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Mathematics 13: Elementary Differential Equations
3.00 Credits
CUNY Brooklyn College
3 hours; 3 credits Standard methods of solving ordinary differential equations; geometric interpretations; problems in physics leading to differential equations. Prerequisite or corequisite: Mathematics 5.3.
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Mathematics 13 - Elementary Differential Equations
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Mathematics 13.5: Partial Differential Equations
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Solution of partial differential equations; theory of Fourier series and their applications to boundary value problems; applications to mathematical physics; transform methods; numerical methods; systems of orthogonal functions. Prerequisite: Mathematics 13.
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Mathematics 13.5 - Partial Differential Equations
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Mathematics 14.1: Abstract Algebra I
3.00 Credits
CUNY Brooklyn College
3 hours; 3 credits Elementary theory of groups, rings, and fields; integers, rationals, real and complex numbers; elements of number theory, polynomials. Prerequisite: Mathematics 5.10 or 5.20 or 5.3; and Mathematics 10.1.
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Mathematics 14.1 - Abstract Algebra I
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Mathematics 14.5: Linear Algebra II
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Determinants, matrices, and systems of linear equations; linear dependence; vector spaces; eigenvalues, and eigenvectors; matrix equations; linear transformations; convex sets. Prerequisite: Mathematics 10.1 and 14.1.
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Mathematics 14.5 - Linear Algebra II
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Mathematics 15: Introduction to Functions of a Complex Variable
4.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Calculus of complex functions; Cauchy's integral theorem; Laurent series, singularities; residues; properties of analytic functions; conformal mapping; analytic continuation. Prerequisite: Mathematics 11.1 and permission of the chairperson.
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Mathematics 15 - Introduction to Functions of a Complex Variable
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Mathematics 17: Theory of Numbers
3.00 Credits
CUNY Brooklyn College
3 hours; 3 credits Congruences; quadratic residues; diophantine equations; factorization. Prerequisite: Mathematics 14.1.
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Mathematics 17 - Theory of Numbers
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Mathematics 18.1: Abstract Algebra
11.00 Credits
CUNY Brooklyn College
4 hours; 4 credits Groups, rings, integral domains, fields; homomorphisms and isomorphisms; polynomials over a field; factorization; vector spaces over a field; field extensions and applications; introduction to Galois theory. Prerequisite: Mathematics 14.1.
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Mathematics 18.1 - Abstract Algebra
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Mathematics 2.5: Thinking Mathematically
3.00 Credits
CUNY Brooklyn College
3 hours; 3 credits Problem solving and applications of mathematical thinking in the real world and in the ideal world of mathematics. Elementary number theory and public key cryptography. Integers, rational numbers, real numbers, and the sizes of various infinite sets. Additional topic chosen from: geometry, elementary topology, chaos and fractals, probability. (Not open to students who are enrolled in or have completed Core Studies 5 or 5.2 or any mathematics course numbered 3 or higher.) Prerequisite: two years of sequential mathematics or the equivalent.
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Mathematics 2.5 - Thinking Mathematically
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Mathematics 2.9: Precalculus Mathematics
4.00 Credits
CUNY Brooklyn College
4 hours; 3 credits Preparation for calculus. Trigonometry. The concept of function, including exponential, logarithmic, trigonometric, and inverse trigonometric functions. Introduction to limit ideas. (Not open to students who are enrolled in or have completed a Mathematics Department course numbered 2.91 or higher.) Prerequisite: Course 3 of the New York State Sequential Mathematics Curriculum, or a grade of C- or higher in Mathematics 0.47, or the equivalent; and assignment on the basis of a placement test.
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Mathematics 2.9 - Precalculus Mathematics
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Mathematics 2.91: Precalculus Mathematics A
3.00 Credits
CUNY Brooklyn College
3 hours lecture, 1 hour recitation; 2 credits Preparation for calculus with more introductory material than Mathematics 2.9. Mathematics 2.91 and 2.92 constitute a two-term sequence for students who are not prepared for Mathematics 2.9 or who wish a review. Real numbers. Complex numbers. Graphs. Functions, especially linear and quadratic functions. Polynomials and rational functions. Trigonometry. (Not open to students who are enrolled in or have completed Mathematics 2.9 or any mathematics course numbered 3 or higher.) Prerequisite: Course 2 of the New York State Sequential Mathematics Curriculum or the equivalent.
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Mathematics 2.91 - Precalculus Mathematics A
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