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Course Criteria
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3.00 Credits
Functions, curve equation relationship, set theory, random events, probability functions, mathematical expectation, conditional probability, special distributions (e.g., binomial, normal, and notion of a statistic). Prerequisite: MATH 141 or equivalent.
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3.00 Credits
Applications of calculus to business and social science. Intuitive use of limits and continuity. Derivatives, extrema, concavity, and applications such as marginal analysis, business models, optimization of tax revenue, and minimization of storage cost. The exponential and logarithmic functions. Antiderivatives and the definite integral. Areas and consumer's surplus. Some concepts of probability extended to discrete and continuous sample spaces. Prerequisite: MATH 125, 140 or TMAT 135.
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4.00 Credits
Riemann sums, the definite integral, the fundamental theorem of the calculus. Area, volumes of solids of revolution, arc length, work. Exponential and logarithmic functions. Inverse trigonometric functions. Formal integration techniques. L'Hopital's rule, improper integrals. Polar coordinates. Prerequisite: MATH 170.
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3.00 Credits
This course is directed toward understanding the main concepts of plane geometry, as applicable to high school teaching. Topics include polygons, tessellations, symmetry, polyhedra, metric and non-metric geometry, topological properties of plane figures. Prerequisite: MATH 141.
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3.00 Credits
An introduction to set theory and the foundations of mathematics. Topics in set theory include: deMorgan's Laws, infinite sets, cardinals and ordinals, combinatorics. Topics in logic include: paradoxes, mathematical induction, propositional logic, rules of inference, predicate logic. Prerequisite: MATH 180 or permission of department.
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3.00 Credits
An introduction to probability theory and its applications with emphasis on stochastic processes such as random walk phenomena and waiting time distributions. Computer graphics simulations will be used. Students use mathematical modeling/ multiple representations to provide a means of presenting, interpreting communication, and connecting mathematical information and relationships. Topics include sets; events; sample spaces; mathematical models of random phenomena; basic probability laws; conditional probability; independent events; Bernoulli trials; binomial, hypergeometric, Poisson, normal and exponential distributions; random walk and Markov chains.
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3.00 Credits
An introduction to statistical techniques for the analysis of biomedical data, including data organization, inferential statistics, regression and correlation, analysis of variance, discriminant analysis and factor analysis. Computer statistical package will be taught and applied. Prerequisite: MATH 180.
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3.00 Credits
Sequences and series, Taylor series; functions of several variables, partial derivatives, implicit partial differentiation, higher-order partial derivatives, the chain rule; maxima and minima for functions of two variables, La Grange multipliers with applications; topics in linear algebra and matrix theory, row-reduced echelon matrices; approximation techniques; Fourier series, including the method of least squares. Prerequisite: MATH 151 or equivalent.
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3.00 Credits
An introduction to modern inferential statistics with appropriate applications to telecommunications and related fields. Major topics covered are descriptive statistics, introduction to probability, binomial distribution, normal distribution, sampling and the Central Limit Theorem, estimation, hypothesis testing, regression and correlation, chi-square analysis and analysis of variance. The primary focus in this course will be on application of these statistical ideas and methods. Students will be required to conduct individual statistical projects involving the collection, organization and analysis of data. Prerequisite: MATH 151 or equivalent.
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4.00 Credits
Sequences and series, Taylor series. Vector analysis and analytic geometry in three dimensions. Functions of several variables, partial derivatives, total differential, the chain rule, directional derivatives and gradients. Multiple integrals and applications. Prerequisite: MATH 180.
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