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Course Criteria
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4.00 Credits
Systems of linear equations and matrix arithmetic. Points and hyperplanes, infinite dimensional geometries. Bases and linear independence. Matrix representations of linear mappings. The fixed point problem. Special classes of matrices. Prerequisite: MATH 127 or its equivalent.
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4.00 Credits
The study of statistical techniques involving several variables. Topics include confidence intervals and hypothesis tests about means and variances, confidence intervals and hypothesis tests with simple and multiple linear regression and correlation, assessing appropriateness of linear regression models, one-and two-way analysis of variance with post hoc tests, analysis of covariance, and analysis of contingency tables. Other topics may include discriminant analysis, cluster analysis, factor analysis and canonical correlations, repeated measure designs, time series analysis, and nonparametric methods. Course also includes extensive use of a statistical package (currently SPSS). Prerequisite: A grade of C- or better in MATH 123, or a grade of C- or better in both MATH 128 and any mathematics course numbered 129 or above; or consent of instructor.
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4.00 Credits
An introduction to discrete structures. Topics include equivalence relations, partitions and quotient sets, mathematical induction, recursive functions, elementary logic, discrete number systems, elementary combinatorial theory, and general algebraic structures emphasizing semi172 groups, lattices, Boolean algebras, graphs, and trees. Prerequisite: CPTR 125 or consent of instructor.
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4.00 Credits
A study of ordinary differential equations and linear systems. Solution techniques include: reduction of order, undetermined coefficients, variation of parameters, Laplace transforms, power series, and eigenvalues and eigenvectors. A brief discussion of numerical methods may also be included. Prerequisite: A grade of C- or better in MATH 129; MATH 130 recommended.
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4.00 Credits
Complex numbers, analytic functions, complex integration, Cauchy's theorems and their applications. Corequisite: MATH 238. Alternate years.
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4.00 Credits
Topics regularly included are the nature of mathematical systems, essentials of logical reasoning, and axiomatic foundations of set theory. Other topics frequently included are approaches to the concepts of infinity and continuity, and the construction of the real number system. The course serves as a bridge from elementary calculus to advanced courses in algebra and analysis. Prerequisite: A grade of C- or better in MATH 129 or 130; both courses recommended.
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4.00 Credits
Algebra, geometry, and calculus in multidimensional Euclidean space; n-tuples, matrices; lines, planes, curves, surfaces; vector functions of a single variable, acceleration, curvature; functions for several variables, gradient; line integrals, vector fields, multiple integrals, change of variable, areas, volumes; Green's theorem. Prerequisites: A grade of C- or better in MATH 129, and either MATH 130 or 231.
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4.00 Credits
Topics from the theory of interpolation; numerical approaches to approximating roots and functions, integration, systems of differential equations, linear systems, matrix inversion, and the eigenvalue problem. Prerequisites: CPTR 125 and MATH 129; MATH 130 strongly recommended. Cross-listed as CPTR 321.
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4.00 Credits
The study of finite state machines, pushdown stacks, and Turing machines along with their equivalent formal language counterparts. Topics covered include results on computability, including results regarding the limits of computers and specific problems that cannot be solved. Prerequisite: MATH 216 or 234. Cross-listed as CPTR 324. Alternate years.
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4.00 Credits
An axiomatic treatment of Euclidean geometry with an historical perspective. Prerequisite: A grade of C or better in either MATH 129 or 130. Alternate years.
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