MCA FIRST YEAR ( SEMESTER -2 )
##
2CSA-5 Statistics & NUMERICAL
MATHEMATICS
Unit – 1 introduction – definition
of statistics, importance and scope of statistics, Limitations of statistics,
Distrust of statistics.
Statistical data collection –
primary and secondary data, Methods of collecting primary data, sources and
secondary data census and sample investigation.
Presentation of statistical data –
classification, tabulation, frequency distribution, diagrams and graphs.
Frequency distributions and Measure
of Central Tendency – Frequency distribution, continuous Frequency
distribution, Graphic Representation of a Frequency Distribution average or
measures of central tendency or measures of Locations, Requisites for an ideal
measure of central tendency – Arithmetic: Mean, Median, mode, geometric Mean
and harmonic mean, eighted average, relationship amongst different averages.
UNIT – 2 Measures of dispersion,
skewness and kurtosis – Meaning and significance of dispersion, Methods of
measuring Dispersion – Range, quartile, mean deviation, standard deviation,
coefficient of skewness, kurtosis, coefficient of dispersion, coefficient of
variation.
Correlation and regression –
definition of correlation, scatter diagram, karl pearson Coefficient of
correlation, limits for correlation coefficient, definition of Regression,
lines of Regression, Regression Curves, Regression Coefficients, properties of
Regression coefficients, correlation analysis vs. Regression analysis.
UNIT – 3 Probability –
Introduction, Definitions of various Terms, Mathematical or classical Probability,
statistical or Empirical Probability Statistical or Empirical Probability,
Mathematical Tools, sets and Elements of sets, operations on sets, axiomatic
Approach to Probability, Probability function, Mathematical law of Addition of
Probabilities and Conditional Probabilities, Independent event, bayes Theorem
Geometric probability.
UNIT - 4 Random variables and
Distribution functions – definition of random variable, distribution function,
properties of Distribution function, Discrete Random variable, Probability
density function, continuous random variable, continuous density function,
continuous distribution function.
Mathematical Expectation and
Generation function – Definition of mathematical expectation, addition &
multiplication Theorem of expectation, co-variance, Expectation & variance
of a Linear combination of random variables, moment generation function, some
limits of moment Generating function, theorem of moment generating function,
cumulants.
UNIT – 5 Theoretical discrete
distributions – Introduction, Bernoulli distribution, Binomial Distribution,
Poisson Distribution, Geometric Distribution.
Theoretical Continuous
Distributions – Introductions normal distribution, game distribution, cauchy’s
Distribution and central limit theorem.
MCA First Year Semester 2 Syllabus Nagpur University
1. Data Structures
2. Database Management Systems
3. Discrete Mathematics and Graph Theory
4. Java Programming
5. Statistics and Numerical Mathematics
BCA
Bachelor Of Computer Application, BCCA,
Bachelor of Commerce & Computer Application BE
IT/CS, Information technology/Computer Science MCA,
Master of Computer Application MCM,
Master of Computer Management Diploma
, Polytechnic Others,
## Basic Programming C / C++ ,
## TestingSoftware
Testing,
## Hardware & Networking CCNA, MCSE, Hardware,
Networking |