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Course Criteria
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1.00 Credits
One unit. Continuation of MA 122. Vectors, functions of more than one variable, partial differentiation, multiple integration. Prerequisite: MA 122. Offered fall semester.
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1.00 Credits
One unit. Logic and proof techniques, set theory, algorithms, recurrence relations, graph theory, trees. Prerequisite: MA 121 or permission of instructor. (For Computer Science majors: co-requisite, CS 251). Offered fall and spring semesters.
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1.00 Credits
One unit. Vector spaces, linear transformations and matrices, determinants and solutions of linear systems, characteristic values and vectors, Cayley- Hamilton theorem, and inner product spaces. Prerequisite: MA 121 or 124. Offered fall semester.
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1.00 Credits
One unit. Ordinary differential equations of the fi rst and second order, existence and uniqueness of solutions, linear differential equations, power series solutions, Laplace transforms, with applications to geometry and physics. Prerequisite: MA 122. Offered spring semester.
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1.00 Credits
One unit. Mathematical models, constraints, the simplex method, duality, and the transportation problem. Other topics to be chosen from game theory and dynamic programming. Prerequisites: MA 232 and CS 130. Offered spring semester.
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1.00 Credits
One unit. Capstone course. A thorough discussion of the real number system; topology of the real line, continuous functions, uniform convergence. Additional topics from theory of integration and multivariate calculus. Prerequisites: MA 223, 230, 232. Offered spring semester of odd-numbered years.
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1.00 Credits
One unit. Complex numbers, analytic functions, conformal mapping, Taylor and Laurent series, contour integration, and residues. Prerequisite: MA 223. Offered spring semester of even-numbered years.
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1.00 Credits
One unit. Mathematical foundations of computer science. Formal languages: lexical, context-free, context-sensitive, type 0. Automata: Finite, Pushdown, Linearbound Turing machines, Chomsky's hierarchy. Prerequisites: CS 130 and MA 230 or instructor's permission. Offered spring semesters.
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1.00 Credits
One unit. Capstone course. Basic laws of probability, discrete and continuous random variables, expectations, and the Central Limit Theorem. Prerequisite: MA 223. Offered spring semester, even years.
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1.00 Credits
One unit. Internship at an approved internship facility under the supervision of a faculty member. Prerequisite: permission of the department. Offered fall and spring semesters.
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