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MATH 405: Partial Differential Equations
3.00 Credits
University of Louisiana-Monroe
Fourier series, boundary value problems, partial differential equations, special functions, with an emphasis on applications. Prerequisite: MATH 301.
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MATH 405 - Partial Differential Equations
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MATH 406: Theory of Functions of a Complex Variable
3.00 Credits
University of Louisiana-Monroe
Real and complex numbers, differentiation and integration of functions of a complex variable, mapping by elementary functions, transformations, infinite series, and theory of residues and poles. Prerequisite: MATH 232.
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MATH 406 - Theory of Functions of a Complex Variable
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MATH 407: History of Mathematics
3.00 Credits
University of Louisiana-Monroe
University Capstone Course. Selected topics on the development of mathematics as a human endeavor; numeration systems; growth of algebra, trigonometry, geometry, and the calculus; contributions from various cultures; selected biographies of mathematicians. Prerequisites: A grade of "C" or better in MATH 240 and either MATH 380 or MATH 386.
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MATH 407 - History of Mathematics
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MATH 409: Cryptology
3.00 Credits
University of Louisiana-Monroe
Introduction to modern applications of mathematics. Private key ciphers, including shift, affine and vigenere; attacks on these ciphers. Modern public key ciphers including RSA and Knapsack. Prerequisite: A grade of "C" or betterin Math 240 or permission of the instructor.
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MATH 409 - Cryptology
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MATH 411: Fundamentals of Middle School Mathematics I
3.00 Credits
University of Louisiana-Monroe
For the middle-school teacher; number concepts and relationships; geometry and measurement; algebra and algebraic structures. Emphasis is on teaching mathematics at the middle school level. Not applicable toward a major nor minor in mathematics at undergraduate or graduate level. Applies to elementary and middle school certification.
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MATH 411 - Fundamentals of Middle School Mathematics I
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MATH 412: Fundamentals of Middle School Mathematics II
3.00 Credits
University of Louisiana-Monroe
Probability and statistics for the middle-school teacher. Topics include, but are not restricted to, data analysis and basic concepts of probability and statistics. Not applicable toward a major nor minor in mathematics at undergraduate or graduate level. Applies to elementary and middle school certification.
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MATH 412 - Fundamentals of Middle School Mathematics II
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MATH 417: Advanced Real Analysis
3.00 Credits
University of Louisiana-Monroe
Sequences and series of vector-valued functions of several real variables and their convergence; continuity, differentiation, and integration of vector- valued functions of several real variables. Prerequisite: A grade of "C" orbetter in MATH 380.
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MATH 417 - Advanced Real Analysis
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MATH 419: Topology
3.00 Credits
University of Louisiana-Monroe
Point sets, axiomatic bases, topology of the line and the plane. Emphasis on connectedness, compact sets and continuous transformations. Prerequisite: MATH 202 and 232.
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MATH 419 - Topology
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MATH 420: Introduction to Biostatistics I
3.00 Credits
University of Louisiana-Monroe
An introduction to the discipline of statistics and its application to problems of biology, including human biology, medicine, and public health. Topics include Bayesian inferences, estimation techniques, hypothesis testing, goodness of fit, and analysis of variance. Prerequisite: MATH 114 or MATH 131 or permission of the department head and junior standing or above. (Same as Computer Science 420).
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MATH 420 - Introduction to Biostatistics I
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MATH 421: Introduction to Biostatistics II
3.00 Credits
University of Louisiana-Monroe
A continuation of 420. Topics include linear and multiple regression, logistics regression, longitudinal data analysis, nonparametric methods and principle component techniques. Prerequisite: MATH 420 or CSCI 420 and junior standing or above. (Same as Computer Science 421).
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MATH 421 - Introduction to Biostatistics II
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