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Course Criteria
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3.00 Credits
This course presents major mathematical concepts in an historical and cultural setting.Topics include geometry, set theory, logic, and differential and integral calculus.Students explore the interplay between mathematics, philosophy, and the arts in addition to the more traditional relationship between mathematics and the physical sciences.The course treats mathematics as an art for its aesthetic beauty and as a science, providing a mathematician's view of the subject rather than preparing students for a specific application of mathematics.Three credits.
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3.00 Credits
Topics in this course include: plane analytic geometry; foundations of the calculus; differentiation of algebraic, exponential and logarithmic functions; extrema and curve sketching; and applications of derivatives.MA 121 is not a prerequisite for MA 171; students who received credit for MA 19 or for MA 171 may not take MA 121 for credit.Three credits.
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3.00 Credits
Topics in this course include antiderivatives; the Fundamental Theorem of Calculus; integration of algebraic, logarithmic, and exponential functions; differentiation and integration of trigonometric functions; techniques of integration; and applications of the definite integral.MA 122 is not a prerequisite for MA 171; students who have received credit for MA 122 or MA 172 may not take the other for credit.(Prerequisite: MA 121 or equivalent) Three credits.
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3.00 Credits
This course covers analytic geometry, continuous functions, derivatives of algebraic and trigonometric functions, product and chain rules, implicit functions, extrema and curve sketching, indefinite and definite integrals, and applications of derivatives and antiderivatives.Three credits.
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3.00 Credits
This course covers exponential and logarithmic transcendental functions, their derivatives and their integrals; the Fundamental Theorem of Calculus; applications to area, arc length, and volumes of revolution; hyperbolic functions, inverse trigonometric functions; methods of integration by substitution and parts; and indeterminate forms and improper integrals.(Prerequisite: MA 125 or MA 171 or equivalent) Three credits.
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4.00 Credits
Computer science and computational problem-solving have transformed our society - both practically and conceptually.We will study the ideas and methods that make this field so significant and profound.We will also learn how to solve problems by programming - breaking them down, thinking logically and precisely, and then creating algorithms - step-by-step instructions.The building blocks of algorithms, while surprisingly simple, allow us to create and explore a myriad of creative projects, just as musicians create and explore a vast array of beautiful melodies with only twelve notes.This course requires no previous experience.Four credits. * May be taken to fulfill the core requirement in mathematics.
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3.00 Credits
This introduction to the theory of statistics includes measures of central tendency, variance, Chebyshev's theorem, probability theory, binomial distribution, normal distribution, the central limit theorem, and estimating population means for large samples.Students who have received credit for any mathematics course at the 100-level or higher may not take this course for credit without the permission of the department chair.Three credits.
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3.00 Credits
MA 171-172 is our most rigorous first-year calculus sequence.However, students are not expected to have had calculus before taking this course.Topics include functions; limits, continuity, and derivatives; applications; relative maxima, minima, and curve sketching; absolute maxima and minima; related rates; Rolle's Theorem and the mean value theorem.Students who have received credit for MA 121 or MA 125 or MA 171 may not take any of the others for credit.Four credits.
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3.00 Credits
This course presents anti-differentiation; the definite integral and the Fundamental Theorem of Calculus; applications; area, volume, and arc length; exponential, logarithmic, trigonometric, and hyperbolic functions; integration techniques; indeterminate forms; Taylor's Theorem; and infinite sequences and series.Students who have received credit for MA 122 may not take MA 172 for credit.(Prerequisite: MA 125 or MA 171 or equivalent) Four credits.
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3.00 Credits
This course introduces differentiation and integration, and shows how these ideas are related.The course illustrates how important and interesting applied questions, when expressed in the language of mathematical functions, turn out to be questions about derivatives and integrals and, thus, can be solved using calculus.The course presents the basic concepts numerically, algebraically, and geometrically, using graphing calculators to illustrate many of the underlying geometrical ideas.MA 19 is not a prerequisite for any other course; students who have received credit for one of MA 91 or MA 121 may not take the other for credit.Three credits.
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