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Last Update 05/31/2025
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  • Unit I Algebra and Differential Calculus
    • Matrix Theory Fundamental Concepts, Symmetric & Skew Symmetric Matrices
    • Hermitian and Skew Hermitian Matrix
    • Orthogonal Matrix, Unitary Matrix and Rank of a Matrix
    • Properties of a Rank of Matrix
    • Rank of a Matrix Problem Solving Class
    • Consistency and Inconsistency of solutions linear equations
    • Eigen Values and Eigen Vectors of a Matrix
    • Properties of Eigen Values of a Matrix
    • Properties of Eigen Vectors and Cayley Hamilton Theorem
    • Matrix Theory TNPSC PYQ's Solved Answers with Explanation 2012 2024
    • Theory of Equations Introduction Class
    • Theory of Equations Relation between roots and coefficients
    • Theory of Equations Relation between roots and coefficients AP & GP
    • Theory of Equations Relation between roots and coefficients - HP
    • Complex and Irrational Roots of a Equation
    • Complex and Irrational Roots Class II
    • Complex and Irrational Roots Class III & PYQ's
    • Symmetric functions of a roots Class I
    • Symmetric functions of a roots Class II
    • Symmetric functions of a roots Class II
    • Transformations of Equation Class II
    • Diminish by the Roots and Removal of Terms
    • Reciprocal Equations
    • Newtons Theorem & Theory of Equations PYQ's Explanation
    • Successive Differentiation
    • Successive Differentiation and nth Derivative
    • nth Derivative Problems and Solutions
    • Leibnitz Theorem and its Applications
    • Leibnitz Theorem Related Problems and Total Differentiation
    • Partial Differentiation
    • Maxima and Minima for functions of two variables
    • Method of Lagrange's Multipliers for Maxima and Minima
  • Unit V Probability and Statistical Inference
    • UNIT 5 Addition & Multification Theorem class 1
    • UNIT 5 Addition & Multification Theorem class 2
    • UNIT 5 Addition & Multiplication Theorem solved sums class 3
    • UNIT 5 Bayes Theorem solved -sums class 4
    • UNIT 5 Random variable Class 5
    • UNIT 5 Random variable Class 6
    • UNIT 5 Random variable Two diementional Continus Class 7
    • UNIT 5 Random variable Two diementional Continus important sums Class 8
    • UNIT 5 Random variable Two diementional Discrete important sums Class 9
    • UNIT 5 Expectation Class 10
    • UNIT 5 Expectation Class 11
    • UNIT 5 Expectation Class 12
    • UNIT 5 Theory of estimation Introduction class 1
    • UNIT 5 Theory of estimation UNBIASEDNESS class 2
    • UNIT 5 Theory of Estimation class 1
    • UNIT 5 Theory of estimation MVUE
    • UNIT 5 Maximam Likelihood Estimate C1
    • UNIT 5 Maximumum Likelihood Estimate C 2
    • UNIT 5 Testing of Hypothesis C 1
    • UNIT 5 Testing of Hypothesis C 2
    • UNIT 5 : t Distribution Class 1
    • UNIT 5 t Distribution Class 2
    • UNIT 5 F Distribution Class 1
    • unit 5 F & t Distribution
    • Standard Error CLASS 2 & Chi-square Distribution
    • UNIT 5 Simple Random sampling class 1
    • UNIT 5 Simple Random sampling class 2
    • UNIT 5 Sampling Techniques Simple Random sampling class 2
    • UNIT 5 Sampling Techniques Simple Random sampling class 3
    • UNIT 5 Sampling Techniques Stratified Random sampling class 1
    • UNIT 5 Sampling Techniques Stratified Random sampling class 1
  • Unit IX Stabilisation Policies
    • TNPSC - AD, ASI & BHS Exam 2025 - Economics Major- UNIT IX Fiscal Policy, Taxation Class I
    • Economics Class BUGET
    • Economics Class BUGET 3
    • Economics Class 4
  • UNIT VII Micro Economics
    • UNIT VII Micro Economics Class I
    • UNIT VII MICRO ECONOMICS CLASS I
    • UNIT VII MICRO ECONOMICS CLASS II
    • UNIT VII MICRO ECONOMIC CLASS III
    • UNIT VII MICRO ECONOMICS CLASS IV
    • UNIT VII MICRO ECONOMICS CLASS VI
      New
  • Unit II Integral Calculus and Differential Equations
    • Linear ODE With Constant Coefficients Complementary Function
    • Linear Ordinary Differential Equations High Order - Particular Integral
    • First order but higher degree
    • Formation of PDE by Eliminating arbitrary constants and functions
    • First order PDE & Solving Standard Types of PDE
    • Lagrange Partial Differential Equation Problems and Solutions
      New
  • UNIT 5
    • UNIT 5 Correlation
    • UNIT 5 Regression
    • Unit 4 Skewness,Kurtosis
  • UNIT VI :Time Index & Time series
    • Introduction and Construction of Index Numbers
    • Simple and weighted indexnumbers
    • Errors of Index Numbers
    • Wholesale Price Index Numbers
    • Time series and Components of time series
    • Cyclic Variations and Trend
    • Method of Least squares
    • Measurement of Seasonal Variations
    • Ratio to Moving Average Method and Method of Cyclic Variations
  • Unit III: Vector Calculus and Operations Research
    • Vector Differentiation Gradient, Directional derivative and Unit Normal to the surface
      New
    • Vector Differentiation Angle between two surfaces, Div and Curl of a vector
      New
    • Vector Differentiation Vector Identities & Properties
      New