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Course Criteria
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3.00 Credits
A continuation of 224, with emphasis on the study of linear operators on complex vector spaces, invariant subspaces, generalized eigenvectors and inner product spaces. Prerequisite, 224.
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3.00 Credits
Theory and applications of partial differential equations. Topics include separation of variables, Fourier series and transforms, and the Laplace, heat and wave equations. (Quantitative and Symbolic Reasoning.) Prerequisite, Math 224 and Math 235.
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3.00 Credits
Number theory is the study of the properties of the positive integers. Topics include divisibility, congruences, quadratic reciprocity, numerical functions, diophantine equations, continued fractions, distribution of primes. (Quantitative and Symbolic Reasoning.) Prerequisite, 325 or consent of instructor.
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3.00 Credits
Considers the mathematics behind the stunning visual images of fractals. Topics will include self-similarity, dimension, Julia sets, the Mandelbrot set, circle inversions, cellular automata and basins of attraction. Students will present topics of their choosing. Prerequisite, 224.
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3.00 Credits
An introductory course intended to develop an understanding of and appreciation for the statistical approach to problems in business and the natural, social and behavioral sciences. (Quantitative and Symbolic Reasoning.) Not open to students who have taken a calculus course, Economics 265 or Psychology 280. May not be counted toward the concentration or the minor. Maximum enrollment, 25. Kuruwita.
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3.00 Credits
Introduction to the differential and integral calculus of a single variable. Topics include limits, continuity, derivatives, max-min problems and integrals. (Quantitative and Symbolic Reasoning.) Four hours of class. The Department.
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3.00 Credits
A continuation of the study begun in 113 and an introduction to the study of differential and integral calculus of several variables. Four hours of class. (Quantitative and Symbolic Reasoning.) Prerequisite, 113 or placement by the department. Students who complete Math 114 with a grade of C- or better without having taken Math 113 will receive credit for Math 113. The Department.
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3.00 Credits
A second course in calculus designed specifically for students who have taken AP Calculus BC, or equivalent. Topics include vector functions, functions of several variables, partial derivatives, multiple integrals and other areas. Three hours of class. Successful completion of 115 carries credit for both 113 and 115 for those students placed into 115. (Quantitative and Symbolic Reasoning.) Students who complete Math 115 with a grade of C- or better without having taken Math 113 will receive credit for Math 113. Bedient.
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3.00 Credits
Self-designed exploration of mathematical theory or applications that may include concentrated study of a narrowly focused topic, guest lectures, faculty and/or student presentations, independent research in the mathematical literature or a field experience. Course ends with an oral presentation in which the student summarizes the mathematics learned in the process. Prerequisite, consent of instructor. One-quarter course credit based on Satisfactory/Unsatisfactory. May be taken more than once with consent of the department. The Department.
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3.00 Credits
Topics in vector calculus, generalizing those from 114, including divergence, curl, line and surface integrals, Stokes theorem and applications to science, engineering and other areas. (Quantitative and Symbolic Reasoning.) Prerequisite, 114 or consent of instructor. Students who complete Math 215 with a grade of C- or better without having taken Math 113 will receive credit for Math 113. First-year students require permission of the instructor. Dykstra.
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