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MATH 320: Calculus II
3.00 Credits
Massachusetts College of Liberal Arts
Studies antiderivatives, the definite integral, transcendental functions, techniques and applications of integration, an introduction to improper integrals. The second of a four-part sequence. Prereq: MATH 220
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MATH 320 - Calculus II
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MATH 328: Interest Theory
3.00 Credits
Massachusetts College of Liberal Arts
Treats topics from the mathematical theory of compound interest. Problems dealing with annuities, amortized schedules, sinking funds, and bonds will be analyzed. Prereq: MATH 320
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MATH 328 - Interest Theory
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MATH 330: Calculus III
3.00 Credits
Massachusetts College of Liberal Arts
Studies infinite series, plane curves, polar coordinates, vectors, vector-valued functions, and analytic geometry in three-dimensional space. The third of a four-part sequence. Prereq: MATH 320
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MATH 330 - Calculus III
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MATH 331: Probability Theory
3.00 Credits
Massachusetts College of Liberal Arts
Examines probability laws, discrete and continuous random variables and their probability distributions, expectation, moments and moment generating functions, sequences of random variables, and Markov chains. Prereq: MATH 330
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MATH 331 - Probability Theory
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MATH 332: Statistical Analysis
3.00 Credits
Massachusetts College of Liberal Arts
Examines functions of random variables, sampling distribution, limit theorems, estimation, hypotheses testing, linear regression, correlation, analysis of variance, and analysis of enumerative data. Prereq: MATH 331
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MATH 340: Graph Theory
3.00 Credits
Massachusetts College of Liberal Arts
Investigates definitions and examples of graphs, graph isomorphism, paths and circuits, connectivity, trees, planar graphs, Euler's formula, graph coloring, four and five color theorems, and applications. Prereq: MATH 240 or MATH 261
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MATH 340 - Graph Theory
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MATH 344: Geometry
3.00 Credits
Massachusetts College of Liberal Arts
Studies geometries from an advanced standpoint. Some of the topics that may be covered are non-Euclidean geometry, geometry of the complex plane, affine geometry, or projective geometry. Prereq: MATH 240
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MATH 344 - Geometry
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MATH 345: Game Theory
3.00 Credits
Massachusetts College of Liberal Arts
Introduces game theory terminology, zero-sum, two-person games, minimax theorem, optimal mixed strategies, and applications to economics. Prereq: MATH 261
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MATH 345 - Game Theory
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MATH 360: Number Theory
3.00 Credits
Massachusetts College of Liberal Arts
Introduces the basic concepts of number theory: the Euclidean algorithm, primes, divisibility theorems, Mersenne and Fermat numbers, linear Diophantine equations, congruences, unique factorization, and quadratic reciprocity. Prereq: MATH 261
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MATH 360 - Number Theory
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MATH 362: Algebraic Structures I
3.00 Credits
Massachusetts College of Liberal Arts
Introduces the study of algebraic structures with a detailed examination of groups; their properties, isomorphic and homomorphic mappings. Cyclic, symmetric, and quotient groups; groups of permutations and cosets. Normal subgroups. The Fundamental Homomorphism Theory. Prereq: MATH 261
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MATH 362 - Algebraic Structures I
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