The Tamil Nadu Public Service Commission (TNPSC) conducts examinations for the Combined Statistical Subordinate Services (CSSS), which assesses candidates in various subjects, including Statistics, Mathematics, and Economics at the degree standard. This detailed CSSS syllabus provides a comprehensive framework for the examination, covering a wide range of topics. Here’s a breakdown of the units:
1 : Algebra and Differential Calculus (20 Questions)
- Theory of Equations:
- Relations between roots and coefficients.
- Complex roots, irrational roots, related roots.
- Transformations of equations and reciprocal equations.
- Matrix Theory:
- Types of matrices: Symmetric, Skew-Symmetric, Hermitian, Skew-Hermitian, Orthogonal, and Unitary.
- Rank of a matrix, consistency, and solutions of linear equations.
- Cayley-Hamilton Theorem, Eigenvalues, and Eigenvectors.
- Differential Calculus:
- nth derivative, Leibnitz’s theorem and its applications.
- Partial differentiation.
- Maxima and minima of functions of two independent variables.
2 : Integral Calculus and Differential Equations (20 Questions)
- Integral Calculus:
- Methods of integration and properties of definite integrals.
- Reduction formulae, double integrals, and triple integrals.
- Applications to areas, surfaces, and volumes.
- Differential Equations:
- First-order but higher-degree equations (solvable for p, x, y).
- Second-order differential equations with constant coefficients.
- Particular integrals for different functions (e.g., exex, xmxm, cos(mx)cos(mx)).
- Partial differential equations: Formation, complete integral, singular integral, general integral, and standard types.
3 : Vector Calculus and Operations Research (25 Questions)
- Vector Differentiation:
- Gradient, divergence, curl, directional derivatives.
- Unit normal to a surface.
- Vector Integration:
- Line, surface, and volume integrals.
- Applications of Gauss, Stokes, and Green’s Theorems.
- Operations Research:
- Linear programming: Formulation, graphical solution, simplex method, Big-M method.
- Transportation and Assignment problems.
- Project management tools: PERT, CPM, Critical path analysis.
- Inventory models: EOQ models with various demand and production rates.
4 : Descriptive Statistics and Fitting of Simple Equations (20 Questions)
- Descriptive Statistics:
- Collection, classification, and tabulation of data.
- Measures of location, dispersion, skewness, and kurtosis.
- Bivariate data analysis, scatter diagrams, correlation, partial correlation, and regression.
- Fitting of Equations:
- Fitting linear and quadratic equations using the method of least squares.
5 : Probability and Statistical Inference (25 Questions)
- Probability:
- Addition, multiplication, and Bayes’ Theorems with simple applications.
- Random variables and expectations.
- Probability distributions: Binomial, Poisson, Geometric, Exponential, and Normal distributions.
- Sampling and Estimation:
- Simple random sampling, stratified and cluster sampling.
- Point estimation by the Maximum Likelihood Estimation (MLE) method.
- Statistical Inference:
- Hypothesis testing (z, t, Chi-square, and F-tests for large and small samples).
6 : Time Series, Index Numbers, and Statistical Computing using MS-Excel (20 Questions)
- Time Series:
- Components of time series data, determination of trends using moving averages and linear trend by least squares estimation.
- Index Numbers:
- Construction of simple and weighted cost-of-living index numbers.
- Statistical Computing with MS-Excel:
- Introduction to MS-Excel, data linking in rows, columns, and sheets.
- Functions for logical, mathematical, and statistical operations.
- Creating regular charts and plotting density and distribution functions.
7 : Microeconomics (15 Questions)
- Fundamentals of Microeconomics:
- Definition, scope, and importance of microeconomics.
- Law of demand, elasticity of demand, utility analysis, and consumer surplus.
- Production and Cost:
- Production function, factors of production, economies of scale.
- Cost and revenue curves in the short-run and long-run.
- Welfare criteria as outlined by Adam Smith, Bentham, Marshall, Pigou, and Kaldor.
8 : Macroeconomics (15 Questions)
- Macroeconomics Basics:
- Definition, scope, and nature of macroeconomics.
- Circular flow of income in an open economy, national income accounting.
- Economic Theories:
- Concepts such as GNP, GDP, NNP, personal income, and per capita income.
- Keynesian consumption function, investment function, multiplier, and accelerator.
- Inflation and Trade Cycle:
- Inflation and deflation, CPI, WPI, and phases of the trade cycle.
9 : Stabilization Policies (20 Questions)
- Monetary Policy:
- Barter system, money demand and supply, functions of money, central and commercial banks.
- Monetary policy instruments, including SLR, CRR, OMO, and LAF.
- Fiscal Policy:
- Taxation, canons of taxation, public expenditure, and public debt.
- Budget deficit and deficit financing, FRBM, and fiscal federalism.
10 : Indian Economy (20 Questions)
- Agriculture:
- Role of agriculture in national income and employment.
- Agriculture price policies, modern technology in agriculture, and agricultural finance and marketing.
- Industry:
- Contribution of industrial sectors to national income and employment.
- MSMEs and large-scale industries, industrial policy resolutions, and industrial finance.
- Service Sector:
- Contribution of services such as transport, communication, and IT to national income and employment.
- Economic Planning:
- Five-year plans, NITI Aayog, government welfare programs, and employment generation initiatives.
- Population:
- Demographic transition, demographic statistics, and poverty alleviation programs.
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- Subject-Specific Books: Tailored for TNPSC Combined Statistical at Degree and Postgraduate levels, providing in-depth knowledge for the exam.
- General Studies and Tamil: Comprehensive materials for Paper-II preparation, ensuring holistic coverage of all subjects necessary for the examination.
3. 1000+ Model Questions
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- Topic-Wise Questions: Focused practice on individual topics helps reinforce understanding and tackle tricky areas.
- Full-Length Mock Tests: Simulated exams designed to build confidence and improve time management skills.
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