CUET PG Mathematics Syllabus 2026: Check Subject-Wise Syllabus and Exam Pattern

CUET PG Mathematics 2026: Subject-Wise Detailed Syllabus

The syllabus for CUET PG Mathematics is broadly categorized into 10 major sections, covering essential topics from undergraduate-level mathematics.

1. Algebra

This section tests knowledge in abstract algebra and linear algebra, which form the foundation of advanced mathematical studies.

Key Topics:

• Group Theory:
  • Groups, Subgroups, Normal subgroups
  • Cyclic groups, Cosets, Lagrange’s theorem
  • Homomorphisms, Isomorphisms
  • Permutation groups, Sylow theorems

• Ring Theory:
  • Rings, Ideals, Quotient rings
  • Ring homomorphisms
  • Polynomial rings, Euclidean domains, Principal Ideal Domains

• Linear Algebra:
  • Vector spaces, Linear transformations
  • Basis, Dimension, Rank and Nullity
  • Eigenvalues and Eigenvectors
  • Inner product spaces, Gram-Schmidt orthonormalization

Tip: Focus on solving theorems and proofs, as many questions are concept-based.

2. Real Analysis

This section evaluates understanding of functions, limits, and integration.

Key Topics:

• Sequences and Series:
  • Convergence of sequences, Monotonic sequences
  • Cauchy’s theorem, Tests for convergence
  • Power series and Uniform convergence

• Continuity and Differentiation:
  • Mean Value Theorems (Rolle’s, Lagrange’s, Cauchy’s)
  • Taylor’s and Maclaurin’s theorems

• Integration:
  • Riemann integration, Improper integrals
  • Fundamental Theorem of Calculus

Tip: Practice epsilon-delta definitions and theorems on convergence.

3. Complex Analysis

This section covers the behavior of functions in the complex number system.

Key Topics:

• Analytic Functions:
  • Cauchy-Riemann equations, Harmonic functions

• Complex Integration:
  • Cauchy’s integral theorem, Residue theorem
  • Laurent and Taylor series

Tip: Focus on contour integration and singularities.

4. Topology

This section tests fundamental concepts of topology, essential for advanced mathematical studies.

Key Topics:

• Open & Closed Sets, Basis & Subspace Topology
• Compactness, Connectedness, Homeomorphisms
• Continuous Functions in Topology

Tip: Understand basic definitions and counterexamples for quick recall.

5. Ordinary Differential Equations (ODEs)

Candidates should have a strong grasp of solving first and second-order ODEs.

Key Topics:

• First-Order ODEs:
  • Linear and exact equations
  • Bernoulli and Riccati equations

• Second-Order ODEs:
  • Homogeneous and Non-Homogeneous equations
  • Variation of Parameters, Method of Undetermined Coefficients

• Systems of ODEs:
  • Matrix methods, Phase plane analysis

Tip: Focus on solving differential equations using standard methods.

6. Partial Differential Equations (PDEs)

Key Topics:

• First & Second-Order PDEs
• Solution Methods: Separation of variables, Fourier series
• Applications: Heat equation, Wave equation

Tip: Solve problems using Laplace & Fourier transforms.

7. Numerical Analysis

Numerical methods play a significant role in solving equations computationally.

Key Topics:

• Numerical Solutions of Equations
  • Bisection, Newton-Raphson method

• Interpolation & Approximation
  • Lagrange and Newton interpolation

• Numerical Differentiation & Integration
  • Trapezoidal & Simpson’s rules

Tip: Focus on error analysis and iterative methods.

8. Linear Programming

This section covers optimization problems.

Key Topics:

• Simplex Method, Duality Theory
• Transportation and Assignment Problems

Tip: Master graphical & simplex methods.

9. Mechanics

Key Topics:

• Statics: Equilibrium, Virtual work
• Dynamics: Newton’s laws, Energy methods

Tip: Solve Newtonian mechanics-based problems.

10. Probability & Statistics

Key Topics:

• Probability Theory: Bayes’ Theorem, Conditional Probability
• Random Variables: Expectation, Variance
• Statistical Inference: Hypothesis Testing

Tip: Revise probability distributions and regression analysis.

CUET PG Mathematics 2026 syllabus demands conceptual clarity, problem-solving ability, and strong analytical skills. With consistent preparation, focused revision, and strategic practice, candidates can significantly improve their chances of securing top ranks.

Download CUET PG Mathematics Syllabus PDF 2026