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Course Criteria
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0.00 - 4.00 Credits
A continuation of Calculus II. A study of sequences and series including convergence tests, power series, and Taylor and Maclaurin series; and vectors and vector functions including arc length and curvature. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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0.00 - 4.00 Credits
A continuation of Calculus III. A study of functions of several variables, tangent planes, directional derivatives and gradients, extreme values, double and triple integrals, and vector calculus including line and surface integrals, Green's Theorem, Stoke's Theorem, and the Divergence Theorem. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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3.00 Credits
An introduction to the mathematical terminology, tools, and theory that form the foundation for much of the material in mathematics and computer science. Topics include: logic, methods of proof including mathematical induction; and elements of set theory, number theory, and probability theory and combinatorics. This course is a prerequisite for all mathematics courses numbered above Calculus IV. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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0.00 - 4.00 Credits
An introduction to the numerical methods of mathematics. Topics include: the approximate solution of equations and systems of equations, Newton's method and other iteration schemes, interpolation, method of least squares for curve fitting, numerical integration, numerical solution of systems of linear equations, and numerical solution of ordinary differential equations. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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0.00 - 4.00 Credits
This is a calculus-based probability course. Topics include: axioms of probability, sample spaces, laws of probability, conditional probability, Bayes' Theorem, random variables, discrete and continuous distributions, expected value, variance, covariance, and moment-generating functions, multivariable distributions and functions of a random variable. The course will also include the standard convergence theorems, e.g., the law of large numbers and the central limit theorem. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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0.00 - 4.00 Credits
An introduction to finite-dimensional linear vector spaces. Topics include: matrices and systems of equations; abstract vector spaces; bases and dimension; linear transformations; eigenvalues and eigenvectors. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department Course Attributes: WRITING INTENSIVE
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0.00 - 4.00 Credits
A study of elementary number theory. Topics include: properties of the integers including divisibility, primes, the Euclidean Algorithm and the Fundamental Theorem of Arithmetic; congruences including the Euler Phi-Function, solving linear and quadratic congruences, the Chinese Remainder Theorem, the Quadratic Reciprocity Law and Diophantine analysis. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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3.00 Credits
The descriptions and topics of this course change from semester-to-semester, as well as from instructor-to-instructor. Prerequisite: varies with the topic offered. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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0.00 - 4.00 Credits
This course designation describes a transfer course from another institution where an equivalency to a Ramapo College course has not been determined. Upon convener evaluation, this course ID may be changed to an equivalent of a Ramapo College course or may fulfill a requirement. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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0.00 - 4.00 Credits
This course designation is used to describe a transfer course from another institution which has been evaluated by the convener. A course with this course number has no equivalent Ramapo course. It may fulfill a requirement or may count as a free elective. 0.000 TO 4.000 Credit Hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Theoretical & Applied Science College Mathematics Department
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