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Course Criteria
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3.00 Credits
Selected topics from the mathematics of finance, social choice, the digital revolution, size and shape and management science. Mathematical methods are used to examine practical problems involving loans, identification numbers, voting, fair decisions, resource allocation and the visual arts.
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3.00 Credits
Explores major ideas and concepts of elementary mathematics from an advanced perspective, with an emphasis on mathematical reasoning and deep conceptual understanding. Topics include numeration systems, place value, operations in different bases; understanding of operations, methods of computing, and relationships between operations; using numbers in sensible ways, mental computation and estimation; understanding fractions, equivalent forms, relating fractions and decimals. Open to all majors; particularly useful to prospective elementary school teachers.
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3.00 Credits
Study of basic probability concepts and descriptive statistics. Topics include random variables, binomial distribution, normal distribution, regression, correlation, sampling, confidence of estimations, and hypothesis testing. A statistical software program is used for statistical analyses. No previous experience with computers is required.
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3.00 Credits
Practical study of calculus techniques. Functions, limits, rate of change, derivatives, differentials. Applications to environmental and social sciences, economics and business.
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3.00 Credits
Anti-derivatives, definite integral, integration techniques for algebraic, exponential, and trigonometric functions. Applications to environmental and social sciences, economics and business. Prerequisite: MATH140.
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3.00 Credits
Polynomial, rational and algebraic functions; polynomial zeros and synthetic division; translation, symmetry and other graphing techniques; exponential and logarithmic functions; trigonometric ratios and circular functions; applications of trigonometric functions.
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3.00 Credits
Plane curves, parametric equations, polar coordinates; vectors in two and three dimensions; cylindrical and spherical coordinates; calculus of vector functions; partial derivatives, multiple integrals and applications, line and surface integrals, Green's theorem, Stokes' theorem. Prerequisite: MATH180 or permission of instructor.
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3.00 Credits
Computer solutions in the areas of Science and Mathematics and important numerical techniques. For majors (or minors) in Mathematics, Computer Science and the Sciences. Prerequisite: COMP110, MATH170 and MATH180.
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3.00 Credits
Sample spaces and probability, Bayes' theorem; random variables, probability distributions, Law of Large Numbers and the Central Limit Theorem, random processes, forecasting. Prerequisite: MATH180 or permission of instructor.
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3.00 Credits
Sampling distributions, Normal, Chi-Square, T, and F distribution; survey sampling; maximum likelihood estimators; confidence intervals and hypothesis testing; linear and non-linear regression; analysis of variance. Prerequisite: MATH251 or permission of instructor.
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