Statistics: Uniform or Rectangular, exponential and Waybill continuous probability distributions
Elementary theory and practice of sampling, standard error of means and variances, test of significance, X2 test, student t-test, F-Z-test, and their applications. Analysis of variance (one and two way classification only). Linear and multiple regression and correlation, elements of statistical inference and estimation theory applied to Mechanical Engg. Problems.

Tensor Analysis: Definition of tensor, Transformation of coordinates, contravarient and co-variant vactors, addition and multiplication of tensors, inner product, fundamental tensor, Charistollel symbols, covariant differentiation

List of Recommended Books:

1. Mathematical Statistics, J.N.Kapur & H.C.Saxena, S.Chand & Co., New Delhi

2. Mathematical Statistics, M.Ray & H.S.Sharma, Ram Prasad & Sons, Agra.

3. Mathematical Statistics, John E.Freund, Prentice Hall of India, New Delhi.

4. Advanced Mathematics for Engineers, Chandrika Prasad, Prasad Mudranalaya.

5. Advanced Engg. Maths. - IV, Unique Books, Ajmer