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Biju Patnaik University of Technology, Odisha
Civil Engineering
Mathematics - III
Biju Patnaik University of Technology, Odisha, Civil Engineering Semester 3, Mathematics - III Syllabus
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Unit - 1 Solution Of Non-Linear Equation In One Variable
Unit 1
Solution of nonlinear linear equations and interpolation
1.1 Solution of nonlinear equations in one variable Bisection method
1.2 NewtonRapson method
1.3 Fixed point iteration method
1.4 Numerical solution of system of linear equations Guassseidel method
1.5 Successive over relaxation and Doolittle method Crouts and Choleskys method
1.6 Interpolation Newton’s forward and backward interpolation
1.7 Newton’s divided difference interpolation
1.8 Lagrange’s interpolation
Unit - 2 Numerical Differentiation
Unit 2
Numerical differentiation integration and solution of differential equations
2.1 Numerical differentiation
2.2 The trapezoidal rule
2.3 The Simpson’s rule
2.4 Gauss integration formulas
2.5 Solution of ODE Euler’s method
2.6 Improvement of Euler’s method
2.7 Rungekutta method multi step method
2.8 Method for system and higher order ordinary differential equations
Unit - 3 Sample Space
Unit 3
Sample space and Probability
3.1 Sample space and probability
3.2 Conditional probability and independent event
3.3 Baye’s theorem
3.4 Random variables and probability distributions
3.5 Expectations mean and variance
3.6 Moments
Unit - 4 Bernoulli Trails
Unit 4
Bernoulli trials
4.1 Bernoulli trials
4.2 Binomial distribution
4.3 Poisson distribution
4.4 Hypergeometric uniform and exponential distributions
4.5 Normal distribution
4.6 Bivariate distributions
Unit - 5 Correlation And Regression Analysis
Unit 5
Correlation and regression analysis
5.1 Correlation and regression analysis
5.2 Rank correlation
5.3 Maximum likelihood estimates MLE and method of moments
5.4 Confidence intervals mean and variance of a normal distribution
5.5 pvalue
5.6 Testing of hypothesis test for goodness of fit
5.7 Test for single mean and variance of a normal distribution
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Other Subjects of Semester-1
Mechanics of solid
Engineering economics
Fluid mechanics and hydraulic machines
Object oriented programming using java
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