Lecture Notes of MTH101

Lecture Notes of MTH101

Lecture 1	The Real Number System	PDF
Lecture 2	Convergence of a Sequence, Monotone Sequences	PDF
Lecture 3	Cauchy Criterion, Bolzano - Weierstrass Theorem	PDF
Lecture 4	Continuity and Limits	PDF
Lecture 5	Existence of Maxima, Intermediate Value Property, Differentiabilty	PDF
Lecture 6	Rolle's Theorem, Mean Value Theorem	PDF
Lecture 7	Cauchy Mean Value Theorem, L'Hospital Rule	PDF
Lecture 8	Fixed Point Iteration Method, Newton's Method	PDF
Lecture 9	Sufficient Conditions for Local Maximum, Point of Inflection	PDF
Lecture 10	Taylor's Theorem	PDF
Lecture 11-13	Infinite Series, Convergence Tests, Leibniz's Theorem	PDF
Lecture 14	Power Series, Taylor Series	PDF
Lecture 15 - 16	Riemann Integration	PDF
Lecture 17	Fundamental Theorems of Calculus, Riemann Sum	PDF
Lecture 18	Improper Integrals	PDF
	Uniform Continuity (Not for Examination)	PDF
Lecture 19	Area Between Two Curves; Polar Coordinates	PDF
Lecture 20	Area in Polar Coordinates,Volume of Solids	PDF
Lecture 21	Washer and Shell Methods, Length of a plane curve	PDF
Lecture 22	Areas of Surfaces of Revolution; Pappus's Theorems	PDF
Lecture 23	Review of vectors, equations of lines and planes; sequences in R^3	PDF
Lecture 24	Calculus of Vector Valued Functions	PDF
Lecture 25	Principal Normal; Curvature	PDF
Lecture 26 -27	Functions of Several Variables : Continuity and Differentiability	PDF
Lecture 28	Directional Derivatives, Gradient, Tangent Plane	PDF
Lecture 29	Mixed derivative Theorem, MVT, Extended MVT	PDF
Lecture 30	Maxima, Minima, Second Derivative Test	PDF
Lecture 31	Lagrange Multiplier Method	PDF
Lecture 32	Double integrals	PDF
Lecture 33	Change of Variable in a Double Integral, Triple Integrals	PDF
Lecture 34	Change of Variables in a Triple Integral, Area of a Parametric Surface	PDF
Lecture 35	Surface Area, Surface Integrals	PDF
Lecture 36	Line Integrals, Green's Theorem	PDF
Lecture 37	Green's Theorem (contd.), curl, Divergence	PDF
Lecture 38	Stokes' Theorem	PDF
Lecture 39	The Divergence Theorem	PDF