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Course Criteria
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3.00 Credits
Trigonometric functions, graphing, identities, solving triangles, inverse trigonometric functions, polar coordinates, complex numbers, and analytic geometry. Fall and Spring semesters. Pre-requisite: 3.5 years of highschool mathematics or a grade of "C-" or better in MATH 120.
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0.00 - 4.00 Credits
Elementary functions; differentiation and integration from geometric and symbolic viewpoints; limits, continuity; applications. Offered Fall and Spring semesters. Pre-requisite: 4 years of highschool mathematics or a grade of "C-" or better in MATH 141.
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4.00 Credits
Symbolic and numerical techniques of integration, indeterminate forms, infinite series, power series, Taylor series, differential equations; polar coordinates, applications. Pre-requisite: A grade of "C-" or better in MATH 142.
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4.00 Credits
Three-dimensional analytic geometry, vector-valued functions, partial differentiation, multiple integration, and line integrals. Fall and Spring semesters. Pre-requisite: A grade of "C-" or better in MATH 143.
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3.00 Credits
Introduction to the basic techniques of writing proofs and to fundamental ideas used throughout mathematics. Topics covered include formal logic, proof by contradiction, set theory, mathematical induction and recursion, relations and congruence, functions. Fall and Spring semesters. Pre-requisite: A grade of "C-" or better in MATH 142.
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1.00 Credits
Intended primarily to train students for the William Lowell Putnam Mathematical Competition, this course covers a mélange of ingenious techniques for solving mathematics problems cutting across the entire undergraduate spectrum, including precalculus, calculus, combinatorics, probability, inequalities. Coverage tailored to students' interests. May be repeated for credit. Fall semester. Prerequisite: None.
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3.00 Credits
Systems of linear equations, matrices, linear programming, determinants, vector spaces, inner product spaces, eigenvalues and eigenvectors, linear transformations, and numerical methods. Credit not given for both MATH311 and MATH315. Spring semester. Pre-requisite: A grade of "C-" or better in MATH 143 and a knowledge of vectors.
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3.00 Credits
Matrices, row operations with matrices, determinants, systems of linear equations, vector spaces, linear transformations, inner products, eigenvalues and eigenvectors. Credit not given for both MATh315 and MATH 311. Fall and Spring semesters. Prerequisites - MATH 244 and 266.
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3.00 Credits
Solution of ordinary differential equations, higher order linear equations, constant coefficient equations, systems of first order equations, linear systems, equilibrium of nonlinear systems, Laplace transformations. Pre-requisite: MATH 244.
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3.00 Credits
Advanced counting methods: permutations and combinations, generalized permutations and combinations, recurrance relations, generating functions; algorithms: graphs and digraphs, graph algorithms: minimum-cost spanning trees, shortest path, network flows; depth first and breadth-first searches; combinational algorithms: resource scheduling, bin-packing: algorithmic analysis and NP completeness.
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