Mathematics Ist notes

Module Name	Download	Description	Download Size
Module-1 Real Numbers, Functions, Sequences of reals	Lecture 1 : Real Numbers, Functions [ Section 1.1 : Real Numbers ]	Lecture Notes -pdf	215 kb
Module-1 Real Numbers, Functions, Sequences of reals	Lecture 2 : Convergent & Bounded Sequences	Lecture Notes	140 kb
Module-1 Real Numbers, Functions, Sequences of reals	Lecture 3 : Monotone Sequence and Limit theorem	Lecture Notes	203 kb
Module-2 Limits and Continuity of Functions	Lecture 4 : Limit at a point	Lecture Notes	196 kb
Module-2 Limits and Continuity of Functions	Lecture 5 : Continuity	Lecture Notes	153 kb
Module-2 Limits and Continuity of Functions	Lecture 6 : Properties of Continuous Functions	Lecture Notes	137 kb
Module-3 Differentiation and Mean Value Theorems	Lecture 7 : Differentiation	Lecture Notes	58 kb
Module-3 Differentiation and Mean Value Theorems	Lecture 8 : Chain Rule	Lecture Notes	214 kb
Module-3 Differentiation and Mean Value Theorems	Lecture 9 : Roll\\\'s theorem and Mean Value Theorem	Lecture Notes	311 kb
Module-4 Local / Global Maximum / Minimum and Curve Sketching	Lecture 10 : Sufficient conditions for increasing / decreasing	Lecture Notes	186 kb
Module-4 Local / Global Maximum / Minimum and Curve Sketching	Lecture 11 : Absolute Maximum / Minimum	Lecture Notes	464 kb
Module-4 Local / Global Maximum / Minimum and Curve Sketching	Lecture 12 : Asymptoes	Lecture Notes	228 kb
Module-5 Linear and Quadratic Approximations,Newton and Picard Methods	Lecture 13 : Linear Approximations	Lecture Notes	152 kb
Module-5 Linear and Quadratic Approximations,Newton and Picard Methods	Lecture 14 : Taylor\\\'s Theorem	Lecture Notes	178 kb
Module-5 Linear and Quadratic Approximations,Newton and Picard Methods	Lecture 15 : Newton\\\'s method	Lecture Notes	184 kb
Module-6 Definition of Integral	Lecture 16 : Integral from upper and lower sums	Lecture Notes	330 kb
Module-6 Definition of Integral	Lecture 17 : Fundamental theorem of calculus	Lecture Notes	200 kb
Module-6 Definition of Integral	Lecture 18 : Approximating Integral : Trapezoidal Rule	Lecture Notes	227 kb
Module-7 Applications of Integration - I	Lecture 19 : Definition of the natural logarithmic function	Lecture Notes	157 kb
Module-7 Applications of Integration - I	Lecture 20 : Definition of the power function and logarithmic function with positive base	Lecture Notes	175 kb
Module-7 Applications of Integration - I	Lecture 21 : Relative rate of growth of functions	Lecture Notes	284 kb
Module-8 Applications of Integration - II	Lecture 22 : Arc Length of a Plane Curve	Lecture Notes	196 kb
Module-8 Applications of Integration - II	Lecture 23 : Area of Surface of revolution	Lecture Notes	248 kb
Module-8 Applications of Integration - II	Lecture 24 : Volume of solids of revolution by washer method	Lecture Notes	371 kb
Module-9 Infinite Series, Absolute and Conditional Convergence, Taylor and Maclaurin	Lecture 25 : Series of numbers	Lecture Notes	183 kb
Module-9 Infinite Series, Absolute and Conditional Convergence, Taylor and Maclaurin	Lecture 26 : Absolute convergence	Lecture Notes	197 kb
Module-9 Infinite Series, Absolute and Conditional Convergence, Taylor and Maclaurin	Lecture 27 : Series of functions	Lecture Notes	251 kb
Module-10 Scaler fields, Limit and Continuity	Lecture 28 : Series of functions	Lecture Notes	235 kb
Module-10 Scaler fields, Limit and Continuity	Lecture 29 : Limit of scaler fields	Lecture Notes	189 kb
Module-10 Scaler fields, Limit and Continuity	Lecture 30 : Continuity of scaler fields	Lecture Notes	161 kb
Module-11 Partial derivatives, Chain rules, Implicit differentiation, Directional derivatives	Lecture 31 : Partial derivatives	Lecture Notes	202 kb
Module-11 Partial derivatives, Chain rules, Implicit differentiation, Directional derivatives	Lecture 32 : Chain rules	Lecture Notes	202 kb
Module-11 Partial derivatives, Chain rules, Implicit differentiation, Directional derivatives	Lecture 33 : Implicit differentiation	Lecture Notes	72 kb
Module-12 Total differential, Tangent planes and normals	Lecture 34 : Gradient of a scaler field	Lecture Notes	166 kb
Module-12 Total differential, Tangent planes and normals	Lecture 35 : Tangent plane and normal	Lecture Notes	171 kb
Module-12 Total differential, Tangent planes and normals	Lecture 36 : Mean value theorem and Linearization	Lecture Notes	97 kb
Module-13 Maxima, Minima and Saddle Points, Constrained maxima and minima	Lecture 37 : Maxima and Minima	Lecture Notes	128 kb
Module-13 Maxima, Minima and Saddle Points, Constrained maxima and minima	Lecture 38 : Second derivative test for local maxima / minima & saddle points	Lecture Notes	70 kb
Module-13 Maxima, Minima and Saddle Points, Constrained maxima and minima	Lecture 39 : Absolute maxima / minima	Lecture Notes	215 kb
Module-14 Double Integrals, Applilcations to Areas and Volumes Change of variables	Lecture 40 : Double integrals over rectangular domains	Lecture Notes	449 kb
Module-14 Double Integrals, Applilcations to Areas and Volumes Change of variables	Lecture 41 : Triple integrals	Lecture Notes	254 kb
Module-14 Double Integrals, Applilcations to Areas and Volumes Change of variables	Lecture 42 : Change of variables	Lecture Notes	294 kb
Module-15 Vector fields, Gradient, Divergence and Curl	Lecture 43 : Vector fields and their properties	Lecture Notes	191 kb
Module-15 Vector fields, Gradient, Divergence and Curl	Lecture 44 : Gradient Divergence and Curl	Lecture Notes	3 kb
Module-15 Vector fields, Gradient, Divergence and Curl	Lecture 45 : Curves in space	Lecture Notes	230 kb
Module-16 Line Integrals, Conservative fields Green's Theorem and applications	Lecture 46 : Line integrals	Lecture Notes	279 kb
Module-16 Line Integrals, Conservative fields Green's Theorem and applications	Lecture 47 : Fundamental Theorems of Calculus for Line integrals	Lecture Notes	339 kb
Module-16 Line Integrals, Conservative fields Green's Theorem and applications	Lecture 48 : Green\\\'s Theorem	Lecture Notes	308 kb
Module-17 Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications	Lecture 49 : Surfaces and parameterizations	Lecture Notes	489 kb
Module-17 Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications	Lecture 50 : Surface Integrals	Lecture Notes	318 kb
Module-17 Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications	Lecture 51 : Divergence theorem	Lecture Notes	286 kb
Module-18 Stokess theorem and applications	Lecture 52 : Orienting the boundary of an orientable surface	Lecture Notes	182 kb
Module-18 Stokess theorem and applications	Lecture 53 : Stokes\\\' theorem for general domains	Lecture Notes	168 kb
Module-18 Stokess theorem and applications	Lecture 54 : Application of Stokes\\\' theorem	Lecture Notes	140 kb