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Course Criteria
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2.00 Credits
Mathematical analysis and problem solving based on arithmetic and elementary algebra. The course requirements include writing and problem solving assignments. This course may not be used to fulfill the mathematics core requirement. Prerequisite: Concurrent enrollment in MAT 0190 and consent of the mathematics department. Offered on a limited basis in consultation with department chair.
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3.00 Credits
This course prepares students for the study of precalculus. A brief review of the fundamentals of algebra, equations and inequalities, exponents, and radicals. Functions and graphs, systems of equations, and polynomial, rational, and exponential functions. Every semester.
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3.00 Credits
This course is designed to prepare students for the study of calculus. Emphasis is placed on the study of functions, including polynomial, rational, exponential, logarithmic and trigonometric functions. This course utilizes technology (graphing calculators and/or the internet) on a regular basis. Every semester.
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4.00 Credits
Continuation of Calculus II, with topics to include vector-valued functions, differentiation, integration, tangent vectors and velocity, functions of several variables, limits and continuity, partial derivatives, directional derivative and gradients, extreme values and applications, iterated integrals and area, double integrals and volume, line and surface integrals, and Gauss's, Green's,and Stoke's Theorems. This course utilizes technology (graphing calculators and/or the internet) on a regular basis. Prerequisite: MAT 2532. Spring.
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3.00 Credits
This course explores the many ways that mathematics influences and is influenced by the culture of which it is a part. While mathematics in present-day Western society is usually associated with science and technical fields, mathematical ideas in other cultural groups may arise as strongly through storytelling and myth, art, music, philosophy, or the structure of marriage rules. Prerequisite: MAT 1020 or consent of instructor. Spring, even years.
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1.00 - 12.00 Credits
Signed contract required at time of registration.
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1.00 - 3.00 Credits
Open on a limited basis. A personal interview with the Mathematics Department faculty is required prior to registration. Hours by arrangement. Prerequisite: Consent of department chair. Signed contract required at time of registration.
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4.00 Credits
This course will focus on achieving goals set forth in Vermont's Framework of Standards and Learning Opportunities and the Standards of the National Council of Teachers of Mathematics (NCTM), while strengthening the mathematical knowledge of the prospective elementary school teacher. Students will be given numerous opportunities to discover and construct important mathematical concepts and techniques using a variety of student-centered learning strategies, including the use of manipulative devices, graphing calculators, computers, Internet, portfolio and journal assessment, and Video Vignettes.
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3.00 Credits
Introduction to linear algebra including a study of vector spaces, linear transformations, determinants, inner products, and characteristic equations. Prerequisite: MAT 2532. Fall.
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3.00 Credits
Introduction to probability theory, discrete and continuous random variables and their probability distributions, multivariate probability distributions, functions of random variables, and limit theorems. Prerequisite: MAT 2021, 2532, 2533. Fall.
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