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Course Criteria
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4.00 Credits
(also listed as Computer Science 230) An introduction to the theories of finite-state machines, pushdown automata and Turing machines as well as the relation between automata and the formal languages they recognize. Students explore computational theory and its practical applications in lexical analysis and language parsing. Prerequisites: Computer Science 102 and Mathematics 205 or permission of instructor. Offered in alternate years.
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4.00 Credits
An introduction to symbolic logic as a mathematical model of deductive thought. Topics covered include propositional logic, models, formal proofs, and the Completeness, Compactness, and Incompleteness Theorems. Additional topics from Computability theory or set theory may be included. Prerequisites: Mathematics 205 or permission of instructor.
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4.00 Credits
A study of vector spaces, linear transformations, matrices, determinants, systems of linear equations, similarity, and characteristic values and vectors. This course may be applied toward the Mathematics requirement for a Computer Science major. Prerequisite: Mathematics 205 or 210.
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4.00 Credits
An introduction to the notion of an algebraic structure concentrating on the simplest such structure, that of a group. Rings and fields are also discussed. Prerequisites: Mathematics 205 and 320, or permission of instructor.
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4.00 Credits
A study of divisibility properties of integers, linear diophantine equations, the theory of congruencies, the Euler-Fermat Theorem, perfect numbers, elementary results on the distribution of prime numbers, quadratic residues and some non-linear Diophantine problems. Prerequisite: Mathematics 205 or permission of instructor.
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4.00 Credits
An examination of the theory of calculus of a single variable. Topics include properties of thereal numbers, topology of the real line, and a rigorous treatment of sequences, functions, limitscontinuity, differentiation, and integration. Prerequisites: Mathematics 205 and 210, or permission of instructor."
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4.00 Credits
A study of differentiation and integration with complex variables, conformal representation, and the calculus of residues, with applications to geometry and physics. Prerequisites: Mathematics 205 and 210, or permission of instructor.
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4.00 Credits
A study of mathematical models, sample space probabilities, random variables, expectation, empirical and theoretical frequency distributions, moment generating functions, sampling theory, correlation and regression. This course may be applied toward the Mathematics requirement for a major in Computer Science. Prerequisite: Mathematics 210.
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4.00 Credits
A continuation of Mathematics 345 treating the testing of hypotheses and goodness of fit, small sample techniques, statistical design, non- parametric methods and sequential analysis. Prerequisite: Mathematics 345.
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4.00 Credits
An introduction to modern geometry. Topics may be drawn from axiomatic, projective, affine or hyperbolic geometry. Related topics at the discretion of the instructor. Prerequisite: Mathematics 205.
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