GO:    [ UTEP Home Page ]    [ Catalog Index ]    [ College of Science ]    [ Core Curriculum ]    [ University Map ]

COLLEGE OF SCIENCE

  • College Information
  • Biological Sciences
  • Chemistry
  • Geological Sciences
  • Mathematical Sciences
  • Physics
    Dr. Thomas E. Brady,
    Dean
    Dr. Larry P. Jones,
    Associate Dean
    Dr. Pablo Arenaz,
    Associate Dean for
    Entering Students
    Dr. Jorge A. Lopez,
    Assistant Dean Bell Hall, Room 100
    Phone: (915) 747-5536
    Fax: (915) 747-6807
    E-mail: science@utep.edu

    		• Mathematical Sciences
    124 Bell Hall
    Phone: (915) 747-5761
    E-mail: mathdept@math.utep.edu

    CHAIRPERSON: Joe A. Guthrie
    PROFESSORS EMERITI: Delmar Lee Boyer, William Joseph Leahey
    PROFESSORS: Guthrie, Kaigh, Moschopoulos, Nymann, Rojo, Schuster, Srinivasan
    ASSOCIATE PROFESSOR EMERITUS: Charles Herman Gladman
    ASSOCIATE PROFESSORS: Duval, Foged, Gray, Gregory, Hall, Khamsi, Knaust, Liguori, Narvarte, Sewell, Staniswalis, Wojciechowski
    ASSISTANT PROFESSORS: Dennis, Lopp, Marcus, O'Neill, Thurman, Valdez-Sanchez

    Baccalaureate Degrees

    The department of Mathematical Sciences offers both a BA degree and a BS degree in Mathematics and the BS in Applied Mathematics. The BA in Mathematics allows for a concentration in Teacher Certification. The BS in Mathematics allows for concentrations in Actuarial Sciences, Secondary Education, and Statistics.

    Registration for each course in Mathematical Sciences (with a MATH or STAT prefix) requires a minimum grade of "C" in all prerequisite courses.

    BS in Mathematics

    The requirement to obtain the BS in Mathematics consists of the general College of Science requirements plus the following specific requirements:

      Major (37 semester hours including 24 semester hours of upper-division course work): MATH 1411, MATH 1312, MATH 2313, MATH 3326 or MATH 2326, MATH 3325, MATH 3341, MATH 4326, MATH 4341, STAT 3330, and 9 additional semester hours of upper-division courses in Mathematical Science.
      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. Secondary certification requires a minor in secondary education in addition to one of the above minors. Students seeking secondary certification may also obtain the BA in mathematics, where only the minor required is the College of Liberal Arts Secondary Education minor. See the College of Liberal Arts for the general education requirements of that college.
      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.
      Additional Science: The required physics sequence above may be used to satisfy this requirement or toward a Physics minor, but not both.

    Actuarial Sciences Concentration--This concentration requires the following changes:

    Secondary Education Concentration--This concentration requires a second minor in Secondary Education. In addition:

    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:

    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.

     

      [top of page]

    UTEP
    		 The University of Texas at El Paso
    Developed by the UTEP Web Development Team
    Revised: February 26, 2001