Multivariable calculus
Indian Institute of Technology Roorkee and NPTEL via Swayam
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Overview
INTENDED AUDIENCE : UG students technical Universities/Colleges,It is a core course for UG.PREREQUISITES :NILINDUSTRY SUPPORT : NIL
Syllabus
COURSE LAYOUT
Week 1:Limits, continuity and partial derivatives of multivariable functionsWeek 2:Differentiability and chain rule
Week 3:Change of variables, Euler’s theorem, tangent planes, normal lines and extreme values
Week 4:Taylor’s theorem, error approximation, polar curves and multiple integrals
Week 5:Change of order and change of variables in multiple integral
Week 6:Beta and gamma functions
Week 7:Normal vector and potential field
Week 8:vector identities and line integral
Taught by
S. K. Gupta and Sanjeev Kumar
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