Mathematical Sciences
Linear Algebra
Linear Equations
Matrices and Determinants
Vector Spaces
Linear Transformations
Diagonalizability & Canonical Forms
Inner Product Spaces
Operators on Inner Product Spaces
Bilinear Forms
Polynomials
Determinants
Elementary Canonical Forms
Rational and Jordan Forms
Real Analysis
Sets and Number System
Point Set Topology
Series and Convergence
Function and its Property
Sequence and Series of Function
Complex Analysis
Preliminaries
Elementary Functions
Analytic Functions
Singularites of Analytic Functions
Limit, Continuity & Differentiability
Sequence and Series in Complex
Complex Integration
Laurent Series & Residue Theorem
Entire and Meromorphic Functions
Important Theorems & Applications
Max. and Min. Modulus Principle and Schwarz Lemma
Argument and Rouche’s Theorem
Calculus of Residues
Conformal Mapping
Bilinear Transformation & Mapping
Applications of Cauchy's Theorem
Harmonic Functions
Riemann Mapping Theorem
Analytic Continuation
Special Functions:The Exponential
Taylor and Laurent Expansion
Stereographic Projection & Point Set Topology
Fundamental Concepts of Complex Analysis
Descriptive Statistics
Introduction Meaning and Scope
Frequency Distributions
Measures of Central Tendency
Measures of Dispersion
Skewness and Kurtosis
Theory of Probability
Random Variables
Mathematical Expectation
Discrete Distributions
Continuous Distributions
Curve Fitting
Correlation and Regression
Theory of Attributes
Sampling and Large Sample Tests
Chi-Square Distribution
t,F and z distributions
Theory of Estimation
Statistical Inference-II
Probability
Special Univariate Distributions
Joint & Conditional Distributions
Inference - Parameter Estimation
Maximum Likelihood Estimation
Hypothesis Testing
Elements of Bayesian Inference
Markov Chains
Miscellaneous
General Aptitude
General Aptitude