Engineering Mathematics I

✍ Scribed by N. Subramaniam, K. S Ramaswami

• Publisher: Pearson Education
• Year: 2017
• Tongue: English
• Leaves: 601
• Category: Library

✦ Table of Contents

Cover
About Pearson
Title
Copyright
Dedication
Roadmap to the syllabus
Contents
Preface
About the Authors
Chapter 1 Differential Calculus
1.1 Functions
1.2 Limit of a Function
1.3 Continuity
1.4 Derivatives
1.5 Methods of Differentiation
1.6 Second and Higher Order Derivatives
1.7 Maxima and Minima of Functions of One Variable
Short Questions and Answers
Chapter 2 Functions of Several Variables
2.1 Limit and Continuity
2.2 Partial Derivatives
2.3 Homogenous Functions and Euler’s Theorem
2.4 Total Differentiation
2.5 Differentiation of Implicit Function
2.6 Jacobian
2.7 Taylor’s Theorem for Functions of Two Variables
2.8 Maxima and Minima of Functions of Two Variables
2.9 Constrained Maxima and Minima
Short Questions and Answers
Chapter 3 Integral Calculus
3.1 Introduction
3.2 Definite and Indefinite Integrals
3.3 Methods of Integration
3.4 Evaluation of Trigonometric Integrals
3.5 Integration of Rational Functions by Partial Fraction
3.6 Integration of Irrational Functions
3.7 Improper Integrals
Short Questions and Answers
Chapter 4 Multiple Integrals
4.1 Double Integrals
4.2 Change of Order of Integration
4.3 Area as a Double Integral
4.4 Change of Variables in Double Integral
4.5 Area of Curved Surfaces
4.6 Triple Integrals
4.7 Change of Variables in Triple Integral
Short Questions and Answers
Chapter 5 Ordinary Differential Equations
5.1 Linear Differential Equations of Second and Higher Order
5.2 Method of Variation of Parameters
5.3 Homogeneous Linear Equation with Variable Coefficients
5.4 Method of Undetermined Coefficients
5.5 Simultaneous First Order Linear Differential Equations with Constant Coefficients
Short Questions and Answers