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MA6452 Statistics And Numerical Methods Hand Written Lecture Notes - Mr. Krishnamoorthy Edition

Statistics And Numerical Methods Premium Lecture Notes Contains all units by Mr. Krishnamoorthy. Specially for Mechanical Engineering Candidates. Syllabus Covered based on Anna University B.E Mechanical Engineering.

Special Thanks To:
Mr.N. Krishnamoorthy
P.T.Lee Chengalvaraya Naicker Engg College

STATISTICS AND NUMERICAL METHODS

CONTENT:

UNIT-1
TESTING OF HYPOTHESIS

UNIT-2
DESIGN OF EXPERIMENTS

UNIT-3
SOLUTION OF EQUATION AND EIGENVALUE PROMBLEMS

UNIT-4
INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION

UNIT-5
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

UNIT-1
TESTING OF HYPOTHESIS

Population
Sampling
Random sampling
Types of sampling
Symbols for population and samples
Standard error
Tests of significance
Testing a hypothesis
Null hypothesis
Alternative hypothesis
Level of significance
Problems
Square test for independence of attributes

UNIT-2
DESIGN OF EXPERIMENTS

Analysis of experiments
Assumption
Complete block designs
One way classification
Analysis of variance table
Problems

UNIT-3
SOLUTION OF EQUATION AND EIGENVALUE PROMBLEMS

Problem based on newton raphson method
Solution of linear system by Gaussian elimination and gauss Jordon methods
Direct method
Indirect method
Gauss elimination method
Iterative methods
Problems

UNIT-4
INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION

Lagrange’s interpolation
Newton’s divided difference interpolation
Trapezoidal rule
Simpson’s one third rule
Trapezoidal rule

UNIT-5
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

Taylor’s series method
Euler and modified euler method
Fourth order runge – kutta method for solving first order equation
MILNE’s PREDICTOR AND CORRECTOR – method for solving first order equation
Finite difference methods for solving second order equation