Syllabus - Introductory Topics in Statistics, Probability and Calculus (CB102)

Computer Science and Business System

Introductory Topics in Statistics, Probability and Calculus (CB102)

I

I

Introduction to Statistics

Definition of Statistics. Basic objectives. Applications in various branches of science with examples. Collection of Data: Internal and external data, Primary and secondary Data. Population and sample, Representative sample.

II

Descriptive Statistics

Classification and tabulation of univariate data, graphical representation, Frequency curves. Descriptive measures - central tendency and dispersion. Bivariate data. Summarization, marginal and conditional frequency distribution.

III

Probability

Concept of experiments, sample space, event. Definition of Combinatorial Probability. Conditional Probability, Bayes Theorem.

IV

Probability distributions

discrete & continuous distributions, Binomial, Poisson and Geometric distributions, Uniform, Exponential, Normal, Chi-square, t, F distributions. Expected values and moments: mathematical expectation and its properties, Moments (including variance) and their properties, interpretation, Moment generating function.

V

Calculus

Basic concepts of Differential and integral calculus, application of double and triple integral.

Practicals

Reference Books

  • Introduction of Probability Models, S.M. Ross, Academic Press, N.Y.

  • Fundamentals of Statistics, vol. I & II, A. Goon, M. Gupta and B. Dasgupta, World Press.

  • Higher Engineering Mathematics, B. S. Grewal, Khanna Publication, Delhi.

  • A first course in Probability, S.M. Ross,Prentice Hall.

  • Probability and Statistics for Engineers,(Fourth Edition), I.R. Miller, J.E. Freund and R. Johnson, PHI.

  • Introduction to the Theory of Statistics, A.M. Mood, F.A. Graybilland D.C. Boes,McGraw Hill Education.

  • Advanced Engineering Mathematics, (Seventh Edition), Peter V. O'Neil, Thomson Learning.

  • Advanced Engineering Mathematics, (Second Edition) M. D. Greenberg, Pearson Education.

  • Applied Mathematics, Vol. I & II, P. N. Wartikar andJ. N. Wartikar,VidyarthiPrakashan.