Actuarial Sciences Concentration--This concentration requires the following changes:
Allowed Substitutions:
MATH 3323 for
MATH 4326; 6 semester hours in the College of Science (not in the major or minor) for the required physics sequence.
Required Replacements:
MATH 2320 for
MATH 4341;
MATH 3320,
MATH 4329, and
STAT 4380 for the required 9 additional semester hours of upper-division courses in Mathematical Sciences.
Additional Requirements:
CS 1420; and as electives,
MATH 4199 (2 times),
CS 1401 or
CIS 2335,
ECON 2303 and
ECON 2304,
COMM 1302; and two courses from
ACCT 2301 or
ACCT 3309,
FIN 3310,
FIN 4316,
BLAW 3301,
MKT 3300,
MGMT 3303 or
POM 3321,
ECON 3302,
ECON 3303, and
ECON 3372.
Secondary Education Concentration--This concentration requires a second minor in Secondary Education. In addition:
Allowed Substitutions:
MATH 3323 for
MATH 4326; one of the courses
MATH 3319,
MATH 3327,
MATH 3328 (not geometry),
MATH 4325, or
MATH 4329 for
MATH 4341.
Required Replacements:
MATH 3300,
MATH 3328 (geometry), and
STAT 4380 for the required 9 additional semester hours of upper-division courses in Mathematical Sciences.
Additional Requirements: The first minor must be selected from biology, chemistry, computer science, geology, or physics. A minor in physics is strongly recommended, in
which case the required physics sequence (College of Science additional science requirement) must be replaced by one of the following:
BIOL 1305-
BIOL 1107 and either
BOT 2410 or
ZOOL 2406;
CHEM 1305-
CHEM 1105 and
CHEM 1306-
CHEM 1106; or
GEOL 1301-
GEOL 1101 and
GEOL 1302-
GEOL 1102.
Statistics Concentration--This concentration requires the following changes:
BS in Applied Mathematics
The requirement to obtain the BS in Applied Mathematics consists of the general College of Science requirements plus the following specific requirements:
Major (40 semester hours including 24 semester hours of upper-division course work):
MATH 1411,
MATH 1312,
MATH 2300 or
MATH 2320,
MATH 2313,
MATH 2326 or
MATH 3326,
MATH 3323 or
MATH 4326,
MATH 3335,
MATH 4329,
MATH 4336,
MATH 4399 (as a senior project),
STAT 3330 and
STAT 4380, and 3 additional semester hours of upper-division courses in Mathematical Sciences.
Minor: A minimum of 18 semester hours including 6 semester hours of upper-division courses in any approved minor in the College of Business Administration, College of Science,
or the Department of Computer Science. The minor discipline and specific courses must be approved by the departmental undergraduate advisor.
Other:
CS 1401 or
CS 1420,
PHYS 1120-
PHYS 1121, and
PHYS 2410-
PHYS 2411 are required. If physics is the minor, the additional science requirement may be satisfied by
BIOL 1305-
BIOL 1107,
BIOL 1306-
BIOL 1108; or
CHEM 1305-
CHEM 1105,
CHEM 1306-
CHEM 1106; or
GEOL 1301-
GEOL 1101,
GEOL 1302-
GEOL 1102.
BA in Mathematics
See the College of Liberal Arts section of this catalog for the general requirements for the BA degree. The specific courses required for this major are (28 semester hours
including 18 semester hours of upper-division course work):
MATH 1411,
MATH 1312,
MATH 2313,
MATH 3323 or
MATH 4326,
MATH 3325,
MATH 3341, and 9 additional semester hours of upper-division courses in Mathematical Science. A BA with Secondary Teaching Certification is also available through the College of Liberal Arts. A minor in this College requires 9 semester hours of upper-division course work.
Minor in Mathematics
A minor in mathematics requires
MATH 1411,
MATH 1312, and an additional minimum of 4 courses, at least 2 (3 for the BA) of which must be upper-division courses. Approved courses include
MATH 2300,
MATH 2313,
MATH 2320,
MATH 2326 or
MATH 3326,
MATH 3319,
MATH 3320,
MATH 3323 or
MATH 4326,
MATH 3325,
MATH 3327,
MATH 3328,
MATH 3335,
MATH 3341,
MATH 4325,
MATH 4329,
MATH 4336,
MATH 4341,
STAT 3330,
STAT 3381, and
STAT 4380.
Minor in Statistics
Students may minor in Statistics by taking 18 hours (six advanced) as follows:
CS 1420 or equivalent,
MATH 2301 or
MATH 1411, plus 12 hours from
STAT 2380,
STAT 2381,
STAT 3330,
STAT 3381,
STAT 4380, and
MATH 3320. Students who plan to pursue graduate studies in statistics-related areas are urged to take
STAT 4380.
Advising
All undergraduate mathematics majors are required to consult with and have their enrollment approved by their undergraduate advisor before every enrollment.
Placement
Students who intend to register in
MATH 1320,
MATH 1508, or
MATH 1411 must present an official document at registration showing that they have either an adequate placement examination score or received a grade of "C" or better in the prerequisite course.
GPA
Mathematics majors must maintain a 2.0 GPA in all MATH and STAT courses (see the Standards of Academic Performance section of this catalog).
Prerequisites
All mathematics (MATH) or statistics (STAT) courses that have MATH or STAT prerequisites require a grade of "C" or better in the prerequisite course.
Mathematics (MATH)
0310 Introductory Algebra (3-0) (Non-credit course)
The course begins with a review of signed numbers, rational numbers, and exponents. Major topics include variables, linear equations and inequalities, word problems, and
operations with polynomials. This course is designed as an introduction to
MATH 0311. Credit hours received for
MATH 0310 may count toward removal of provisional status, but may not be used to satisfy any institutional degree requirements. Prerequisite: Placement by examination.
0311 Intermediate Algebra (3-0) (Non-credit course)
The course begins with a review of polynomials. Major topics include rational expressions and equations, radical expressions, rational exponents, complex numbers, quadratic
equations, graphing lines, and geometry. The course is designed as an introduction to
MATH 1508 or
MATH 1320. Credit hours received for
MATH 0311 may count toward removal of provisional status, but may not be used to satisfy any institutional degree requirements. Prerequisite:
MATH 0310 or placement by examination.
1312 Calculus II (3-0)
(Common Course Number
MATH 2314)
Continuation of
MATH 1411. Topics include special methods of integration and applications; infinite series. Prerequisite:
MATH 1411.
1320 Mathematics for Social Sciences I (3-0)
(Common Course Number
MATH 1324)
Topics of college algebra and geometry including the algebra of sets; linear, quadratic, exponential, and logarithmic functions; systems of linear equations and inequalities;
matrix algebra; probability and the mathematics of finance. Prerequisites: An adequate score on a placement examination or
MATH 0311 or
MATH 1305.
1411 Calculus I (4-0)
(Common Course Number
MATH 2413)
Topics include limits, continuity, differentiation, and integration of functions of a single variable. Prerequisites: Four years of high school mathematics including trigonometry
and analytic geometry and an adequate score on a placement examination or
MATH 1410 or
MATH 1508.
1508 Precalculus (4-0)
(Common Course Number
MATH 2512)
Topics include the algebra of real functions, graphs of functions, analytic geometry of first and second degree curves, rational functions, exponential and logarithmic functions,
and polynomial equations, sequences, series, and mathematical induction. Prerequisite: An adequate score on a placement examination or
MATH 0311.
2300 Discrete Mathematics (3-0)
(Common Course Number
MATH 2305)
Topics in discrete mathematics including induction, recursion and recurrence relations, sets and relations, combinatorics, and graph theory. Prerequisite:
MATH 1411.
2301 Mathematics for Social Sciences II (3-0)
(Common Course Number
MATH 1325)
Topics include linear programming and an introduction to differential and integral calculus with applications to business and the social sciences. Prerequisite:
MATH 1320,
MATH 1409, or
MATH 1508.
2303 Properties of the Real Numbers I (3-0)
A study of the arithmetic structure of the real numbers from an advanced point of view. Relations with concepts from set theory, groups, rings, and fields will be included. Prerequisite:
MATH 1409,
MATH 1508, or
MATH 1320, or an acceptable score on a placement examination.
2313 Calculus III (3-0)
(Common Course Number
MATH 2315)
Continuation of
MATH 1312. Topics include solid analytic geometry, partial differentiation, and multiple integrals. Prerequisite:
MATH 1312.
2320 Mathematics of Interest (3-0)
Mathematical foundations - a calculus based development of the theory of interest with applications including annuities, bonds, depreciation, sinking funds, amortization
schedules, insurance and yield rates. Prerequisite:
MATH 2301 or
MATH 1312.
2326 Differential Equations (3-0)
(Common Course Number
MATH 2320)
An analytical, graphical, and numerical study of first order equations and system of equations, modeling, bifurcations, linearization, and Laplace transforms. Prerequisite:
MATH 1312.
General Prerequisite: All required lower-division courses in the major should be completed with a grade of "C" or better in order to enroll in upper-division courses in the
major. Some upper-division courses may be applied toward graduate degrees; consult the Graduate Studies Catalog for the listing of these courses.
3300 History of Mathematics (3-0)
One of two periods will be addressed:
(1) Pre-17th century history: Mathematical contributions for various cultures and eras from Babylonia to 16th century Europe are reviewed with special focus on Greek
mathematics. (2) Early modern history: A historical account of the genesis of trigonometry, logarithms, analytic geometry, calculus, and the study of functions, with
an emphasis on the period of the European scientific revolution (1600-1750). Original works by noted mathematicians will be examined in order to understand the evolution
of our current mathematics curriculum. May be repeated for credit when the periods differ. Prerequisite:
MATH 1411 or instructor approval.
3303 Properties of the Real Numbers II (3-0)
Additional topics in the structure of the real numbers. Basic number theory including divisibility and congruences. Topics in finite mathematics. Prerequisite:
MATH 1410 or
MATH 1508.
3304 Fundamentals of Geometry from an Advanced Standpoint (3-0)
An axiomatic treatment of Euclidean geometry including some historical perspectives. Informal treatment of other geometries such as distance and hyperbolic geometry. Prerequisite:
MATH 1410 or
MATH 1508.
3319 Elementary Number Theory (3-0)
An introduction to some of the classical topics in number theory including divisibility, congruences, and quadratic reciprocity. Diophantine equations and the distribution of
primes. Prerequisite:
MATH 1312.
3320 Actuarial Mathematics (3-0)
Individual and collective risk models. Survival distributions and life contingency tables. Models for life insurance and multiple life functions. Prerequisite:
STAT 3330.
3323 Matrix Algebra (3-0)
Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, diagonalization, vector spaces, and linear transformations. Prerequisite:
MATH 1312.
3325 Principles of Mathematics (3-0)
Logic and proofs, elements of set theory, relations and functions: application of these ideas. Cardinality, groups and their quotients, and the field of real numbers.
Prerequisite:
MATH 1312.
3327 Applied Algebra (3-0)
Study of problems from one of the following subjects: Automata Theory; Formal Languages; Information Theory; Theory of Algorithms; Artificial Intelligence. This course deals
with the theoretical components of computer science and is also of interest to students of structural/ theoretical features in such disciplines as biology, linguistics, social science,
and in learning theory. May be repeated for credit if subjects differ.
Prerequisite:
MATH 1312.
3328 Foundations of Mathematics (3-0)
Study of principles of mathematical thinking and of common objects of mathematical thought. Emphasis on one of these aspects: Logic; Set Theory; Geometry; Topology. May be
repeated for credit if subjects differ. Prerequisite:
MATH 1312.
3335 Applied Analysis I (3-0)
Line and surface integrals, change of variable in multiple integrals, vector analysis, and an introduction to complex variables. Prerequisite:
MATH 2313.
3341 Introduction to Analysis (3-0)
A theoretical study of the foundations of the calculus of functions of one variable. Includes the real number system, convergence, continuity, differentiability, and
elementary integration theory. Prerequisite:
MATH 1312.
4199 Individual Studies in Mathematics (0-0-1)
4399 Individual Studies in Mathematics (0-0-3)
Studies of topics not included in or going beyond the regular course offerings. May be repeated for credit. Prerequisite: Department approval.
4325 Modern Algebra (3-0)
Groups, rings, integral domains, and fields. Prerequisite:
MATH 3325.
4326 Linear Algebra (3-0)
Vector spaces, linear transformations and matrix representations, canonical forms, eigenvalues, invariant subspaces, orthogonal and unitary transformations, and bilinear and
quadratic forms. Prerequisite:
MATH 3325.
4329 Numerical Analysis (3-0)
The course covers numerical algorithms for approximation of functions, quadrature, solution of ordinary differential equations, solution of nonlinear equations, solution of
linear systems of equations, computing eigenvalues and eigenvectors. Many computer applications will be required. Prerequisites:
MATH 3323 and a working knowledge of a high level programming language.
4336 Applied Analysis II (3-0)
Series solutions of differential equations. Fourier series and Fourier integrals. Bessel's equation and Bessel functions. Legendre's equation and Legendre polynomials,
the Sturm-Liouville problem and eigenfunction expansions, and an introduction to partial differential equations. Prerequisite:
MATH 2326 or
MATH 3326.
4341 Real Analysis (3-0)
Convergence of series of constant terms; convergence of sequences and series of functions; and analysis of functions of several variables to include the differential
approximation theorem, the inverse function theorem, and the implicit function theorem. Prerequisite:
MATH 3341.
4370 Topics Seminar (3-0)
Organized lectures in mathematics on topics not represented among the other course offerings. Prerequisite: Junior standing; addition prerequisites may be announced
as required by the topics. May be repeated for credit.
Statistics (STAT)
1380 Basics of Descriptive and Inferential Statistics (3-0)
A course in statistical literacy. Emphasis will be on standard descriptive measures of location, spread, and association. Regression, probability and sampling, and
binomial distribution. Interpretation of data which occur in daily life (polls, weather forecasting, surveys, quality control, etc.) will be stressed. Prerequisite:
MATH 1320,
MATH 1409, or
MATH 1508, or equivalent.
2182 Computing Laboratory for Statistics 2380 (0-2)
Practical exercises in the handling of statistical data and experimental sampling as related to the course work in
STAT 2380. Includes an introduction to data processing.
Corequisite:
STAT 2380.
2380 Statistical Methods I (3-0)
An elementary introduction to statistical concepts and methods. Descriptive statistics, elementary probability, binomial distribution, normal distribution, estimation
and hypothesis testing for one- and two-sample problems, simple linear regression, and correlation. Corequisite:
STAT 2182. Prerequisite:
MATH 1320,
MATH 1409, or
MATH 1508, or equivalent.
2381 Statistical Methods II (3-0)
A continuation of Statistics 2380 with treatment of more advanced statistical methods. Chi-square goodness-of-fit and contingency table analysis, analysis of variance
and multiple comparisons, multiple linear regression and correlation and analysis. Prerequisites:
STAT 2380-
STAT 2182.
General Prerequisite: All required lower-division courses in the major should be completed with a grade of "C" or better in order to enroll in upper-division courses in
the major. Some upper-division courses may be applied toward graduate degrees; consult the Graduate Studies Catalog for the listing of these courses.
3330 Probability (3-0)
Theory and applications of probability models. Sample space, combinatorics, conditional probability, random variables, discrete and continuous probability
distributions, expectation, moment generating functions, law of large numbers, and central limit theorem. Prerequisite:
MATH 2313.
3381 Nonparametric Statistical Methods (3-0)
Distribution-free procedures; Nonparametric one- and two-sample tests for location and scale; nonparametric analysis of variance; nonparametric correlation.
Prerequisite:
STAT 2380 or
STAT 4380.
4380 Statistics I (3-0)
A calculus-based development of statistical concepts and methods. Distribution theory, point and interval estimation and hypothesis testing in parametric
statistical models, chi-square goodness-of-fit and contingency table analysis, simple linear regression analysis, and introduction to analysis of variance. Prerequisite:
STAT 3330.
See the Graduate Studies Catalog for graduate programs and courses.