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MATH 242: Intermediate Calculus and Analytic Geometry
4.00 Credits
Union College - New York
The integral, applications of the integral, logarithmic and exponential functions, trigonometric functions, hyperbolic functions, techniques of integration, L'Hospital's Ruleand indeterminate forms, and improper integrals. Prerequisite: MATH 241.
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MATH 242 - Intermediate Calculus and Analytic Geometry
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MATH 243: American National Government
3.00 Credits
Union College - New York
A survey of the principal characteristics of the American National Government; examination of constitutional principles, federalism, political participation, institutions of government, and the politics of public policy. See the History section of the catalog for information on the History and Political Science area major.
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MATH 243 - American National Government
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MATH 301: Principles of Geometry
3.00 Credits
Union College - New York
Mathematical Proof: conjunctions, disjunction, implications, truth tables. Proofs using triangles, polygons, and circles. Transformations, area, space geometry, and non-Euclidean geometries. Prerequisite: MATH 131, 133 or 204.
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MATH 301 - Principles of Geometry
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MATH 321: Discrete Mathematics
3.00 Credits
Union College - New York
Logic, methods of proof, sets, relations, functions, equivalences, combinatorics, induction, recursion, elementary number theory, linear programming, and an introduction to mathematical modeling. Prerequisite: MATH 131 or permission of the instructor. (Even years only.)
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MATH 321 - Discrete Mathematics
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MATH 331: Introduction to Linear Algebra
3.00 Credits
Union College - New York
Vector algebra in Euclidean spaces, lines and planes in space, matrices and linear equations, abstract vector spaces. Prerequisites: Math 131 or permission of the instructor. (Odd years only.)
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MATH 331 - Introduction to Linear Algebra
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MATH 332: Linear Algebra
3.00 Credits
Union College - New York
Vector spaces, subspaces, linear independence, linear transformations, determinants, inner product spaces, orthogonality, and unitary transformations. Prerequisite: MATH 331. (Odd years only.)
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MATH 332 - Linear Algebra
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MATH 333: Modern Algebra
3.00 Credits
Union College - New York
An introduction to abstract algebra including groups, subgroups, quotient groups, isomorphism theorems, rings, and ideals. Prerequisite: MATH 241 or permission of the instructor.
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MATH 333 - Modern Algebra
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MATH 372: Probability and Mathematical Statistics
3.00 Credits
Union College - New York
Theoretical probability using point set approach, probability as a frequency ratio; probability for fi nite sample spaces; conditional probability; joint and continuous distributions, binomial distribution; Baye's theorem; statistical applications of probability; theory of sampling and variance. Prerequisites: MATH 242, which may be taken concurrently, and permission of the instructor. (Even years only.)
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MATH 372 - Probability and Mathematical Statistics
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MATH 402: Functions of a Complex Variable
3.00 Credits
Union College - New York
Complex numbers, analytic functions, elementary functions of a complex variable. Cauchy's formula, Liouville's theorem, Laurent's series, residues, contour integrationconformal mapping, physical applications. (Even years only.)
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MATH 402 - Functions of a Complex Variable
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MATH 403: Introduction to Analysis.Prerequisite MATH 243
3.00 Credits
Union College - New York
Sets and functions, topological ideas, LUB property, real sequences, continuity, mean value theorems, integration, defi nite integrals, Taylor's theorems, improper integrals, convergence of infi nite series, power series, improper integrals with parameter. Prerequisite MATH 24 (Odd years only.)
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MATH 403 - Introduction to Analysis.Prerequisite MATH 243
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