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19th November 2015, 08:50 AM
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| Re: IIT Kanpur Mathematics Lecture Notes
As you want ia m here giving you lecture notes of Mathematics subject Lecture of IIT Kanpur. I having notes of lectures as : The Real Number System Convergence of a Sequence, Monotone Sequences Cauchy Criterion, Bolzano - Weierstrass Theorem Continuity and Limits Existence of Maxima, Intermediate Value Property, Differentiabilty Rolle's Theorem, Mean Value Theorem Cauchy Mean Value Theorem, L'Hospital Rule Fixed Point Iteration Method, Newton's Method Sufficient Conditions for Local Maximum, Point of Inflection Taylor's Theorem Infinite Series, Convergence Tests, Leibniz's Theorem Power Series, Taylor Series Riemann Integration Fundamental Theorems of Calculus, Riemann Sum Improper Integrals Uniform Continuity (Not for Examination) Area Between Two Curves; Polar Coordinates Area in Polar Coordinates,Volume of Solids Washer and Shell Methods, Length of a plane curve Areas of Surfaces of Revolution; Pappus's Theorems Review of vectors, equations of lines and planes; sequences in R^3 Calculus of Vector Valued Functions Principal Normal; Curvature Functions of Several Variables : Continuity and Differentiability Directional Derivatives, Gradient, Tangent Plane Mixed derivative Theorem, MVT, Extended MVT Maxima, Minima, Second Derivative Test Lagrange Multiplier Method Double integrals Change of Variable in a Double Integral, Triple Integrals Change of Variables in a Triple Integral, Area of a Parametric Surface Surface Area, Surface Integrals Line Integrals, Green's Theorem Green's Theorem (contd.), curl, Divergence Stokes' Theorem The Divergence Theorem Notes of Convergence of a Sequence, Monotone Sequences lecture     Address: Indian Institute of Technology Kanpur Kalyanpur Kanpur, Uttar Pradesh 208016 |