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MTH 322: Differential Equations
4.00 Credits
La Salle University
4 credits Analytical, graphical, and numerical techniques for first and higher order differential equations; Laplace transform methods; systems of coupled linear differential equations; phase portraits and stability; applications in the natural and social sciences. Prerequisite: MTH 221.
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MTH 322 - Differential Equations
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MTH 330: Modern Geometries
3.00 Credits
La Salle University
3 credits Topics from Euclidean geometry including motions and similarities, collinearity and concurrence theorems, compass and straightedge constructions; the classical non-Euclidean geometries; finite geometries. Prerequisite: MTH 240.
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MTH 330 - Modern Geometries
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MTH 341: Abstract Algebra
3.00 Credits
La Salle University
3 credits Sets and mappings; groups, rings, fields, and integral domains; substructures and quotient structures; homomorphisms and isomorphisms; abelian and cyclic groups; symmetric and alternating groups; polynomial rings. Prerequisite: MTH 302.
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MTH 341 - Abstract Algebra
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MTH 345: Combinatorics
3.00 Credits
La Salle University
3 credits Permutations and combinations; generating functions; recurrence relations and difference equations; inclusion/exclusion principle; derangements; other counting techniques, including cycle indexing and Polya's method of enumeration. Prerequisite: MTH 221.
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MTH 370-373: Selected Topics in Mathematics
3.00 Credits
La Salle University
3 credits An introduction to specialized areas of mathematics. The subject matter will vary from term to term. Prerequisite: junior Mathematics standing.
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MTH 370-373 - Selected Topics in Mathematics
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MTH 405: History of Mathematics
3.00 Credits
La Salle University
3 credits In-depth historical development of arithmetic, algebra, geometry, trigonometry, and calculus in Western mathematics (Europe and Near East) from ancient times into the 1700s; highlights from the mathematical work of such figures as Hippocrates, Euclid, Archimedes, Heron, Diophantus, Fibonacci, Cardano, Napier, Descartes, Fermat, Newton, and Leibniz; non-Euclidean geometry (1800s); important contributions of Euler and Gauss; the advent of computers. Prerequisite: MTH 302.
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MTH 410: Probability And Statistics I
3.00 Credits
La Salle University
3 credits Sample spaces and probability measures; descriptive statistics; combinatorics, conditional probability and independence; random variables, joint densities and distributions; conditional distributions; functions of a random variable; expected value and variance; Chebyshev's inequality; correlation coefficient; laws of large numbers; the Central Limit Theorem; various distribution models; introduction to confidence intervals. Prerequisite: MTH 222.
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MTH 410 - Probability And Statistics I
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MTH 411: Probability And Statistics II
3.00 Credits
La Salle University
3 credits Measures of central tendency and variability; random sampling from normal and non-normal populations; estimation of parameters; maximum likelihood estimates; confidence intervals and hypothesis testing; normal, chi-square, Student's t and F distributions; analysis of variance; randomized block design; correlation and regression; goodness of fit; contingency tables. Prerequisite: MTH 410.
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MTH 421: Numerical Analysis
4.00 Credits
La Salle University
4 credits Basic concepts; interpolation and approximations; summation and finite differences; numerical differentiation and integration; roots of equations. Prerequisite: MTH 222
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MTH 421 - Numerical Analysis
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MTH 424: Complex Variables
3.00 Credits
La Salle University
3 credits Analytic functions; Cauchy-Riemann equations; Cauchy's integral theorem; power series; infinite series; calculus of residues; contour integration; conformal mapping. Prerequisite: MTH 222 or permission of the instructor.
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MTH 424 - Complex Variables
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