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MATH 201: Calculus II
4.00 Credits
Cayuga County Community College
Prerequisite: MATH 108 or equivalent. (See Math Flowchart, page 103.) Continuation of Calculus I. Topics include applications of integration in arc length and surface area, work, fluid pressure and fluid force, moments and centroids, integration techniques, L'Hopital's Rule and improper integrals. Alsocovers sequences, infinite series, Taylor Series, interval of convergence, conic sections, parametric equations, polar equations and their graphs. Four class hours weekly.
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MATH 202: Calculus III
4.00 Credits
Cayuga County Community College
Prerequisite: MATH 201 or equivalent. (See Math Flowchart, page 103.) Multivariable calculus including vectors in planes and space; lines, planes and surfaces in space; rectangular, cylindrical and spherical coordinates; vector-valued functions, motion, arc length and curvature; functions of several variables, partial derivatives, chain rules, directional derivatives and gradients, tangent planes; Lagrange multipliers. Also multiple integration applied to volume center of mass and surface area; vector analysis including vector fields, line integrals, Green's Theorem, parametric surfaces, surface integrals, divergence, curl and Stokes' Theorem. Four class hours weekly.
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MATH 203: Linear Algebra
3.00 Credits
Cayuga County Community College
Prerequisite: MATH 108 or equivalent. (See Math Flowchart, page 103.) Introduces linear algebra with emphasis on interpretation and the development of computational techniques. Topics include systems of equations; matrices are utilized for the interpretation of vector spaces, subspaces, independence bases, dimension, inner product, outerproduct, orthogonal and orthonormal sets. Also the transformation of matrices, matrix operations, inverses, conditions for invertibility, determinants and their properties. The characteristics equation and its eigenvalue are used for problem solving and the development of linear transformations. Three class hours weekly.
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MATH 204: Differential Equations and Series
4.00 Credits
Cayuga County Community College
Prerequisite: MATH 201. (See Math Flowchart, page 103.) Techniques for solving differential equations of first and higher order; focus on linear differential equations. Methods include separation of variables, undetermined coefficients, variation of parameters, D-operators, Laplace transforms and infinite series. Applications include formulation, solution and interpretation of initial and boundary value problems in physics, electricity and engineering. Four class hours weekly.
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MATH 210: Math/Data Structures
3.00 Credits
Cayuga County Community College
Prerequisite: C.S. 222. Introduces the student to most commonly used data structures and their implementation. Algorithms and operations show the use of major data structures in computer science. Includes stacks, symbol tables, queues, sets, search trees, strings and graphs. Study provides a basis for developing new algorithms. Three class hours weekly.
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MATH 212: Discrete Mathematics
3.00 Credits
Cayuga County Community College
Prerequisite: MATH 103 or equivalent. Introduction includes propositional and predicate logic, sets, functions, matrix algebra, number theory, algorithms, valid arguments, direct and indirect proofs, proof by contradiction, mathematical induction, permutations, combinations and other counting techniques, and discrete probability.
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MATH 214: Statistics
3.00 Credits
Cayuga County Community College
Prerequisite: MATH 104 or equivalent. Topics range from data collection, descriptive statistics and linear regression models to inferential statistics. Includes probability, counting principles, and binomial probability distribution. The normal probability distribution and student’s t-distribution are discussed in single and two-populations applications. Statistical inference (confidence intervals and hypothesis testing) in sociology, psychology, and business/industry are stressed. Time permitting, additional topics may include Chi-square goodness of fit test, tests for independence, and testing the significance of the linear regression model. Three class hours weekly. Every academic year
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MUSI 100: College Chorus
1.00 Credits
Cayuga County Community College
Open to all students. Provides an opportunity for students to enjoy and develop their singing voices. Activities include concerts for the College and community. Three lab hours weekly. May be repeated for a maximum of four credit hours.
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MUSI 101: Music Appreciation
3.00 Credits
Cayuga County Community College
Studies the art of music listening including the basic elements of music, a variety of musical styles and performing media. Recordings and audio visual materials are supplemented with live music. Three class hours weekly.
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MUSI 101 - Music Appreciation
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MUSI 102: Jazz
3.00 Credits
Cayuga County Community College
History and appreciation of jazz for all musical experience levels. Includes discrimination between jazz and related styles; other listening skills include analysis of aspects of form, rhythm, harmony and melody. Three class hours weekly.
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