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Course Criteria
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4.00 Credits
This course covers functions, the derivative with applications, techniques of differentiation, the exponential and logarithmic functions with applications, and an introduction to the definite integral. Note: This course fulfills theMA-128 requirement for students in theMET program. (prereq:MA-127 or equivalent)
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4.00 Credits
This course begins with a short review of topics in algebra and trigonometry before introducing the student to differential calculus. Topics include algebra of functions, limits, continuity, differentiation of algebraic, trigonometric, exponential and logarithmic functions and applications of the derivative to curve sketching and optimization problems. (prereq:MA-126 or equivalent,MA-127 or equivalent)
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4.00 Credits
This course is a continuation ofMA-136 and an introduction to integral calculus. The topics include vector algebra, dot and cross products, lines and planes in space, differentials, Newton's Method, integration of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions, along with areas and volumes of revolution. (prereq:MA-136)
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4.00 Credits
This subject is a continuation ofMA-128. The topics include applications of indefinite integrals, areas between curves, numerical integration, volumes of revolution, centroids andmoments of inertia, work and fluid pressure, differentiation and integration of transcendental functions, L'Hospital's rule, special integration techniques, and applications. (prereq:MA-126,MA-128)
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4.00 Credits
This subject is a continuation ofMA-225. The topics covered include parametric equations, curvilinearmotion, arc length, curves and areas in polar coordinates, surfaces in three dimensions, partial derivatives, andmultiple integrals. Also included are infinite series, tests for convergence, Taylor andMaclaurin series, operations with series, and an introduction to Fourier series. (prereq:MA-225)
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3.00 Credits
This subject is an introduction to applied differential equations. The topics covered include the solution of first-order differential equations, the solution of higher-order linear equations with constant coefficients, and the solution of linear equations by Laplace transforms. (prereq:MA-225)
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4.00 Credits
This course provides an introduction to several topics fundamental to computer science. Topics discussed include set algebra, logic, relations and functions, recursion,matrices, graph theory, andmethods of proof. Emphasis is on an algorithmic approach. (prereq:MA-127 or equivalent)
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4.00 Credits
This course is a continuation ofMA-137 and an introduction to the calculus of functions of several variables. The topics include integration by trigonometric substitution and by the use of partial fractions, integration by parts, the trapezoidal rule, improper integrals, L'Hospital's rule,applications of integration to centroids, work, fluid pressure, and arc length, partial derivatives with applications, and parametric equations. (prereq:MA-137)
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3.00 Credits
This course is a continuation ofMA-231. The topics include calculus applications of polar coordinates, as well asmultiple integration and its application to areas, volumes andmoments. Also covered are infinite series, including tests for convergence, power series, Taylor and Maclaurin series, and operations with series. (prereq:MA-231)
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4.00 Credits
This course covers the solution of first-order differential equations, the solution of higher-order linear differential equations with constant coefficients, applications of differential equations, and an introduction to themethod of Laplace transforms. (prereq:MA-231)
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