This course is a basic course offered to UG and PG students of Engineering/Science background. It contains various topics related to the calculus of the functions of two or more variables. In particular, this course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.INTENDED AUDIENCE : UG students technical Universities/Colleges,It is a core course for UG.PREREQUISITES :NILINDUSTRY SUPPORT : NIL
Multivariable Calculus
Indian Institute of Technology Roorkee and NPTEL via Swayam
This course may be unavailable.
Overview
Syllabus
Week 1:Limits, continuity and partial derivatives of multivariable functions
Week 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
Week 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
