Kerala PSC VHSE NVT Maths Syllabus 2026 PDF Download: Latest Module-wise Syllabus & Exam Pattern

The Kerala PSC VHSE NVT Maths Syllabus 2026 is the most important resource prescribed by the Kerala Public Service Commission (Kerala PSC) for the recruitment of VHSE NVT 2026 (Mathematics) in the Vocational Higher Secondary Education (VHSE) Department. Candidates preparing for the upcoming Kerala PSC VHSE Exam 2026 should begin their VHSE NVT Preparation 2026 using the latest official syllabus instead of relying on selective topics. 

Access the complete Kerala PSC VHSE NVT Maths Syllabus 2026 PDF, VHSE exam 2026 highlights, module-wise syllabus, preparation tips, recommended books, FAQs, and other essential information to help candidates prepare effectively.

Kerala PSC VHSE NVT Maths Syllabus 2026 Highlights

Before starting your VHSE NVT Preparation 2026 with Kerala PSC VHSE NVT Maths Syllabus 2026, it is important to understand the exam details. The following table summarises the important details related to the Kerala PSC VHSE NVT Mathematics recruitment 2026.

Kerala PSC VHSE NVT Maths Exam Pattern 2026

The Kerala PSC VHSE NVT Mathematics exam pattern 2026 consists of four parts. The Kerala PSC VHSE NVT Maths Syllabus primarily covers advanced postgraduate-level Mathematics along with Teaching Aptitude, Research Methodology, the Indian Constitution, Kerala Renaissance, General Knowledge, and Current Affairs. Since 80% of the marks come from the Mathematics syllabus, candidates should prioritise completing all ten Mathematics modules before focusing on the remaining sections.

Kerala PSC VHSE NVT Maths Syllabus 2026 PDF Download

Candidates preparing for the Kerala PSC VHSE NVT Maths Exam 2026 should always refer to the latest official syllabus released by the Kerala Public Service Commission. Download the Kerala PSC VHSE NVT Maths Syllabus 2026 PDF to access the complete module-wise Mathematics syllabus, Teaching Aptitude, Research Methodology, Constitution, Kerala Renaissance, General Knowledge, and Current Affairs topics prescribed for the VHSE Exam 2026.

Click Here for Kerala PSC VHSE NVT Maths Syllabus 2026 PDF Download
 

Kerala PSC VHSE NVT Maths Syllabus 2026 PDF

The official Kerala PSC VHSE NVT Maths Syllabus 2026 PDF is divided into ten Mathematics modules, followed by Teaching Aptitude, Research Methodology, Constitution, Kerala Renaissance, General Knowledge, and Current Affairs. The Mathematics syllabus is postgraduate-level and tests conceptual understanding rather than formula memorisation. Candidates should therefore focus on mastering the fundamentals of each module while solving sufficient practice problems.

DETAILED SYLLABUS FOR THE POST OF 

NON VOCATIONAL TEACHER (MATHEMATICS) 

IN VOCATIONAL HIGHER SECONDARY EDUCATION 

TOTAL MARKS : 100 

Module I - Linear Algebra: (7 Marks) 

Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations. Algebra of matrices, rank and determinant of matrices, linear equations. Eigenvalues and eigenvectors, Cayley-Hamilton theorem. Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms, triangular forms-rational forms, Jordan forms. Inner product spaces, orthonormal basis. Quadratic form. 

Module II - Real Analysis: (7 Marks) 

Sequences and series, convergence, lim sup. lim inf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, uniform continuity, diferentiability, Rolle’s theorem, Mean value theorem. Sequences and series of functions- uniform convergence. Riemann sums and Riemann integral, Improper Integrals. Double and triple integrals, 

Module III - Real Analysis(continued): (7 Marks) 

Lebesgue measure, Lebesgue integral. directional derivative, partial derivative, Functions of several variables, inverse and implicit function theorems. Special functions- Beta and Gamma functions, Fourier series. 

Module IV - Abstract Algebra: (7 Marks) 

Groups, subgroups, normal subgroups, quotient groups, homomorphisms, isomorphisms, cyclic groups, permutation groups, Cayley’s theorem, Direct products, Fundamental theorem for abelian groups, class equations, Sylow theorems. 

Module V - Abstract Algebra (continued): (7 Marks) 

Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain. Polynomial rings and irreducibility criteria. Fields, finite fields, field extensions, Galois Theory. 

Module VI – Topology: (7 Marks) 

Metric spaces, continuity, Topological spaces, Base, subbase, countability properties, Separation axioms, Compact space, one point compactification, locally compact space, connected spaces, pathwise connectedness, Quotient spaces, Product topology. 

Module VII - Complex Analysis: (7 Marks) 

Complex numbers, polar form, properties of complex numbers, Analytic functions, Cauchy Reimann equations, Conformal Mappings, Mobius transformation, Power series, Zeros of analytic functions, Liouvillis theorem, Complex integration, real integrals using complex integration, Cauchy’s theorem and Cauchy’s integral formula, Morera’s theorem, open mapping theorem, Singularities and its classification, residues, Laurent series, Schwarz lemma, Maximum modulus principle, Argument principle. 

Module VIII - Functional Analysis: (7 Marks) 

Normed Linear spaces, Continuity of linear maps, Banach spaces, Hahn Banach spaces, Open mapping theorem, closed graph theorem, uniform boundedness principle, Inner product spaces, Hilbert spaces Projections, Bounded operators, Normal, unitary and self adjoint operators. 

Module IX - Ordinary Differential & Partial Equations : (7 Marks) 

Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ODEs, system of first order ODEs. General theory of homogenous and non-homogeneous linear ODEs. Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs. Classification of second order PDEs, General solution of higher order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations 

Module X - Theory of Numbers: (7 Marks) 

Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler’s Ø-function, Fermat’s theorem, Wilson’s theorem, Euler’s theorem, primitive roots. 

Part II

Part II (a): Teaching Aptitude (5 Marks)

• Teaching: Nature, objectives, characteristics, and basic requirements
• Learner's characteristics
• Factors affecting teaching
• Methods of teaching
• Teaching aids
• Evaluation systems

Part II (b): Research Aptitude (5 Marks)

• Research: Meaning, characteristics, and types
• Steps of research
• Methods of research
• Research ethics
• Paper, article, workshop, seminar, conference, and symposium
• Thesis writing: Characteristics and format

PART III (a) Salient Features of Indian Constitution – 5 Marks 

Salient features of the Constitution - Preamble- Its significance and its place in the interpretation of the Constitution. 

Fundamental Rights - Directive Principles of State Policy - Relation between Fundamental Rights and Directive Principles - Fundamental Duties. 

Executive - Legislature - Judiciary - Both at Union and State Level. - Other Constitutional Authorities. 

Centre-State Relations - Legislative - Administrative and Financial. Services under the Union and the States. Emergency Provisions. 

Amendment Provisions of the Constitution. 

PART III  (b) Social Welfare Legislations and Programmes – 5 Marks 

Social Service Legislations like Right to Information Act, Prevention of atrocities against Women & Children, Food Security Act, Environmental Acts etc. and Social Welfare Programmes like Employment Guarantee Programme, Organ and Blood Donation etc. 

PART IV 

PART IV (a) Renaissance in Kerala – 5 Marks 

TOWARDS A NEW SOCIETY 

Introduction to English education - various missionary organisations and their functioning/founding of educational institutions, factories.printing press etc. 

EFFORTS TO REFORM THE SOCIETY 

(A) Socio-Religious reform Movements SNDP Yogam, Nair Service Society, Yogakshema Sabha, Sadhu Jana Paripalana Sangham, Vaala Samudaya Parishkarani Sabha, Samathwa Samajam, Islam Dharma Paripalana Sangham, Prathyaksha Raksha Daiva Sabha, Sahodara Prasthanam etc. (B) Struggles and Social Revolts Upper cloth revolts.Channar agitation, Vaikom Sathyagraha, Guruvayoor Sathyagraha, Paliyam Sathyagraha. Kuttamkulam Sathyagraha, Temple Entry Proclamation, Temple Entry Act .Malayalee Memorial, Ezhava Memorial etc. Malabar riots, Civil Disobedience Movement, Abstention Movement etc. 

ROLE OF PRESS IN RENAISSANCE 

Malayalee, Swadeshabhimani, Vivekodayam, Mithavadi, Swaraj, Malayala Manorama, Bhashaposhini, Mathnubhoomi, Kerala Kaumudi, Samadarsi, Kesari, AI-Ameen, Prabhatham, Yukthivadi, etc 

AWAKENING THROUGH LITERATURE 

Novel, Drama, Poetry, Purogamana Sahithya Prasthanam, Nataka Prashtanam, Library movement etc 

WOMEN AND SOCIAL CHANGE 

Parvathi Nenmenimangalam, Arya Pallam, A V Kuttimalu Amma, Lalitha Prabhu.Akkamma Cheriyan, Anna Chandi, Lalithambika Antharjanam and others 

LEADERS OF RENAISSANCE 

Thycaud Ayya Vaikundar, Sree Narayana Guru, Ayyan Kali.Chattampi Swamikal, Brahmananda Sivayogi, Vagbhadananda, Poikayil Yohannan(Kumara Guru) Dr Palpu, Palakkunnath Abraham Malpan, Mampuram Thangal, Sahodaran Ayyappan, Pandit K P Karuppan, Pampadi John Joseph, Mannathu Padmanabhan, V T Bhattathirippad, Vakkom Abdul Khadar Maulavi, Makthi Thangal, Blessed Elias Kuriakose Chavara, Barrister G P Pillai, TK Madhavan, Moorkoth Kumaran, C. Krishnan, K P Kesava Menon, Dr.Ayyathan Gopalan, C V Kunjuraman, Kuroor Neelakantan Namboothiripad, Velukkutty Arayan, K P Vellon, P K Chathan Master, K Kelappan, P. Krishna Pillai, A K Gopalan, T R Krishnaswami Iyer, C Kesavan. Swami Ananda Theerthan , M C Joseph, Kuttippuzha Krishnapillai and others 

LITERARY FIGURES 

Kodungallur Kunhikkuttan Thampuran, KeralaVarma Valiyakoyi Thampuran, Kandathil Varghese Mappila. Kumaran Asan, Vallathol Narayana Menon, Ulloor S Parameswara Iyer, G Sankara Kurup, Changampuzha Krishna Pillai, Chandu Menon, Vaikom Muhammad Basheer. Kesav Dev, Thakazhi Sivasankara Pillai, Ponkunnam Varky, S K Pottakkad and others 

PART IV (b) General Knowledge and Current Affairs (5 Marks) 

General Knowledge and Current Affairs 

Prepare for Kerala PSC VHSE NVT Maths 2026 with the Best Online PSC Coaching in Kerala

The Kerala PSC VHSE NVT Notification 2026 is expected to be released soon, making this the apt time to begin your VHSE NVT preparation 2026.

Starting your VHSE NVT Preparation 2026 early gives you enough time to complete the extensive Mathematics syllabus, revise important concepts, solve previous year question papers, and attempt mock tests before the exam. CC Learning App is a multi-learning platform offering one of the best online Kerala PSC coaching programmes for teaching and other competitive exams.

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• Regular mock tests with detailed performance analysis
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Download CC Learning App today and start your Kerala PSC VHSE NVT Maths 2026 preparation with the best online PSC learning platform in Kerala.

Frequently Asked Questions Kerala PSC VHSE 2026

Where can I download the Kerala PSC VHSE NVT Maths Syllabus 2026 PDF?

Candidates can download the official Kerala PSC VHSE NVT Maths Syllabus 2026 PDF from the Kerala PSC website. This article also provides the direct PDF download link and complete module-wise syllabus.

What is included in the Kerala PSC VHSE NVT Maths Syllabus 2026?

The Kerala PSC VHSE NVT Maths Syllabus 2026 includes Linear Algebra, Real Analysis, Abstract Algebra, Topology, Complex Analysis, Functional Analysis, Differential Equations, Number Theory, Teaching Aptitude, Research Methodology, Constitution, Kerala Renaissance, General Knowledge, and Current Affairs.

What is the Kerala PSC VHSE NVT Maths Exam Pattern 2026?

The Kerala PSC VHSE NVT Maths Exam 2026 carries 100 marks, with 80 marks from Mathematics and 20 marks from Teaching Aptitude, Research Methodology, Constitution, Kerala Renaissance, General Knowledge, and Current Affairs.

Is the Kerala PSC VHSE NVT Notification 2026 released?

No. The Kerala PSC VHSE NVT Notification 2026 is yet to be released. Candidates are advised to begin preparation early using the latest official syllabus and follow Kerala PSC announcements for updates.

When will the Kerala PSC VHSE NVT Exam Date 2026 be announced?

The VHSE NVT Exam Date 2026 will be announced by Kerala PSC after the official VHSE NVT notification is released. Candidates should complete their syllabus well in advance instead of waiting for the exam schedule.

How should I prepare for Kerala PSC VHSE 2026 for NVT Maths?

Prepare according to the latest official syllabus, complete each Mathematics module systematically, revise regularly, solve previous year question papers, and attempt mock tests to improve accuracy and time management.

Which books are best for Kerala PSC VHSE NVT preparation 2026 for Maths?

Candidates should primarily follow standard postgraduate Mathematics textbooks covering Linear Algebra, Real Analysis, Abstract Algebra, Complex Analysis, Functional Analysis, Differential Equations, and Number Theory, along with Kerala PSC previous year question papers.

Which is the best online coaching platform for Kerala PSC VHSE NVT Maths 2026?

Many Kerala PSC aspirants prefer CC Learning App because it offers complete syllabus coverage, expert faculty, live and recorded classes, mock tests, previous year question discussions, and personalised mentorship for Kerala PSC examinations.