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Course Criteria
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3.00 Credits
Logic, number theory, sequences, series, recursion, mathematical induction, set theory, enumeration, functions, relations, graphs and trees. Connections to computers and to programming are emphasized when possible. Prerequisite: C or better in MATH 115, MATH 116, MATH 122, or MATH 141, or placement through the pre-calculus version of the Mathematics Placement Test. FS: 11/04/2020. CL: 2020.
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1.00 Credits
An overview of different areas of mathematical research and career opportunities for mathematics majors. Pass/fail only. Prerequisite: C or better in MATH 141. FS: 12/03/2014. CL: 2020.
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3.00 Credits
The meaning of number, fundamental operations of arithmetic, the structure of the real number system and its subsystems, elementary number theory. Open only to students in elementary or early childhood teacher certification. Prerequisite: C or better in MATH 111 or MATH 111I or placement through Algebra version of the Mathematics Placement Test. FS: 12/03/2014. CL: 2020.
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3.00 Credits
Informal geometry and basic concepts of algebra. Open only to students in elementary or early childhood teacher certification. Prerequisite: C or better in MATH 221. FS: 12/03/2014. CL: 2020.
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3.00 Credits
Vector algebra, geometry of three-dimensional space; lines, planes, and curves in space; polar, cylindrical, and spherical coordinate systems; partial differentiation, max-min theory; multiple and iterated integration, line integrals, and Green's theorem in the plane. Prerequisite: C or better in MATH 142. FS: 12/03/2014. CL: 2020.
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3.00 Credits
Ordinary differential equations of first order, higher order linear equations, Laplace transform methods, series methods; numerical solution of differential equations. Applications to physical sciences and engineering. Prerequisite: C or better in MATH 142. FS: 12/03/2014. CL: 2020.
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3.00 Credits
Rigor of mathematical thinking and proof writing via logic, sets, and functions. Intended to bridge the gap between lower-level (computational-based) and upper-level (proof-based) mathematics courses. Prerequisite: C or better in MATH 142. FS: 12/03/2014. CL: 2020.
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3.00 Credits
General solutions of systems of linear equations, vector spaces and subspaces, linear transformations, determinants, orthogonality, characteristic polynomials, eigenvalues and eigenvectors, singular value decomposition, and generalized inverse. MATH 344L is an optional laboratory course where additional applications will be discussed. Prerequisite: C or better in MATH 142. FS: 12/03/2014. CL: 2020.
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1.00 Credits
Computer based applications of linear algebra for science and engineering students. Topics include numerical analysis of matrices, direct and indirect methods for solving linear systems, and least squares method (regression). Typical applications include practical issues related to discrete Markov processes, image compression, and linear programming. Prerequisite or Corequisite: C or better or concurrent enrollment in MATH 344 or MATH 544. FS: 06/01/2022.
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3.00 Credits
Propositional and predicate logic; proof techniques; recursion and recurrence relations; sets, combinatorics, and probability; functions, relations, and matrices; algebraic structures. Prerequisite: C or better in both MATH 142 and CSCE 146. FS: 12/03/2014. CL: 2020.
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