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Part -A

General Knowledge of Rajasthan

History & Culture of Rajasthan

• Historical Rajasthan: – Pre and Proto-historical sites of Rajasthan. important
  historical centers of early Christian era. Prominent rulers of major Rajput dynasties of
  Rajasthan and their achievements & contributions – Guhilas- Sisodiyas, Chauhans, Rathores and Kachchawas.
• Emergence of Modern Rajasthan: Agents of Social Awakening in Rajasthan during 19th and 20th Centuries. Political Awakening: role of newspapers and political institutions.
  Prajamandal movement in various princely states in 20th Century. Integration of Rajasthan.
• Social Life in Rajasthan: Fairs and festivals; Social customs and traditions; Attires and ornaments, Personalities of Rajasthan.
• Art of Rajasthan: Architectural tradition of Rajasthan- temples, forts and palaces from ancient to modern period; various schools of paintings which developed during medieval period; Classical Music and Classical Dance, Folk Music & Instruments; folk
  Dances & Drama.
• Religious Life: Religious communities, Saints and Sects in Rajasthan. Folk deities of Rajasthan.
• Language & Literature: Dialects of Rajasthani Language, Literature of Rajasthani language and Folk literature.

Geography of RajasthanMajor physiographic divisions of Rajasthan. Drainage characteristics. Weather
conditions. Vegetation, forest and Soil, Natural Resources, Minerals, livestock population
of Rajasthan. Wild life and its conservation. Environmental Conservation, Droughts and
Desertification, Major Irrigation Projects. Agricultural Crops and Problems. Population
growth and Tribes of Rajasthan, Handicrafts and Tourism. Development schemes in
Rajasthan. Power resources with non-conventional energy sources.

PART-B

Major Points / Topics

• collection,
• classification,
• Tabulation and diagrammatic presentation of data.
• Measures of Central Tendency: Mean, Mode, Median, Harmonic mean. Geometric mean, properties, applications, merits and demerits. Measures of Dispersion: Range, mean deviation, standard deviation, variance their applications, properties, merits and demerits.
• Moments: Raw moments, central moments, Factorial moments. Skewness and Kurtosis: Various measures of Skewness and Kurtosis, their properties.

Correlation and RegressionKarl Pearson and rank correlation coefficients. Multiple and
partial correlations (for three variables), Linear regression, fitting, regression coefficients,
properties, angle between two lines of regressionProbabilityClassical and Axiomatic approaches of probability, Conditional Probability,
Bayes theorem, Random variables and Mathematical expectation with applications.Probability DistributionsDiscrete distributions: Uniform, Poisson, exponential,
rectangular, geometric, hypergeometric, power series distributions, properties and
applications. Continuous Distributions: Normal, uniform, Beta, Gamma. Exponential,
Weibull, Logistic, Cauchy distributions, properties and applications, central limit theorem.Sampling distributionsChi-square, t and F distribution (central and non-central),
properties and applications.Multivariate AnalysisMultivariate Normal Distribution, Hotelling's T2 and Discriminant
Analysis, Wishart distribution and its properties.Theory of EstimationPoint and Interval estimation, Properties of estimator, Methods of
Estimation- Least Square and Maximum Likelihood estimators and their properties.
Crammer-Rao Inequality, Blackwell theorem, confidence intervals and limits for large
samples.Testing of HypothesisConcept of Hypothesis, Types of error in testing, Critical Region
and level of significance, Neyman Pearsan Lemma and two tailed tests based on small and
large samples, likelihood ratio test.Non-Parametric TestsRun, Sign, Median, and Kolmogorav Smirnov one sample test,
Mann-Whitney-Wilcoxon U-test.Design of Sample Survey: Sampling Unit, Sampling frame, Sampling fraction, Sampling
with and without replacement, Population Parameter and Sample estimator, efficiency,
accuracy and precision, sampling and non sampling errors, Simple random sampling,
Probability proportion to Size with replacement, Sampling with varying probability and
without replacement, stratified random sampling, systematic sampling, cluster sampling,
multistage sampling, ratio and regression methods of estimation.Design of ExperimentsAnalysis of variance for one way and two way classified data,
Principles of Designs, Completely Randomized Designs, Randomized Block Designs, Latin
Square Designs, 2n
– factorial experiments, Split plot and Strip plot Design, BIBD, Complete
and partial confounding.Time Series AnalysisComponents, Measurements of Trend, Seasonal, Cyclical and
irregular variations, periodogram analysis.Index NumberUses, types and limitations of index numbers, construction of index
numbers, simple and weighted aggregated method, Simple and weighted average price
relatives, Chain base index numbers, Base shifting, Splicing and Deflating of Index
numbers, Cost of Living index numbers.Vital StatisticsCollection of vital statistics- Measures of Mortality, Law of mortality,
fitting of Makeham's law, Fertility rates, life tables, Abridged life-table (King's method),
Population growth.Statistical Organization of IndiaCSO, NSSO, National Income Statistics, Population
Census, Agricultural Census, Livestock CensusMicroeconomicsConsumer Behaviour- Cardinal and Ordinal Approach, Concept of
elasticity, Producer equilibrium, Price determination in Perfect competition, Monopoly
Monopolistic Competition, Pareto optimal conditions.MacroeconomicsNational Income and Methods of measuring national income,
Consumption and Investment function, Money supply, High powered Money and Money
Multiple Central and Commercial banks.public financeRole of Government in organized society, Private goods, Public goods, Merit
goods, Market failure, Budgetary deficits, GST- Fiscal Sector reforms.international economicsMeaning and Components of Balance of payments, Trends in
Exports and Imports, Composition of Trade, Recent Foreign Trade policyEconomics of Growth and DevelopmentFactors affecting growth. Poverty, inequality of
income, Human development Index, Sustainable development.Indian EconomyAgriculture reforms, Recent Industrial policy, Govt. schemes of unemployment and poverty alleviation. Impact of liberalization, Global isation and
privatization on Indian economy. Recent Monetary and Fiscal Policy, Nithi Aayog,
Covid 19- Impact on Indian EconomyAlgebraRelation between roots and coefficients, repeated roots, elementary symmetric
functions, Algebra of Matrices, Rank and determinant of Matrices. Eigen values ​​and Eigen
Vector.CalculusLimits, Continuity properties of continuous function in closed intervals,
differentiability, mean value theorem, Taylor's theorem, curvature, asymptotes, Partial
differentiation and its applications. Rectification, quadrature, volume and surface of revolution.Differentiable EquationsLinear and non-linear differential equation of first order, linear differential equation with constant coefficients, homogeneous differential equations. partially
differential equations of first and second orderComplex AnalysisAnalytic function, Cauchy Riemann equations, Cauchy's theorem, Cauchy's integral formulae, Power series, Laurent's Series, Singularities. Beta-Gamma
functions.Special Functions and Integral TransformsHypergeometric functions, Legendre's
Polynomials, Bessel's function, Recurrence relations, orthogonal properties and generating
functions, Laplace transforms and inverse Laplace transformsFundamentals of IT and Computer ApplicationsBasic knowledge of Word Processing Software, formatting, alignment, graphs and charts,
headers and footers, various tabs and options. Basics of Spreadsheet, Manipulation of
cells, Formulas and Functions, Editing of Spread Sheet, Printing of Spread Sheet. Basics of
Presentation Software, templates, wizards, slide show, building a presentation, various
tabs and options. Accounting software basics. Basic knowledge of internet, internet
security, types of cyber threats, digital signatures, secure seals, secure browsing. digital
payments and platforms, online banking, online payment modes, mobile wallets, E-commerce basics. GIS basics, e-governance in Rajasthan.