# 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**: R^{n}; 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.

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