IOE 1ST SEMESTER BASIC MATHEMATICS NOTE - PDF DOWNLOAD

Solution of engineering mathematics volume 1 IOE

 
IOE 1ST SEMESTER BASIC MATHEMATICS NOTE

 
 
IOE 1st year mathematics note and PDF download. Are you searching for the PDF of Engineering mathematics 1 solution Tu. then hold on you are in right Place. Here you will get embeed link of basic 1st year mathematics solution book.
 
 

READ  Solution of 1st year 1st semester basic Mathematics

 

 

 Realated post: Engineering Physic Note

 

1st year 1 sem Basic Mathematics:  Download here 

 

Syllabus 

 

1. Derivatives and their Applications


1.1   Introduction

1.2   Higher order derivatives

1.3   Mean value theorem

1.3.1          Rolle’s theorem

1.3.2          Lagrange’s mean value theorem

1.3.3          Cauchy’s mean value theorem

1.4   Power series of single valued function

1.4.1          Taylor’s series

1.4.2          Maclaurin’s series

1.5   Indeterminate forms: L Hospital rule

1.6   Asymptotes to Cartesian and polar curves

1.7   Pedal equations to Cartesian and polar curves; curvature and radius of curvature


2.  Integration and its application


2.1   Introduction

2.2   Definite integrals and their properties

2.3   Improper integrals

2.4   Differentiation under integral signs

2.5   Reduction formula: Beta Gama functions

2.6   Application of integrals for finding areas arc length, surface and solid of revolution in the plane for Cartesian and polar curves


3. Plane Analytic Geometry


3.1   Transformation of coordinates: Translation and rotation

3.2   Ellipse and hyperbola: Standard forms, tangent and normal

3.3   General equation of conics in Cartesian and polar forms


4. Ordinary Differential equations and their applications


4.1   First order and first degree differential equations

4.2   Homogenous differential equations

4.3   Linear differential equations

4.4   Equation reducible to linear differential equations: Bernoulli’s equation

4.5   First order and higher degree differential equation: Clairaut’s equation

4.6   Second order and first degree linear differential equations with constant coefficients

4.7   Second order and first degree linear differential equations with variable coefficients: Cauchy’s equation

4.8   Applications in Engineering field

 

 

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