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Course Criteria
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4.00 Credits
4 semester hours Limits, continuity, and derivatives of elementary algebraic and transcendental functions, implicit differentiation, maxima and minima, curve tracing, related rates, application to practical and scientific problems, antidifferentiation, definite integrals and the fundamental theorem of calculus. Prerequisite: MATH 105 or exemption by placement examination.
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4.00 Credits
4 semester hours Techniques of integration, applications of the definite integral, improper integrals, L'Hopital's rule, infinite series,topics in analytic geometry, polar coordinates and parametric equations. Prerequisite: MATH 106.
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4.00 Credits
4 semester hours Further study of limit processes, vector analysis, partial derivatives, multiple integrals, topics in vector calculus, line and surface integrals. Prerequisite: MATH 201.
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3.00 Credits
3 semester hours Introduces the techniques of mathematical proof, abstract methods in mathematical analysis and algebra. Some of the topics to be covered are the logic of compound and quantized statements, mathematical induction, basic set theory including functions and cardinality. Prerequisite: MATH 201.
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3.00 Credits
3 semester hours Euclidean geometry from an advanced standpoint, incidence geometry, absolute geometry, non-Euclidean geometries, and some point-set theory. Prerequisites: MATH 205, high school geometry or MATH 110. Not offered every year.
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3.00 Credits
3 semester hours Linear differential equations of first and second order, systems of ordinary differential equations, Laplace transforms, series and numerical solutions, some partial differential equations, and applications to the sciences. Prerequisite: MATH 202. Not offered every year.
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3.00 Credits
3 semester hours Systems of linear equations, matrices, determinants, vector spaces, linear transformations, canonical forms, and applications. Prerequisite: MATH 201. Not offered every year.
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3.00 Credits
3 semester hours Introductions to groups, rings, fields, modules, homomorphisms, and related topics. Prerequisite: MATH 205. Not offered every year.
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3.00 Credits
3 semester hours Sets, completeness of real numbers, sequences and limits, Cauchy sequences, topology of the real line, Boizano- Weierstrass and Heine-Borel theorems, differentiation and the mean value theorems, infinite series, the Riemann integral, and power series. Prerequisite: MATH 205. Not offered every year.
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3.00 Credits
3 semester hours Elements of probability theory, set measures, random variables and their probability distributions, multivariate probability distributions, functions of random variables, Law of Large Numbers, estimation, and hypothesis testing.
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