BCA PART I semester-wise scheme: 2007-2008 ... - Vikram University
BCA PART I semester-wise scheme: 2007-2008 ... - Vikram University BCA PART I semester-wise scheme: 2007-2008 ... - Vikram University
elimination, normal form of matrix, rank of matrix, nullity of matrix (theirapplications) consistency and solution of linear simultaneous equations.BOOKS:1.A text book of calculus by Dr. H. S. Sharma, Ratan Prakashan .2.A Text Book of Calculus by Dr. H. K. Pathak & D.C. Agrawal (TEXT)3.Vector Calculus & Geometric by Dr. H. K. Pathak & D.C. Agrawal(TEXT)4.Discrete Mathematics by Dr. H. K. Pathak & D.C. Agrawal- (ShikhaSahitya Prakashan)BCA –102: STATISTICAL METHODS – IMax. Marks: 50OBJECTIVE : The objective of this course is to familiarize the studentswith statistics .EXAMINATIONThe question paper will have the usual note saying “Attempt five questionschoosing one from each Unit”, Thus, the paper will clearly specify Units,and have a pattern of two questions per unit, with an option to attempt anyone of these two within each unit.UNIT - IVariables & graphs: Statistics, population & sample, discrete & continuousvariables, graphs, equations, inequalities, logarithms. Frequencydistributions: frequency distribution, histograms, frequency polygons.frequency curve. Cumulative frequency distribution. ogives.UNIT -IIMeasures of central tendency: The arithmetic mean, weighted arithmeticmean, geometric mean, harmonic mean, mean power of numbers, root meansquare, median, mode, quartiles, deciles & percentiles.Measures of dispersion: The range, mean deviation, semi inter quartilerange for quartile deviation, absolute & related dispersion, coefficient ofvariation.4
UNIT -IIIMoments Skewness & kurtosis: Moments of various types, relation betweenmoments, sheppard’s correction to moments, skewness & kurtosis, momentgenerating function.Elementary probability theory: Sample space, events, classical definition ofportability, relative frequency definition, theorems of total & compoundportability, Independent & dependent event, mutually exclusive events,mathematical expectation.UNIT- IVTheoretical distributions: Discrete & continuous probability distribution,Basic concepts & applications of degenerate. Bernoulli, Binomial,geometric, negative binomial. Hyper geometric & poisson distributions,normal distribution.Curve fitting & the method of least squares: Curve fitting, the method ofleast square, the least square lines, the least square parabola, Regression.UNIT - VCorrelation theory: Linear correlation, Measures of correlation, the leastsquare regression lines, expected & unexpected variation, coefficient ofcorrelation, rank correlation, correlation index, multiple & partialcorrelation for three variables.Theory of attributes: Consistency of data, association of attributes,coefficient of association, contingency tables.BOOKS:1. Spiegel, M.R.: Statistics Schaum’s outline series, McGraw HillPublishing Company.2. Kapoor & Saxena: Mathematical statistics- S. Chand & sons.5
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UNIT -IIIMoments Skewness & kurtosis: Moments of various types, relation betweenmoments, sheppard’s correction to moments, skewness & kurtosis, momentgenerating function.Elementary probability theory: Sample space, events, classical definition ofportability, relative frequency definition, theorems of total & compoundportability, Independent & dependent event, mutually exclusive events,mathematical expectation.UNIT- IVTheoretical distributions: Discrete & continuous probability distribution,Basic concepts & applications of degenerate. Bernoulli, Binomial,geometric, negative binomial. Hyper geometric & poisson distributions,normal distribution.Curve fitting & the method of least squares: Curve fitting, the method ofleast square, the least square lines, the least square parabola, Regression.UNIT - VCorrelation theory: Linear correlation, Measures of correlation, the leastsquare regression lines, expected & unexpected variation, coefficient ofcorrelation, rank correlation, correlation index, multiple & partialcorrelation for three variables.Theory of attributes: Consistency of data, association of attributes,coefficient of association, contingency tables.BOOKS:1. Spiegel, M.R.: Statistics Schaum’s outline series, McGraw HillPublishing Company.2. Kapoor & Saxena: Mathematical statistics- S. Chand & sons.5
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