2. K'oen / het Ontvangende

Indian Institute of Technology Kanpur

Core Science - Mathematics

Lectures by Prof. S.K.Ray Department of Mathematics and Statistics IIT Kanpur

Lecture 1 Real Number

Lecture 2 Sequences I

Lecture 3 Sequences II

Lecture 4 Sequences III

Lecture 5 Continuous Function

Lecture 6 Properties of Continuous function

Lecture 7 Uniform Continuity

Lecture 8 - Differentiable function

Lecture 9 Mean Value Theorems

Lecture 10 Maxima - Minima

Lecture 11 Taylor's Theorem

Lecture 12 Curve Sketching

Lecture 13 Infinite Series I

Lecture 14 Infinite Series II

Lecture 15 Tests of Convergence

Lecture 16 Power Series

Lecture 17 Riemann integral

Lecture 18 Riemann Integrable functions

Lecture 19 Applications of Riemann Integral

Lecture 20 Length of a curve

Lecture 21 Line integrals

Lecture 22 Functions of several variables

Lecture 23 Differentiation

Lecture 24 Derivatives

Lecture 25 Mean Value Theorem

Lecture 26 Maxima Minima

Lecture 27 Method of Lagrange Multipliers

Lecture 28 Multiple Integrals

Lecture 29 Surface Integrals

Lecture 30 Green's Theorem

Lecture 31 Stokes Theorem

Lecture 32 Guass Divergence Theorem

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