20224 Infinitesimal Calculus III 1

Credits: 6 intermediate credits in Mathematics

Prerequisites: none

Required: Infinitesimal Calculus I, Infinitesimal Calculus II, Linear Algebra I

Authors: Judith Gal-Ezer, Zippy Berger, Eli Levin, Dov Monderer, Shmuel Berger

This continuation of Infinitesimal Calculus I (20106) and Infinitesimal Calculus II (20212) deals with multivariate differential and integral calculus.

Topics: Rⁿ; Multivariable functions – limits and continuity; Differential calculus of functions of several variables; Implicitly defined functions; Vector algebra; Differential calculus of vector functions; Double and triple integrals; Rectifiable paths and functions of bounded variation; Line integrals and conservative vector fields; Green’s theorem and its applications; Surface integrals, Gauss’s theorem, Stokes’ theorem.

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1There is some overlap in the content of this and other courses. For details, see Overlapping Courses.