Akshay Jenekar

PDF Notes and Video Lectures on solved MCQ :

1. Advanced Calculus

Sequence of real numbers, Infinite series, Function of two variables, Maxima and minima, Jacobian of transformation, Double & triple integrals, Stokes and Gauss theorem

2. Mathematical Analysis

Riemann Integrals, Improper Integrals, Beta & Gamma function, Analytic function, Conformal mapping, Bilinear or Mobius Transformation and Metric space.

3. Linear Algebra

Vector Space, Linear Transformation, Dual Space, Inner Product Space, Modules

4. Modern Algebra

Group and its properties, Cyclic group, Normal Group, Homomorphism of groups, Fundamental theorems of isomorphism, Rings, Ideal, Integral Domain, Field.