The Kerala HSST Mathematics Exam is conducted by the Kerala Public Service Commission to recruit Higher Secondary School Teachers in Mathematics under the Kerala Higher Secondary Education Department.

The HSST Mathematics Exam 2026 is scheduled for May 5, 2026. Candidates preparing for this exam must have strong knowledge in postgraduate-level mathematics along with teaching aptitude, constitution, and Kerala renaissance topics.

HSST Mathematics Exam – Overview

HSST Mathematics Syllabus

The exam is divided into four sections.

• Part I – Mathematics (70 Marks)
  
• Part II – Teaching Aptitude & Research Methodology (10 Marks)
  
• Part III – Indian Constitution (10 Marks)
  
• Part IV – Kerala Renaissance, GK & Current Affairs (10 Marks)
  

Part I – Mathematics (70 Marks)

Module 1 – Linear Algebra

Vector spaces, subspaces, basis and dimension, matrices, determinants, eigenvalues and eigenvectors, Cayley–Hamilton theorem, canonical forms, inner product spaces and quadratic forms.

Module 2 – Real Analysis

Sequences and series, convergence, Bolzano–Weierstrass theorem, Heine–Borel theorem, continuity, differentiability, Rolle’s theorem and Mean Value theorem.

Module 3 – Advanced Real Analysis

Uniform convergence, Riemann integrals, improper integrals, double and triple integrals, Lebesgue measure and integral, functions of several variables, Beta and Gamma functions, Fourier series.

Module 4 – Abstract Algebra

Groups, subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, direct products and Sylow theorems.

Module 5 – Advanced Abstract Algebra

Rings, ideals, quotient rings, polynomial rings, fields, finite fields, field extensions and Galois theory.

Module 6 – Topology

Metric spaces, topological spaces, compact spaces, connected spaces, quotient spaces and product topology.

Module 7 – Complex Analysis

Analytic functions, Cauchy–Riemann equations, Möbius transformations, complex integration, Cauchy’s theorem, residues, Laurent series and maximum modulus principle.

Module 8 – Functional Analysis

Normed linear spaces, Banach spaces, Hilbert spaces, Hahn–Banach theorem, bounded operators and self-adjoint operators.

Module 9 – Differential Equations

First order ODEs, systems of ODEs, Lagrange and Charpit methods, Laplace equation, Heat equation and Wave equation.

Module 10 – Number Theory

Divisibility, congruences, Chinese Remainder Theorem, Euler’s totient function, Fermat’s theorem, Wilson’s theorem and primitive roots.

Part II – Teaching Aptitude & Research Methodology (10 Marks)

Topics include:

• Nature and objectives of teaching
  
• Teaching methods and teaching aids
  
• Evaluation systems
  
• Meaning and types of research
  
• Steps in research and research ethics
  
• Thesis and academic writing
  

Part III – Indian Constitution (10 Marks)

Candidates should study the important features of the Constitution of India, including:

• Preamble and its significance
  
• Fundamental Rights and Duties
  
• Directive Principles of State Policy
  
• Union and State Executive, Legislature and Judiciary
  
• Emergency provisions and constitutional amendments
  

Important legislations like the Right to Information Act 2005 and National Food Security Act 2013 may also appear.

Part IV – Kerala Renaissance, GK & Current Affairs (10 Marks)

Candidates must study social reform movements and leaders such as:

• Sree Narayana Guru
  
• Ayyankali
  
• Chattampi Swamikal
  

Important movements include:

• Vaikom Satyagraha
  
• Guruvayur Satyagraha
  

General knowledge and current affairs are also part of this section.

Final Thoughts

The HSST Mathematics exam on May 5, 2026 requires strong preparation in advanced mathematics along with general sections. Since 70% of the marks come from mathematics, candidates should focus mainly on core mathematical subjects and revise important theorems and concepts regularly.

A structured study plan, practice with previous questions, and consistent revision will help candidates succeed in the Kerala HSST Mathematics recruitment exam.