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TNPSC AD Industries and Commerce

TNPSC AD Industries and Commerce

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Last Update 07/11/2025
Completion Time 5 days 17 hours 3 minutes
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  • UNIT VII Differential Equations and Operations Research
    • Linear ODE With Constant Coefficients Complementary Function
    • Linear ODE with Constant coefficients - Finding Particular Integral Type I and II
    • Linear ODE with Constant Coefficients Finding Particular Integral Type III and IV
    • Liner Higher Order ODE with Variable Coefficients Introduction Class
    • Method of Variation of Parameters, Linearly Dependent and Linearly Independent
    • Wronskian Properties and Problems with Solutions
    • Second Order ODE with Ordinary and Singular Points
    • Indicial Equations and Introduction of Bessels Equations
    • Bessels Equations of first and second kind
    • Bessels Functions Recurrence Formula and Problems
    • Generating Functions and Orthogonality of Bessel Functions
    • Legendre Differential Equations First and Second Kind
    • Generating Functions and Orthogonality of Bessel Functions
    • Lagrange Method for solving first order PDE Class I
    • Lagrange Method for solving first order PDE Class II
    • Solving Lagrange Equation and Standard types
    • Standard Types f(z,p,q) =0, f(x,p) = f(y,q), Clairaut's Equations & Charpits Methods
    • Characteristic Curves & General Higher Oder Homogeneous Liner PDE with Constant Coefficients
    • General Higher Order Linear Homogeneous PDE Particular Integral
    • Operations Research Class 1 Video
    • Operations Research Class 2 Video
    • Operations Research Class 3 Video
    • Operations Research Class 4 Video
    • Operations Research Class 5 Video
    • Operations Research Class 6 Video
    • Operations Research Class 7 Video
    • Operations Research Class 8 Video
    • Operations Research Class 9 Video
    • Operations Research Class 10 Video
    • Operations Research Class 11
    • Operations Research Class 12
  • UNIT III Sampling Theory, Design of Experiments and Index numbers and Time series
    • Introduction and Construction of Index Numbers
    • Simple and weighted indexnumbers
    • 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
    • Introduction and Construction of Index Numbers
    • UNIT VII Design of Experiment Class 1 Video
    • UNIT VII Design of Experiment Class 2 Video
    • UNIT VII Design of Experiment Class 3 Video
    • UNIT VI SRS , Stratified random sampling Question Paper Discussion
    • AD UNIT 7 Latin Square Design 1
    • AD UNIT 7 Latin Square Design 2
    • UNIT 7 RBD CLASS 3
    • AD UNIT 6 CLASS 1
    • AD UNIT 6 CLASS 2
    • AD UNIT 6 CLASS 3 - Stratified Random Sampling
    • AD UNIT 6 CLASS 4
    • AD UNIT 6 CLASS 5
    • AD UNIT 6 CLASS 6
    • Systematic sampling 1
    • Systematic sampling 2
    • Systematic sampling 3
    • Systematic sampling 4
    • UNIT VI -Cluster sampling Class
    • UNIT VI - Regression Estimation under Double Sampling Class
    • UNIT VI - Ratio Estimation under Double Sampling Class
    • UNIT VI Ratio Estimation Class I
    • UNIT VI Linear Regression Estimation
    • UNIT VI Ratio estimation Class II
    • UNIT VI Ratio estimation Class III
    • UNIT VI AD Sampling Theory CSO Class Video
  • Unit II Estimation Theory, Testing of Hypothesis and Non-Parametric Tests
    • Estimation Theory - Point Estimation and Characteristics of Good Estimator
    • Neyman Fisher Factorization theorem & Cramer–Rao inequality
    • Cramer Rao Theorem and MLE
    • Neyman Factorization Theorem & Sufficient Statistics Problems
    • MLE's and Sufficient Statistics Probels
    • MLE's and Sufficient Statistics Probels
    • Method of Minimum Chi-square, Standard Error and Poiint, Interval Estimation Problems
    • Method of Minimum Chi-square, Standard Error and Poiint, Interval Estimation Problems
    • Method of Moments Estimation
    • Test procedures for large and small samples, Chi Square Distribution
    • Chi Square Distribution - Theory of Attributes
    • Student t Distribution
    • F Distribution
    • Concept Type I and Type II Errors, UMP Neyman person Lemma and Problems for Type I & II Errors
    • Non Parametric Test - Sign Test and One Sample Run Test
    • Rank Sum Test - Mann Whitney test and Kruskal Wallis Test
  • Unit I Probability, Random Variables and Distribution Theory
    • Probability Theory Introduction Class
    • Probability Problems & Solutions
    • Probability - Addition Theorem
    • Total Probability and Bayes Theorem
    • Random Variables Introduction and CDF - Discrete Random Variables
    • Continuous Random Varaibles, Mean and Variance
    • Bivariate random Variables, Marginal and conditional distributions
    • Mathematical Expectation and Conditional Expectation
    • Conditional probability Problems
    • Convergence in Probability & Weak and Strong laws of large numbers
    • MGF, Cumulant Generating Functions and Characteristic Function
    • Characteristic Functions Properties and Problems
    • Lindberg-Levy and Lyapunov’s Theorem
    • Binomial Distribution
    • Poisson and Hypergeometric Distribution
    • Uniform and Normal Distribution
    • Gamma and Exponential Distributions
    • Beta distribution of first and second kind
  • Unit VI Complex Analysis and Functional Analysis
    • Functional Analysis Class 1
    • Functional Analysis Class 2
    • Orthogonal and Orthonormal Problems with Solutions
    • Functional Analysis Class 4
    • Basic Concepts of a Complex Number
    • Functions of a Complex Variable
    • Differentiability of a Complex Function & CR Equations
    • Analytic Functions & Harmonic Functions
    • Construction of Analytic Functions & Harmonic conjugate Functions
    • Laurents Series Expansion & Zeros of Analytic Function
    • Removable, Pole & Essential Singularity
  • Unit V: Algebra and Real Analysis
    • TN SET ALGEBRA CLASS 1
    • TN SET ALGEBRA CLASS 2
    • TN SET ALGEBRA CLASS 3
    • TN SET ALGEBRA CLASS 4
    • TN SET ALGEBRA CLASS 5
    • TN SET ALGEBRA CLASS 6
    • ALGEBRA SYLOWS THEOREM Class 7
    • TN SET ALGEBRA CLASS 8
    • TN SET PYQP ALGEBRA CLASS 9
    • ALGEBRA RING CLASS 1
    • ALGEBRA RING CLASS 2
    • ALGEBRA RING CLASS 3
    • TN SET AND PG TRB ALGEBRA RING CLASS 4
      New
    • TN SET AND PG TRB ALGEBRA RING CLASS 5
      New
    • TN SET AND PG TRB ALGEBRA RING CLASS 6
      New
    • TN SET AND PG TRB ALGEBRA RING CLASS 7
      New
    • TN SET AND PG TRB ALGEBRA RING CLASS 8
      New
    • TNSET & PG FIELD THEORY CLASS 2
      New
    • TNSET & PG FIELD THEORY CLASS 3
      New
    • TNSET & PG FIELD THEORY CLASS 4
      New