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Master the Beauty of Mathematics

Transform your mathematical journey with expert guidance, rigorous training, and proven strategies to excel in IIT-JAM Mathematics 2025

2100+

Problems Solved

97.5%

Success Rate

150+

AIR Under 100

Where Logic Meets Creativity

Unlock infinite possibilities with mathematics

Introducing the Quantum Computing Algorithms

Why Choose Our Mathematics Program

AI-Powered Doubt Resolution

Get instant solutions with step-by-step explanations using our AI mathematics assistant

Available 24/7
Computational Mathematics Lab

Learn programming tools like MATLAB, Python, Mathematica for solving complex problems

50+ practical sessions
Live Interactive Classes

Real-time problem-solving sessions with instant feedback and peer discussions

5 classes per week
Adaptive Learning System

Personalized study plan that adapts based on your performance and weak areas

Custom to each student

Comprehensive Syllabus Coverage

Every topic, every concept, every problem type

Real Analysis

4 Major Units • 450 Practice Problems
Weightage: 20-22%
Sequences and Series
  • Convergence tests
  • Cauchy sequences
  • Monotone sequences
  • Bolzano-Weierstrass theorem
Continuity & Differentiability
  • Limits
  • Uniform continuity
  • Mean value theorems
  • Taylor's theorem
Riemann Integration
  • Integrability
  • Fundamental theorem
  • Improper integrals
  • Applications
Functions of Several Variables
  • Partial derivatives
  • Maxima-minima
  • Lagrange multipliers
  • Jacobians

Linear Algebra

4 Major Units • 520 Practice Problems
Weightage: 22-25%
Vector Spaces
  • Basis and dimension
  • Linear independence
  • Span
  • Subspaces
Matrices & Determinants
  • Rank
  • Inverse
  • Eigenvalues
  • Diagonalization
Linear Transformations
  • Kernel and image
  • Matrix representation
  • Change of basis
  • Isomorphisms
Inner Product Spaces
  • Orthogonality
  • Gram-Schmidt
  • Orthogonal projections
  • Least squares

Abstract Algebra

3 Major Units • 380 Practice Problems
Weightage: 18-20%
Group Theory
  • Groups and subgroups
  • Normal subgroups
  • Quotient groups
  • Homomorphisms
Ring Theory
  • Rings and ideals
  • Integral domains
  • Fields
  • Polynomial rings
Advanced Topics
  • Sylow theorems
  • Group actions
  • Finite fields
  • Galois theory basics

Complex Analysis

3 Major Units • 340 Practice Problems
Weightage: 15-18%
Analytic Functions
  • Cauchy-Riemann equations
  • Harmonic functions
  • Conformal mappings
  • Mobius transformations
Complex Integration
  • Cauchy's theorem
  • Cauchy's integral formula
  • Liouville's theorem
  • Maximum modulus
Series & Residues
  • Power series
  • Laurent series
  • Residue theorem
  • Applications to real integrals

Differential Equations

3 Major Units • 420 Practice Problems
Weightage: 20-22%
Ordinary Differential Equations
  • First order ODEs
  • Linear ODEs
  • Series solutions
  • Boundary value problems
Partial Differential Equations
  • Method of characteristics
  • Separation of variables
  • Wave equation
  • Heat equation
Advanced Techniques
  • Laplace transforms
  • Fourier series
  • Sturm-Liouville theory
  • Green's functions

Top IITs for Mathematics

Premium institutes accepting IIT-JAM scores

IIT Bombay

Mumbai

35 Seats
Programs Offered:
M.Sc. MathematicsM.Sc.-Ph.D. Dual Degree
Specializations:
Pure Mathematics
Applied Mathematics
Computational Mathematics
Key Facilities:
Research labs
International collaborations
Placement assistance
2023 Cutoff RangeAIR 50-80

IIT Delhi

New Delhi

40 Seats
Programs Offered:
M.Sc. MathematicsM.Tech. Mathematics & Computing
Specializations:
Discrete Mathematics
Optimization
Cryptography
Key Facilities:
Advanced computing facilities
Industry tie-ups
Global exchange
2023 Cutoff RangeAIR 60-100

IIT Kanpur

Kanpur

32 Seats
Programs Offered:
M.Sc. MathematicsM.Sc.-Ph.D. Dual Degree
Specializations:
Differential Equations
Numerical Analysis
Statistics
Key Facilities:
Research centers
Interdisciplinary programs
Innovation labs
2023 Cutoff RangeAIR 70-110

IIT Madras

Chennai

38 Seats
Programs Offered:
M.Sc. MathematicsIntegrated Ph.D.
Specializations:
Stochastic Processes
Mathematical Modeling
Data Science
Key Facilities:
AI/ML integration
Data science labs
Industry projects
2023 Cutoff RangeAIR 80-120

Previous Year Paper Analysis

Detailed breakdown of exam patterns and trends

60

Total Questions

100

Total Marks

24.67

General Cutoff

High

Difficulty
Topic-wise Distribution:
Linear Algebra14 Q24 Marks
Real Analysis13 Q22 Marks
Abstract Algebra11 Q18 Marks
Complex Analysis10 Q16 Marks
Differential Equations12 Q20 Marks
Challenging Topics in 2023:
Group HomomorphismsUniform ContinuityResidue Calculus

Recommended Study Material

Curated book list for comprehensive preparation

Real Analysis
Principles of Mathematical Analysis
Advanced

Walter Rudin

₹850
Real Analysis
Intermediate

Royden & Fitzpatrick

₹750
Introduction to Real Analysis
Beginner

Bartle & Sherbert

₹650
Linear Algebra
Linear Algebra Done Right
Advanced

Sheldon Axler

₹800
Linear Algebra
Advanced

Hoffman & Kunze

₹900
Elementary Linear Algebra
Beginner

Howard Anton

₹600
Abstract Algebra
Abstract Algebra
Advanced

Dummit & Foote

₹1200
A First Course in Abstract Algebra
Intermediate

John Fraleigh

₹700
Topics in Algebra
Intermediate

I.N. Herstein

₹850
Complex Analysis
Complex Analysis
Advanced

Ahlfors

₹950
Complex Variables and Applications
Intermediate

Churchill & Brown

₹750
Functions of One Complex Variable
Advanced

John Conway

₹880

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