Regulation: R23 Branch: Civil Engineering Semester: 2-1 Code: 23FE08

Numerical Techniques and Statistical Methods

Verified vs. official syllabus Checked 2026-07-01

Both the subject list and detailed unit topics are sourced from an autonomous JNTUK-affiliated college's published syllabus and have not been independently cross-confirmed against JNTUK's own exam records -- autonomous colleges may adapt content locally.

Unit-wise syllabus

UNIT 01

Iterative Methods

Solutions of algebraic and transcendental equations: bisection, secant, false position and iteration methods; Newton-Raphson method (one variable and simultaneous equations); Interpolation: Newton's forward and backward formulae; Interpolation with unequal intervals; Lagrange's interpolation formula

UNIT 02

Numerical Integration and Solution of ODEs

Trapezoidal rule; Simpson's 1/3 and 3/8 rules; Solution of initial value problems by Taylor's series and Picard's method; Euler's method; Runge-Kutta method (second and fourth order); Milne's predictor-corrector method

UNIT 03

Probability and Distributions

Baye's theorem; discrete and continuous random variables; Distribution functions: probability mass function, probability density function and cumulative distribution functions; Mathematical expectation and variance; Binomial, Poisson, Uniform and Normal distributions

UNIT 04

Sampling Theory

Population and samples; sampling distribution of means and variance; Point and interval estimations; maximum error of estimate; Central limit theorem (without proof); Estimation using t, chi-square and F distributions

UNIT 05

Tests of Hypothesis

Hypothesis; null and alternative hypothesis; Type I and Type II errors; Level of significance; one-tail and two-tail tests; Test of significance for large and small samples: single and difference of means, single and two proportions; Student's t-test, F-test and chi-square test