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Course Criteria
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5.00 Credits
3 (3 + 0) Prerequisite: MTH 3100 or Permission of instructor This course introduces the basic concepts of number theory including the Euclidean algorithm, congruences, number-theoretic functions, and the Chinese remainder theorem.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 3210 with a grade of "C" or better and Senior standing, or Permission of instructorThis is a course in the theory of discrete and continuous probability with applications in the sciences and engineering. It includes sample spaces, combinatorial probability, random variables, sets of random variables and random sequences, conditional probability, expectation, and special distributions. It also includes beginning analysis of Markov chains. (Senior Experience)
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 3220 with a grade of "C" or better, or Permission of instructorThis course will cover advanced methods in statistics, including regression and multivariate analysis. Additional topics will be chosen from time series, survival analysis, sampling, bootstrap methods, Taguchi designs, or others chosen by the instructor. The students will use statistical computer packages.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 4210 with a grade of "C" or better; or permission of instructorThis course covers the general mathematical theory that governs statistical inference. This includes a review of distribution theory and sampling distributions, theory of point estimation, theory of hypothesis testing, and theory of confidence intervals. In addition, it introduces decision theory and Bayesian analysis.
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5.00 Credits
1 (1 + 0) Prerequisite: MTH 3210, MTH 3220, MTH 4210, and Permission of instructor In this course, students will apply the statistical techniques covered in previous course work to a real-world situation. The students will write a report containing a description of the problem, statistical tools used, design of experiments, analysis, and results of the study.
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5.00 Credits
1 (1 + 0) Prerequisite: Senior standing in mathematics and Permission of instructor This course will provide each student a closer examination of selected topics from the required core courses and from four upper-division mathematics courses selected from courses the student has taken. The course will concentrate on allowing the students to increase their theorem-proving and problem-solving skills.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 2420, MTH 3100, and Senior standing, or Permission of instructor This is the first course of a two-semester sequence that includes a treatment of calculus with emphasis on proofs of theorems. The topics covered will be selected from: structure of the real number system, infinite series, vector calculus, applications of partial differentiation, integration, and function theory. (Senior Experience)
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5.00 Credits
3 (3 + 0) Prerequisite: MTH 4410 or Permission of instructor This course is a continuation of MTH 4410.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 2420 or Permission of instructor This course is an introduction to complex numbers, analytic functions, conformal mapping, contour integrals, and residues and poles.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 1510 or CS 1050, MTH 3140 or MTH 2140, MTH 2410 , all with a grade of "C" or better, Senior standing, and knowledge of Mathematica, or Permission of instructor; knowledge of Mathematica can be satisfied by MTH 2530 or both first- and second-semester calculus where Mathematica is usedThis course includes numerical solutions of algebraic and transcendental equations, numerical differentiation and integration, numerical linear algebra, and polynomial interpolation. The use of a computer is an essential part of this course. (Senior Experience)
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