WBUT CSE 4th Sem Mathematics (M 401) previous years question papers

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Contact Details:
West Bengal University Of Technology
Sector 1,
Salt Lake City,
BF 142, BF Block,
Kolkata,
West Bengal 700064 ‎
033 2321 0731
India

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West Bengal University of Technology CSE 4th Sem Mathematics question paper have following topics:

Module I
Theory of Probability: Axiomatic definition of probability. Conditional probability. Independent events and related
problems. Bayes theorem (Statement only) & its application. One dimensional random variable. Probability
distributions-discrete and continuous. Expectation. Binomial, Poisson, Uniform, Exponential, Normal distributions and
related problems. t, χ
2 and F-distribution (Definition only). Transformation of random variables. Central Limit
Theorem, Law of large numbers (statement only) and their applications. Tchebychev inequalities (statement only) and
its application. (14L)

Module II
Sampling theory: Random sampling. Parameter, Statistic and its Sampling distribution. Standard error of statistic.
Sampling distribution of sample mean and variance in random sampling from a normal distribution (statement only) and
related problems.

Estimation of parameters: Unbiased and consistent estimators. Point estimation. Interval estimation. Maximum
likelihood estimation of parameters (Binomial, Poisson and Normal). Confidence intervals and related problems. (7L)

Module III
Testing of Hypothesis: Simple and Composite hypothesis. Critical region. Level of significance. Type I and Type II
errors. One sample and two sample tests for means and proportions. χ
2 - test for goodness of fit. (5L)
Module IV
Advanced Graph Theory: Planar and Dual Graphs. Kuratowski’s graphs. Homeomorphic graphs. Eulers formula ( n - e
+ r = 2) for connected planar graph and its generalisation for graphs with connected components. Detection of planarity.
Graph colouring. Chromatic numbers of Cn, Kn , Km,n and other simple graphs. Simple applications of chromatic
numbers. Upper bounds of chromatic numbers (Statements only). Chromatic polynomial. Statement of four and five
colour theorems. ( 10L )
Module V
Algebraic Structures: Group, Subgroup, Cyclic group, Permutation group, Symmetric group ( S3), Coset, Normal
subgroup, Quotient group, Homomorphism & Isomorphism
( Elementary properties only).
Definition of Ring, Field, Integral Domain and simple related problems.

Question paper:

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