Log in
Join for free
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
Complex Analysis
Preliminaries
Singularites of Analytic Functions
Limit, Continuity & Differentiability
Sequence and Series in Complex
Laurent Series & Residue Theorem
Important Theorems & Applications
Max. and Min. Modulus Principle and Schwarz Lemma
Harmonic Functions
Riemann Mapping Theorem
Special Functions:The Exponential
Taylor and Laurent Expansion
Stereographic Projection & Point Set Topology
Ordinary Differential Equation
Uniqueness and Existence
System of Differential Equations
Trajectories
Sol. of 1st Order & Higher Degree
Simultaneous Equations
Riccati’s Equation
Power Series
Partial Differential Equation
Origin of PDE
Linear PDE of Order One
Non-linear PDE of Order One
Linear PDE with Constant Coeff.
PDE Reducible to Equations
2nd Order Variable Coeff. PDE
PDE into Cononial/Normal Form
Monge’s Method
Classification of Second Order PDE
Classification & Formation of PDE
Heat, Wave & Laplace Equation
Numerical Analysis
Soln. of Algebraic & Trans Eqn
Interpolation and Approximation
Numerical Differentiation
Initial Value Problems for ODE
Boundary Value Problems-ODE & PDE
Linear System of Algebraic Eqn
Numerical Integration
Calculus of Variations
Variation of a Functional
Euler-Lagrange Equation
Sufficient Conditions for Extrema
Boundary Value Problems in PDE
Miscellaneous
Linear Integral Equations
Fredholm and Volterra Type
Sol. with Separable Kernels
Eigen Functions
Resolvent Kernel
Volterra’s Integral Equation
Fredholm Integral Equation
Integral Equation
Hilbert Schmidt Theory
