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MTH 310: Discrete Mathematics
3.00 Credits
Iona University
Set theory and mathematical logic, combinatorics, binomial and multinomial theorems, graph theory, digraphs and matrices, Boolean algebras, Boolean functions, and switching theory will be covered. Prerequisite: MTH 231. 3 credits. F
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MTH 310 - Discrete Mathematics
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MTH 403: Geometry
3.00 Credits
Iona University
A unified study of various types of geometry and their roles in the analytic development of the fundamental properties of generalized geometric spaces. Axiomatics of affine, projective, Euclidean and non Euclidean geometries. Advantages and disadvantages of synthetic and analytic forms of proof. Prerequisite: Approval of department chair. 3 credits. AY
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MTH 403 - Geometry
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MTH 406: Introduction to Topology
3.00 Credits
Iona University
A course aimed at reinforcing fundamental concepts of calculus. Theorems and problems connected with the following items will be discussed and studied: elements of point set theory, neighborhood, connectedness, real line, compactness, denumerability, sequences, continuity, homeomorphism. Prerequisite: Approval of department chair. 3 credits. N
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MTH 406 - Introduction to Topology
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MTH 408: Automata and Formal Languages
3.00 Credits
Iona University
An introduction to the theory of computation, emphasizing finite automata, regular languages push-down automata/context-free languages and grammars. Additional topics to be discussed include an introduction to Turing Machines, computability and unsolvability. Same as CS 408. Prerequisites: CS 301 and MTH 163 or MTH 310. 3 credits. N
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MTH 408 - Automata and Formal Languages
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MTH 410: Advanced Calculus
3.00 Credits
Iona University
A more rigorous development of theoretical calculus with special emphasis on such topics as partial differentiation, differentiability, implicit function theorem, inverse function theorem, infinite series and sequences of functions, uniform convergence and boundedness. Prerequisite: MTH 233. 3 credits. AY
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MTH 410 - Advanced Calculus
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MTH 411: Vector Analysis
3.00 Credits
Iona University
A course in vector analysis stressing the following topics: vector algebra; differentiation of vector functions; line, surface and space integrals, gradient, divergence, curl; the theorems of Gauss, Green and Stokes; vector spaces and transformations; differential K-forms and the generalized Stokes theorem. May not be taken by students who have received credit for MTH 330. Prerequisite: MTH 233 or equivalent. 3 credits. AY
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MTH 411 - Vector Analysis
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MTH 415: Complex Variables
3.00 Credits
Iona University
An introductory course in functions of a complex variable stressing the following topics: the complex numbers system; differentiation and integration of functions of a complex variable; power series; the calculus of residues; conformal mapping. Prerequisite: MTH 233 or equivalent. 3 credits. AY
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MTH 415 - Complex Variables
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MTH 421: Abstract Algebra I
3.00 Credits
Iona University
Binary operations; groups; subgroups; permutations; cyclic groups; direct products; cosets; normal subgroups; factor groups; homomorphisms and isomorphisms. Prerequisite: Approval of department chair. 3 credits. AY
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MTH 421 - Abstract Algebra I
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MTH 422: Abstract Algebra II
3.00 Credits
Iona University
A continuation of MTH 421 covering the following topics: rings; integral domains; fields; ideals; polynomials; homomorphisms, isomorphisms; and automorphisms; the fundamental theorem of algebra. Prerequisite: MTH 421 or equivalent. 3 credits. AY
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MTH 422 - Abstract Algebra II
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MTH 432: Probability and Statistics I
3.00 Credits
Iona University
An overview of probability and statistics. Experiments; sample spaces; random variables; probability measures and distributions; combinatorics; expectation; data collection and analysis; confidence intervals; selected hypothesis tests. Prerequisite: MTH 232. 3 credits. F
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MTH 432 - Probability and Statistics I
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