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MATH 111: Pre-Calculus
3.00 Credits
Manhattan College
Review of elementary algebra, introduction to analytic geometry, functions and their graphs, logarithmic and exponential functions, polynomial functions. (Meets four hours per week.) (Cr. 3)
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MATH 111 - Pre-Calculus
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MATH 112-113: Calculus with Pre-Calculus
3.00 Credits
Manhattan College
Limits, derivatives, curve sketching and applications, antiderivatives and the definite integral. Calculus topics are integrated with a review of pre-calculus topics in context. Completion of the sequence is equivalent to completion of MATH 103. (Meets four hours per week.) (Cr. 3)
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MATH 112-113 - Calculus with Pre-Calculus
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MATH 201: Calculus III
3.00 Credits
Manhattan College
Algebraic and geometric aspects of vectors, functions of several variables, partial derivatives and multiple integrals. Prerequisite: MATH 104 or 110. (Cr. 3)
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MATH 201 - Calculus III
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MATH 203: Differential Equations
3.00 Credits
Manhattan College
This course focuses on techniques of solving first and second order ordinary differential equations. Methods include separation of variables, variation of parameters, and the Laplace transform. Applications include linear and nonlinear models. Prerequisite: MATH 201 or 209 or permission of instructor. (Cr. 3)
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MATH 203 - Differential Equations
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MATH 209: Honors Calculus III
3.00 Credits
Manhattan College
Continuation of MATH 109-110. Fall. Prerequisite: MATH 110. (Cr.3)
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MATH 209 - Honors Calculus III
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MATH 211: Elementary Statistics
3.00 Credits
Manhattan College
An introduction to statistical methods: descriptive statistics, association between two variables, basic probability, discrete random variables, binomial and normal random variables, sampling distribution, confidence intervals, tests of significance. (Cr. 3)
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MATH 211 - Elementary Statistics
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MATH 213: Foundations for Higher Mathematics
3.00 Credits
Manhattan College
This course will serve as a bridge between introductory and advanced mathematics. The context of set theory and logic will be used to develop the skills of constructing and interpreting mathematical proofs. Topics include principles of logical argument, congruence modulo n, induction, sets, functions, relations, equivalence relations, countability and uncountability of sets. Fall. Prerequisite: MATH 104 or MATH 110, or permission of instructor. (Cr. 3) 215. Linear Algebra. Linear equations and matrices, vector spaces, subspaces, linear independence, bases, dimension, inner product spaces, linear transformations, eigenvalues and eigenvectors, orthogonal matrices and diagonalization. Prerequisites: MATH 213, or permission of instructor. (Cr. 3)
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MATH 213 - Foundations for Higher Mathematics
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MATH 216: Discrete Mathematics for Computer Science
3.00 Credits
Manhattan College
An introduction to the mathematical concepts and techniques most frequently needed in the study of computer science: logic, induction, sets and relations, matrix algebra, and recursion. Fall. Prerequisite: MATH 104, or permission of the chair. (Cr. 3)
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MATH 216 - Discrete Mathematics for Computer Science
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MATH 221 ,222: Mathematics for the Elementary School Teachers I and II
3.00 Credits
Manhattan College
Courses for prospective teachers in the elementary school who are not majoring in mathematics. The content and method will follow the current standards of the National Council of Teachers of Mathematics for the elementary level. Topics include tools for problem solving, numeration systems, number theory, geometry, and trigonometry. (Cr. 3, 3)
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MATH 221 ,222 - Mathematics for the Elementary School Teachers I and II
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MATH 305: Vector Calculus
3.00 Credits
Manhattan College
Review of vector algebra. Vector-valued functions. Divergence and curl. Multiple integrals; different coordinate systems. Line integrals, Green's Theorem, independence of path, conservative force fields. Surface integrals, Divergence Theorem. Stokes' Theorem. Applications. Prerequisite: MATH 201 or 209. (Cr. 3)
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MATH 305 - Vector Calculus
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