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Course Criteria
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3.00 Credits
Problem-solving and reasoning strategies; concepts, operations, and applications of decimals, percents, and irrational numbers; data analysis, statistics, and probability; concepts and applications of two- and three-dimensional geometry and measurement.
Prerequisite:
Grade of C or higher in MAT201M. MAT202 may not be used to fulfill the requirements for a major or minor in mathematics.
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3.00 Credits
Descriptive statistics. Discrete probability spaces, random variables, and distributions. Normal distribution, statistical inference, estimation, hypothesis testing, linear regression, correlation analysis, and analysis of variance. Applications to business, economics, and science. Students may not receive credit for both MAT207M and PSY230M.
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3.00 Credits
Linear systems, matrices, vectors and vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors, orthogonality and applications. Provides a foundation for many areas of study in mathematics, computer science, engineering, and science. Prerequisite: MAT125 or MAT241.
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3.00 Credits
Analytic solution methods for ordinary differential equations, including special methods for first- and second-order systems, series solutions, and transformation methods. Systems of differential equations and concepts from linear algebra introduced as needed. Prerequisite: MAT125. MAT223 strongly recommended.
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3.00 Credits
Differential calculus of real functions on Rn: limits, continuity, partial and directional derivatives, mean value theorem, implicit functions, Taylor’s Theorem, and optimization techniques (including Lagrange multipliers). Multiple integral theory: change of variables, iterated integrals, and line integration (Green’s Theorem).
Prerequisite:
MAT125.
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3.00 Credits
Covers a collection of topics useful to mathematics and computer science majors. The unifying factor is that the topics deal mainly with finite collections of mathematical objects (graphs, trees, finite state machines, etc.). Also includes examination of sets, logic, Boolean algebras, proof techniques, algorithm analysis, and recursion.
Prerequisite:
MAT124M.
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4.00 Credits
Study of groups, rings, fields, and applications of these algebraic structures from a firm axiomatic foundation with a strong emphasis on properly written proofs.
Prerequisite:
MAT211.
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3.00 Credits
Discrete and continuous probability spaces, distribution and density functions, random variables, sampling, expectation, estimation, and hypothesis testing.
Prerequisite:
MAT125.
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3.00 Credits
Linear and multilinear regression. Factor analysis, including analysis of variance and experimental design.
Prerequisite:
MAT124M and MAT207M, or MAT330, or consent of instructor.
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3.00 Credits
Numerical methods for solving systems of linear equations, finding roots and fixed points, approximating data and functions, numerical integration, finding solutions to differential equations.
Prerequisite:
MAT211 or MAT222. Recommended: COS105 or COS205. (Carries cross-credit in computer science.)
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