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MATH V1202: Calculus IV
3.00 Credits
Columbia University in the City of New York
No course description available.
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MATH V1202 - Calculus IV
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MATH V1207: Honors Mathematics A
4.00 Credits
Columbia University in the City of New York
Prerequisites: (see Courses for First-Year Students). The second term of this course may not be taken without the first. Multivariable calculus and linear algebra from a rigorous point of view. Recommended for mathematics majors. Fulfills the linear algebra requirement for the major. (SC) Recitation Section Required.
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MATH V1207 - Honors Mathematics A
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MATH V1208: Honors Mathematics B
4.00 Credits
Columbia University in the City of New York
Prerequisites: (see Courses for First-Year Students). The second term of this course may not be taken without the first. Multivariable calculus and linear algebra from a rigorous point of view. Recommended for mathematics majors. Fulfills the linear algebra requirement for the major. (SC) Recitation Section Required.
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MATH V1208 - Honors Mathematics B
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MATH V2000: An Introduction to higher Mathematics
3.00 Credits
Columbia University in the City of New York
Introduction to understanding and writing mathematical proofs. Emphasis on precise thinking and the presentation of mathematical results, both in oral and in written form. Intended for students who are considering majoring in mathematics but wish additional training.
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MATH V2000 - An Introduction to higher Mathematics
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MATH V2010: Linear Algebra
3.00 Credits
Columbia University in the City of New York
Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
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MATH V2010 - Linear Algebra
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MATH V2500: Analysis and Optimization
3.00 Credits
Columbia University in the City of New York
Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control. (SC)
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MATH V2500 - Analysis and Optimization
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MATH V3007: Complex Variables
3.00 Credits
Columbia University in the City of New York
An elementary course in functions of a complex variable. Fundamental properties of the complex numbers, differentiability, Cauchy-Riemann equations. Cauchy integral theorem. Taylor and Laurent series, poles, and essential singularities. Residue theorem and conformal mapping.(SC)
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MATH V3007 - Complex Variables
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MATH V3025: Making, breaking codes
3.00 Credits
Columbia University in the City of New York
Prerequisites: Calculus I, II, III and Linear Algebra. A concrete introduction to abstract algebra. Topics in abstract algebra used in cryptography and coding theory.
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MATH V3025 - Making, breaking codes
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MATH V3027: Ordinary Differential Equations
3.00 Credits
Columbia University in the City of New York
Equations of order one; systems of linear equations. Second-order equations. Series solutions at regular and singular points. Boundary value problems. Selected applications.
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MATH V3027 - Ordinary Differential Equations
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MATH V3028: Partial Differential Equations
3.00 Credits
Columbia University in the City of New York
Introduction to partial differential equations. First-order equations. Linear second-order equations; separation of variables, solution by series expansions. Boundary value problems.
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