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Course Criteria
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3.00 Credits
P: 15400 or 15900 (with a minimum grade of C-) or equivalent, and one year of geometry. Limits, derivatives and applications. Exponential and logarithmic functions. Integrals, antiderivatives, and the Fundamental Theorem of Calculus. Examples and applications are drawn from the life sciences.
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3.00 Credits
P: 23100 (with a minimum grade of C-). Matrices, functions of several variables, differential equations and solutions with applications. Examples and applications are drawn from the life sciences.
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4.00 Credits
P: 164. Equiv. IU MATH M311. Fall, spring, summer. Spatial analytic geometry, vectors, curvilinear motion, curvature, partial differentiation, multiple integration, line integrals, and Green's theorem. An honors option for this course is available. Note: Effective Fall 2009, this course is offered under an updated course description, as below.
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3.00 Credits
P: 16400 and 17100 (minimum grade of C in each). Fall, spring, summer. First order equations, second and nth order linear equations, series solutions, solution by Laplace transform, systems of linear equations.
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3.00 Credits
P or C: 16500 or consent of instructor. Spring. Logic, sets, functions, integer algorithms, applications of number theory, mathematical induction, recurrence relations, permutations, combinations, finite probability, relations and partial ordering, and graph algorithms.
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3.00 Credits
Applied topics in mathematics at the sophomore level. Prerequisites and course material vary with the applications.
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3.00 Credits
P: 16500. Fall. Logic and the rules of reasoning, theorem proving. Applications to the study of the integers; rational, real, and complex numbers; and polynomials. Bridges the gap between elementary and advanced courses. Recommended for prospective high school teachers.
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3.00 Credits
P: 16600 or 22200. Spring. The goal of the course is to introduce some of the spectacular new discoveries that have been made in the past twenty years in the field of mathematics known as dynamical systems. It is intended for undergraduate students in mathematics, science, or engineering. It will include a variety of computer experiments using software that is posted on the Web.
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3.00 Credits
P: 26100. Not open to students with credit in 51100. Fall, spring. Systems of linear equations, matrices, vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and applications.
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3.00 Credits
P: 26100. An introduction to the theory of finance, including such topics as compound interest, annuities certain, amortization schedules, sinking funds, bonds, and related securities.
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