What You Get in the Course
A complete, end-to-end learning ecosystem designed for top rankers.
Live & Recorded Classes
Step-by-step concept building with lifetime revision recording access.
Comprehensive Study Notes
Curated chapter PDFs, formula sheets, and high-yield problem sets.
24/7 Dedicated Doubt Forum
Get answers to your mathematics doubts quickly from mentors and peers.
Personal Mentorship
Regular strategy sessions and performance check-ins with Hiranmoy Mandal.
Unit 1: Analysis & Linear Algebra
Exam Weightage: 65-75 Marks
- Real Analysis: Sequences, Series, Metric Spaces, Continuity, Uniform Continuity, Riemann Integration, Function of Several Variables
- Linear Algebra: Vector Spaces, Subspaces, Basis, Dimension, Linear Transformations, Matrix Representation, Eigenvalues & Eigenvectors, Cayley-Hamilton, Jordan Canonical Form, Quadratic Forms
Unit 2: Complex Analysis & Modern Algebra
Exam Weightage: 55-65 Marks
- Complex Analysis: Analytic Functions, Cauchy-Riemann Equations, Cauchy's Theorem, Residue Theorem, Conformal Mapping, Maximum Modulus Principle
- Abstract Algebra: Groups, Subgroups, Normal Subgroups, Sylow Theorems, Rings, Ideals, Fields, Galois Theory
Unit 3: Applied Mathematics
Exam Weightage: 50-60 Marks
- Ordinary Differential Equations (ODE)
- Partial Differential Equations (PDE)
- Calculus of Variations (COV)
- Linear Integral Equations (IE)
- Classical Mechanics & Numerical Analysis