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MTH 228: Discrete Mathematical Structures for Computer Science
3.00 Credits
CUNY College of Staten Island
(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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MTH 228 - Discrete Mathematical Structures for Computer Science
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MTH 229: Calculus Computer Laboratory
1.00 Credits
CUNY College of Staten Island
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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MTH 229 - Calculus Computer Laboratory
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MTH 230: Calculus I with Pre-Calculus
6.00 Credits
CUNY College of Staten Island
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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MTH 230 - Calculus I with Pre-Calculus
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MTH 231: Analytic Geometry and Calculus I
4.00 Credits
CUNY College of Staten Island
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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MTH 231 - Analytic Geometry and Calculus I
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MTH 232: Analytic Geometry and Calculus II
4.00 Credits
CUNY College of Staten Island
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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MTH 232 - Analytic Geometry and Calculus II
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MTH 233: Analytic Geometry and Calculus III
4.00 Credits
CUNY College of Staten Island
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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MTH 233 - Analytic Geometry and Calculus III
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MTH 235: Accelerated Calculus I
6.00 Credits
CUNY College of Staten Island
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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MTH 235 - Accelerated Calculus I
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MTH 236: Accelerated Calculus II
6.00 Credits
CUNY College of Staten Island
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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MTH 236 - Accelerated Calculus II
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MTH 306: History of Mathematical Thought
4.00 Credits
CUNY College of Staten Island
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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MTH 306 - History of Mathematical Thought
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MTH 311: Probability Theory and an Introduction to Mathematical Statistics
4.00 Credits
CUNY College of Staten Island
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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MTH 311 - Probability Theory and an Introduction to Mathematical Statistics
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