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MAC 3065: Intelligent Robots
1.50 Credits
Manhattanville College
This course introduces students to programming autonomous, mobile robots. It begins with an introduction to the programming environment, which the students will then use to program the mobile robots. Once students, working in teams of two have developed a program implementing the behavior of the robot, the program is downloaded to the robot via a data connection. The connection is then severed, allowing the robot to autonomously use its programmed behavior to interact with its environment and carry out its pre-determined task. Prerequisite: Programming and Multimedia in Java (MAC 2010) ( every third year)
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MAC 3998: Senior Evaluation
3.00 Credits
Manhattanville College
A thesis written under the direction of a department faculty member.
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MATH 1006: Mathematics for the Liberal Arts Student
3.00 Credits
Manhattanville College
This course is intended as an invitation to anyone who, while not interested in developing a technical facility in calculation, is interested in gaining an appreciation of the methods and scope of mathematics. The emphasis will be on topics not usually covered in a general algebra — trigonometry sequence. The approach will be conceptual, rather than computational. (Spring)
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MATH 1012: Introduction to College Math
4.00 Credits
Manhattanville College
The purpose of the course is to broaden and strengthen the student's high school mathematics background and to prepare for the study of calculus. Topics will include algebra and functions including exponential, logarithmic and trigonometric functions. ( Fall) (Spring)
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MATH 1030: Calculus I
4.00 Credits
Manhattanville College
Topics in this course will include functions, limits, and continuity; derivatives of polynomials, products, quotients, trigonometric, and implicit functions; applications to related rates, maximum-minimum problems and graphing; antiderivatives, the Fundamental Theorem of Calculus, and area problems. A computer symbolic algebra component is included. Prerequisite: four years of high school mathematics or Introduction to College Math or its equivalent. ( Fall) (Spring)
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MATH 1032: Calculus II
4.00 Credits
Manhattanville College
Topics in this course will include applications of integrals to volumes of revolution, differentiation and integration of logarithmic, exponential, and inverse trigonometric functions, indeterminate forms, techniques of integration, improper integrals, sequences and series, Taylor’s Theorem, parametric equations, and polar coordinates. A computer symbolic algebra component is included. Prerequisite: Calculus I. ( Fall) (Spring)
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MATH 2021: Differential Equations
4.00 Credits
Manhattanville College
This course will discuss classification of types of differential equations, elementary and non-elementary solutions, solutions to first order differential equations, existence and uniqueness theorems, solutions by approximation methods, solutions to second order differential equations, series solutions, nth order differential equations. A computer symbolic algebra component is included. Prerequisite: Calculus II. ( Spring)
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MATH 2023: Fundamental Concepts of Mathematics
4.00 Credits
Manhattanville College
This course will discuss basic concepts of symbolic logic, axiomatic method, set theory, cardinality, and various mathematical systems. The emphasis of the course is the creation and understanding of mathematical proofs. Prerequisite: Calculus II. ( Spring)
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MATH 2030: Calculus III
4.00 Credits
Manhattanville College
This course will focus on three-dimensional space, including the following topics: vectors, surfaces, planes and lines in threespace, partial derivatives and the gradient, vector functions, multiple integrals, line integrals, and Green's Theorem. A computer symbolic algebra component is included. Prerequisite: Calculus II. ( Fall)
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MATH 2075: Probability
3.00 Credits
Manhattanville College
This course provides an introduction to probability using the methods of calculus. Topics covered include: sample spaces, events as subspaces, probability axioms; binomial coefficients and counting techniques applied to probability problems; random variables (discrete and continuous), probability functions, density and distribution functions and special distributions; Poisson and normal distributions, the central limit theorem and law of large numbers. Corequisite: Calculus II. (Fall)
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