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Mathematical Sciences
Linear Algebra
Matrices and Determinants
Vector Spaces
Linear Transformations
Diagonalizability & Canonical Forms
Rational and Jordan Forms
Real Analysis
Series and Convergence
Complex Analysis
Analytic Functions
Limit, Continuity & Differentiability
Sequence and Series in Complex
Complex Integration
Fundamental Concepts of Complex Analysis
Algebra
Group Theory
Ring Theory
Ordinary Differential Equation
Solution of Linear Differential Equations with Constant and Variable Coefficients
Boundary Value Problems
Partial Differential Equation
Origin of PDE
Non-linear PDE of Order One
PDE into Cononial/Normal Form
Numerical Analysis
Soln. of Algebraic & Trans Eqn
Initial Value Problems for ODE
Numerical Integration
Calculus of Variations
Euler-Lagrange Equation
Miscellaneous
Linear Integral Equations
Fredholm and Volterra Type
Characteristic Numbers
Fredholm Integral Equation
Descriptive Statistics
Measures of Dispersion
Theory of Probability
Random Variables
Mathematical Expectation
Discrete Distributions
Continuous Distributions
Correlation and Regression
Sampling and Large Sample Tests
Theory of Estimation
Statistical Inference-II
