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Non Vocational Teacher Mathematics Syllabus 2023, Download PDF

Non Vocational Teacher Mathematics Syllabus: Kerala Public Service Commission has published Non Vocational Teacher Mathematics Syllabus on its official website. If you have applied for the post of Non Vocational Teacher in Mathematics and would like to know the detailed syllabus, then your search ends right here. To crack the exam, one needs to have a clear understanding of the syllabus, therefore read through Non Vocational Teacher Mathematics Syllabus to broaden your perspective. You can also download Non Vocational Teacher Mathematics PSC Syllabus in PDF format.

Non Vocational Teacher Mathematics Syllabus 2023

Non Vocational Teacher Mathematics Syllabus 2023: เดชเดฐเต€เด•เตเดทเดฏเตเด•เตเด•เตเดณเตเดณ เดคเดฏเตเดฏเดพเดฑเต†เดŸเตเดชเตเดชเตเด•เตพ เด†เดฐเด‚เดญเดฟเด•เตเด•เดพเตปย  เดธเดฎเดฏเดฎเดพเดฏเดฟ. เดชเดฐเต€เด•เตเดทเดฏเดฟเตฝ เดตเดฟเดœเดฏเดฟเด•เตเด•เตเดจเตเดจเดคเดฟเดจเต, เดธเดฟเดฒเดฌเดธเดฟเดจเต†เด•เตเด•เตเดฑเดฟเดšเตเดšเต เดตเตเดฏเด•เตเดคเดฎเดพเดฏ เดงเดพเดฐเดฃ เด‰เดฃเตเดŸเดพเดฏเดฟเดฐเดฟเด•เตเด•เดฃเด‚, เด…เดคเดฟเดจเดพเตฝ เด•เต‡เดฐเดณ PSC เดจเต‹เตบ เดตเตŠเด•เตเด•เต‡เดทเดฃเตฝ เดŸเต€เดšเตเดšเตผ เดฎเดพเดคเตเดคเดฎเดพเดฑเตเดฑเดฟเด•เตเดธเต เดธเดฟเดฒเดฌเดธเต 2023 เดตเดฟเดถเดฆเดฎเดพเดฏเดฟ เดตเดพเดฏเดฟเดšเตเดšเต เดฎเดจเดธเดฟเดฒเดพเด•เตเด•เตเด•. เดจเดฟเด™เตเด™เตพเด•เตเด•เต Non Vocational Teacher Mathematics Syllabus PDF เดฐเต‚เดชเดคเตเดคเดฟเตฝ เดกเต—เตบเดฒเต‹เดกเต เดšเต†เดฏเตเดฏเดพเดตเตเดจเตเดจเดคเดพเดฃเต.

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Kerala PSC Non Vocational Teacher Mathematics Syllabus: Overview

เดšเตเดตเดŸเต† เดจเตฝเด•เดฟเดฏเดฟเดฐเดฟเด•เตเด•เตเดจเตเดจ เดชเดŸเตเดŸเดฟเด•เดฏเดฟเตฝ Kerala PSC Non Vocational Teacher Mathematics Syllabus เดธเด‚เดฌเดจเตเดงเดฎเดพเดฏ เดŽเดฒเตเดฒเดพ เดชเตเดฐเดงเดพเดจเดชเตเดชเต†เดŸเตเดŸ เดตเดฟเดตเดฐเด™เตเด™เดณเตเด‚ เดฒเดญเดฟเด•เตเด•เตเด‚.

Kerala PSC Non Vocational Teacher Mathematics Syllabus
Organization Kerala Public Service Commission
Category Exam Syllabus
Department Kerala Vocation Higher Secondary Education
Name of the Post Non Vocational Teacher in Mathematics
Category No. 73/2022
Last Date to Submit Confirmation 23rd March to 11th April 2023
Mode of Examination ONLINE/ OMR
Medium of Questions English
Total Marks 100
Duration of Examination 1 Hour 30 Minutes
Official Website www.keralapsc.gov.in

Kerala PSC Non Vocational Teacher Mathematics Exam Pattern

เด•เต‡เดฐเดณ PSC เดจเต‹เตบ เดตเตŠเด•เตเด•เต‡เดทเดฃเตฝ เดŸเต€เดšเตเดšเตผ เดฎเดพเดคเตเดคเดฎเดพเดฑเตเดฑเดฟเด•เตเดธเต เดชเดฐเต€เด•เตเดทเดฏเตเดŸเต† เดตเดฟเดถเดพเดฒเดฎเดพเดฏ เดชเดฐเต€เด•เตเดท เดชเดพเดฑเตเดฑเต‡เตบ เด‡เดคเดพเดฃเต:

  • เด’เดฌเตเดœเด•เตเดŸเต€เดตเต เด…เดŸเดฟเดธเตเดฅเดพเดจเดคเตเดคเดฟเดฒเตเดณเตเดณ เดชเดฐเต€เด•เตเดทเดฏเดพเดฃเดฟเดคเต.
  • เด†เด•เต† 1.30 เดฎเดฃเดฟเด•เตเด•เต‚เดฑเดพเดฃเต เดชเดฐเต€เด•เตเดทเดพ เดฆเตˆเตผเด˜เตเดฏเด‚.
  • เด†เด•เต† เดฎเดพเตผเด•เตเด•เต 100.
  • เด“เดฐเต‹ เดถเดฐเดฟเดฏเดพเดฏ เด‰เดคเตเดคเดฐเดคเตเดคเดฟเดจเตเด‚ 1 เดฎเดพเตผเด•เตเด•เต เดจเตฝเด•เตเด‚.
  • เด“เดฐเต‹ เดคเต†เดฑเตเดฑเดพเดฏ เด‰เดคเตเดคเดฐเดคเตเดคเดฟเดจเตเด‚ 1/3 เดฎเดพเตผเด•เตเด•เต เด•เตเดฑเดฏเตเด•เตเด•เตเดจเตเดจเต.

 

Non Vocational Teacher Mathematics Exam Pattern
Parts Topics Marks
Part I Mathematics 70 Marks
Part II Teaching Aptitude, Research Methodology 10 Marks
Part III Salient Features Of the Indian Constitution, Social Welfare Legislations and Programmes, Renaissance in Kerala, 10 Marks
Part IV ย General Knowledge, and Current Affairs 10 Marks

Non Vocational Teacher Mathematics Syllabus PDF Download

Non Vocational Teacher Mathematics Syllabus PDF เดกเต—เตบเดฒเต‹เดกเต เดšเต†เดฏเตเดฏเดพเตป, เดคเดพเดดเต† เดจเตฝเด•เดฟเดฏเดฟเดฐเดฟเด•เตเด•เตเดจเตเดจ เดฒเดฟเด™เตเด•เดฟเตฝ เด•เตเดฒเดฟเด•เตเด•เต เดšเต†เดฏเตเดฏเตเด•.

Non Vocational Teacher Mathematics Syllabus PDF Downloadย 

Kerala PSC Non Vocational Teacher Mathematics Syllabus 2023

PART I – Mathematics

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, differentiability, Rolleโ€™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, Cayleyโ€™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 โ€“ Topology (7 Marks)

  • Metric spaces, continuity, Topological spaces, Base, subbase, countability properties, Separation axioms, Compact space, one-point compactification, locally compact space, connected spaces, path-wise 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, Cauchyโ€™s theorem and Cauchyโ€™s integral formula, Moreraโ€™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, and system of first-order ODEs. The 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, Eulerโ€™s ร˜-function, Fermatโ€™s theorem, Wilsonโ€™s theorem, Eulerโ€™s theorem, primitive roots.

PART II

RESEARCH METHODOLOGY and TEACHING APTITUDE

I. TEACHING APTITUDE

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

II. RESEARCH APTITUDE

  • ย Research: Meaning, Characteristics, and Types;
  • ย Steps of research;
  • ย Methods of research;
  • ย Research Ethics;
  • ย Paper, article, workshop, seminar, conference, and symposium;
  • ย Thesis writing: its characteristics and format.

PART III

Salient Features of the Indian Constitution

  • 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.

Social Welfare Legislations and Programmes

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

RENAISSANCE IN KERALA

TOWARDS A NEW SOCIETY

  • Introduction to English education – various missionary organizations and their functioning- the 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. Malyalee Memorial, Ezhava Memorial, etc. Malabar riots, Civil Disobedience Movement, Abstention movement, etc.

ROLE OF THE 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 Chaavra, 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, Kerala Varma Valiyakoyi Thampuran, Kandathil Varghese C 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

GENERAL KNOWLEDGE AND CURRENT AFFAIRS (10 Marks)

 

 

 

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FAQs

Is there any negative marking in Non Vocational Teacher Mathematics Exam?

Yes, there is a negative marking of 0.33 marks.

From where can I download Non Vocational Teacher Mathematics Syllabus?

The direct link to download Non Vocational Teacher Mathematics Syllabus is provided in the article.