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Course Criteria
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3.00 Credits
The Help Room on the 3rd floor of Milbank Hall (Barnard College) is open during the day, Monday through Friday, to students seeking individual help from the instructors and teaching assistants. ( SC) Prerequisites: see Courses for First-Year Students. Functions, limits, derivatives, introduction to integrals. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
Methods of integration, applications of the integral, Taylor's theorem, infinite series. (SC) Prerequisites: MATH V1101 or the equivalent. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC) Prerequisites: MATH V1101 with a grade of B or better or Math V1102, or the equivalent. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, Fourier series. (SC) Prerequisites: MATHV1102, V1201, or the equivalent. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
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) Prerequisites: (see Courses for First-Year Students). Recitation Section Required. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 4 points
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3.00 Credits
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. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC) Prerequisites: V1201, or the equivalent. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
A more extensive treatment of the material in Math V2010, with increased emphasis on proof. Not to be taken in addition to Math V2010 or Math V1207-V1208. Prerequisites: Math V1201 3 points
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3.00 Credits
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) Prerequisites: Math V1102-Math V1201 or the equivalent and MATH V2010. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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3.00 Credits
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) Prerequisites: MATH V1202. An elementary course in functions of a complex variable. General Education Requirement: Quantitative and Deductive Reasoning (QUA). 3 points
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