IEO | Engg. Mathematics | Numerical Methods MCQs | Kerala PSC #ieokeralapsc #studywithclick #ieo

Part I | Engineering Mathematics | Module 5 | Numerical Methods MCQs | Malayalam | Kerala PSC (KPSC) | Industries Extension Officer | Cat. No. 30/2024 Exam Calender: http://www.keralapsc.gov.in/sites/def... Download Syllabus Here: https://www.keralapsc.gov.in/sites/de... KeralaPSC, PSCExams, IndustriesExtensionOfficer, KeralaGovernmentJobs, CompetitiveExams, GovtJobs, EngineeringMathematics, LinearAlgebra, Calculus, ProbabilityAndStatistics, NumericalMethods, EngineeringPhysics, SolidStatePhysics, Acoustics, Ultrasonics, EngineeringChemistry, Nanomaterials, ThermalAnalysis, Chromatography, Spectroscopy, EnvironmentalChemistry, EnergyAndEnvironment, BatteryTechnology, OneTimeRegistration, ApplyOnline, KeralaPSCNotification, ExamPreparation, OnlineApplications INDUSTRIES EXTENSION OFFICER Syllabus | #electrical #ieo #industries #btech #ieo #industries #extension #officer #assistant #assistant_director #industries #exam #examcalendar PART I – ENGINEERING MATHEMATICS – 40 MARKS Module I (8 marks) Linear Algebra: Matrix algebra, systems of linear equations, row echelon form, and rank of a matrix; fundamental theorem for linear systems; eigenvalues and eigenvectors. Module II (12 marks) Calculus: Functions of single variable, limit, continuity, and differentiability; mean value theorems; increasing and decreasing functions; maxima and minima; evaluation of definite and improper integrals; evaluation of area using definite integral; limit and continuity of functions of two variables; partial derivatives; rate of change; local linear approximations; chain rule; total derivative; maxima and minima; double and triple integrals; evaluation of area using double integrals. Module III (4 marks) Ordinary Differential Equations (ODE): First-order (linear and non-linear) equations; second-order linear equations with constant coefficients (homogeneous and non-homogeneous); Euler-Cauchy equations; initial and boundary value problems. Module IV (12 marks) Probability and Statistics: Mean, median, mode, and standard deviation; correlation; Karl Pearson correlation coefficient; linear regression; probability; conditional probability; independent events; Bayes’ theorem; discrete and continuous random variables; expectation, mean, and variance; binomial distribution; Poisson distribution; exponential distribution; uniform distribution; normal distribution; discrete and continuous bivariate distributions; marginal distributions; independent random variables; expectation with multiple random variables; i.i.d. random variables; Central Limit Theorem. Module V (4 marks) Numerical Methods: Numerical solutions of linear and non-linear algebraic equations – Newton-Raphson method and Regula-Falsi method; Interpolation – finite differences, Newton’s forward and backward difference method, Lagrange’s method; Numerical integration – Trapezoidal rule and Simpson’s 1/3rd rule.