Syllabus Engineering Mathematics III - (207003) Credit Scheme Examination Scheme and Marks Theory: 03 Tutorial: 01 End_Semester(TH) : 70 Marks Term Work : 25 Marks Unit III Statistics Measures of central tendency, Measures of dispersion, Coefficient of variation, Moments, Skewness and Kurtosis, Curve fitting: fitting of straight line, parabola and related curves, Correlation and Regression, Reliability of Regression Estimates. (Chapter - 5) Unit IV Probability and Probability Distributions Probability, Theorems on Probability, Bayes theorem, Random variables, Mathematical Expectation, Probability density function, Probability distributions: Binomial, Poisson, Normal and Hypergeometric, Sampling distributions, Test of Hypothesis: Chi-Square test, t-test. (Chapter - 6) Unit V Numerical Methods Numerical Solution of Algebraic and Transcendental equations: Bisection, Secant, Regula-Falsi, Newton–Raphson and Successive Approximation Methods, Convergence and Stability. Numerical Solutions of System of linear equations: Gauss elimination, LU Decomposition, Cholesky, Jacobi and Gauss-Seidel Methods. (Chapter - 7) Unit VI Numerical Methods Interpolation: Finite Differences, Newton’s and Lagrange’s Interpolation formulae, Numerical Differentiation. Numerical Integration: Trapezoidal and Simpson’s rules, Bound of truncation error. Solution of Ordinary differential equations: Euler’s, Modified Euler’s, Runge-Kutta 4th order methods and Predictor-Corrector methods. (Chapters - 8, 9)
