PY CGL SI 2025

Private Course

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Responsible	Admin
Last Update	12/04/2025
Completion Time	1 day 5 hours 47 minutes
Members	17

Course
Reviews

UNIT I Probability, Random Variables & 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 VII Differential Equations and Operations Research
- Differential Equations - Introduction Class
  
  New
- Linear ODE With Constant Coefficients Complementary Function
  
  New
- Linear ODE with Constant coefficients - Finding Particular Integral Type I and II
  
  New
- Linear ODE with Constant Coefficients Finding Particular Integral Type III and IV
  
  New
- Liner Higher Order ODE with Variable Coefficients Introduction Class
  
  New
- Method of Variation of Parameters, Linearly Dependent and Linearly Independent
  
  New
- Wronskian Properties and Problems with Solutions
  
  New
- Second Order ODE with Ordinary and Singular Points
  
  New
- Indicial Equations and Introduction of Bessels Equations
  
  New
- Bessels Equations of first and second kind
  
  New
- Bessels Functions, Recurrence Formula and Problems
  
  New