAT 325 or ENGR 311 or department approval.
491-492
(691-692) Special Topics (1-3) 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.
498
Undergraduate Research Experience I (2) Introduction
to research methodologies and tools including LaTeX and
MathSciNet. Presenting mathematics in written and oral
formats. Ethics in research. This course includes substantial
directed individualized study leading to the preparation
of a significant paper. Prereq: consent of the department
chair. Cannot receive credit for both Math 498 and
Stat 498. Grading on a pass or fail basis.
499
Undergraduate Research Experience II (1) The presentation
of mathematics works in both oral and written formats.
This course will finalize the significant paper begun
in Math/Stat 498 and based on the students’ individual
research. This will require that it be presented at a
regional or national meeting. Prereq:
Math 498 and consent of the department chair. Grading on a pass or fail basis.
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