Home Openings for Ph.D. positions in Computer Science                   Dr Argaez will be teaching Math 5370                   Spring 2008 Topic: Research in Optimization  
 
 
 
DEGREE PLAN
 
 
 
8 MATH 1312     Calculus II (3-0)
                                Continuation of MATH 1411. Topics include special methods of integration and Applications; infinite series.
                                Prerequisite: MATH 1411.
     
8 MATH 1411     Calculus 1 (4-0)
                                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 1508.
     
8 MATH 1508     Precalculus (5-0)
                                Topics include the algebraic manipulation and graphical representation of the following classes of real
                                functions: linear, polynomial, rational, exponential, logarithmic, and trigonometric. Inverse functions, triangle
                                trigonometry, complex numbers, and polar coordinates are included. Prerequisite: MATH 0311 or an
                                adequate score on a placement examination.
     
8 MATH 2300     Discrete Mathematics (3-0)
                                Continuation of MATH 1411. Topics in discrete mathematics including induction, recursion and recurrence
                                relations, sets and relations, combinatorics, and graph theory.Prerequisite: MATH 1411.
     
8 MATH 2313     Calculus III (3-0)
                                Continuation of MATH 1312. Topics include solid analytic geometry, partial differentiation, and multiple
                                integrals. Prerequisite: MATH 1312.
     
8 MATH 2326     Differential Equations (3-0)
                                An analytical, graphical, and numerical study of first order equations and system of equations, modeling,
                                bifurcations, linearization, and Laplace transforms. Prerequisite: MATH 1312.
     
8 MATH 3323     Matrix Algebra (3-0)
                                Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, diagonalization,
                                vector spaces, and linear transformations.Prerequisite: MATH 1312.
     
8 MATH 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.
     
8 MATH 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.
     
8 MATH 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. Prerequisite: MATH 3323
                                or MATH 4326 with a grade of “C” or better, and a working knowledge of a high level programming language.
     
8 MATH 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.
     
8 STAT 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.
                                or MATH 3326.
     
8 STAT 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 .
     
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