MECHATRONICScoretheory
ENGINEERING MATHEMATICS IV
MAT 2231
Syllabus
- 01The z transforms, properties of z transforms, initial and final value theorems, solution of difference equations by the method of z transforms, convolution theorem
- 02Special functions: Series solutions of ordinary differential equations, Series solutions of Bessel's and Legendre's differential equations, Recurrence relations and generating functions
- 03Orthogonal properties, Probability: Finite sample space, conditional probability and independence, Bayes' theorem, one dimensional random variable: mean and variance, Chebyshev's inequality
- 04Binomial, Poisson, uniform, normal, gamma, chi-square and exponential distributions
- 05Two and higher dimensional random variables, Covariance, correlation coefficient, regression lines, least square principles of curve fitting
- 06Moment generating function, Functions of random variables, Sampling theory, Central limit theorem and applications
References
- Kreyzig E-.Advanced Engineering Mathematics, (7e)., Wiley Eastern.
- Meyer P.L. - Introduction to Probability and Statistical applications, (2e). American Publishing Co.
- Ross S.M. - Introduction to Probability and Statistics for Engineers and Scientists, (2e). Wiley International.
- Grewal B.S - Higher Engineering Mathematics, Khanna Publishers.
- Hogg & Craig - Introduction of Mathematical Statistics, (7e).2013. MacMillan
Credits Structure
2Lecture
1Tutorial
0Practical
3Total