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MATH 3453 MATHEMATICAL STATISTICS Classical probability theory, discrete and continuous random variables and their probability distributions, properties of expectation, moment generating functions, sampling distributions and the central limit theorem are some of the topics. Prerequisite: MATH 2834. FO MATH 3473 INTRODUCTION TO PROBABILITY Basic concepts of discrete probability are discussed, such as counting techniques, independence, conditional probability, Bayes’ Rule, random variables, random walks, and Markov chains. Prerequisite: MATH 2834. SO MATH 3533 TECHNOLOGY AND PROGRAMMING IN MATHEMATICS This course will be an introduction to computers and calculators for students of mathematics. Topics will be selected from: uses of the internet for the study of mathematics, graphing calculators, computer software, and programming for solving mathematical problems. Prerequisite: MATH 1834. F MATH 3553 NUMERICAL ANALYSIS Derivation, evaluation, and application of numerical methods of applied mathematics. Computer programming solutions to roots of equations, difference and differential equations, numerical integration, and linear algebra problems. Prerequisite: MATH 2834 and any scientific programming language . D MATH 3653 LINEAR ALGEBRA Solutions to systems of linear equations. Topics include matrices and their properties; vector spaces, linear independence, bases, and dimension; linear transformations, null spaces and change of bases; and eigenvalues, eigenvectors, and diagonalization. Prerequisite: MATH 2834 or departmental approval. S MATH 3673 ELEMENTARY NUMBER THEORY A study including primes and composites, number theoretic functions, Diophantine equations, congruence classes, and mathematical induction. Prerequisite: MATH 2834 or departmental approval. SE MATH 3713 COLLEGE GEOMETRY An axiomatic development of the essentials of Euclidean geometry and an introduction to non-Euclidean geometry. Content includes the foundations of Euclidean geometry (points, lines, angles, triangles, quadrilaterals, circles), parallelism in Euclidean geometry, transformations and isometries, and parallelism in non-Euclidean geometry (with the focus on hyperbolic geometry). Prerequisite: MATH 2834 or departmental approval. S MATH 3834 CALCULUS III A course in multivariable calculus and its applications. Topics include vectors in two and three dimensions; differential calculus of functions of several variables, gradient, and optimization; multiple integration and change of coordinates; vector fields, line integrals, surface integrals, Green’s Theorem, Gauss’ Theorem, and Stokes’ Theorem. Prerequisite: MATH 2834 or equivalent. F, S MATH 4001-4 INDIVIDUAL STUDY IN MATHEMATICS (TOPIC) Independent study of specific topic in mathematics for undergraduate students. Credit one to four semester hours. D MATH 4011-4 SEMINAR IN MATHEMATICS (TOPIC) Group study of specified topic in mathematics for undergraduate students. Credit one to four semester hours. D MATH 4013 SEMINAR IN MATHEMATICS The following courses are generally offered under this course number:
inverses are studied. Zeros of polynomials are studied in the contexts of graphs and synthetic substitution. Systems of equations are introduced and applications of linear, quadratic, exponential and logarithmic models are included throughout. Prerequisite: ACT Math subscore of 19 or higher, or MATH 0133, or departmental approval, or placement by examination. F, S, SU MATH 1613 COLLEGE TRIGONOMETRY The basic course stressing trigonometric functions, periodicity, identities, and solution of triangles. Prerequisite: MATH 1513, or departmental approval, or placement by examination. F, S MATH 1834 CALCULUS I The first of a three-course sequence in analytical geometry and calculus. Limits, Continuity, differentiation, integration, applications. Prerequisites: MATH 1513 and MATH 1613 or equivalent, or placement by examination. F, S MATH 2001-3 INDIVIDUAL STUDY IN MATHEMATICS (TOPIC) Independent study of a specific topic in mathematics for undergraduate A survey of calculus and its applications to business, life, and social sciences. Limits, beginning techniques of differentiation and integration, exponential and logarithmic functions, maxima, minima and partial differentiation. Prerequisite: MATH 1513. F, S MATH 2834 CALCULUS II A continuation of Calculus I, Analytical Geometry and Calculus. Applications and techniques of integration, sequences, and series, conics, parametric equations, polar coordinates, and vectors. Prerequisite: MATH 1834. F, S MATH 3113 FOUNDATIONS IN MATHEMATICS students. Credit one to three semester hours. D MATH 2823 APPLIED CALCULUS An introduction to basic concepts upon which mathematics is founded. Logic, set theory, proof-writing techniques, equivalence relations, mappings. Prerequisite: MATH 2834 or departmental approval. F MATH 3413 STATISTICAL METHODS I A first course in statistics for students with a modest background in mathematics that includes describing data graphically using bar graphs, pie charts, and histograms and describing data numerically using numerical measures of central tendency and variability; basic probability concepts; types of random variables; probability distributions with emphasis on binomial and normal distributions; confidence intervals for population mean or proportion for one or two populations; test of hypothesis about a population mean or proportion for one or two populations; and simple linear regression. There is an emphasis in this class on applications to business, biological and physical sciences, political science, and education. Prerequisite: MATH 1513. F MATH 3433 STATISTICS I A first course in statistics that reviews and applies the topics of descriptive and inferential statistics. The course includes describing data graphically using bar graphs, pie charts, and histograms and numerically using numerical measures of central tendency and variability; basic probability concepts such as sample space probability, the rule of complements, the general addition rule, and the independent event multiplication rule; probability distributions such as the uniform, binomial, hypergeometric, Poisson, normal, t-, and chi-square distributions; constructing and interpreting confidence intervals for population mean or proportion for one or two populations; constructing and interpreting test of hypothesis about a population mean or proportion for one or two populations; and simple linear regression. Prerequisite: MATH 1513. S
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