DSSSB PGT Mathematics Syllabus 2025 – Complete & Detailed Guide

If you are preparing for the DSSSB PGT Mathematics Exam 2025, knowing the complete and updated syllabus is the first and most crucial step. This examination demands both conceptual depth and teaching aptitude. The syllabus is vast, covering topics from school-level mathematics to advanced university-level concepts.

सभी अभ्यर्थियों को सूचित किया जाता है कि रिजल्ट, सिलेबस, आवेदन लिंक, एडमिट कार्ड व नोटिफिकेशन के सभी लिंक नीचे उपलब्ध हैं।

Below you will find the complete DSSSB PGT Mathematics Syllabus 2025, explained in a simple and structured way.

---

Part A – DSSSB PGT Mathematics Syllabus 2025

1. Sets and Relations

Understand the basics of set theory, Venn diagrams, subsets, operations on sets, and types of relations. Functions, their domains, ranges, and compositions form the foundation for advanced topics.

2. Mathematical Induction

Learn the principle of mathematical induction and its applications in proving identities and inequalities.

3. Combinations & Permutations

Covers arrangements and selections, the concept of factorial notation, circular permutations, and practical applications in counting.

4. Binomial Theorem

Study the expansion of (a+b)n(a+b)^n(a+b)n, properties of binomial coefficients, and their use in approximations and algebraic problems.

5. Sequences & Series

Includes arithmetic, geometric, and harmonic progressions; sum to n terms; means; and special series like the sum of squares and cubes.

6. Elementary Number Theory

Focus on divisibility, prime numbers, congruences, Euler’s theorem, Fermat’s theorem, and modular arithmetic.

7. Quadratic Equations

Learn about roots, relationships between roots and coefficients, and the nature of roots of a quadratic equation.

8. Geometry and Coordinate Geometry

Covers straight lines, circles, conic sections, and the intersection of curves. Includes the study of geometry in both two and three dimensions.

9. Trigonometric Functions

Covers trigonometric identities, equations, properties of triangles, inverse trigonometric functions, and their graphs.

10. Application of Derivatives

Learn about maxima and minima, tangents and normals, rate of change, and real-life applications.

11. Vectors and 3D Geometry

Study vector algebra, scalar and vector products, direction cosines, and equations of lines and planes in 3D space.

12. Statistics and Probability

Understand measures of central tendency, dispersion, correlation, regression, probability distributions, and sampling theory.

13. Differential Equations

Covers formation, order, degree, and methods of solving ordinary differential equations.

14. Integral Calculus

Integration as the inverse process of differentiation, definite integrals, and applications in area, volume, and motion problems.

15. Complex Analysis

Introduction to complex numbers, analytic functions, Cauchy-Riemann equations, and contour integration.

16. Algebra and Group Theory

Covers linear algebra, determinants, matrices, vector spaces, linear transformations, and properties of groups, rings, and fields.

17. Topology

Introduction to topology, open and closed sets, basis, subspace topology, continuity, and connectedness.

18. Theory of Real Functions

Study limits, continuity, differentiability, Riemann integration, and sequences and series of functions.

19. Advanced Topics in Mathematics

Includes:

• Algebraic Topology – Fundamental groups and covering spaces.
• Commutative Algebra – Ideals, rings, and homomorphisms.
• Representation of Finite Groups – Basic structure and examples.
• Fourier Analysis – Fourier series and transforms.
• Matrix Analysis – Eigenvalues, eigenvectors, and inequalities.
• Advanced Complex Analysis – Residue theorem and conformal mapping.
• Measure Theory – σ-algebras, measurable functions, and integration.
• Computational Fluid Dynamics – Mathematical models of fluid flow.
• Computational Methods for ODEs – Numerical techniques for solving differential equations.
• Mathematical Programming – Linear and nonlinear optimization.
• Methods of Applied Mathematics – PDEs, transforms, and asymptotic methods.
• Coding Theory – Error detection, correction, and cryptography basics.
• Stochastic Calculus for Finance – Brownian motion and Itô calculus.
• Advanced Group and Number Theory – Homomorphisms, cosets, and algebraic integers.
• Simplicial Homology Theory – Study of topological spaces using algebraic tools.
• Noncommutative Rings – Structure and examples.
• Abstract Harmonic Analysis – Functions on groups and convolution.
• Frames and Wavelets – Signal representation using wavelets.
• Operators on Hardy Hilbert Spaces – Operator theory and applications.
• Unbounded Operators – Self-adjoint and symmetric operators.
• Differential Geometry – Curves, surfaces, and curvature.
• Topological Dynamics – Continuous transformations and dynamical systems.
• Fluid Dynamics – Navier-Stokes equations and flow patterns.
• Metric and Determination Spaces – Metric properties, completeness, and compactness.
• Linear Algebra Inequalities – Matrix norms and inequalities.

---

Part B – Teaching Aptitude & Methodology

This section tests a candidate’s understanding of educational psychology, pedagogy, and teaching-learning processes. It evaluates your readiness as an educator.

1. Learning & Teaching

Theories of learning, individual differences, motivation, and learner-centered teaching strategies.

2. Language Across the Curriculum

Importance of language in learning mathematics, communication skills, and classroom interaction.

3. Understanding Discipline and Subject

Nature of mathematics as a discipline, its logical structure, and its role in curriculum development.

4. Gender, School, and Society

Awareness about gender equality, inclusive education, and the role of schools in social change.

5. Pedagogy of Mathematics

Teaching methods, lesson planning, activity-based learning, and use of technology in teaching mathematics.

6. Knowledge and Curriculum

Philosophical foundations of education, curriculum design, and objectives of teaching mathematics.

7. Assessment for Learning

Types of assessment, formative and summative evaluation, and feedback mechanisms for improving learning outcomes.

8. Creating an Inclusive School

Understanding diversity, special education needs, and strategies for inclusive classroom practices.

9. Childhood and Growing Up

Developmental stages, adolescence challenges, and guidance for learners.

10. Drama and Art in Education

Integrating creative arts and drama in teaching to enhance student engagement and understanding.

---

Final Thoughts

The DSSSB PGT Mathematics Syllabus 2025 blends pure mathematics, applied mathematics, and modern teaching methodologies. To succeed, focus on conceptual clarity, consistent practice, and awareness of current teaching trends.
A smart preparation strategy that covers both Mathematics and Pedagogy will ensure a strong performance in the exam.

---

---