Mathematics II


Introduction to multivariable calculus. Topics include partial derivatives, double and triple integrals, line integrals, vector fields, Green's theorem, Stokes' theorem, and the divergence theorem.


Objectives


Prerequisites


Syllabus

Vectors and the Geometry of Space. Lines and Planes in Space. Cylinders and Quadric Surfaces. Vector-Valued Functions and their Derivatives. Functions of Several Variables. Limits and Continuity in Higher Dimensions. Partial Derivatives and their Applications. Multiple Integrals. Integration in Vector Fields. Green’s Theorem in the Plane. Stokes’ Theorem. The Divergence Theorem and a Unified Theory.

COURSE DETAILS

Level:

Type:

Undergraduate

(A-)


Instructors: Evangelos Hadjigeorgiou
Department: Department of Materials Science and Engineering
Institution: University of Ioannina
Subject: Other Natural Sciences
Rights: cc

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