Kerala PSC HSST Mathematics Syllabus PDF 2026 | Modules, Exam Pattern & Free Download Guide

A thorough understanding of the official Kerala PSC HSST Mathematics syllabus 2026 is the foundation for effective preparation for the HSST Mathematics Examination 2026. The HSST Mathematics syllabus details the subject-wise topics, module structure and important focus areas that aspirants must study to achieve a high score in the exam.   

Get the complete HSST Mathematics syllabus 2026 PDF to boost your score with syllabus-based, exam-focused study. Use our app-based classes for smart learning, designed for both beginners and working professionals.

Kerala PSC HSST Mathematics Recruitment 2026 Highlights

Kerala PSC HSST Junior Mathematics Recruitment 2026 is conducted to appoint qualified Mathematics teachers in Higher Secondary Education. This permanent teaching job offers high salary, job security and long-term career growth.

Kerala PSC HSST Mathematics Exam Pattern 2026

To prepare efficiently, you must know the Kerala PSC HSST Mathematics Exam Pattern 2026.

The Kerala PSC HSST Mathematics exam is an objective-type OMR examination. It consists of 100 questions carrying 100 marks in total. The exam duration is 1 hour and 15 minutes and negative marking is applicable as per Kerala PSC rules.

With our HSST Mathematics app-based classes, you’ll cover all modules and general paper with structured lessons and tests.

Kerala PSC HSST Mathematics Syllabus 2026 PDF 

The Kerala PSC HSST Mathematics syllabus 2026 is based on MA Mathematics standards and covers topics like algebra, calculus and geometry. Knowing the syllabus early helps aspirants plan app-based learning and focus only on important exam topics.

Scroll down and see the complete Kerala PSC HSST Mathematics Syllabus 2026. 
 

DETAILED SYLLABUS FOR THE POST OF 

HIGHER SECONDARY SCHOOL TEACHER IN MATHEMATICS IN

HIGHER SECONDARY EDUCATION(484/2019,523/2021) HIGHER

SECONDARY SCHOOL TEACHER IN MATHEMATICS (JUNIOR)IN

HIGHER SECONDARY EDUCATION DEPARTMENT (490/2021,739/2021)NVT

(JUNIOR) MATHEMATICS IN VOCATIONAL HIGHR SECONDARY

EDUCATION(270/2021) 

PART 1 - MATHEMATICS (70 Marks)

Module 1 - Linear Algebra (7 Marks)

• Vector spaces and subspaces
• Linear dependence and independence
• Basis and dimension
• Algebra of linear transformations
• Algebra of matrices
• Rank and determinant of matrices
• Systems of linear equations
• Eigenvalues and eigenvectors
• Cayley - Hamilton theorem
• Matrix representation of linear transformations
• Change of basis
• Canonical forms
  • Diagonal form
  • Triangular form
  • Rational canonical form
  • Jordan canonical form
• Inner product spaces
• Orthonormal basis
• Quadratic forms

Module 2 - Real Analysis (7 Marks)

• Sequences and series
• Convergence of sequences
• Limit superior and limit inferior
• Bolzano - Weierstrass theorem
• Heine - Borel theorem
• Continuity and uniform continuity
• Differentiability
• Rolle’s theorem
• Mean Value Theorem
• Sequences and series of functions
• Uniform convergence
• Riemann sums
• Riemann integral
• Improper integrals
• Double and triple integrals

Module 3 - Real Analysis (Continued) (7 Marks)

• Lebesgue measure
• Lebesgue integral
• Functions of several variables
• Partial derivatives
• Directional derivatives
• Inverse function theorem
• Implicit function theorem
• Special functions
  • Beta function
  • Gamma function
• Fourier series

Module 4 - Abstract Algebra (7 Marks)

• Groups and subgroups
• Normal subgroups
• Quotient groups
• Homomorphisms and isomorphisms
• Cyclic groups
• Permutation groups
• Cayley’s theorem
• Direct products
• Fundamental theorem of finite abelian groups
• Class equation
• Sylow theorems

Module 5 - Abstract Algebra (Continued) (7 Marks)

• Rings and ideals
• Prime and maximal ideals
• Quotient rings
• Integral domains
• Unique Factorization Domains (UFD)
• Principal Ideal Domains (PID)
• Euclidean domains
• Polynomial rings
• Irreducibility criteria
• Fields and finite fields
• Field extensions
• Galois Theory

Module 6 - Topology (7 Marks)

• Metric spaces
• Continuity
• Topological spaces
• Basis and subbasis
• Countability axioms
• Separation axioms
• Compact spaces
• One-point compactification
• Locally compact spaces
• Connected spaces
• Path-connected spaces
• Quotient spaces
• Product topology

Module 7 - Complex Analysis (7 Marks)

• Complex numbers and polar form
• Properties of complex numbers
• Analytic functions
• Cauchy–Riemann equations
• Conformal mappings
• Möbius transformations
• Power series
• Zeros of analytic functions
• Liouville’s theorem
• Complex integration
• Evaluation of real integrals using complex methods
• Cauchy’s theorem
• Cauchy’s integral formula
• Morera’s theorem
• Open mapping theorem
• Singularities and classification
• Laurent series
• Residue theorem
• Schwarz lemma
• Maximum modulus principle
• Argument principle

Module 8 - Functional Analysis (7 Marks)

• Normed linear spaces
• Continuity of linear operators
• Banach spaces
• Hahn - Banach theorem
• Open mapping theorem
• Closed graph theorem
• Uniform boundedness principle
• Inner product spaces
• Hilbert spaces
• Orthogonal projections
• Bounded operators
• Normal, unitary and self-adjoint operators

Module 9 - Ordinary & Partial Differential Equations (7 Marks)

• Existence and uniqueness of solutions of first-order ODEs
• Singular solutions of first-order ODEs
• Systems of first-order ODEs
• Homogeneous and non-homogeneous linear ODEs
• Lagrange’s method for first-order PDEs
• Charpit’s method
• Cauchy problem for first-order PDEs
• Classification of second-order PDEs
• Higher-order PDEs with constant coefficients
• Separation of variables method
  • Laplace equation
  • Heat equation
  • Wave equation

Module 10 - Theory of Numbers (7 Marks)

• Fundamental theorem of arithmetic
• Divisibility in ℤ
• Congruences
• Chinese Remainder Theorem
• Euler’s φ-function
• Fermat’s little theorem
• Wilson’s theorem
• Euler’s theorem
• Primitive roots

PART 2 - RESEARCH METHODOLOGY & TEACHING APTITUDE (10 Marks)

1. Teaching Aptitude

• Teaching: nature, objectives, characteristics
• Learner characteristics
• Factors influencing teaching
• Teaching methods
• Teaching aids
• Evaluation systems

2. Research Aptitude

• Research: meaning, nature, types
• Steps in research
• Research methods
• Research ethics
• Seminar, workshop, conference, symposium
• Thesis writing: format and characteristics

PART 3 - CONSTITUTION & RENAISSANCE IN KERALA (10 Marks)

Indian Constitution

• Preamble and its significance
• Fundamental Rights
• Directive Principles of State Policy
• Fundamental Duties
• Union and State Executive, Legislature, Judiciary
• Constitutional bodies
• Centre - State relations
• Services under Union and States
• Emergency provisions
• Amendment procedures

Social Welfare Legislations & Programmes

• Right to Information Act
• Acts related to women & children
• Food Security Act
• Environmental Acts
• Employment Guarantee Programme
• Organ and Blood Donation initiatives

Kerala Renaissance

• English education and missionary activities
• Social and religious reform movements
• Social struggles and revolts
• Role of press
• Literary awakening
• Women and social change
• Leaders of Kerala Renaissance
• Prominent literary figures

PART 4 - GENERAL KNOWLEDGE & CURRENT AFFAIRS (10 Marks)

• National and international events
• Kerala - specific current affairs
• Government schemes
• Science & technology
• Economy and society

Click the link below to download the Kerala PSC HSST Mathematics Syllabus 2026 PDF and build your HSST Mathematics study plan 2026. Begin app-based learning, follow structured app classes and concentrate only on key topics to prepare effectively for the HSST Mathematics exam.

Kerala PSC HSST Mathematics Syllabus 2026 PDF

How to Prepare for Kerala PSC HSST Mathematics 2026?

• Understand the Kerala PSC HSST Mathematics syllabus 2026 thoroughly.
• Build strong conceptual clarity in linear algebra, real analysis, calculus and abstract algebra.
• Practice PSC-standard numerical problems daily.
• Focus on high-weightage and advanced topics like Differential Equations and Probability.
• Solve HSST Mathematics previous year question papers regularly.
• Revise formulas, theorems and concepts consistently.
• Attempt mock tests to improve speed and accuracy.
• Follow a disciplined daily study schedule (5 - 6 hours).
• Use app based HSST Mathematics classes for structured learning.

Enrol in the Best HSST Mathematics Coaching for Kerala PSC 2026

Preparing for the Kerala PSC HSST Mathematics Exam 2026 becomes more effective with the right academic support, structured guidance and smart app-based learning. CC Learning App stands out as one of the best HSST Mathematics coaching app in Kerala, trusted by thousands of successful candidates who cleared Kerala PSC teaching exams through focused, exam-oriented preparation.

Why choose CC Learning App?

• Complete and in-depth coverage of the HSST Mathematics syllabus
• Live and recorded Mathematics classes through the app by experienced faculty
• Kerala PSC HSST Mathematics mock tests and detailed PYQ analysis
• Scheduled revision programs and concept reinforcement sessions
• Mentorship and exam guidance
• Flexible learning ideal for working and repeat aspirants

Download the CC Learning App today and begin your Kerala PSC HSST Mathematics 2026 preparation with confidence, clarity and a result-oriented learning approach.

Frequently Asked Questions

1. What is the Kerala PSC HSST Mathematics exam?
The Kerala PSC HSST Mathematics exam is a teacher recruitment examination conducted by the Kerala Public Service Commission to select qualified candidates for Higher Secondary School Teacher (HSST) Mathematics posts in Kerala.

2. Is app-based learning useful for HSST Mathematics preparation?

Yes, app-based learning offers flexible access to live and recorded classes, expert guidance, revision sessions and mock tests, making it highly effective for HSST Mathematics aspirants.

3. Are previous year question papers important for HSST Mathematics?

Absolutely. Kerala PSC HSST Mathematics PYQs help candidates understand exam trends, important topics and question patterns.

4. How long does it take to prepare for HSST Mathematics?

A focused preparation period of 3 to 6 months is generally sufficient, depending on the candidate’s subject knowledge and consistency.

5. Is the Kerala PSC HSST Mathematics syllabus the same every year?
Yes, the core syllabus remains mostly unchanged, but candidates must always refer to the latest official PSC notification for updates or minor revisions.

6. What are the most important topics for HSST Mathematics exam?
High-weightage topics include Linear Algebra, Real Analysis, Differential Equations, Abstract Algebra, Numerical Methods and Vector Calculus.

7. Does the HSST Mathematics exam include negative marking?
Yes, negative marking is applicable in Kerala PSC objective exams. Careful answering and mock test practice are important to avoid losing marks.

8. How many questions are asked in the HSST Mathematics exam?
The number of questions may vary based on notification, but the exam usually consists of objective-type multiple-choice questions (MCQs).

9. Is calculator allowed in Kerala PSC HSST Mathematics exam?
No, calculators are not allowed in Kerala PSC HSST Mathematics exams. Candidates should practice manual problem-solving techniques.

10. Can I clear HSST Mathematics exam in the first attempt?
Yes. With consistent study, proper revision, PYQ practice and mock tests, many candidates clear the HSST Mathematics exam in their first attempt.

11. Are mock tests important for HSST Mathematics preparation?
Yes. PSC-standard mock tests help candidates assess accuracy, speed and exam readiness while identifying weak areas.

12. What is the mode of Kerala PSC HSST Mathematics exam?
The exam is conducted in offline or online mode, as notified by Kerala PSC, depending on exam center arrangements.