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Mathematics I Lecture Note

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Name of Notes : – Mathematics I Lecture Note

Introduction

This book has been designed as per the Mathematics-1 course offered in the first year to the undergraduate engineering students of GTU. It provides crisp but complete explanation of topics which helps in easy understanding of the basic concepts. The systematic approach followed in the book enables readers to develop a logical perspective for solving problems. The book also contains the list of basic formulas and the solutions on 2018 university asked questions

The mathematical study of change like motion, growth or decay is calculus. The Rate of change of given function is derivative or differential.

The concept of derivative is essential in day to day life. Also applicable in Engineering, Science, Economics, Medicine etc.

Modules / Lectures

  • 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

Additional information

Product Name

Mathematics I Lecture Note

Product Size

10.0 MB

Format

File Format

File Category

DEPARTMENT/COURSE

Need For

College, Competition, Entrance, Exams, PSU, Semester, University

Product Type

Written By

Prof. Inder K Rana

Provided By

IIT Bombay

Uploaded By

Roop Chandra

Languages

English

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