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MATH 3010: Seminar in Problem-Solving Techniques
1.00 Credits
University of North Texas
3010. Seminar in Problem-Solving Techniques. 1 hour. Problem-solving techniques involving binomial coefficients, elementary number theory, Euclidean geometry, properties of polynomials and calculus. May be repeated for credit.
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MATH 3310: Differential Equations for Engineering Majors
3.00 Credits
University of North Texas
3310. Differential Equations with Applications. 3 hours. First order linear equations, separable equations, second order linear equations, method of undetermined coefficients, variation of parameters, regular singular points, Laplace transforms, 2x2 and 3x3 first order linear systems, phase plane analysis, introduction to numerical methods and various applications. Topics include motion problems, electric circuits, growth and decay problems, harmonic oscillators, simple pendulums, mechanical vibrations, Newton's law of gravity and predator-prey problems. Recommended for engineering majors. Only one of 3310 and 3410 may be used to satisfy requirements for a mathematics major or minor. Prerequisite(s): MATH 1720.
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MATH 3350: Introduction to Numerical Analysis
3.00 Credits
University of North Texas
3350. Introduction to Numerical Analysis. 3 hours. Description and mathematical analysis of methods used for solving problems of a mathematical nature on the computer. Roots of equations, systems of linear equations, polynomial interpolation and approximation, least-squares approximation, numerical solution of ordinary differential equations. Prerequisite(s): MATH 2700 and computer programming ability.
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MATH 3400: Number Theory
3.00 Credits
University of North Texas
3400. Number Theory. 3 hours. Factorizations, congruencies, quadratic reciprocity, finite fields, quadratic forms, diophantine equations. Prerequisite(s): MATH 2510 or MATH 2770.
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MATH 3410: Differential Equations I
3.00 Credits
University of North Texas
3410. Differential Equations I. 3 hours. First-order equations, existence-uniqueness theorem, linear equations, separation of variables, higher-order linear equations, systems of linear equations, series solutions and numerical solutions. Prerequisite(s): MATH 1720 and MATH 2700.
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MATH 3420: Differential Equations II
3.00 Credits
University of North Texas
3420. Differential Equations II. 3 hours. Ordinary differential equations arising from partial differential equations by means of separation of variables; method of characteristics for first-order PDEs; boundary value problems for ODEs; comparative study of heat equation, wave equation and Laplace's equation by separation of variables and numerical methods; further topics in numerical solution of ODEs. Prerequisite(s): MATH 2700 and 3410.
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MATH 3510: Introduction to Abstract Algebra
3.00 Credits
University of North Texas
3510. Introduction to Abstract Algebra I. 3 hours. Groups, rings, integral domains, polynomial rings and fields. Prerequisite(s): MATH 2510.
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MATH 3520: Abstract Algebra II
3.00 Credits
University of North Texas
3520. Abstract Algebra II. 3 hours. Topics from coding theory, quadratic forms, Galois theory, multilinear algebra, advanced group theory, and advanced ring theory. Prerequisite(s): MATH 3510.
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MATH 3610: Real Analysis II
3.00 Credits
University of North Texas
3610. Real Analysis II. 3 hours. Continuation of 3000. Topics include derivatives, integrals, limits of sequences of functions, Fourier series; and an introduction to multivariable analysis. Prerequisite(s): MATH 3000 and 2700 (may be taken concurrently).
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MATH 3680: Applied Statistics
3.00 Credits
University of North Texas
3680. Applied Statistics. 3 hours. Descriptive statistics, elements of probability, random variables, confidence intervals, hypothesis testing, regression, contingency tables. Prerequisite(s) : Math 1710 and either credit for Math 1720 or concurrent enrollment in Math 1720.
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