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Course Criteria
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3.00 Credits
3] Designed to introduce basic concepts of probability, random sampling, data organization, measures of central tendency and variability, binomial and normal probability distributions, statistical inference, elements of hypothesis testing, one- and twosample tests for means and proportions, chisquare tests for tabular data, an introduction to linear regression and correlation. Prerequisite: Two years of algebra.
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3.00 Credits
3] Designed to introduce the student to a variety of mathematical fields and some of their contemporary applications. Topics selected from logic, set theory, mathematical systems, recursive sequences, probability, statistics, game theory, linear programming, graph theory, computer programming, voting methods, and topology. Prerequisite: Two years of algebra.
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4.00 Credits
Sets, operations on sets, historical background for numeration, system of natural numbers, number bases, systems of integers, rational numbers, real numbers, metric geometry, modular systems, groups, fields, rings, integral domains, relations, and functions. A two-hour laboratory period per week is included. Note: This course does not satisfy the mathematics portion of the general education requirements in Arts and Sciences. Prerequisite: Two years of algebra.
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4.00 Credits
A study of linear and quadratic equations and inequalities; the Cartesian coordinate system for the plane; and the algebra and graphing of functions with special emphasis on polynomial, exponential, and logarithmic functions. Definitions and graphs of the trigonometric functions; solutions of triangles; analytic trigonometry, including circular and inverse trigonometric functions. Solutions of word problems are stressed throughout. A programmable graphing calculator is required. The goal is to prepare students for M 144. Prerequisite: Two years of algebra.
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4.00 Credits
Functions; limits; continuity; differentiation of algebraic, trigonometric, logarithmic, and exponential functions; applications of derivatives; and an introduction to integration. Prerequisite: M 140 or equivalent.
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4.00 Credits
Techniques of integration, indeterminate forms, improper integrals, infinite sequences and series, and separable differential equations. Prerequisite: M 144.
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1.00 - 4.00 Credits
Investigates mathematical topics not covered in the regular curriculum. Prerequisite: M 221W or permission of department.
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3.00 Credits
Linear equations and matrix algebra, determinants, vector spaces, linear independence and bases, linear transformations and their matrix representations, eigenvalues and eigenvectors, diagonalizable matrices. Selected topics from quadratic forms, linear programming, inner product spaces, or numerical linear algebra. Prerequisite: M 145. (Writing-intensive course)
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4.00 Credits
Topics include propositional calculus, combinatorics, graph isomorphisms, paths, planarity, colorability, trees and graph algorithms, occupancy problems, generating functions, and recurrence equations. Prerequisite: M 145. (Writingintensive course)
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4.00 Credits
A formal introduction to the basic concepts of modern abstract mathematics. Topics include symbolic logic, predicate calculus, methods of proof, elements of set theory, functions, relations, cardinality, and graph theory. Prerequisite: M 221W. (Writing-intensive course)
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