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Mathematics 2.92: Precalculus Mathematics B
3.00 Credits
CUNY Brooklyn College
3 hours lecture, 1 hour recitation; 2 credits Continuation of Mathematics 2.91. More extensive study of functions; composition of functions, inverse functions. Logarithmic and exponential functions. Trigonometric and inverse trigonometric functions. Conic sections. Binomial theorem. (Not open to students who are enrolled in or have completed Mathematics 2.9 or any mathematics course numbered 3 or higher.) Prerequisite: A grade of C- or higher in Mathematics 2.91 or permission of the chairperson.
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Mathematics 2.92 - Precalculus Mathematics B
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Mathematics 2.99: Introduction to Mathematics for the Social Sciences and Business
3.00 Credits
CUNY Brooklyn College
3 hours; 2 credits Graphs; functions; polynomial and rational functions; exponential and logarithmic functions; the parabola; systems of linear equations and inequalities; geometric series; the binomial theorem. (Not open to students who are enrolled in or have completed any mathematics course numbered 2.9 or higher. Not open to entering freshmen.) Prerequisite: two years of sequential mathematics or mathematics A in high school. Mathematics 235
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Mathematics 2.99 - Introduction to Mathematics for the Social Sciences and Business
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Mathematics 25: Foundations of Geometry
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Critical analysis of foundations of geometry; postulational development of Euclidean and hyperbolic geometries; theories of incidence, order, congruence, parallelism, and measure; ordered linear geometries of arbitrary dimension as join systems (multigroups). Prerequisite: a minimum of six credits in advanced Mathematics Department courses.
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Mathematics 25 - Foundations of Geometry
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Mathematics 27: Introduction to Topology
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Intuitive concepts of topology: topology as a geometry of continuity, topological equivalence; one- and two-dimensional manifolds, Jordan curve theorem. Introduction to general topology; topology of Euclidean, metric, and abstract spaces with emphasis on continuous mappings, compactness, connectedness, completeness, separation axioms. Applications to analysis and geometry. Prerequisite or corequisite: Mathematics 11.1 and permission of the chairperson.
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Mathematics 27 - Introduction to Topology
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Mathematics 3.3: Calculus I
3.00 Credits
CUNY Brooklyn College
3 hours; 3 credits Mathematics 3.3 and 4.3 and 5.3 constitute a three-term sequence. Mathematics 3.3 is an introduction to calculus: derivatives and integrals of algebraic, exponential, logarithmic, and trigonometric functions of one variable, and applications. (Not open to students who have completed Mathematics 3.20 or 4.10.) Prerequisite: three years of high school mathematics including geometry and intermediate algebra and trigonometry or Course 3 of the New York State Sequential Mathematics Curriculum, and assignment on the basis of a placement test; or a grade of C or higher in Mathematics 2.9 or 2.92.
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Mathematics 3.3 - Calculus I
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Mathematics 30: Special Topics in Mathematics
3.00 Credits
CUNY Brooklyn College
3 hours; 3 credits A topic in mathematics not covered in the regular curriculum. The topics will, in general, vary from one offering to another. Course descriptions will be available in the department office before registration in semesters in which the course is to be offered. Students may take this course for credit three times, but may not repeat topics. Prerequisite: Mathematics 4.3 or higher; permission of the chairperson. Mathematics 237
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Mathematics 30 - Special Topics in Mathematics
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Mathematics 37.1: Numerical Analysis
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Introduction to numerical analysis using high-speed computers. Fixed-point and floating-point arithmetic; analysis of errors; numerical solution of algebraic and transcendental equations and systems of linear equations. Interpolation and approximation. Numerical differentiation and integration. Solution of ordinary differential equations. (Not open to students who are enrolled in or have completed Mathematics 37.) Prerequisite: Mathematics 10.1; and Mathematics 5.10 or 5.20 or 4.3 or 4.31; and one of the following: Computer and Information Science 1.10, 1.20, 1.5, the ability to use a scientific programming language.
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Mathematics 37.1 - Numerical Analysis
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Mathematics 39: Chaos and Structural Stability in One-Dimensional Dynamics
3.00 Credits
CUNY Brooklyn College
3 hours lecture, 2 hours laboratory; 4 credits Computer and thought experiments will be used to illustrate concepts from one-dimensional dynamical systems. Lectures will focus on theoretical concepts explaining the phenomena illustrated in the laboratory assignments. Topics include structural stability, chaos, symbolic dynamics, kneading sequences for folding maps, bifurcation in parameter spaces, periodic points and the Sarkovskii ordering. Cantor sets, and fractional dimension. (Not open to students who completed Mathematics 30 in fall 1990.) Prerequisite: Mathematics 4.3.
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Mathematics 39 - Chaos and Structural Stability in One-Dimensional Dynamics
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Mathematics 4.3: Calculus II
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Continuation of Mathematics 3.3. Trigonometric and inverse trigonometric functions, techniques (closed form and numerical) and applications of integration for functions of one variable, improper integrals, l'Hopital's rule, sequences,series, and polar coordinates. (Not open to students who have completed Mathematics 4.20 or 5.10.) Prerequisite: a grade of C- or higher in Mathematics 3.20 or 3.3.
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Mathematics 4.3 - Calculus II
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Mathematics 4.31: Infinite Series
1.00 Credits
CUNY Brooklyn College
1 hour; 1 credit Intended for students who completed Calculus II, without infinite series. Taylor series; tests for convergence. (Not open to students who are enrolled in or have completed Mathematics 4.3 or 5.10 or 5.20). Prerequisite: Mathematics 4.20 with a grade of C- or higher; or permission of the chairperson.
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Mathematics 4.31 - Infinite Series
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