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Online Course

Calculus of Several Real Variables

Indian Institute of Technology Kanpur and NPTEL via Swayam

16
Found in Calculus

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Overview

This course introduces the very important subject called the calculus of several real variables, which has important applications in science and engineering. The modern world would have been impossible without it. We introduce and discuss the subject in a non-traditional way taking the vector approach in most places. We start with the basics of Vectors, study continuity and partial derivatives, study multiple integrals and their applications and end with the stokes Theorem and Gauss divergence theorem.

INTENDED AUDIENCE: Any Interested Learners
PREREQUISITES: Calculus of One Real Variable

Syllabus

COURSE LAYOUT

Week 1: Vectors and Matrices
Week 2: Functions of several variables and partial derivatives
Week 3: IFT, Taylor’s Theorem, Maxima and Minima
Week 4: Lagrange Multiplier Rule
Week 5: Multiple Integrals
Week 6: Line Integrals
Week 7: Surface Integrals
Week 8: Green’s Theorem Strokes Theorem and Gauss Divergence Theorem

Taught by

Prof. Joydeep Dutta

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