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MATH 345: Mathematical Modeling
4.00 Credits
University of San Francisco
Prerequisites: MATH - 110 and MATH - 130. The methodology of mathematical modeling will be explored in several case studies from fields as diverse as political science, biology, and operations research. Problems of data collection, model fitting, and model analysis will be explored. Case studies incorporate topics from: analysis of conflict (business, military, social), population dynamics, and production management.
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MATH 345 - Mathematical Modeling
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MATH 355: Complex Analysis
4.00 Credits
University of San Francisco
Prerequisites: MATH - 130 MATH - 211 and MATH - 235 , or permission of instructor. Topics include integration and differentiation of functions of a complex variable, Laurent series, conformal mapping, residues, and Cauchy's theorems.
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MATH 355 - Complex Analysis
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MATH 367: Number Theory
4.00 Credits
University of San Francisco
Prerequisite: MATH - 235 or permission of instructor. Topics include prime numbers, congruences, quadratic reciprocity, number-theoretic functions, and diophantine equations.
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MATH 367 - Number Theory
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MATH 370: Probability and Statistics
4.00 Credits
University of San Francisco
Prerequisite: MATH - 211 or permission of instructor. Topics include descriptive statistics and data analysis; probability, random variables, and probability distributions; mathematical expectation; confidence intervals and hypothesis tests.
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MATH 370 - Probability and Statistics
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MATH 380: Foundations of Geometry
4.00 Credits
University of San Francisco
Prerequisite: MATH - 110 or permission of instructor. Topics chosen from axiomatics, Euclidean and non-Euclidean geometries, vector spaces and inner products, and symmetry groups.
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MATH 380 - Foundations of Geometry
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MATH 394: Applied Mathematics Research Laboratory
4.00 Credits
University of San Francisco
Prerequisite: Permission of instructor. This course offers selected upper division students an opportunity to work on a sponsored research project under the direction of a faculty member. May be repeated for credit. Offered as often as suitable projects can be found.
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MATH 394 - Applied Mathematics Research Laboratory
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MATH 395: Selected Topics in Mathematics
2.00 - 4.00 Credits
University of San Francisco
Prerequisite: Permission of instructor. This course treats topics not covered in other Mathematics courses, but of interest to faculty and students. May be repeated for credit. Offered intermittently.
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MATH 395 - Selected Topics in Mathematics
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MATH 398: Directed Reading and Research
1.00 - 4.00 Credits
University of San Francisco
Prerequisite: Written consent of instructor and dean. May be repeated for credit. Offered every semester.
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MATH 398 - Directed Reading and Research
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MATH 422: Combinatorics
4.00 Credits
University of San Francisco
Prerequisite: MATH - 235 or permission of instructor.. An in-depth study of combinations and permutations, inclusion-exclusion, the binomial theorem, recurrence relations, and graph theory, with additional topics depending on student and instructor interest (for example, generating functions, combinatorial number theory, finite-state machines). Offered every other Fall.
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MATH 422 - Combinatorics
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MATH 435: Modern Algebra
4.00 Credits
University of San Francisco
Prerequisite: MATH - 235 or permission of instructor. Topics include an introduction to the theory of groups, rings, fields, vector spaces, and other algebraic structures.
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MATH 435 - Modern Algebra
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