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            Unit I Algebra and Differential Calculus
        
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                    Matrix Theory Fundamental Concepts, Symmetric & Skew Symmetric Matrices
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                    Hermitian and Skew Hermitian Matrix
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                    Orthogonal Matrix, Unitary Matrix and Rank of a Matrix
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                    Properties of a Rank of Matrix
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                    Rank of a Matrix Problem Solving Class
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                    Consistency and Inconsistency of solutions linear equations
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                    Eigen Values and Eigen Vectors of a Matrix
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                    Properties of Eigen Values of a Matrix
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                    Properties of Eigen Vectors and Cayley Hamilton Theorem
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                    Matrix Theory TNPSC PYQ's Solved Answers with Explanation 2012 2024
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                    Theory of Equations Introduction Class
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                    Theory of Equations Relation between roots and coefficients
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                    Theory of Equations Relation between roots and coefficients AP & GP
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                    Theory of Equations Relation between roots and coefficients - HP
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                    Complex and Irrational Roots of a Equation
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                    Complex and Irrational Roots Class II
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                    Complex and Irrational Roots Class III & PYQ's
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                    Symmetric functions of a roots Class I
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                    Symmetric functions of a roots Class II
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                    Symmetric functions of a roots Class II
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                    Transformations of Equation Class II
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                    Diminish by the Roots and Removal of Terms
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                    Reciprocal Equations
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                    Newtons Theorem & Theory of Equations PYQ's Explanation
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                    Successive Differentiation
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                    Successive Differentiation and nth Derivative
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                    nth Derivative Problems and Solutions
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                    Leibnitz Theorem and its Applications
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                    Leibnitz Theorem Related Problems and Total Differentiation
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                    Partial Differentiation
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                    Maxima and Minima for functions of two variables
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                    Method of Lagrange's Multipliers for Maxima and Minima
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                    TNPSC - AD, ASI & BHS Exam 2025 - Differential Calculus PYQ's (2012-2024) Discussion Class
 
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            Unit V Probability and Statistical Inference
        
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                    UNIT 5 Addition & Multification Theorem class 1
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                    UNIT 5 Addition & Multification Theorem class 2
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                    UNIT 5 Addition & Multiplication Theorem solved sums class 3
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                    UNIT 5 Bayes Theorem solved -sums class 4
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                    UNIT 5 Random variable Class 5
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                    UNIT 5 Random variable Class 6
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                    UNIT 5 Random variable Two diementional Continus Class 7
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                    UNIT 5 Random variable Two diementional Continus important sums Class 8
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                    UNIT 5 Random variable Two diementional Discrete important sums Class 9
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                    UNIT 5 Expectation Class 10
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                    UNIT 5 Expectation Class 11
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                    UNIT 5 Expectation Class 12
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                    UNIT 5 Theory of estimation Introduction class 1
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                    UNIT 5 Theory of estimation UNBIASEDNESS class 2
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                    UNIT 5 Theory of Estimation class 1
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                    UNIT 5 Theory of estimation MVUE
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                    UNIT 5 Maximam Likelihood Estimate C1
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                    UNIT 5 Maximumum Likelihood Estimate C 2
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                    UNIT 5 Testing of Hypothesis C 1
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                    UNIT 5 Testing of Hypothesis C 2
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                    UNIT 5 : t Distribution Class 1
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                    UNIT 5 t Distribution Class 2
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                    UNIT 5 F Distribution Class 1
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                    unit 5 F & t Distribution
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                    Standard Error CLASS 2 & Chi-square Distribution
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                    UNIT 5 Simple Random sampling class 1
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                    UNIT 5 Simple Random sampling class 2
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                    UNIT 5 Sampling Techniques Simple Random sampling class 2
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                    UNIT 5 Sampling Techniques Simple Random sampling class 3
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                    UNIT 5 Sampling Techniques Stratified Random sampling class 1
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                    UNIT 5 Sampling Techniques Stratified Random sampling class 1
 
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            Unit IX Stabilisation Policies
        
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                    TNPSC - AD, ASI & BHS Exam 2025 - Economics Major- UNIT IX Fiscal Policy, Taxation Class I
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                    Economics Class BUGET
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                    Economics Class BUGET 3
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                    Economics Class 4
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                    UNIT IX STABILISATION POLICIES CLASS I
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                    UNIT IX STABILISATION POLICIES CLASS II
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                    UNIT IX STABILISATION POLICIES CLASS IV
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                    UNIT IX STABILISATION POLICIES CLASS V
 
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            UNIT VII Micro Economics
        
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                    UNIT VII Micro Economics Class I
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                    UNIT VII MICRO ECONOMICS CLASS I
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                    UNIT VII MICRO ECONOMICS CLASS II
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                    UNIT VII MICRO ECONOMIC CLASS III
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                    UNIT VII MICRO ECONOMICS CLASS IV
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                    UNIT VII MICRO ECONOMICS CLASS VI
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                    UNIT VII MICRO ECONOMICS CLASS V
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                    UNIT VII MICRO ECONOMICS CLASS VII
 
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            Unit II Integral Calculus and Differential Equations 
        
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                    Linear ODE With Constant Coefficients Complementary Function
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                    Linear Ordinary Differential Equations High Order - Particular Integral
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                    First order but higher degree
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                    Formation of PDE by Eliminating arbitrary constants and functions
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                    First order PDE & Solving Standard Types of PDE
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                    Lagrange Partial Differential Equation Problems and Solutions
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                    Integral Calculus - Introduction & Basic Problems
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                    Integral calculus - Methods of Integration Class
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                    Integral calculus Methods of Integration Class II
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                    Reduction Formula
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                    Integral Calculus Definite Integral Properties and Simple Problems
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                    Integral Calculus Double Integrals and Simple Problems
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                    Integral Calculus Double Integrals and Simple Problems
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                    Triple Integrals and Area of an Integration
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                    Applications to area, surface and volume of an Integration
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                    UNIT II Integral Calculus - PYQ's (2012-2024) Discussion Class
 
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            Unit IV Descriptive Statistics and Fitting of Simple equations
        
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                    UNIT 5 Correlation
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                    UNIT 5 Regression
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                    Unit 4 Skewness,Kurtosis
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                    Unit 4 Measure of Location CLASS 1
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                    Unit 4 Measure of Dispression
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                    Unit 4 Measure of Location CLASS 2
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                    Uses, Scope and Limitations of Statistics and Types of data Class
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                    Tabulation, Diagrammatic and Graphical representations Class
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                    Uses, Scope and Limitations of Statistics and Types of data
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                    Tabulation, Diagrammatic and Graphical representations
 
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            UNIT VI : Index Number & Time series
        
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                    Introduction and Construction of Index Numbers
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                    Simple and weighted indexnumbers
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                    Errors of Index Numbers
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                    Wholesale Price Index Numbers
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                    Time series and Components of time series
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                    Cyclic Variations and Trend
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                    Method of Least squares
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                    Measurement of Seasonal Variations
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                    Ratio to Moving Average Method and Method of Cyclic Variations
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                    UNIT 6 Index Index Number
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                    MS Excel Class
 
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            Unit III: Vector Calculus and Operations Research
        
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                    Vector Differentiation Gradient, Directional derivative and Unit Normal to the surface
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                    Vector Differentiation Angle between two surfaces, Div and Curl of a vector
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                    Vector Differentiation Vector Identities & Properties
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                    Vector Integration - Line Integral
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                    Surface and Volume Integrals - Greens Theorem & Gauss Divergence Theorem
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                    Stokes Theorem and Vector Integration PYQ's Discussion Class
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                    Basics and Models of OR, Introduction of LPP and Formulation of LPP
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                    Solving LPP for Graphical Method
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                    General LPP Degenerate and NonDegenerate BFS
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                    Simplex Method Introduction
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                    Simplex Method, Big M Method & Two Phase Method
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                    Transportation Problems for NWCR and LCM Methods
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                    VAM Method and Assignment Problem
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                    Network Techniques Introdcution and CPM Method
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                    Network Techniques PERT Methods
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                    Inventory Models
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                    Operations Research PYQs Discussion Class
 
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            UNIT X Indian Economy
        
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                    UNIT X INDIAN ECONOMY CLASS I
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                    UNIT X INDIAN ECONOMY CLASS II
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                    UNIT X INDIAN ECONOMY CLASS IV
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                    UNIT X INDIAN ECONOMY CLASS III
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                    UNIT X INDIAN ECONOMY CLASS IV
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                    UNIT X INDIAN ECONOMY CLASS V
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                    UNIT X INDIAN ECONOMY CLASS VI
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                    UNIT X INDIAN ECONOMY CLASS VII
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                    UNIT X INDIAN ECONOMY CLASS VIII
 
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            UNIT VIII Macro Economics
        
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                    UNIT VIII MACRO ECONOMICS CLASS I
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                    UNIT VIII MACRO ECONOMICS CLASS II
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                    UNIT VIII MACRO ECONOMICS CLASS III
 
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            Assistant Director(AD) of Statistics 2025 Question Paper Live Discussion
        
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                    Assistant Director (AD) of Statistics 2025 Maths Part I Question Paper Discussion
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                    Assistant Director (AD) of Statistics 2025 Maths Part II Question Paper Discussion
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                    Assistant Director (AD) of Statistics 2025 Economics Question Paper Discussion
 
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