The class covers more applications of differentiation, antiderivatives, integrals and some applications of integration. Together with a great variety, the subject also has a great coherence, and the hope is students come to appreciate both. Iterated integrals, line and surface integrals, vector analysis with applications to vector potentials and conservative vector fields, physical interpretations. Divergence theorem and the theorems of Green, … We expect all students to be familiar with the following notions: vector operations: dot product, cross product ; ... "Stanford Math Department does not use Piazza or similar platforms in its courses. Math 51 and 42 or equivalent. We will cover the same material as in the Math 41-42 sequence, but at a slightly slower pace. Math 52 Daniel Bump. Divergence theorem and the theorems of Green, Gauss, and Stokes. 5.3: #52, 62 Tip for 4.8 #56: Treat "downward" as the positive direction. Each of Math 20, Math 21, Math 51, Math 52, and Math 53 are offered in every quarter of the academic year. *Math 52 and 53 are independent of each other, but should be taken after completing Math 51. MATH 52 at Stanford University (Stanford) in Stanford, California. Math 61CM-62CM-63CM- Modern Mathematics: Continuous Methods (5 units each) This proof-oriented three-quarter sequence covers the material of 51, 52, 53, and additional advanced calculus, higher-dimensional geometry, and ordinary and partial differential equations. Office: 381K Office: 383CC Office hours: Mon 11-12, Tue 11-12, Fri 1-2 email: bump@math.stanford.edu phone: 723-4011 Oren Antebi. Prerequisite: Math 51, and either Math 52 or Math 53. MATH 52: Integral Calculus of Several Variables. Department of Mathematics Building 380, Stanford, California 94305 Phone: (650) 725-6284 Email. Topics include: The Fourier transform as a tool for solving physical problems. The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used. Math 20 is a 3-credit course in integral calculus. Text: The textbook failed to address the orientation issue adquately. Notes: Do not use the Evaluation Theorem (Fundamental Theorem of Calculus) to solve problems in section 5.2; use only the area and limit properties of the definite integral introduced in that section. Syllabus and Comments (MATH 52 winter 2016) Home Seminar Preprints Others Others . Specific topics include: Riemann integral, techniques of integration and differentiation, polar coordinates, curves, tangent (velocity) vectors to curves, partial derivatives, linear maps and their matrices . Comments (Current) 2/19: This week, we covered orientations, and calculating surface integrals with coordinate elements (p. 1119-20). Please see my note on orientation. 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