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Punyashlok Ahilyadevi Holkar Solapur University, Maharashtra
Civil Engineering
Engineering Mathematics 3
Punyashlok Ahilyadevi Holkar Solapur University, Maharashtra, Civil Engineering Semester 4, Engineering Mathematics 3 Syllabus
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Unit - 1 Higher Order Linear Differential Equations And Applications
Unit 1
Higher order linear differential equations and applications
1.2 Particular integral by general method without method of variation of parameters for other functions
1.3 Homogeneous Linear Differential equations
1.4 Legendre’s Linear equation
1.5 Civil Engineering Applications
Unit - 2 First Order Partial Differential Equations
Unit 2
First order partial differential equations
2.1 Non – Linear partial differential Equations of Type I ƒp q 0 Type II ƒpqz0 Type III ƒ2 p x ƒ2 qy
2.2 Linear partial differential equation Lagrange’s method
2.3 Solution of partial differential equation by method of separation of variables
Unit - 3 Fourier Series
Unit 3
Fourier series
3.1 Introduction Definition and Eular’s formula
3.2 Fourier series of periodic functions with period 2π and 2L Dirichlet’s theorem Only statement
3.3 Even and odd functions half range sine and cosine series.
Unit - 4 Laplace Transform
Unit 4
Laplace transform
4.1 Definition Laplace transform of standard functions
4.2 Properties first shifting change of scale multiplication of power t and division by t
4.4 Laplace transform of derivative and integral
4.5 Inverse Laplace transform properties of inverse Laplace transforms linear property first shifting theorem partial fraction
4.6 Inverse transform of logarithmic inverse trigonometric functions and convolution theorem
4.7 Solution of differential equations by Laplace transform
Unit - 5 Statistics
Unit 5
Statistics
5.2 Coefficient of correlation by Karl Pearson‟s method and lines of regression of bivariate data
Unit 5
Statistics
5.2 Coefficient of correlation by Karl Pearson‟s method and lines of regression of bivariate data
Unit 5
Statistics
5.2 Coefficient of correlation by Karl Pearson‟s method and lines of regression of bivariate data
Unit 5
Statistics
Unit 5
Statistics
5.2 Coefficient of correlation by Karl Pearson‟s method and lines of regression of bivariate data
Unit - 6 Probability
Unit 6
Probability
6.1 Random variable discrete and continuous random variable Probability density function
6.2 Binomial Poisson and Normal distributions
Unit 6
Probability
6.1 Random variable discrete and continuous random variable Probability density function
6.2 Binomial Poisson and Normal distributions
Probability
Unit 6
Probability
6.1 Random variable discrete and continuous random variable Probability density function
6.2 Binomial Poisson and Normal distributions
Probability
Unit 6
Probability
6.1 Random variable discrete and continuous random variable Probability density function
Unit 6
Probability
6.1 Random variable discrete and continuous random variable Probability density function
6.2 Binomial Poisson and Normal distributions
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