18MATDIP41-1.pdf

This is a model question paper for the Fourth Semester B.E. (CBCS) Examination in Mathematics, with a total of 100 marks and a time limit of 3 hours. The paper consists of five modules, and students are required to answer any five full questions, choosing at least one question from each module.

Module 1 covers topics in linear algebra, including finding the rank of a matrix, solving systems of linear equations using Gauss elimination, and finding eigenvalues and eigenvectors.

Module 2 covers topics in numerical methods, including finding roots of equations using Regula-Falsi and Newton-Raphson methods, interpolation, and numerical integration using Weddle's and Simpson's rules.

Module 3 covers topics in differential equations, including solving homogeneous and non-homogeneous linear differential equations with constant coefficients.

Module 4 covers topics in partial differential equations, including forming partial differential equations by eliminating arbitrary constants and functions, and solving partial differential equations.

Module 5 covers topics in probability, including axiomatic definition, probability of events, Bayes' theorem, and applications of probability.

Each question has a specific mark allocation, ranging from 6 to 7 marks.