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MATH 311: Mathematical Statistics I
3.00 Credits
Xavier University
Probability, probability distributions, characteristics of distributions, sampling, estimation.
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MATH 311 - Mathematical Statistics I
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MATH 312: Mathematical Statistics II
3.00 Credits
Xavier University
Hypothesis testing, confidence intervals, regression, analysis of variance, nonparametric tests. Pre-requisite: MATH 311.
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MATH 312 - Mathematical Statistics II
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MATH 321: Numerical Analysis
3.00 Credits
Xavier University
Accuracy, function evaluation and approximation, systems of linear equations, nonlinear equations, numerical differentiation and integration, and solutions to differential equations. Pre-requisite: CSCI 170 and MATH 171
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MATH 321 - Numerical Analysis
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MATH 325: Mathematical Modeling
3.00 Credits
Xavier University
The synthesis, formulation and solution of various problems in applied mathematics and related fields.
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MATH 325 - Mathematical Modeling
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MATH 330: Graph Theory
3.00 Credits
Xavier University
Graphs, subgraphs, trees, isomorphism, Eulerian and Hamiltonian paths, planarity, digraphs, connectivity, and chromatic number. Other topics may be included.
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MATH 330 - Graph Theory
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MATH 340: Abstract Algebra I
3.00 Credits
Xavier University
Groups, isomorphism, homomorphism, normal subgroups, rings, ideals, fields. Pre-requisite: MATH 240.
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MATH 340 - Abstract Algebra I
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MATH 341: Abstract Algebra II
3.00 Credits
Xavier University
A continuation of MATH 340. Topics may include Boolean algebra, lattice theory, combinational group theory, coding theory, Galois theory, commutative rings. Pre-requisite: MATH 340.
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MATH 341 - Abstract Algebra II
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MATH 360: Elementary Topology
3.00 Credits
Xavier University
Metric spaces, topological spaces, continuity, convergence, compactness, connectedness, and separation axioms.
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MATH 360 - Elementary Topology
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MATH 370: Real Analysis
3.00 Credits
Xavier University
Rigorous development of calculus of functions of a single variable. The real number system, topology of the real line, continuity, uniform continuity, the derivative, the Riemann integral, sequences and series of real numbers, and uniform convergence.
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MATH 370 - Real Analysis
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MATH 372: Applied Analysis
3.00 Credits
Xavier University
Special functions, orthogonal sets of functions. Sturm-Liouville theory. Partial Differential Equations. Fourier series, integrals and transforms.
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MATH 372 - Applied Analysis
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