DETAILED SYLLABUS FOR THE POST OF HIGH SCHOOL ASSISTANT (MATHEMATICS) MALAYALAM MEDIUM IN EDUCATION DEPARTMENT

DETAILED SYLLABUS FOR THE POST OF HIGH SCHOOL ASSISTANT (MATHEMATICS) MALAYALAM MEDIUM IN EDUCATION DEPARTMENT

(Category No.: 369/2019, 370/2019, 371/2019, 372/2019, 383/2020)

PART I

Module I : Renaissance and freedom movement

Module II: General Knowledge and current affairs

PART II

Module III: Methodology of teaching the subject

♦ History/conceptual development. Need and Significance, Meaning Nature and Scope of

the Subject.

♦ Correlation with other subjects and life situations.

♦ Aims, Objectives, and Values of Teaching - Taxonomy of Educational Objectives - Old

and revised

♦ Pedagogic analysis- Need, Significance and Principles.

♦ Planning of instruction at Secondary level- Need and importance. Psychological bases of

Teaching the subject - Implications of Piaget, Bruner, Gagne, Vygotsky, Ausubel and

Gardener - Individual difference, Motivation, Maxims of teaching.

♦ Methods and Strategies of teaching the subject- Models of Teaching, Techniques of

individualising instruction.

♦ Curriculum - Definition, Principles, Modern trends and organizational approaches,

Curriculum reforms - NCF/KCF.

♦ Instructional resources- Laboratory, Library, Club, Museum- Visual and Audio-Visual

aids - Community based resources - e-resources - Text book, Work book and Hand book.

♦ Assessment; Evaluation- Concepts, Purpose, Types, Principles,

 Modern techniques - CCE and Grading- Tools and techniques -

 Qualities of a good test - Types of test items- Evaluation of projects,

 Seminars and Assignments - Achievement test, Diagnostic test –

 Construction, Characteristics, interpretation and remediation.

♦ Teacher - Qualities and Competencies - different roles - Personal

 Qualities - Essential teaching skills - Microteaching - Action research.

PART III

Module I 

Elementary Set Theory, Relations, Partial order, Equivalence relation, Functions, bijections,

Composition, inverse function, Quadratic equations –relation between roots and coefficients,

Mathematical induction, Permutation and combination.

Trigonometric Functions – Identities solution of triangles, heights and distances.

Geometry – Length and area of Polygons and circle.

Solids – Surface area and volume, Euler’s formula.

Module II

Theory of Numbers – divisibility, division algorithm, gcd, lcm. Relatively prime numbers (Coprimes), Fundamental Theorem of Arithmetic, congruences, solution of linear congruences, Fermat’s

Theorem.

Matrices – Addition, Multiplication, Transpose, Determinants, singular matrices, inverse,

symmetric, skew-symmetric, hermitian, skew-hermitian, Orthogonal matrices, normal form,

echelon form, rank of a matrix. Solution of system of linear equations. Eigenvalues, eigenvectors,

Cayley Hamilton Theorem.

Module III

Calculus - Limits, Continuity, Differentiability, Derivatives, Intermediate Value Theorem, Rolle’s

Theorem, Mean value Theorem, Taylor and Maclaurin’s series, L’Hospital’s rule. Partial

differentiation, homogeneous functions, Euler’s Formula. Applications of differentiation - maxima

and minima, critical points, concavity, points of inflection, asymptotes, Tangents and normals.

Integration – methods of integration, definite integrals – properties.

Fundamental theorem of calculus.

Applications of Integration – Area between curves, volume and area of revolution.

Double and Triple Integrals

Conic sections- Standard equations – Parabola, ellipse, hyperbola, Cartesian, Parametric and polar

forms.

Module IV

Bounded sets, infinum, supremum, order completeness, neighbourhood, interior, open sets, closed

sets, limit points, Bolzano Weierstrass Theorem, closed sets, dense sets, countable sets, uncountable

sets.

Sequences – convergence and divergence of sequences, monotonic sequences, subsequences.

Series – Convergence and divergence of series, absolute convergence, Canchy’s general principle of

convergence of series. The series ∑1/np

 .

Tests for convergence of series – comparison test, root test, ratio test. Continuity and uniform

continuity, Riemann integrals, properties, integrability.

Complex numbers, modulus, conjugates, polar form, nth roots of complex numbers. Functions of

complex variables – Elementary functions of complex variables, Analytic functions. Taylor series,

Laurent’s Series.

Module V

Vectors – Unit vector, collinear vectors, coplanar vectors, like and unlike vectors, orthogonal triads

(i, j, k) Dot product, cross product- properties. Vector differentiation- unit tangent vector, unit

normal vector, curvature, torsion, vector fields, scalar fields, gradient divergence, curl, directional

derivatives. Vector Integration – Line Integrals, conservative fields, Green’s Theorem, Surface

Integrals, Stoke’s Theorem, Divergence Theorem.

Differential Equations – Order and degree of differential equations. First order differential

equations- solution of Linear equations, separable equations and exact equations. 

Second order differential equations- Solution of homogeneous equations with constant coefficients –

various types non-homogeneous equations, solutions by undetermined coefficients.

Module VI

Data Representation: Raw Data, Classification and tabulation of data, Frequency tables, Contingency

tables; Diagrams – Bar diagrams, sub-divided bar diagrams, Pie diagrams, Graphs – Frequency

polygon, frequency curve, Ogives.

Descriptive Statistics: Percentiles, Deciles, Quartiles, Arithmetic Mean, Median, Mode, Geometric

Mean and Harmonic Mean; Range, Mean deviation, Variance, Standard deviation, Quartile

deviation; Relative measures of dispersion – Coefficient of variation; Moments, Skewness and

Kurtosis – Measures of Skewness and Kurtosis.

Probability: Random Experiment, Sample space, Events, Type of Events, Independence of events;

Definitions of probability, Addition theorem, Conditional probability, Multiplication theorem,

Baye’s theorem.

Module VII

Random variables and probability distributions: Random variables, Mathematical Expectation,

Definitions and properties of probability mass function, probability density function and distribution

function. Independence of random variables; Moment generating function; Standard distributions –

Uniform, Binomial, Poisson and Normal distribution.

Bivariate distribution: Joint distribution of two random variables, marginal and conditional

distributions.

Correlation and regression: Scatter Diagram, Karl Pearson’s Correlation Coefficient, Spearman’s

rank correlation coefficient. Principle of least squares – curve fitting – Simple linear regression.

Module VIII

Random Sampling Methods: Sampling and Census, Sampling and Non-sampling errors, Simple

random sampling, Systematic sampling, Stratified sampling.

Sampling distributions: Parameter and statistic; Standard error, sampling distributions – normal, t, F,

Chi square distributions; Central limit theorem. Estimates, Desirable properties of estimate –

Unbiasedness, consistency, sufficiency and efficiency.

Testing of hypothesis (basic concepts only) - Simple and composite hypotheses, null and alternate

hypotheses, Type I error, Type II error, Level of significance, Power of a test.

NOTE: - It may be noted that apart from the topics detailed above,

questions from other topics prescribed for the educational qualification of

the post may also appear in the question paper. There is no undertaking

that all the topics above may be covered in the question paper

DETAILED SYLLABUS FOR THE POST OF LAB ASSISTANT IN APEX SOCIETIES OF CO-OPERATIVE SECTOR IN KERALA /MATSYAFED (Category Nos.: 235/2020, 236/2020, 237/2020) 1. Fish Biochemistry and Nutritional Value - composition of fishmoisture, proteins, lipids, minerals, vitamins and non-protein nitrogen components. Nutritive value of fish – essential amino acids, essential fatty acids, polyunsaturated fatty acids, squalene, peptides, collagen. Vitamins in fish – water soluble and fat soluble- minerals of nutritive importance- macro elements – trace elements. Fish muscle – structure – protein denaturation – changes during heat processing (10 Marks) 2. Fish Spoilage - Post-mortem changes in fish–rigor mortis- autolysis, enzymatic spoilage, microbial spoilage, spoilage process - rancidityflavour changes. Freshness quality characteristics of fish – physicalchemical- microbial quality -Spoilage indices (10 Marks) 3

. Fish Preservation - Traditional fish preservation techniques- curingdrying, salting, smoking,marinating, fermenting. Modern fish preservation techniques – chilling, freezing,canning, accelerated freeze drying, irradiation. (10 Marks) 4. Chilling of Fish – principles of low temperature preservation. Chilling methods- icing, refrigerated seawater system, chilled sea water system, refrigerated fish rooms, quality standards of ice - icing practices – types of ice – spoilage in chilled fish. (10 Marks) 5. Freezing of Fish – principles of freezing – methods of freezing - types of freezing- slow freezing – quick freezing – individual quick freezing – immersion freezing – air blast freezing – quality changes in frozen fish – dehydration – fat oxidation– drip loss- frozen storage – transportation of frozen fish- cold chain. (10 Marks) 6. Canning – principle of canning – thermal death time- canning processtypes of can – seaming –retortable pouches - spoilage in canned fishbotulism (10 Marks) 

 7. Fish Packaging – principles of fish packaging - packaging materials – properties – flexible packaging materials – biodegradable packaging materials – vacuum packaging – modified atmosphere packaging - labelling – standards of packaging materials (10 Marks) 8. Fishery By products- fish meal, fish oil, fish hydrolysate, fish protein concentrate, fish ensilage, isinglass, fish paste, fish pickles, value added fish products battered &breading – fish wafers, surimi and surimi based value added products. Shrimp shell products- chitin- chitosan, glucosamine hydrochloride, seaweed products. (10 Marks) 9. Quality Control in Fish – organoleptic quality assessment- snsory, biochemical and microbial quality evaluation – spoilage bacteria and pathogenic bacteria – quality standards of fish and fishery products.Additives in fish- adulterants and prohibited chemicals. (10 Marks) 10. Handling of Fish onboard Fishing Vessels- landing centres, transportation, sanitation in fishing vessels, landing centres, processing centres. Standard sanitary operating practices, good manufacturing practices, traceability, HACCP, seafood safety standards, role of FSSAI. (10 Marks) ******** NOTE: - It may be noted that apart from the topics detailed above, questions from other topics prescribed for the educational qualification of the post may also appear in the question paper. There is no undertaking that all the topics above may be covered in the question paper

DETAILED SYLLABUS FOR THE POST OF OPERATOR GRADE III IN APES SOCIETIES OF CO-OPERATIVE SECTOR IN KERALA/ KERALA STATE CO-OPERATIVE FEDERATION FOR FISHERIES DEVELOPMENT LIMITED(MATSYAFED) (Category No. 241/2020, 242/2020) FITTER MODULE – I (10 Marks) Safety - Importance of safety, general safety, personal safety, machine safety precautions. Personal protective equipments and its applications. First Aid - Importance of first aid, basic first aid, ABC of first aid,aim of firstaid, methods of giving first aid to the victim. Fire – Fire triangle, class of fire, fire extinguisher, type of fire extinguisher, fire extinguisher recommended for each class of fire. Handling of waste material – Waste material, list of waste material,methods of waste disposal. Shop floor maintenance – Benefits of shop floor maintenance, introductionto 5 S concept, its applications and benefits. MODULE – II (10 Marks) Units – Units of linear and angular measurements, 

SI, CGS, MKS, FPS units,fundamental units and supplementary units, Unit conversions. Linear measuring tools – outside calliper, inside calliper, steel rule, depth gauge, vernier calliper, vernier height gauge, micrometers – constructional features, working principle, least count, applications, care and maintenance Angular measuring tools – bevel gauge, universal bevel gauge, bevel protractor, combination set, vernier bevel protractor – constructional features, working principle, least count, applications, care and maintenance. Sine bar, slip gauge and dial test indicator – constructional features, working principle, applications, care and maintenance. MODULE – III (10 Marks) Hand tools – File, hack saw & blade, chisel, punch, hammer, jenny calliper, divider, tap & tap wrench, die & die stock, drill bit, reamer, scriber – type, use, constructional features, specifications, care and maintenance. 

Gauges – Feeler gauge, SWG, screw pitch gauge, snap gauges, limit gauges, radius gauge, telescopic gauge, small hole gauge – use, constructional features, care and maintenance. Marking media – White wash, Prussian blue, copper sulphate, cellulose lacquer – type, applications, preparation, advantages & disadvantages. Holding and Supporting devices – Bench vice, machine vice, pipe vice, hand vice, pin vice, tool makers vice, V-block, parallel block, surface plate, angle plate, marking off table – type, use, constructional features, specifications, care and maintenance. MODULE – IV (10 Marks) Engineering materials – metals & non metals Metals – ferrous metals – pig iron, wrought iron, cast iron, plane carbon steel – ore, manufacturing process, properties, uses, melting points. Non ferrous metals – copper, aluminium, tin, led, zinc – ore, manufacturing process, properties, uses, melting points. Furnaces – cupola furnace, blast furnace – other making process of metals. Heat treatment process – hardening, tempering, annealing, normalizing, case hardening – process, applications, important temperatures points. Importance of safety and general precautions observed in welding shop Welding – principle of welding, types of welding – forge welding, arc welding, Gas welding , method of operation, tools and equipments used for welding – arc Welding equipments, gas welding plant, gases used in gas welding, types of Flames, types of joints in welding. Soldering – Soldering iron – type, specification, uses, Solder – soft solder, hard solder, composition of various type of solder and their applications, Heating media of soldering iron, flux type, selection and applications Rivets – Type, size and selection for various works, method of riveting MECHANICAL MODULE – V (10 Marks) Introduction to Engine: Description of internal &external combustion Engines, Classification of IC engines, Principle & working of 2&4-stroke diesel engine, compression ignition Engine (C.I), Principle of Spark Ignition Engine(SI), Differentiate between 2-Stroke and 

4 stroke, C.I Engine and S.I Engine Petrol Engine Basics: 4-stroke spark-ignition Engines- Basic 4-stroke Principles. Sparkignition Engine components- Basic Engine components, Engine Cams & camshaft, Engine Power transfer, Scavenging, Counter weights, Piston Components. Intake & exhaust systems –Electronic fuel injection Systems, Exhaust systems. Intake system components, Air cleaners, Carburettor air Cleaners, EFI air cleaners, Intake manifolds, Intake air Heating. Gasoline Fuel Systems:Description of Gasoline fuel, Gasoline fuel characteristics, Controlling fuel burn, Stoichiometric ratio, Air, density, Fuel supply system MODULE – VI (10 Marks) Power Transmission – Belt drive, chain drive, gear drive Belt drive – types of belt, size, specification, material, selection of type of belt, advantages and disadvantages of belt drive, calculation of length of belt and slip. Chain drive – Types of chain, types of sprocket, specification of chain and sprocket, advantages and disadvantages of chain drive. Gear drive – Type of gear, parts of gear, type of gear drives, specifications, advantages and disadvantages of gear drive, calculation of gear drive. Other elements in power transmission – pulleys, shaft, bearing, clutches, keys, pins – type, specification, uses. Lubrications – methods of lubrication, lubricants used, method of application, uses. MODULE – VII (10 Marks) Limit, Fit, Tolerance – interchangeability, necessity in engineering field, definition BIS, definition and type of limit, terminology of limits and fits, basic size, actual size, deviation, high and low limits of size, zero line, tolerance zone. Different standard systems of fits and limits, British standard systems, BIS systems. Methods of expressing tolerance as per BIS. Fit – definition, type – clearance, transition, interference – 

description of each. Limit systems – hole basis and shaft basis systems. Fundamental deviations and fundamental tolerance. Thread – Types of thread, features of thread, applications of thread, thread cutting operations. ELECTRICAL MODULE – VIII (10 Marks) Fundamentals of electricity, definitions, units & effects of electric current. Conductors and insulators. Conducting materials and their comparison. MODULE – IX (10 Marks) Ohm’s Law; Simple electrical circuits and problems-Kirchoff’s Laws and applications. Series and parallel circuits - Open and short circuits in series and parallel networks Laws of Resistance and various types of resistors.- Wheatstone bridge; principle and its applications. Effect of variation of temperature on resistance. Different methods of measuring the values of resistance. Series and parallel combinations of resistors. MODULE – X (10 Marks) Conventional and nonconventional sources of energy and their comparison. Power generation by thermal and hydel power plants Various ways of electrical power generation by non-conventional methods. Power generation by solar and wind energy. Principle and operation of solar panel. NOTE: - It may be noted that apart from the topics detailed above, questions from other topics prescribed for the educational qualification of the post may also appear in the question paper. There is no undertaking that all the topics above may be covered in the question paper *****************