Mathematics I Lecture Note

Description

Name of Notes : – Mathematics I Lecture Note

Introduction

• Module-1 Real Numbers, Functions, Sequences of reals
• Module-2 Limits and Continuity of Functions
• Module-3 Differentiation and Mean Value Theorems
• Module-4 Local / Global Maximum / Minimum and Curve Sketching
• Module-5 Linear and Quadratic Approximations, Newton and Picard Methods
• Module-6 Definition of Integral
• Module-7 Applications of Integration – I
• Module-8 Applications of Integration – II
• Module-9 Infinite Series, Absolute and Conditional Convergence, Taylor and Maclaurin
• Module-10 Scalar fields, Limit and Continuity
• Module-11 Partial derivatives, Chain rules, Implicit differentiation, Directional derivatives
• Module-12 Total differential, Tangent planes and normal
• Module-13 Maxima, Minima and Saddle Points, Constrained maxima and minima
• Module-14 Double Integrals, Applications to Areas and Volumes Change of variables
• Module-15 Vector fields, Gradient, Divergence and Curl
• Module-16 Line Integrals, Conservative fields Green’s Theorem and applications
• Module-17 Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications
• Module-18 Stokes theorem and applications