Functions of Two or Three Real Variables

Lecture 1 Functions of several variables

Lecture 2: Domain and Range of Functions of more than one variables

Lecture 3 Open and closed sets

Lecture 4 Graph; Level curves; Contour lines of functions of two variables

Lecture 5 Limits of functions of two variables-I

Lecture 6 Problems based on epsilon delta definition of Limits

Lecture 7 Properties of Limits of functions of two variables

Lecture 8 Two path method to declare that limit does not exist

Lecture 9 Continuity of functions of two variables

Lecture 23 (Function of several variables, domain, range and path dependent limits)

Lecture 24

Lecture 25 (Partial Derivatives)

Lecture 26 (Partial derivatives of higher order)

Tutorial 8

Lecture 27 (Chain rule for partial derivatives)

Lecture 28 (Directional Derivatives )

Lecture 29 (Properties of Directional Derivatives)

Lecture 30 (Maxima and Minima)

Lecture 31 (Maxima and minima)

Tutorial 9

Tutorial 10