{"id":1068,"date":"2022-01-23T05:09:05","date_gmt":"2022-01-23T05:09:05","guid":{"rendered":"https:\/\/itgeeks.in\/home\/?p=1068"},"modified":"2022-01-23T05:10:02","modified_gmt":"2022-01-23T05:10:02","slug":"2k6me-501-engineering-mathematics-iv","status":"publish","type":"post","link":"https:\/\/itgeeks.in\/home\/?p=1068","title":{"rendered":"2K6 ALL 501: ENGINEERING MATHEMATICS \u2013IV"},"content":{"rendered":"\n

Module I Probability distributions (13 hours)<\/strong>
Random variables-Probability distributions – binomial distribution \u2013Poisson distribution-normal distribution \u2013Mean, variance and Moment generating function -Poisson process – Chebyshev\u2019s theorem- Geometric Distribution-Uniform Distribution, Gamma distribution, Beta Distribution, Exponential Distribution and Hyper-Geometric Distributions.
Module II Statistical inference (13hours)<\/strong>
Population and Sample-Sampling Distributions of Mean and Variance-Point Estimation-Interval Estimation -Null Hypotheses and Significance tests-Hypotheses concerning one mean- Confidence Intervals of mean and variance – Estimation of Variances-Hypotheses concerning one variance-Hypotheses concerning two variance- Chi square test as test of goodness of fit.
Module III (Series solutions of differential equations (13hours)<\/strong>
Power series method of solving ordinary differential equations – series solution of Bessel’s equation \u2013 Recurrence formula for Jn(x)-expansions for J0 and J1 \u2013 value of J1\/2- generating function for Jn(x)- Orthogonality of Bessel functions – Legendre\u2019s equation \u2013 series solution of Legendre\u2019s differential equation -Rodrigues formula-Legendre Polynomials \u2013 Generating function for Pn(x)- Recurrence formulae for Pn(x) -Orthogonality of Legendre polynomials
Module IV Quadratic forms and Fourier Transforms (13 hours)<\/strong>
Quadratic forms – Matrix associated with a quadratic form – Technique of Diagonalization using row and column transformations on the matrix – Definite, Semidefinite and Indefinite forms – their identification using the Eigen values of the matrix of the quadratic form. Fourier Transform-Properties of Fourier Transforms-Linearity property-Change of scale property-shifting properties \u2013 Modulation property-Transform of the Derivative-simple problems- Fourier Cosine transform-Fourier Sine Transform.
 <\/p>\n\n\n\n

Text book<\/strong>
Johnson RA, Miller & Freund\u2019s Probability and Statistics for Engineers, Prentice Hall of India (For Module I and II only)
Reference Books<\/strong>
1.\u00a0Wylie C R & Barrett L. C., Advanced Engineering Mathematics, Mc Graw Hill<\/a>
2.\u00a0Kreyszig E., Advanced Engineering Mathematics, John Wiley.<\/a>
3. Bali N. P. & Manish Goyal, A Text book of Engineering Mathematics, Laxmi Publications
4. Grewal B. S, Higher Engineering Mathematics, Khanna Publishers\u00a0<\/a><\/p>\n\n\n\n

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S5 Question Paper<\/a><\/div>\n\n\n\n
Notes<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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