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Department of Mechanical & Industrial Engineeringcoretheory

ENGINEERING MATHEMATICS - IV

MAT 2230

Syllabus

  • 01Special Functions: Series solutions of Bessel and Legendre differential equations, Recurrence formulae, generating functions and Orthogonal properties for Jn(x) and Pn(x)
  • 02Probability, finite sample space, conditional probability and independence, Bayes' theorem, one dimensional random variable: mean and variance, Chebyshev's inequality
  • 03Two and higher dimensional random variables, covariance, correlation coefficient, regression, least square principle of curve fitting
  • 04Distributions: binomial, Poisson, uniform, normal, gamma, chi-square and exponential
  • 05Moment generating function, Functions of one dimensional and two-dimensional random variables, Sampling theory, Central limit theorem and applications

References

  • Kreyzig E., Advanced Engineering Mathematics, 7th ed., Wiley Eastern
  • Meyer P. L., Introduction to probability and Statistical applications, 2nd ed., American Publishing Co., 1965
  • Hogg, and Craig, Introduction of Mathematical Statistics, 4th ed., MacMillan, 1975
  • Grewal B. S., Higher Engg. Mathematics, Khanna Publishers, 1989
Credits Structure
2Lecture
1Tutorial
0Practical
3Total