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8 MATH 1312     Calculus II (3-0) |
|                                 Continuation of MATH 1411. Topics include special methods of integration and Applications; infinite series. |
|                                 Prerequisite: MATH 1411. |
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| 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. |
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| 8 MATH 1508     Precalculus (5-0)
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|                                 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. |
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| 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. |
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| 8 MATH 2313     Calculus III (3-0) |
|                                 Continuation of MATH 1312. Topics include solid analytic geometry, partial differentiation, and multiple |
|                                 integrals. Prerequisite: MATH 1312. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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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