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Course Criteria
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3.00 Credits
Staff Content: Basic skills and concepts that evolve from the study of systems of linear equations. Systems of linear equations, Euclidean vector spaces and function spaces, linear transformations, matrices and determinants, inner product spaces, eigenvalue problems, symmetric transformations. Prerequisite: Mathematics 132 or equivalent. Taught: Each semester, 4 semester credits.
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3.00 Credits
Staff Content: Basic analytical and quantitative skills in the theory of functions of several variables. Partial differentiation; gradients; multiple integrals; theorems of Green, Gauss, and Stokes. Prerequisite: Mathematics 132 or equivalent. Taught: Annually, 4 semester credits.
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3.00 Credits
Staff Content: Basic methods, theory, and applications of differential equations. Solutions and the qualitative behavior of solutions of linear and nonlinear differential equations and of systems of differential equations, Laplace transform methods, numerical techniques. Prerequisite: Mathematics 132 or equivalent. Taught: Annually, 4 semester credits.
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2.00 - 4.00 Credits
Benowicz Content: Tutoring opportunities (two to four hours onsite per week) at community schools to include one-on-one tutoring or classroom aid for site supervisor. Written reports and consultation with instructor required during semester. Specific math courses or grade levels to be determined by student, site supervisor, and instructor. Prerequisite: Consent of instructor. Taught: Each semester, 1-2 credits, credit-no credit. May be taken twice for credit with at most 2 credits counted toward math major.
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3.00 Credits
Chen, Nelsen Content: Introduction to principal statistical concepts and methods with emphasis on data. Statistical thinking, the application of statistical methods to other disciplines, and the communication of statistics, both verbally and in writing. Exploratory data analysis, random variables, regression analysis, data production, and statistical inference. Mathematical tools and skills used to address problems posed by collecting, analyzing, and modeling data. Prerequisite: Mathematics 131 or equivalent. Taught: Annually, 4 semester credits.
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3.00 Credits
Stavrov Content: Emphasis on problem-solving skills required for success on the Putnam Exam. Participation in the exam is required to earn credit. Prerequisite: None. Taught: Annually, 1 semester credit, credit-no credit. May be taken twice for credit.
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3.00 Credits
Stanhope Content: Emphasis on mathematical modeling skills required for success in the COMAP Mathematical Modeling Competition and Interdisciplinary Modeling Competition. Participation in the competition is required to earn credit. Prerequisite: None. Taught: Annually, 1 semester credit, credit-no credit. May be taken twice for credit.
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3.00 Credits
Staff Content: Divisibility properties of the integers, unique factorization, linear Diophantine equations, congruences, Fermat's and Wilson's theorems, arithmetic functions. Other topics selected from the following: primitive roots and indices, quadratic reciprocity, the theory of prime numbers, continued fractions, sums of squares, analytic number theory. Prerequisite: Mathematics 215 or consent of instructor. Taught: Alternate years, 4 semester credits.
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3.00 Credits
Cameron, Krussel Content: Introduction to combinatorial theory, including one or more of the following: enumeration, algebraic enumeration, optimization, graph theory, coding theory, design theory, finite geometries, Latin squares, posets, lattices, Polya counting, Ramsey theory. Prerequisites: Mathematics 215 and 225 or consent of instructor. Taught: Alternate years, 4 semester credits.
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3.00 Credits
Ely Content: Study of the theoretical basis, error analysis, and practical techniques of numerical computations. Topics chosen from among: solutions of systems of linear equations, solutions of nonlinear equations, numerical integration and differentiation, solutions of ordinary differential equations, eigenvalue problems, interpolation, approximation. Prerequisites: Computer Science 171. Mathematics 225 and 233. Taught: Alternate years, 4 semester credits.
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