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Industrial Engineeringcoretheory

ENGINEERING MATHEMATICS IV

MAT 2229

Syllabus

  • 01Measures of central tendency
  • 02Measures of dispersion
  • 03Mean, median, mode
  • 04Standard deviation
  • 05Correlation coefficient
  • 06Introduction to probability
  • 07Finite sample space
  • 08Conditional probability and independence
  • 09Bayes' theorem
  • 10One dimensional random variable: mean and variance
  • 11Chebyshev's inequality
  • 12Two and higher dimensional random variables
  • 13Covariance
  • 14Correlation coefficient
  • 15Regression
  • 16Least square principle of curve fitting
  • 17Distributions: binomial, Poisson, uniform, normal, gamma, chi-square and exponential
  • 18Moment generating function
  • 19Functions of one dimensional and two-dimensional random variables
  • 20Sampling theory
  • 21Central limit theorem and applications

References

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