About The Course:This course is about basic mathematics, which is a fundamental and essential component of all undergraduate studies in sciences and engineering. This course consists of topics in differential, integral, and vector calculus with applications to various engineering problems. This course will cover calculus of two or more variables in detail. Knowledge of ordinary differential equations are part of this course. Students will learn how to perform double and triple integrals. Topic in vector calculus includesline and surface integrals, Green, Gauss and Stokes theorem. PRE-REQUISITES :Higher SecondaryINTENDED AUDIENCE:All branches of science and engineering
Advanced Calculus For Engineers
Indian Institute of Technology, Kharagpur and NPTEL via Swayam
This course may be unavailable.
Overview
Syllabus
Week 1: Differential calculus of one variable
Week 2: Limit, continuity, partial derivatives of functions of two or more variables
Week 3: Differentiability of functions of two or more variables
Week 4: Differentiation of Homogeneous and Implicit Functions, Taylors theorem of functions of two variables
Week 5: Maxima and Minima
Week 6: First order ODEs
Week 7: Higher order ODEs
Week 8: Improper integrals
Week 9: Double integrals
Week 10: Triple Integrals
Week 11: Vector and scalar field, gradient, divergence and curl
Week 12: Line and surface integrals. Green, Stokes and Gauss divergence theorems
Taught by
Prof. Jitendra Kumar, Prof. Somesh Kumar
