TAMIL NADU PUBLIC SERVICE COMMISSION

NOTIFICATION NO: 2/2016 ADVERTISEMENT NO.: 429/2016

DATED: 12.02.2016

Applications are invited only through online mode upto 14.03.2016 for Direct Recruitment to the vacancies in the following post:-

Candidates have to Register their basic particulars through One - Time Registration which is mandatory on payment of Rs.50/- towards registration fee.

1. DISTRIBUTION OF VACANCIES:-

   Rule of reservation of appointment applies to this post and the distribution of vacancies is as follows:-

   Category	G	W	G - PSTM	W - PSTM	DW	Ex - Ser	Ex-PSTM	G - BLIND	G- ORTHO	W-ORTHO	G - DEAF	W - DEAF	Total Vacancies
   GT	28	10	7	3	1	2	--	--	--	1	--	--	52
   BC	23	10	7	2	1	1	1	--	1	--	--	1	47
   BC(M)	3	2	1	--	--	--	--	--	--	--	--	--	6
   MBC/ DC	17	7	5	2	1	1	--	--	--	-	1	--	34
   SC	12	6	3	2	--	2	--	1	--	-	--	--	26
   SC(A)	3	1	--	1	--	--	--	--	--	-	--	--	5
   ST	1	--	1	--	--	--	--	--	--	-	--	--	2
   Total	87	36	24	10	3	6	1	1	1	1	1	1	172

   Abbreviation:-

   GT-General Turn, BC -Backward Class, BCM -Backward Class Muslim, MBC/DC - Most Backward Class/ Denotified Community, SC - Scheduled Caste, SC(A) - Scheduled Caste (Arunthathiyars), ST - Scheduled Tribe, G - General, W - Women, PSTM- Persons Studied in Tamil Medium, DW - Destitute Widow, Ex-Ser - Ex-Servicemen.

   Unfilled vacancies if any arises in the previous recruitment will be added in this recruitment.

2. FEES:-

   One - Time Registration fee	Examination fee
   Rs.50/-	Rs.100/-

   Candidates who have already registered in one time Registration System it is enough to pay the Examination Fee.

   2

   EXAMINATION FEE CONCESSION:-

   Category	Concession	Condition
   Scheduled castes / Scheduled Caste (Arunthathiyars)	Full Exemption	--
   Scheduled Tribes	Full Exemption	--
   Most Backward Class / Denotified Communities	Three free Chances	For Degree Holders
   Backward Classes(Other than Muslim) / Backward Classes (Muslim)	Three free Chances	For Degree Holders
   Ex-Servicemen	Two free Chances	Minimum General Educational Qualification
   Differently Abled Persons	Full Exemption	--
   Destitute Widow	Full Exemption	--

   • The three / two free chances allowed are not for EACH POST but for ANY THREE /TWO APPLICATIONS ONLY. The claim for exemption from payment of fee made in any application which is rejected / admitted or withdrawn will be counted as a free chance. (Further details regarding Fee Concession is mentioned at para 12 of Instructions to the Candidates)

1. IMPORTANT DATES:-

   A	Date of Notification			12.02 .2016
   B	Last date for submission of applications			14.03.2016
   C	Last date for payment of Fee			16.03.2016
   Date and Time of Written Examination
   D	Paper - I (Subject of Examination)	05.06. 2016 FN	10.00 A.M. to 01.00 P.M.
   	Paper - II (General Studies)	05.06.2016 AN	02.30 P.M. to 04.30 P.M.

2. QUALIFICATIONS:-

   (A) AGE (as on 01.07.2016)

   Sl. No.	Category of Candidates	Minimum Age (Should have completed)	Maximum Age
   1	SCs, SC(A)s, STs, MBCs/DCs, BCs (OBCM)s, BCMs and DWs of all castes	18 Years	No Maximum Age Limit
   2	Others [i.e. Candidates not belonging to SCs, SC(A)s, STs, MBCs/DCs, BCs and BCMs]	18 Years	30 Years (Should not have completed)

   Note:-

   3

   Others [i.e. Candidates not belonging to SCs, SC(A)s, STs, MBCs/DCs, BCs and BCMs] who have put in 5 years and more of service in the State / Central Government are not eligible even if they are within the age limit.

   1. EDUCATIONAL QUALIFICATION: (as on 12.02.2016) :-

      Candidates should possess the following or its equivalent qualification on the date of this Notification.

      A Second Class degree in Mathematics with Statistics as an ancillary subject.

      (OR)

      A Second Class degree in Statistics with Mathematics as an ancillary subject.

      Other things being equal preference shall be given to persons with experience* in Collection and Compilation of statistics for a period of not less than 3 years.

      Note:-

      * The certificates for having the above experience issued by the various departments of state and central Governments and related public sector undertakings, Educational and Research Institutions and autonomous institutions obtained from the Principal / Head of the Department / Dean.

      1. The prescribed UG Degree qualification should have been obtained in the order of S.S.L.C., H.Sc/. Diploma or its equivalent and U.G. Degree respectively.

      2. Candidates claiming equivalence of qualification to the prescribed qualification should furnish evidence for such claim in the form of Government Order (G.O.) issued prior to the date of this Notification. The G.O. issued after the date of Notification will not be accepted. (Refer also to the disclaimer annexed to the notification).

         (Further details are at paragraph 10 of the Instructions to the Candidates)

         C) KNOWLEDGE OF TAMIL :-

         Candidates should possess adequate knowledge of Tamil on the date of this Notification

         (Further details are at para 11 of the Instructions to the candidates')

         4

3. SCHEME OF EXAMINATION (OBJECTIVE TYPE) AND ORAL TEST (OMR METHOD):-

   Subject	Duration	Maximum Marks	Minimum Qualifying Marks for selection
   			SCs, SC(A)s, STs, MBCs/DCs, BCs and BCMs	Others
   3 hours 2 hours	300 200 70	171	228
   Total	570

   1. Paper-I (200 questions) (Degree Standard) One of the following Subjects

      1. Statistics Code No.111)

      2. Mathematics (Code No. 073)

   2. Paper-II (100 questions)

      Note:

      1. The candidates should opt only the subject in which they have obtained the degree.

      2. The question paper in Paper - I & Paper-II will be set both in English and Tamil.

      3. The syllabi for Paper - I & Paper-II have been furnished in Annexure-IIA & IIB to this Notification and also available in the Commissions Website www.tnpsc.gov.in.

      Note:-

      1. To use either blue or black ink Ball Point pen only.

      2. Answer sheet will be invalidated if shaded in pencil.

      3. The answer sheet will be invalidated if the box provided for booklet series mentioned in the Question Paper is not shaded / incorrectly shaded.

      4. Answer sheet answered in a subject other than the subject opted by the candidates in his application / specified in the Hall Ticket will be invalidated.

      5. Each one mark will be deducted for incorrect or absence of shading Register Number.

      6. CENTRES FOR EXAMINATION:-

         Examination will be held at the following 9 centres.

         Sl. No.	Name of the Centre	Centre Code	Sl. No.	Name of the Centre	Centre Code	Sl. No.	Name of the Centre	Centre Code
         1.	Chennai	0100	4.	Salem	1700	7.	Tirunelveli	2600
         2.	Coimbatore	0200	5.	Thanjavur	1900	8.	Vellore	2700
         3.	Madurai	1000	6.	Tiruchirappalli	2500	9.	Villupuram	2800

         Note:-

         5

         1. Candidates will be required to appear for the Examination/ Certificate verification and Counselling at their own expenses.

            1. Request for change of centre will not be complied with.

            2. The Commission reserves the right to increase / decrease the number of Examination Centres and to re-allot the candidates.

      1. MODE OF PAYMENT OF EXAMINATION FEE:-

         • Examination fee Rs.100/- (Rupees One Hundred only)

         • Candidates have to register their basic particulars through One-Time Registration which is mandatory on payment of Rs.50/- towards registration fee. The registration shall be valid for a period of five years from the date of one-time registration.

         • Candidates should also to pay the service charges applicable to the Bank (State Bank of India/Indian Bank).

         • Candidates can avail exemption from paying Examination Fees as per eligibility criteria.

         • Offline mode of payment in the form of DD/Postal Order etc., will not be accepted and the applications forwarded with such modes of payment will be summarily rejected.

         • Those who have already registered in the one time registration system and paid the registration fee of Rs.50/- and received the registration ID need not pay the application fee i.e. Rs.50/- . It is enough to pay the Examination Fee of Rs.100/- alone.

         • Candidates who have made one Time Registration must apply for this post also. one Time Registration is only to avail exemption for application fee for a period of 5 years from the date of registration.

      2. PROCEDURE OF SELECTION:-

         Selection will be made in two successive stages i.e., (i) Written Examination and (ii) Oral Test in the form of an interview. Final selection will be made on the basis of total marks obtained by the candidates at the Written Examination and Oral Test taken together and subject to the rule of reservation of appointments. Appearance in both the papers of the Written Examination and Oral Test is compulsory. A candidate who has not appeared in any one of the papers in Written Examination or Oral Test will not be considered for selection, even if he/she secures qualifying marks in the Written Examination or Oral Test.

         (Further details are at paragraph 23(b) of the Instructions to the candidates).

      3. NO OBJECTION CERTIFICATE:-

         For details refer para 15 (g) of the Commissions Instructions to the candidates. Any violation of the instructions will be liable for or end in rejection of his / her candidature.

         6

      4. CONCESSIONS:-

         Concessions in the matter of age and / or fees allowed to SCs, SC(A)s, STs, MBCs/DCs, BCs, BCMs, Destitute Widows, Ex-servicemen and Differently Abled persons, other categories of persons etc. are given in paragraphs 12 to 14 of the 'Instructions to the candidates'.

      5. HOW TO APPLY:

         Click here www.tnpscexams.net / www.tnpscexams.in

      6. GENERAL INFORMATION:-

         1. The rule of reservation of appointments applies to this post.

         2. In G.O. Ms. No. 145, Personnel and Administrative Reforms (S) Department, dated 30.09.2010, the Government have issued orders to fill up 20% of all vacancies to be filled by direct recruitment shall be set apart on preferential basis to persons studied the above prescribed qualification in Tamil Medium. The 20% reservation of vacancies on preferential allotment to Persons Studied in Tamil Medium (PSTM) will apply for this recruitment. The turns for PSTM has been ordered in G.O. Ms. No. 40, Personnel and Administrative Reforms (S) Department, dated 30.04.2014. (Candidates claiming this reservation should have studied the above prescribed qualification for the post in Tamil Medium and should have the certificate for the same. Having written the examinations in Tamil language alone will not qualify for claiming this reservation). If the candidates with PSTM are not available for selection for appointment against reserved turn such turn shall be filled up by Non- PSTM candidates but belonging to the respective communal category.

            (Further details are at para 29 (xix) of the Instructions to candidates)

         3. The number of vacancies advertised is only approximate and is liable for modification including reduction with reference to the vacancy position at any time before finalisation of selection.

         4. If no qualified and suitable women candidates are available for selection against the vacancies reserved for them, those vacancies will be filled by male candidates belonging to the respective communal categories.

         5. As per G.O. No. 99, Personnel and Administrative Reforms Department Dated 26.02.1988, 3% reservation to Differently Abled persons will apply for this recruitment. If no suitable Differently Abled Persons belonging to a particular Differently Abled Category is available for selection against the vacancies reserved for them, it will be filled as per rule in force.

            The Differently Abled person when comes up for selection will be required to produce a certificate of physical fitness from the Medical Board to the effect that his/her handicap will not render him/her incapable of efficiently discharging the duties attached to this post to which he/she has been selected before appointment. Percentage of disability should be specifically mentioned.

            (Further details are at paragraph 14(f) of the Instructions to the candidates.)

            7

         6. CERTIFICATE OF PHYSICAL FITNESS:-

            Candidates selected for appointment to the post will be required to produce a certificate of physical fitness in the form prescribed below:

            Form of Certificate of Physical Fitness	Standard of Vision Prescribed
            Form prescribed for other than Executive and Ministerial posts	Standard-III or Better

            Candidates with defective vision should produce Eye Fitness Certificate from a qualified Eye Specialist.

         7. As per G.O.Ms.No.32, Personnel and Administrative Reforms (S) Department, Dated 22.03.2013, reservation to Destitute Widows will apply for this recruitment. 10% of vacancies set apart for Women candidates in direct recruitment are reserved for Destitute Widows who possess the prescribed Qualification for this recruitment. If no suitable Destitute Widows belonging to a particular category is available for selection against the vacancies reserved for them, it will be filled as per rule in force.

         8. As per G.O.Ms.No.18, Personnel and Administrative Reforms (S) Department, Dated 22.01.2007, reservation to Ex-Servicemen will apply for the said post. 5% of vacancies for Ex-Servicemen will apply for this recruitment. If no qualified and suitable Ex-Servicemen belonging to a particular category is available for selection for appointment against reserved turn, such turn shall be filled up by a candidate other than Ex-Servicemen but belonging to the particular communal category.

            1. Even after filling up of the post reserved for SC Arunthathiyars on preferential basis, if more number of qualified Arunthathiyars are available, they shall be entitled to compete with the Scheduled Castes other than Arunthathiyars in the inter-se merit among them and if any posts reserved for Arunthathiyars remain unfilled for want of adequate number of qualified candidates, it shall be filled up by Scheduled Castes other than Arunthathiyars.

            2. Any claim relating to the selection (not related to candidature or / and claims made in the application) should be sent when called for documents / uploading document is made. Any claim received thereafter will not be entertained.

            3. Correct and true information regarding arrest, convictions/debarment/disqualification by any recruiting agency, criminal or any disciplinary proceedings initiated or finalised, participation in agitation or any Political Organization, candidature in election for Parliament/State Legislature/Local Bodies etc., if any, should be furnished to the Commission at the time of application i.e. the details thereof, originals of the Judgement of Acquittals, order/ or G.O. dropping further action in Departmental proceedings or any document that may prove the suitability of such candidates for a Government appointment in such cases must be produced at the stage/ time of Certificate Verification without fail.

               8

            4. The selection for appointment to the above said post is purely provisional subject to final Orders on pending Writ Petitions, if any, filed in Madras High Court and Madurai Bench of Madras High court.

            5. Applications containing wrong claims relating to other basic qualifications / communal categories / eligibility criteria / age / educational qualification will be liable for rejection.

      7. OTHER IMPORTANT INSTRUCTIONS:-

      1. Candidates should ensure their eligibility for examination:

         The candidates applying for the examination should ensure that they fulfil all eligibility conditions for admission to examination. Their admission to all stages of the examination will be purely provisional subject to satisfying of the eligibility conditions. Mere issue of memo of admission to the candidate will not imply that his/her candidature has been fully cleared by the Commission.

      2. The Hall Tickets for eligible candidates will be made available in the Commissions website www.tnpsc.gov.in or www.tnpscexams.net for downloading by candidates. No Hall Tickets will be sent by post. So the candidates / applicants should watch Tamil Nadu Public Service Commission website since ahead/ before the scheduled date of examinations.

      3. Facilitation Counter for guidance of candidates:

         In case of any guidance/ information / clarification of their applications, candidature, etc. candidates can contact Tamil Nadu Public Service Commissions Office in person or over Telephone No.044- 25332833/ 25332855 or the Commissions Office Toll-Free No.1800 425 1002 on all working days between 10.00 a.m. and 05.45 p.m.

      4. Mobile phones and other articles banned:-

         i. Candidates are not allowed to bring to the venue of the Examination Cellular phone, Calculator, memory notes and books etc. or any other Electronic device or Recording device either as separate piece or part of something used by the candidate such as Watch or Ring.

         ii If they are found to be in possession of any such thing or instrument they will not be allowed to attend the examination further, besides invalidation of answer paper and / or debarment. If it is considered necessary they will be subjected to thorough physical search including frisking on the spot.

         iii. Do not bring into the Examination Hall any article such as books, notes, loose sheets, mathematical and drawing instruments, Log Tables, stencils of maps, slide rules, Text Books, rough sheets etc. except the permitted writing material i.e. pen. No colour pen or pencil must be used.

         9

      5. Candidates are not required to submit along with their application any certificates in support of their claims regarding age, educational qualifications, community certificates and certificates regarding their physical disability, etc., They should be submitted when called for by the Tamil Nadu Public Service Commission. The candidates applying for the examination should ensure that they fulfil all the eligibility conditions for admission to the examination. Their admission at all the stages of examination for which they are admitted by the Commission viz. Written Examination will be purely provisional, subject to their satisfying the prescribed eligibility conditions. If on verification at any time before or after the Written Examination and Certificate Verification, it is found that they do not fulfil any of the eligibility conditions their candidature for the examination will be cancelled by the Commission.

      6. If any of their claims is found to be incorrect, or false it will lead to rejection / debarment

      7. Unfair means strictly prohibited:

         No candidate shall copy from any other candidate nor permit to be copied nor give nor attempt to give nor obtain nor attempt to obtain irregular assistance of any description.

      8. Conduct in examination hall:

         No candidate should misbehave in any manner or create a disorderly scene in the examination hall or harass the staff employed by the Commission for the conduct of the examination. Any such misconduct will be severely viewed and penalized.

      The on-line application can be submitted upto 14.03.2016 till 11.59 p.m., after which the link will be disabled.

      (For detailed information the candidates may refer Commissions Instructions to the candidates at the Commissions website www.tnpsc.gov.in )

      Secretary

      10

      DISCLAIMER

      The candidates claiming Equivalence of qualification should furnish the equivalence of qualification in the form of Government order, if any, while applying for the examination and produce the same when called for by the Tamil Nadu Public Service Commission.

      Secretary

      Statistics

      DEGREE STANDARD

      ANNEXURE- IIA

      Page 1

      UNIT I

      Uses, Scope and lidmitation of Statistics, Collection Classification and tabulation of data, Diagramatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis.

      UNIT II

      Probability - Addition, multiplication and Bay's Theorems and their application. Tchebychev's inequality. Random variables - Univariate and Bivariate - probability distributions - Marginal and conditional distributions - Expectations - Moments and cumulants genevating fucntions Discrete distributions - Binomial, poisson, Geometric and Hypergeometric. Continuos distributions - Uniform, exponential and normal.

      UNIT III

      Curve Fitting - Linear and Quadratic equation by the method of least squares. Correlation and regression.

      UNIT IV

      Population and sample - Parameter and statistic, sampling distributions and standard error, student's 't' Chi-square and F statistic - distributions and their applications.

      UNIT V

      Estimation - Point estimation - properties of estimates Neyman - Fisher Factorization theorem(without proof) Cramer - Rao inequality, Rao - Blackwell theorem - MLE and method of Moments estimation - Interval estimation - for population mean and variance based on small and large samples.

      UNIT VI

      Tests of Hypothesis - Null and Alternative - Types of errors _ Power of test, Neyman - Pearson lemma, UMP and Likelihood ratio tests, Test procedures for large and small samples - Independence of attributes, Chi-square test - Goodness of fit.

      UNIT VII

      Simple random sample - stratified, systematic, Cluster (Single stage) Estimation of mean and variance in SKS - Sample Survey - Organisation - CSO and NSSO - Sampling and Non-Sampling errors.

      UNIT VIII

      Analysis of Variance - Principles of design CRD, Rbd and LSD - Factorial experiments 22, 23 and 32 (Without confounding) Missing plot techniques.

      UNIT IX

      Concept of SQC - Control Charts - X,R, p and C-Charts Acceptance sampling plan - single and double - oc curves Attributes and Variables plan, Reliability.

      UNIT X

      Time series - Different Components - Trend and Seasonal Variations - Determination and elimination.

      UNIT - XI

      Index Numbers - Construction and uses - Different kinds of simple and weighted index numbers - Reversal tests - construction and use of cost of living index numbers.

      UNIT-XII

      OR Models - Linear Programming problems - Simples method Dual - Primal, Assignment problems, Net work - CPM and PERT.

      Page 2

      Statistics

      UNIT XIII

      Basic programming - variables, constants and strings, flow charts - Basic expression and control statements, standard Library functions, subscripted variables DIM and DATA statements simple programming problems. Birth and death rates - Crude and standard death rates, Fertility rates - Life table construction and uses.

      ANNEXURE- IIA

      Mathematics

      DEGREE STANDARD

      UNIT I

      Basic Mathematics:

      Binomial, Exponential, Logrithmic series, summation of infinite series and approximation promblems. L Hospitals' rule, point wise convergence of sequence of functions, uniform convergence of sequences of funcitons, Consequences of Uniform convergence, Taylor's series.

      Theory of numbers :

      Prime and Composite numbers - Decomposition of composite number, Divisor of N, Euler function (N), Highest power of prime p contained in N. Divisibility of the product of r consecutive integers by r!

      Format's & Wilson's Theorems.

      Vector Spaces & Inner product spaces :

      Definitions and euqation of Vector space, subspace, liner Independence - bases - Dimension, Dual spaces, Inner products Spaces Orthogonality - Orthogonal complement.

      UNIT II

      ANALYTICAL GEOMETRY:

      Pairs of Straight lines - Angle between them - related problems - conditions for second degree equation to represent pair of straight line or Circle - System of Circles - Orthogonal and Coaxial system - Radical axis and radical centre - Limiting point - conics - parabola, ellipse and hyperbola - polar equations to straight line, circle and conic.

      Dimensions :

      Equation of a sphere with given centre and radius - General form of the euqation of a sphere - Diameter from - Circular section, tangent plane to a sphere - Radical plane - Coaxial system of spheres - Orthogonality - Equation of a Cone with its Vertex at the origin - Equation of a quadratic cone with given vertix and given guiding curve - necessary and sufficient condition for a general second degree equation to represent a cone, right circular cone - euqation of enveloping cone - general equation of a cylider - right circular cylinder.

      UNIT III CALCULUS:

      Differential:-

      Higher order derivatives Leibnitz's theorem - simple problems using the above theorem. Maxima and Minima - conditions for external value - Standard function only - curvature - radius of curvature (Cartesian Co-ordinates only)

      Partial Differentiation:

      Total differentiation Coefficieng, Valvue of dy/dx and d2y/dx2 in case of implicit functions in x and y in terms of partial derivatives, Total differential, Jacobians.

      Integral:

      Methods of integration, Integration of rational and irrational algebraic functions, Bernaulli's formula for Integration by parts, reduction formulae - properties of difinite Integrals.

      Evaluation of double and triple integrals, change of order of integration, Double Integrals in polar Co- ordinates, application of double & triple Integrals to area, volume. Evaluation of Define integrals using Beta and gamma functions.

      UNIT IV STATICS:

      Gradient, Divergence, Curl, solenoidal & irrotational vectors, Directional derivative, Unit vector normal to a surface, tangent and normal planes to a surface 2, expansion formulea, Ordinary integrals of Vectors, line integrals, surface intergrals and volume Integrals. Gass stock, Green's theorems.

      Parallelogram and Triangle laws of force, Lamis theorem, parallel forces, moments, couples, three forces acting on a rigid body, conditons for equiliburium of Co-planar forces.

      Forces in 3 dimensions, Invariance of F2, Friction, Centre of Gravity, method of symmetry for uniformbodies like thin rod, thin parallelogram, Circular ring & lamina triangular lamina, trapezium lamina.

      UNIT V

      REAL ANALYSIS:

      Set and functions, sequences of real numbers - Definition, Limit, Convergent and divergent sequences, bounded sequences, monotonice sequence, series of real numbers, limit superior, Limit inferior, Cauchy, Sequence, convergent & divergent sequence, series with non-negative terms, alternating series.

      Series of real numbers:

      rearrangement of series, Tests of absolute Covergence. Limits & matric spaces:

      Limit of a function on the real line, matric spaces, limits in matric spaces. Continuous functions on matric spaces, functions continuous at a point on the real line, reformulation, function continious on a matric space, open sets, closed sets, Discontinuous functions on 'R' Connectedness, Complexness and Compactness.

      UNIT VI

      OPERATIONS RESEARCH AND LINER PROGRAMMING:

      Origin and development of O.R. - Nature and characteristics of O.R. Models in O.R. General solutions, methods for O.R. models - uses and limitations of O.R.

      Linear Programming:

      Formulation of problems, Graphical solution - standard form. Definition of basic solution. degenerate Simplex method, Definition of artifical variable.

      Tranportation problem:

      Definition solutions to transport problem - intial feasible solution - optimality test - Degenerary - Travelling sales man problem

      Sequencing:

      Processing n jobs through m machines.

      UNIT VII ALGEBRA:

      Set theory - Relations - types of relations - Venn diagram - Groups - Sub group - order of an element

      - cyclic groups - normal groups-quotient groups - order of a Group Lagrange's theorem - homomorphism, automorphims, Cayley's theorm of permutation groups.

      Rings:

      Definition, examples - special classes of rings - Homomorphism, ideals and quotient rings - field of quotients of an integral domain - Euclidean rings.

      Matrices:

      Types of matrices - operation on matrices, singular and non singular matrices - Rank of a matrix and consistence of equation, eigen values & eigen vectors. Cayley - Hamilton theorem. Similar matrices, Diagonalisation of a matrix.

      UNIT VIII

      DIFFERENTIAL GEOMETRY:

      Curvature, Radius and centre of curvature in Cartesian Co-ordinates, Evalute - curvature in Polar Co- ordinates, p-r equations, Angle between radius vector and tangent, Angle of intersection of two curves. Pedal equation of a curve, Envelopes, Asymptotes.

      Polar Co-ordinates :

      Equations of straight line, Circle in polars - equations of tangent, normal & polar Equations of Conics in polars - equations of tangent, normal, polar & asymptotes.

      UNIT IX

      DIRRERENTIAL EQUATIONS:

      Ordinary differential equations - first order but not of first degree. Total differntial equation Pdx + Qdy

      + Rdz = 0, second order differential equations with constant Co-efficients. P.I. for the polynomials and eaxv, where V is Xn, Cos mx, Sin mx, n and m are constants. Differential equations of second order with variable Co-efficients. Partial differential equations - formation of partial differential equations by elimination - Laplace transforms - Inverse laplace transform.

      UNIT X

      Dynamics:

      Virtual displacement, Principle of Virtual work. Kinematic:

      Velocity, Acceleration, components of velocity and acceleration work power, energy, Ractilinear motion

      - motion with constant acceleration - motion under gravity - motion along an inclined plane, motion under gravity in a resisting medium.

      Implusive forces and Impact:

      Implusive forces and Impact, Principles of Conservation of linear momentum, Collison of two smooth spheres - Direct impact of sphere on a fixed plane.

      Projectiles: Two dimensions motion of a particle - projectile, range on a horizontal plane - range on an inclined plane.

      Circular motion of a particle:

      Motion of a particle constrained to move along a smooth verticle circle under gravity - circular pendulum - simpel pendulum.

      Moments of Inertia:

      Momentsof Inertia of simple bodies of paralle and perpendicular axed theorem. Motion of a rigid body about a fixed axis.

      UNIT XI STATISTICS:

      Frequency distributions - Graphs of frequency distribution, measures of central tendency, measures of dispresion, normal probability curve, skewness, kur tosis, Probability - Addition and multiplicaiton theorem. Baye's theorem.

      Probability Distributions :

      Binomial, Poisson, Normal Bivariate data, Curve fitting - Method of least squares. Correlation and regression Coefficient - Regression lines - rank Correlation. Test of hypothesis - uses of X2 - F tests - Tests involving means - Variances and proportions test of fit, test of independence in contingency table.

      ANNEXURE - II B

      All TECHNICAL POST MAIN EXAMINATION

      General Studies Degree / P.G Degree StandardTd

      Topics for Objective Type

      UnitI General science :

      Physics UniverseGeneral Scientific lawsScientific instrumentsInventions and discoveriesNational scientific laboratoriesScience glossaryMechanics and properties of matterPhysical quantities, standards and unitsForce, motion and energyElectricity and Magnetism, Electronics and Communication Heat, light and soundAtomic and nuclear physicsSolid State Physics Spectroscopy Geophysics Astronomy and space science

      Chemistry Elements and CompoundsAcids, bases and saltsOxidation and reduction Chemistry of ores and metalsCarbon, nitrogen and their compoundsFertilizers, pesticides, insecticidesBiochemistry and biotechnologyElectrochemistryPolymers and plastics

      BotanyMain Concepts of life scienceThe cellbasic unit of lifeClassification of living organismNutrition and dieteticsRespirationExcretion of metabolic wasteBio communication

      ZoologyBlood and blood circulationEndocrine systemReproductive systemGenetics the science of heredityEnvironment, ecology, health and hygiene, Bio diversity and its conservationHuman diseasesCommunicable diseases and non communicable diseases prevention and remedies Alcoholism and drug abuseAnimals, plants and human life

      Unit II. Current Events

      HistoryLatest diary of events NationalNational symbolsProfile of StatesDefence, national security and terrorismWorld organizationspacts and summitsEminent persons & places in newsSports & gamesBooks & authors Awards & honoursCultural panoramaLatest historical events India and its neighbours Latest terminology Appointmentswho is who?

      Political Science1. Indias foreign policy2. Latest court verdicts public opinion3. Problems in conduct of public elections4. Political parties and political system in India

      5. Public awareness & General administration6. Role of Voluntary organizations & Govt.,7. Welfare oriented govt. schemes, their utility

      Geography Geographical landmarksPolicy on environment and ecology

      EconomicsCurrent socioeconomic problemsNew economic policy & govt. sector

      ScienceLatest inventions on science & technologyLatest discoveries in Health Science Mass media & communication

      UnitIII. Geography

      Earth and UniverseSolar systemAtmosphere hydrosphere, lithosphereMonsoon, rainfall, weather and climateWater resources rivers in IndiaSoil, minerals & natural resourcesNatural vegetationForest & wildlifeAgricultural pattern, livestock & fisheriesTransport including Surface transport & communicationSocial geography

      123

      populationdensity and distributionNatural calamities disaster managementClimate change impact and consequences mitigation measuresPollution Control

      UnitIV. History and culture of India

      Prehistoric eventsIndus valley civilizationVedic, Aryan and Sangam ageMaurya dynastyBuddhism and JainismGuptas, Delhi Sultans, Mughals and MarathasAge of Vijayanagaram and the bahmanisSouth Indian historyCulture and Heritage of Tamil peopleAdvent of European invasionExpansion and consolidation of British ruleEffect of British rule on socioeconomic factorsSocial reforms and religious movementsIndia since independenceCharacteristics of Indian cultureUnity in diversity race, colour, language, customIndiaas secular stateOrganizations for fine arts, dance, drama, music Growth of rationalist, Dravidian movement in TNPolitical parties and populist schemes Prominent personalities in the various spheres Arts, Science, literature and Philosophy

      • Mother Teresa, Swami Vivekananda, Pandit Ravishankar , M.S.Subbulakshmi, Rukmani Arundel and J.Krishnamoorthy etc.

        UnitV INDIAN POLITY

        Constitution of India. Preamble to the constitution Salient features of constitution Union, State and territory Citizenshiprights amend duties Fundamental rights Fundamental duties Human rights charter Union legislature Parliament State executive State Legislature assembly Status of Jammu & Kashmir Local government

      • panchayat raj Tamil Nadu Judiciary in India Rule of law/Due process of law Indian federalism center state relations. Emergency provisions Civil services in India Administrative challenges in a welfare state Complexities of district administration Elections Election Commission Union and State. Official language and ScheduleVIII Amendments to constitution Schedules to constitution. Administrative reforms & tribunals Corruption in public life Anticorruption measures Central Vigilance Commission, lokadalats, Ombudsman, Comptroller and Auditor General of India Right to information Central and State Commission Empowerment of women Voluntary organizations and public grievances Redressal Consumer protection forms

      Unit VI. Indian economy

      Nature of Indian economyNeed for economic planningFiveyear plan modelsan assessmentLand reforms & agricultureApplication of science in agricultureIndustrial growthCapital formation and investmentRole of public sector & disinvestment Development of infrastructure National income Public finance & fiscal policy Price policy & public distribution Banking, money & monetary policy Role of Foreign Direct Investment (FDI) WTOglobalization & privatization Rural welfare oriented programmes Social sector problems population, education, health, employment, povertyHRD sustainable economic growth Economic trends in Tamil Nadu Energy Different sources and development Finance Commission Planning Commission National Development Council

      UnitVI. Indian national movement

      National renaissanceEarly uprising against British rule1857 Revolt Indian National CongressEmergence of national leadersGandhi, Nehru, Tagore, Nethaji Growth of militant movements Different modes of agitationsEra of different Acts & PactsWorld war & final phase struggleCommunalism led to partitionRole of Tamil Nadu in freedom struggle Rajaji, VOC, Periyar, Bharathiar & OthersBirth of political parties /political system in India since independence

      124

      UnitVII. APTITUDE & MENTAL ABILITY TESTS

      Conversion of information to dataCollection, compilation and presentation of data Tables, graphs, diagramsParametric representation of dataAnalytical interpretation of data SimplificationPercentageHighest Common Factor (HCF)Lowest Common Multiple (LCM)Ratio and ProportionSimple interestCompound interestAreaVolume Time and WorkBehavioral ability Basic terms, Communications in information technologyApplication of Information and Communication Technology (ICT) Decision making and problem solvingLogical ReasoningPuzzlesDiceVisual ReasoningAlpha numeric ReasoningNumber SeriesLogical Number/Alphabetical/Diagrammatic Sequences

      .

      125

      Paper-II (100 questions) General Studies (Degree Standard) Interview and Records	2 hours	200 70	171	228
      Total	570

• Organization : Tamil Nadu Public Service Commission
• Organization City, State : , tamil nadu
• Organization Website : http://www.tnpsc.gov.in