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The Department of Aeronautical and Automobilecoretheory

ENGINEERING MATHEMATICS IV

MAT 2221

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, Wiley Eastern(1999)
  • Meyer P.L. - Introduction to probability and Statistical applications, American Publishing Co.(1965)
  • Hogg & Craig - Introduction of Mathematical Statistics, MacMillan(1975)
  • B. S. Grewal- Higher Engg. Mathematics, Khanna Publishers(1989)
Credits Structure
2Lecture
1Tutorial
0Practical
3Total