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MATH 351: Mathematical Statistics
3.00 Credits
University of San Diego
Statistical models, estimation, hypothesis testing, optimality, linear models, analysis of discrete data, and nonparametric methods. Prerequisite: MATH 350.
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MATH 351 - Mathematical Statistics
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MATH 355: Combinatorics
3.00 Credits
University of San Diego
Principles of enumeration, finite difference calculus, generating functions, finite difference equations, principle of Inclusion and Exclusion, introduction to the theory of combinatorial graphs, and applications to computer science. Prerequisites: MATH 151 and 160, or consent of instructor.
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MATH 355 - Combinatorics
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MATH 360-361: Advanced Calculus
3.00 Credits
University of San Diego
A study of the foundations of real analysis, including the calculus of functions of one and several variables, infinite processes, convergence theory, and selected topics of advanced undergraduate analysis. Prerequisites: MATH 160 and 250. (360: fall semester, every year; 361: spring semester, odd years)
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MATH 360-361 - Advanced Calculus
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MATH 365: Complex Function Theory
3.00 Credits
University of San Diego
Analytic function theory; power series, analytic continuation, conformal mapping, and applications. Prerequisite: MATH 160 and 250, or consent of instructor.
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MATH 365 - Complex Function Theory
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MATH 370: Theory of Numbers
3.00 Credits
University of San Diego
Divisibility, Euclidean algorithm, fundamental theorem of arithmetic, congruences, Fermat's theorem, Euler's function, Chinese Remainder Theorem, Diophantine equations, primitive roots, quadratic residues, reciprocity law, and continued fractions. Prerequisites: MATH 160 and 250, or consent of instructor. (spring semester, even years)
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MATH 370 - Theory of Numbers
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MATH 375: Algebraic Systems
3.00 Credits
University of San Diego
An introduction to groups, rings, integral domains, division rings, fields, vector spaces, and algebras, and applications of these systems to other branches of mathematics. Prerequisites: MATH 160 and 250, or consent of instructor. (spring semester, odd years)
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MATH 375 - Algebraic Systems
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MATH 380: Geometry
3.00 Credits
University of San Diego
An introduction to an area of modern geometry. The specific topic will be chosen from the following: non-Euclidean geometry, differential geometry, projective geometry, or metric geometry, and historical references. Prerequisites: MATH 160 and 250, or consent of instructor. (fall semester, odd years)
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MATH 380 - Geometry
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MATH 385: Topology
3.00 Credits
University of San Diego
Metric spaces, topologies, subspaces, continuity, separation axioms, compactness, and connectedness. Prerequisites: MATH 160 and 250, or consent of instructor. (spring semester, even years)
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MATH 385 - Topology
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MATH 388: Mathematical Logic
3.00 Credits
University of San Diego
Abstract structure of logical arguments, theory of the propositional and predicate calculus, and selected topics in modern logic. Prerequisites: MATH 160 and 250, or consent of instructor.
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MATH 395: Mathematical Problem Solving Seminar
1.00 - 3.00 Credits
University of San Diego
This course is intended for students who enjoy the challenge of mathematical problems. This course differs from other mathematics courses which are focused on the theory and applications of a single branch of mathematics. It emphasizes problem-solving techniques, creative thinking, and exposition of skills in different areas of mathematics such as algebra, calculus, geometry, and number theory. Prerequisite: MATH 151. (fall semester, every year)
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MATH 395 - Mathematical Problem Solving Seminar
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