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Mathematical Sciences
Linear Algebra
Matrices and Determinants
Inner Product Spaces
Elementary Canonical Forms
Rational and Jordan Forms
Complex Analysis
Elementary Functions
Analytic Functions
Sequence and Series in Complex
Complex Integration
Laurent Series & Residue Theorem
Bilinear Transformation & Mapping
Applications of Cauchy's Theorem
Harmonic Functions
Riemann Mapping Theorem
Ordinary Differential Equation
Solution of Linear Differential Equations with Constant and Variable Coefficients
Equations of First Order & Degree
Method of Variation of Parameters
Equations of Special Forms
Picard’s Method & Existence
Simultaneous Equations
Partial Differential Equations
Power Series
Integration in Series
Partial Differential Equation
Origin of PDE
Linear PDE of Order One
Non-linear PDE of Order One
Calculus of Variations
Variation of a Functional
Euler-Lagrange Equation
Sufficient Conditions for Extrema
Boundary Value Problems in PDE
Linear Integral Equations
Fredholm and Volterra Type
Sol. with Separable Kernels
Characteristic Numbers
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
Analysis
Series & Convergence
Theorem's in Analysis
Notions of Continuity
Integration Theory
Multivariable Calculus
Metric Spaces & Functions
