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Course Criteria
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3.00 Credits
(Also CSC 228) 3 class hours, 3 laboratory hours; 4 credits An intermediate-level programming and discrete mathematics course where concepts of discrete structures will be applied to computer science. Topics include elementary set theory, logic, functions, relations, Boolean algebra, elements of graph theory, matrix representation of graphs, and matrix manipulations. Programming projects will be related to mathematical topics. Compound data types, recursive programming and mathematical induction will be introduced. Prerequisites: CSC 211; MTH 123 or MTH 130 or MTH 230 or MTH 231 or MTH 235
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1.00 Credits
2 laboratory hours; 1 credit Computer projects to reinforce calculus concepts from numerical and graphical points of view will be presented. Suitable mathematical software will be utilized. Problem solving techniques using the computer will be discussed. The students will be assigned a number of projects to be completed individually or in small groups. Corequisite: MTH 230 or MTH 231 or MTH 235
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6.00 Credits
6 hours; 6 credits Pre-calculus material including functions, inverse functions, identities, theory of equations, and the binomial theorem. Material on calculus and analytic geometry corresponding to MTH 231 including differentiation and integration techniques with applications. (math) Prerequisite: MTH 123 with a grade of B or better or an appropriate score on the CUNY proficiency/placement exam or permission of the Department of Mathematics Corequisite: MTH 229
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4.00 Credits
4 hours; 3 credits The first of a three-semester sequence in calculus. Topics include limits, derivatives, rules of differentiation, trigonometric functions and their derivatives, differentials, graph sketching, maximum and minimum problems, related rates, antiderivatives, areas, exponential and logarithmic functions. (math) Prerequisite: MTH 123 with a grade of A or MTH 130 or an appropriate score on the CUNY proficiency/placement exam or permission of the Department of Mathematics Corequisite: MTH 229
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4.00 Credits
4 hours; 3 credits The second of a three-semester sequence in calculus. Topics include areas between curves, volumes of solids of revolution, techniques of integration, sequences and series, improper integrals, polar coordinates, and parametric representative of curves. Prerequisite: MTH 230 or MTH 231 Pre- or corequisite: MTH 229
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4.00 Credits
4 hours; 3 credits The third of a three-semester sequence in calculus. Topics include vectors, solid analytic geometry, partial derivatives, multiple integrals with applications. Prerequisite: MTH 232 Pre- or corequisite: MTH 229 or permission of the department
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6.00 Credits
6 hours; 5 credits Differential and integral calculus of functions of a single variable; the derivative, integration, transcendental functions; evaluation of integrals. (math) Prerequisite: MTH 130 or an appropriate score on the CUNY proficiency/placement exam or permission of the Department of Mathematics Corequisite: MTH 229
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6.00 Credits
6 hours; 5 credits Differential and integral calculus of functions of more than one variable. Infinite sequences and series, polar coordinates, elements of vector analysis, partial derivatives, multiple integrals. Prerequisite: MTH 235 Pre- or corequisite: MTH 229
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4.00 Credits
4 hours; 4 credits Babylonian and Egyptian mathematics. The Greek achievement: Eudoxus, Euclid, Archimedes, and Apollonius; mathematics of the Hindus, Muslims, and Chinese. The medieval period in Europe. Algebra in the 16th and 17th centuries. The creation of the calculus. Selected developments in the 18th and 19th centuries. Prerequisite: MTH 233 or MTH 236
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4.00 Credits
4 hours; 4 credits A calculus-based treatment of elementary probability theory, where the notion of sample space, events, and probability is introduced. The basic probability models are discussed. Notion of density and distribution function is introduced. Furthermore, conditioning, independence, and expectation are discussed. Basic concepts of statistics, sample, parameter estimation, confidence interval, hypothesis testing, central limit theorem are treated. Prerequisite: MTH 233 or MTH 236
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