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Course Criteria
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4.00 Credits
Derivatives and integrals involving exponential and logarithmic functions. Inverse trigonometric functions. Hyperbolic functions. L'Hopital's rule. Techniques of integration.Substitution. Trigonometric substitution. Parametric equations. Polar coordinates. Integration by parts. Integration via partial fraction expansion. Integral tables and symbolic manipulation software. Improper integrals. Infinite sequences and series. Taylor and MacLaurin series. Applications from geometry, engineering and physics. Prerequisite: "C" orbetter in Mathematics 110. 4 semester hours
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3.00 Credits
Students entering the Mathematics Cooperative Education Program take this course each semester that they are employed full-time in paid work assignments. A written report will be required describing achievements resulting from the work experience. Prerequisite: Completion of at least 30 semester hours and permission of the Department. 1 semester hour with a maximum of 6 semester hours to be applied to the degree
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3.00 Credits
A non-calculus introduction to applied statistics for business, life and social science students. Probability. Classification of data, averages, dispersion, frequency distributions, confidence intervals, and test of significance. Elementary linear regression and correlation. The course will make extensive use of MINITAB? statistical software. Prerequisite: "C" or better in Mathematics C105. 3 semester hours
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3.00 Credits
This course is designed to provide the mathematical background and basic concepts needed in upper division mathematics and computer science courses. Topics covered include basic logic, methods of proof, set theory, relations and functions, development of real number system, and an introduction to Boolean algebra. Required of mathematics major and strongly recommended for all science and engineering majors. Prerequisite: "C" or better in Mathematics 109 or equivalent. 3 semester hours
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3.00 Credits
System of linear equations and matrix algebra, determinants, vector spaces, eigenvectors, linear transforms and inner product spaces. Required of mathematics majors. Prerequisite: "C" or better in Mathematics 110. 3 semester hours
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4.00 Credits
Vectors; two and three-dimensional vector spaces, Cartesian coordinates, scalar and vector product, triple products, normal vectors and curvature, tangential vectors. Partial differentiation; functions of several variables, linear approximations, extrema of surfaces, Lagrange multipliers. Vector calculus and analytic geometry, gradient of a scalar function, divergence and curl of vector functions. Coordinate systems; spherical and cylindrical coordinates. The Jacobian of transformation. Multiple integrals in Cartesian and other coordinate systems. Areas and volumes. Stroke's Theorem and Green's Theorem.Prerequisite:"C"or better in Mathematics 112. 4 semester hours
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3.00 Credits
This course is an introduction to some of the discrete mathematical structures relevant to computer science, including set theory, propositional calculus, predicate calculus, algebraic operations and relations, counting techniques and graph theory. Required of Math majors. Identical to Computer Science 227. Prerequisite: "C" or better in Mathematics109. 3 semester hours
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3.00 Credits
A course in ordinary differential equations (ODEs). Classification of ODEs. Existence and uniqueness theorems. Solution of first and second order linear ODEs. Nonlinear, exact, homogeneous and higher order ODEs. Power series and Laplace transform solutions. System of ODEs. Applications include topics in the physical, natural and social sciences, engineering, finance and ecology. Prerequisite: "C" or better in Mathematics 112. 3 semester hours
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3.00 Credits
A first course dealing with basic numerical methods for finding roots of non-linear equations, interpolation theory, approximation of functions, numerical integration and differentiation, numerical solutions of systems of linear equations, the matrix eigenvalue problem and the numerical solutions of ordinary differential equations. Prerequisite: Computer Science 101 and "C" or better in Mathematics 112. 3 semester hours
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3.00 Credits
Fundamental properties of integers, divisibility, primes. Algorithms and factorization. Congruence and diophantine equations. Number theoretic functions. Order and primitive roots. Elementary results on the distribution of primes. Applications in cryptography. Especially recommended for prospective secondary school teachers. Prerequisite: "C"or better in Mathematics 215 or permission of the instructor. 3 semester hours
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