MATHEMATICAL METHODS III ? Probability and Statistics | Department of Mathematics

MATHEMATICAL METHODS III ? Probability and Statistics

Core course for B.Tech. except Computer Science. Not available as UWE.

Credits (Lec:Tut:Lab)= 3:0:0 (3 lectures weekly)

Prerequisites: MAT 103 (Mathematical Methods I)

Overview:  Probability is the means by which we model the inherent randomness of natural phenomena. This course introduces you to a range of techniques for understanding randomness and variability, and for understanding relationships between quantities. The concluding portions on Statistics take up the problem of testing our theoretical models against actual data, as well as applying the models to data in order to make decisions.

Detailed Syllabus:

  1. Probability: sample space and events, classical and axiomatic probability, permutations and combinations, conditional probability, independence, Bayes’ formula 
  2. Random Variables: discrete and continuous probability distributions, mean and variance, binomial and Poisson, normal, joint distributions, covariance, correlation and regression (linear) 
  3. Mathematical Statistics: exploring data, random samples, point estimation, Central limit theorem, Maximum likelihood, chi-square, t and F-distributions, confidence intervals, hypothesis testing

References:

  1. Advanced Engineering Mathematics by Erwin Kreyszig, Wiley.
  2. Introduction to Probability and Statistics for Engineers and Scientists by Sheldon Ross, 2nd edition, Harcourt Academic Press.
  3. Theory and Problems of Beginning Statistics by L. J. Stephens, Schaum’s Outline Series, McGraw-Hill
  4. John E. Freund’s Mathematical Statistics with Applications by I. Miller & M. Miller, 7th edition, Pearson, 2011.

Past Instructors: Charu Sharma, Niteesh Sahni, Suma Ghosh

Course Code: 
MAT205
Course Credits: 
3.00
Department: 
Course Level: