Calculus of Several Real Variables

Go to class
Write Review

Free Online Course: Calculus of Several Real Variables provided by Swayam is a comprehensive online course, which lasts for 8 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Calculus of Several Real Variables is taught by Prof. Joydeep Dutta.

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 LearnersPREREQUISITES: Calculus of One Real Variable

Syllabus
  • Week 1: Vectors and MatricesWeek 2: Functions of several variables and partial derivativesWeek 3: IFT, Taylor’s Theorem, Maxima and MinimaWeek 4: Lagrange Multiplier RuleWeek 5: Multiple IntegralsWeek 6: Line IntegralsWeek 7: Surface IntegralsWeek 8: Green’s Theorem Strokes Theorem and Gauss Divergence Theorem