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MATH 3051: Mathematical Probability and Statistics I
3.00 Credits
Xavier University of Louisiana
Usually offered fall semester. Introduction to concepts of probability and random variables. Discrete and continuous distributions with applications. Algebra of expectations. Covariance and correlation of two random variables. Prerequisite: Grade of "C" or better in MATH 2550 or permission of theinstructor. Corequisite: MATH 2080. (3 Credits)
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MATH 3051 - Mathematical Probability and Statistics I
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MATH 3061: Mathematical Probability and Statistics II
3.00 Credits
Xavier University of Louisiana
Usually offered spring semester. Purpose and nature of sampling, particularly from normal populations. Chi-square, t, and F distributions. Formulating and testing statistical hypotheses, point and interval estimation. Prerequisite: Grade of "C" or better in MATH 3051 (or STAT 3051). (3 Credits)
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MATH 3061 - Mathematical Probability and Statistics II
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MATH 3110: Applied Mathematics
3.00 Credits
Xavier University of Louisiana
Usually offered spring semester. Applications of different topics in mathematics with emphasis on modeling techniques. Prerequisites: Grade of "C" or better in MATH 2030 or permission of the instructor. (3 Credits)
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MATH 3110 - Applied Mathematics
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MATH 3750: Complex Variables and Applications
3.00 Credits
Xavier University of Louisiana
Usually offered every other spring semester. Theory and application of complex numbers, complex mappings, analytic and holomorphic functions. Prerequisite: MATH 2080 with a grade of "C" or better. (3 Credits)
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MATH 3750 - Complex Variables and Applications
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MATH 4001: Mathematical Problem Solving I
3.00 Credits
Xavier University of Louisiana
Usually offered fall and spring semesters. Helps students develop strategies and abilities for solving complex mathematical problems. Focus is on problems not covered in ordinary course work from a variety of areas in mathematics with emphasis on differential and integral calculus, differential equations, and their applications. Places strong emphasis on critical reasoning, synthesis, and clarity of written expressions. Prerequisite: Grade of "C" or better in each of MATH 2080 and MATH 2530. (1 Credit)
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MATH 4001 - Mathematical Problem Solving I
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MATH 4002: Mathematical Problem Solving II
3.00 Credits
Xavier University of Louisiana
Usually offered fall and spring semesters. Helps students develop strategies and abilities for solving complex mathematical problems. Focus is on problems not covered in ordinary course work from a variety of areas in mathematics with emphasis on discrete mathematics, linear algebra, abstract algebra, and their applications. Places strong emphasis on critical reasoning, synthesis, and clarity of written expressions. Prerequisite: Grade of "C" or better in MATH 2030, MATH 2550 and MATH 2560. (1 Credit)
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MATH 4002 - Mathematical Problem Solving II
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MATH 4010: Modern Geometry
3.00 Credits
Xavier University of Louisiana
Elementary foundations of geometry from a rigorous point of view, concepts in advanced Euclidean, projective, and non-Euclidean geometry. Prerequisites: Grade of "C" or better in MATH 2070 and MATH 2560 or permission of instructor. (3 Credits)
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MATH 4010 - Modern Geometry
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MATH 4030: History of Mathematics
3.00 Credits
Xavier University of Louisiana
A general survey of the main trends in the development of mathematics from ancient times to the present. The cultural and social contexts of mathematical activity will be studied along with the classic problems. Intensive reading required. Prerequisites: Grade of "C" or better in MATH 2080 and MATH 4010. (3 Credits)
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MATH 4030 - History of Mathematics
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MATH 4050: Advanced Calculus I
3.00 Credits
Xavier University of Louisiana
Usually offered fall semester. Real number system; Sequences -- their limit, Bolzano-Weistrass Theorem; Limits of functions; Continuous functions, uniform continuity. Prerequisites: Grade of "C" or better in MATH 2080 and MATH 2560 or permission of instructor. (3 Credits)
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MATH 4050 - Advanced Calculus I
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MATH 4060: Advanced Calculus II
3.00 Credits
Xavier University of Louisiana
Usually offered spring semester. Differentiation, Riemann- Stieltjes integration; Sequences of functions -- uniform convergence, Infinite series. Prerequisites: Grade of "C" or better in MATH 4050 or permission of instructor. (3 Credits)
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MATH 4060 - Advanced Calculus II
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