**TELANGANA STATE PUBIC SERVICE COMMISSION HYDERABAD RELEASED SCHEME OF EXAMINATION AND SYLLABUS TO THE POST OF SCHOOL ASSISTANT (NONLANGUAGES i.e. MATHEMATICS, PHYSICAL SCIENCE,BIOLOGICAL SCIENCE & SOCIAL STUDIES) OF TRT**In this post which is headed by

**TSPSC TRT Syllabus SA Maths Science Social Scheme Of Examination**you will complete information about the syllabus which is going to ask in the Examination.Please go through the complete post so has to develop complete grip on the syllabus.

### TS TRT Syllabus SA Maths Science Social Scheme Of Examination

###
**TELANGANA STATE PUBIC SERVICE COMMISSION HYDERABAD**

###
**SYLLABUS TO THE POST OF SCHOOL ASSISTANT (NONLANGUAGES i.e. MATHEMATICS, PHYSICAL SCIENCE,BIOLOGICAL SCIENCE & SOCIAL STUDIES) OF TRT**

Telangana public service commission is the youngest public service commission which is fromed recently after the division of the state andhra pradesh in to telangana and andhra pradesh.Earlier to this the public service commission in this area are conducted under appsc but now all the examinations including teacher selections were being carried out by the TSPSC Hyerabad or Telangana.In this post you will get TSPSC TRT SA SOCIAL SYLLABUS,You can also know TSPSC TRT SA Physical Science SYLLABUS,you can also get TSPSC TRT SA biological science SYLLABUS not only these you can have look on the TSPSC TRT SA physical science SYLLABUS and also TSPSC TRT SA MATHEMATICS SYLLABUS.

### TSPSC TRT SA MATHEMATICS SYLLABUS.

Part – I
GENERAL KNOWLEDGE AND CURRENT AFFAIRS (Marks: 10)

Part - II
PERSPECTIVES IN EDUCATION (Marks: 10)

1. History of Education : Pre-Vedic and Post-Vedic period, Medieval Education,
Recommendations of various committees during British period with special
reference to Woods Despatch (1854), Hunter Commission (1882), Hartog
Committee (1929), Sargent Committee (1944), Recommendations of various
committees during post independent period with special reference to Mudaliar
Commission (1952-53), Kothari Commission(1964-66), Ishwarbhai Patel
committee (1977), NPE-1986, POA-1992
2. Teacher Empowerment: Meaning, interventions for empowerment, Professional
code of conduct for teachers, Teacher motivation, Professional development of
Teachers and Teacher organizations, National / State Level Organizations for
Teacher Education, Maintenance of Records and Registers in Schools.
3. Educational Concerns in Contemporary India: Environmental Education, Meaning
and scope of Environmental Education, Concept of sustainable development,
Role of Teacher, School and NGOs in development and protection of
environment, Democracy and Education, Equality, Equity, Quality in Education,
Equality of Educational opportunities, Economics of Education, Meaning and
scope, Education as Human Capital, Education and Human Resource
Development, Literacy – Saakshar Bharat Mission, Population Education,
Significance of Population Education, Population situation, policies and
programmes in India, Approaches to Population Education and role of school and
teacher, Themes of population Education, Family life Education, Sustainable
development, Adolescence Education, Health Education, Gender – Equality,
Equity and Empowerment of Women, Urbanization and migration, Life skills,
Inclusive Education, Conceptual Clarification and Definition, Prevalence, Myths &
Facts, Characteristics, Classification & Types, Importance of Early Identification
and assessment, Planning Inclusive Education, Classroom Management in
Inclusive Education, Evaluation, Documentation and Record Maintenance,
Psycho-Social management, Awareness & Sensitization Strategies,
Liberalization, Privatization and Globalization, Value Education, Sarva Siksha
Abhiyan, National Programme for Education of Girls at Elementary Level
(NPEGEL), Mid-day-meals, Rashtriya Madhyamika Siksha Abhiyan(RMSA),
KGBVs and SUCCESS Schools.
TSPSC-TRT-SCHOOL ASSISTANT (NON-LANGUAGES) 4. Acts / Rights: Right of Children to Free and Compulsory Education Act, 2009,
Right to Information Act, 2005, Child Rights, Human Rights
5. National Curriculum Framework, 2005: Perspective, Learning and Knowledge,
Curricular Areas, School Stages and Assessment, School and Classroom
Environment, Systemic Reforms

Part - III
CONTENT (Marks: 44)

1. NUMBER OF SYSTEM:

Number system (N,W,Z,Q,R,)and their properties, diff.
types of surds, Rationalization of mono, Binomial surds, extraction of square roots of
real numbers. Complex number as an order pair of real numbers and their
fundamental operations, representation in the form of a+ib –conjugate complex
numbers, Modules and amplitude of complex numbers-illustrations, geometrical
representations of complex numbers in Argand plane- Argand diagram. Prime and
composite numbers, types of primes (co, twin, relative etc.) prime factors, multiple
factors, GCF, LCM, relation bet. GCD & LCM. Modulus of a real number, Absolute
value

2. SETS AND RELATIONS:

Statements: Consecutiveness, Negation, Disjunction,
Conjunction, Conditional, Bi-conditions (Bi-Implications), algebra of statements,
Quantifies ,Converse, Inverse and contra positive of a conditional, proofs Direct and
indirect proofs – methods of disproof, an application of truths tables to switching
networks, sets – proofs of some laws of set operations, principle of duality, a
comparison between the algebra of sets and statements, Tautologies and
contradictions, Concept of a set: Definition ,Null set, equality of set, cardinal
number, subset, super set, Universal set, union, intersection, venn diagrams,
compliment,
Relations: Ordered pairs, image, pre-image, range, injection, surjection, Bijection,
finite set Cartesian products, Domain and range of a relations, Inverse relation,
Types of relations, Relations and functions. Functions: Types of functionsdefinitions,
Theorems on function, Domain, Range, inverse and real valued
functions. Identity function, Constant function, Equal function, even and odd function,
polynomial functions, Rational functions, Algebraic functions, Exponential functions,
Logarithmic functions, Exponential and Logarithmic Series, Greatest Integer
functions. Composite function, and its property, graphs of functions, Compound
functions. Equations of functions
Limits: Concept, and limits of a function. Continuity, Neighbourhoods.

3. COMMERCIAL MATHEMATICS:

Ratio and proportion, Rate, Unitary method,
Percentages, Trade Discount, Average, Simple interest, Compound interest,
Partnership, Time and distance, Time and work, clocks and calendar problems.
ALGEBRA: Laws of exponents: Laws of rational indices, Multiplication and division
of polynomials, some special products, Factorization of Quadratic Expressions.
TSPSC-TRT-SCHOOL ASSISTANT (NON-LANGUAGES) Logarithms: Definition, simple laws of logarithms, some additional laws,
characteristic, Mantissa Exponents.
Algebra of expressions: Square roots, Homogeneous, Symmetric cyclic expression
and Factorization, symmetric expressions, cyclic expressions, quadratic equations,
reciprocal equation, relation between roots and coefficients, nature of roots, to find
the quadratic equation whose roots are given. Remainder theorem, Horner’s
method, trial and error method, finding multiple roots, graphical solutions.
Binomial Theorem: Standard binomial expansion, theorem, integral part, fractional
part, numerically greater terms, largest problems, approximation using Binomial
theorem.
Mathematical induction: principles of mathematical induction and theorems and its
applications, problems on divisibility.

4. LINEAR EQUATIONS:

Linear equations in two variables: System of linear
equations, Simultaneous equation in two variables, Dependant equations, Linear
equations and their graphs, Linear functions , System of equations, linear
programming-problems (LPP). The fundamental theorem, graphical method of
solving an LPP, a closed converse polygon, general graphical methods – application
of LPP.
In-equations: Linear in-equations and their graphs, System of in-equations. Linear
equations in two variables, System of linear equations, simultaneous equation in two
variables Dependant equations, linear equations and their graphs, linear functions,
system of equations, System of two points, which is not parallel to X-axis, Midpoint
of the segment following A(x1,y1), B(x2,y2) equation of a line passing through the
origin having slope m, The slope intercept form of a line, the point slope form of a
line, the intercept form of a line, the two point form of a line, linear in-equations, their
graphs, system of linear in-equations.
Rational integral of x, remainder theorem, Horner’s method of synthetic
division, problems leading to quadratic equations, graphical solutions of quadratic,
Quadratic inequalities in one variable, solution of quadratic in-equations the principle
of mathematical induction , The binomial theorem, Pascal triangle.
Quadratic expressions, equations in one variable, sign of quadratic
expressions, changes in signs and maximum and minimum values, quadratic inequations,
relation between the roots and the coefficient in an equation, remainder
theorem, connecting problems, solving an equation when two or more of its roots are
connected by Cartesian relations, Horner’s method of synthetic division, trial and
error method, Procedure to find multiple roots.

5. GEOMETRY

Structure of geometry, axioms, Historical background, Basic axioms, Parallel line,
theorems, triangles and polygons, angles of a polygons, theorems based on,
Polygon congruence of triangle SAS, ASA, SSA, axioms, Parallelogram and its
TSPSC-TRT-SCHOOL ASSISTANT (NON-LANGUAGES) properties, Triangles, Particular types, geometric inequalities in a triangles some
theorem, circles and concurrent lines in triangles, Theorems based on circles,
Concurrent lines in a triangle, Median, Altitudes of a triangle, line of symmetry, axis
of symmetry, point symmetry, image of an angle.
Quadrilaterals, example of different Quadrilaterals, Parallel lines and triangles,
theorems, intercept, Theorems, locus, points equidistant from two given points.
Theorems, an concurrency, attitude, circum centre, ortho centre, centroid, Areas,
polygonal region, Area axiom, congruent axiom, area monotonic axiom, area of
parallelogram theorem, Area of Triangle, Theorem based quit, circles are of a circle,
semi circle, segment of a circle, Congruence of a circle, Theorems based on circle.
Similar polygons, similar triangle and their properties, Basic proportionality
theorem, vertical angle bisection theorem, Similar Triangle, AAA similarity, SSA,
SAS similarities Pythagoras theorem, Tangents to a circle, different properties of a
tangent to a circle, segments of a chord, Common tangents to two circles.

GEOMETRICAL CONSTRUCTIONS
Construction of triangles, constructions involving concurrence lines, triangles and
circles, harder cases, Geometrical constructions involving circles and tangents and
triangles and quadrilaterals.
6. MENSURATION
Square, rectangle, triangle, Quadrilateral, Circle, Ring (Annulus), Sector.
Prism, total surface area of right prism, volume of a prism, Volume of a cube,
Cuboids, The right pyramid, Cylinder, Hollow cylinder, Cylindrical shell, ratio’s of
cylinders, cone, Hollow cone, solid cone, Curved surface area, total surface area,
volume of a right circular cone, Sphere: Surface area of a sphere, total surface area
of a hemisphere, Volume of a sphere, Hollow hemisphere.
7. MATRICES
Matrix Definition, Order of a matrix, Types of matrices, Equality of two matrices,
Addition, Subtraction, multiplication of matrix, Product of two matrices, properties of
products of matrices, transpose of matrix, properties, skew symmetric matrix, Adjoint
and inverse of a matrix, simultaneous linear equations, types of system of
simultaneous linear equations, consistency and inconsistency of Simultaneous
equation. .
Multiplicative inverse of a square matrix, singular and non singular matrix,
solution of a system of linear equations in two variable using matrices determinants,
properties of determinants, Matrix inverse method and Cramer’s , Inversion and
Gauss Jordan method and Solving Equations
Triangle matrices, properties of addition of matrices, sector multiple of a matrix
TSPSC-TRT-SCHOOL ASSISTANT (NON-LANGUAGES) Page 6
8. STATISTICS
Cumulative frequency distribution, LCFD, GCFD, Frequency graphs, lesser then
frequency distribution, Greater than frequency distribution.
Central Tendency: means of the ungrouped data, Weighted AM, means grouped
data, Merit and demerits of AM, Medians from ungrouped and grouped data, mode
of ungrouped and grouped data, Empirical relation among mean, Median and mode.
Probability: Random Experiments and Events, Definition, Axiomatic Approach,
Independent and Dependent Events, Conditional Probability, Bayes Theorem,
random variables , theoretical distributions.
9. COMPUTING
Introduction to computers, Historic development of computers, Structure of a
computer, working characteristics of Computers, Problem solving, flow charts and
their representation, Operations box, Data box, Decision box, loops, Algorithm, Flow
diagram using boxes for mechanics.
10.PROGRESSIONS
Progressions: Common difference, nth term, sum of the first nth terms Arithmetic,
Geometric and Harmonic Progressions and problems. AM, GM, HM and its
Problems.
11.TRIGONOMETRY
Unit of measurement of angles: Radian measure, relation between radian and
degrees, 6 Trigonometric ratios and transformations, behavior of trigonometric
functions, Trigonometric functions of complementary angles, trigonometrically tables.
Inverse trigonometric functions, Hyperbolic Functions, Properties of Triangles,
graphs and periodicity, Trigonometric ratios of compound angles, Trigonometric
ratios of multiple and sub multiple angles, Angle of elevation and angle of
depression, heights and distance. Trigonometric Expansions.
12.ANALYTICAL GEOMETRY
Distance between two points, Division of a segment internally and externally in a
given ratio, slope, Area of triangle, The Straight Line; Pairs of St Lines.
LOCUS, Transformation of Axes.
Three Dimensional Geometry: Co-ordinates; Direction Cosines and Ratios;
Cartesian equation of a plane. Circles and System of Circles, Parabola, Ellipse,
Hyperbola and polar coordinates.
Part – IV
Teaching Methodology (Marks: 16)
1. Meaning and Nature of Mathematics, History of Mathematics.
2. Contributions of Great Mathematicians – Aryabhatta, Bhaskaracharya, Srinivasa
Ramanujan, Euclid, Pythagoras, George cantor.
3. Aims and Values of teaching Mathematics, Instructional objectives (Blooms
taxonomy)
TSPSC-TRT-SCHOOL ASSISTANT (NON-LANGUAGES) 4. Mathematics curriculum: Principles, approaches of curriculum construction,
-Logical and Psychological, Topical and Concentric, Spiral approaches. Qualities
of a good Mathematics text book.
5. Methods of teaching mathematics- Heuristic method, Laboratory method,
Inductive and Deductive methods, Analytic and Synthetic methods, Project
method and Problem Solving method.
6. Unit Plan, Year Plan, Lesson Planning in Mathematics.
7. Instructional materials, Edgar Dale’s Cone of Experience.
8. Evolving strategies for the gifted students and slow learners,
9. Techniques of teaching mathematics like Oral work, Written work, Drilling,
Assignment, Project, Speed and Accuracy.
10.Mathematics club, Mathematics structure, Mathematics order and pattern
sequence.
11.Evaluation – Types, Tools and Techniques of Evaluation, Preparation of SAT
Analysis, Characteristics of a good test./////////////////////////////////

### TSPSC TRT SA PHYSICAL SCIENCE SYLLABUS.

Part – I
GENERAL KNOWLEDGE AND CURRENT AFFAIRS (Marks: 10)
Part - II
PERSPECTIVES IN EDUCATION (Marks: 10)

1. History of Education : Pre-Vedic and Post-Vedic period, Medieval Education,
Recommendations of various committees during British period with special
reference to Woods Despatch (1854), Hunter Commission (1882), Hartog
Committee (1929), Sargent Committee (1944), Recommendations of various
committees during post independent period with special reference to Mudaliar
Commission (1952-53), Kothari Commission(1964-66), Ishwarbhai Patel
committee (1977), NPE-1986, POA-1992

2. Teacher Empowerment: Meaning, interventions for empowerment,
Professional code of conduct for teachers, Teacher motivation, Professional
development of Teachers and Teacher organizations, National / State Level
Organizations for Teacher Education, Maintenance of Records and Registers
in Schools.

3. Educational Concerns in Contemporary India: Environmental Education,
Meaning and scope of Environmental Education, Concept of sustainable
development, Role of Teacher, School and NGOs in development and
protection of environment, Democracy and Education, Equality, Equity,
Quality in Education, Equality of Educational opportunities, Economics of
Education, Meaning and scope, Education as Human Capital, Education and
Human Resource Development, Literacy – Saakshar Bharat Mission,
Population Education, Significance of Population Education, Population
situation, policies and programmes in India, Approaches to Population
Education and role of school and teacher, Themes of population Education,
Family life Education, Sustainable development, Adolescence Education,
Health Education, Gender – Equality, Equity and Empowerment of Women,
Urbanization and migration, Life skills, Inclusive Education, Conceptual
Clarification and Definition, Prevalence, Myths & Facts, Characteristics,
Classification & Types, Importance of Early Identification and assessment,
Planning Inclusive Education, Classroom Management in Inclusive Education,
Evaluation, Documentation and Record Maintenance, Psycho-Social
management, Awareness & Sensitization Strategies, Liberalization,
Privatization and Globalization, Value Education, Sarva Siksha Abhiyan,
National Programme for Education of Girls at Elementary Level (NPEGEL),
Mid-day-meals, Rashtriya Madhyamika Siksha Abhiyan(RMSA), KGBVs and
SUCCESS Schools.

4. Acts / Rights: Right of Children to Free and Compulsory Education Act, 2009,
Right to Information Act, 2005, Child Rights, Human Rights

5. National Curriculum Framework, 2005: Perspective, Learning and Knowledge,
Curricular Areas, School Stages and Assessment, School and Classroom
Environment, Systemic Reforms

Part - III
CONTENT (Marks: 44)

1. MEASUREMENT, UNITS AND DIMENSIONS: Systems of Measurement,
Units of Measurements, Measurement of Length, Triangulation Method,
Measuring Instruments, Vernier calipers, Screw Gauge Measurement of Area,
Volume, Time, Measurement of Mass and Density, Measuring instruments.
Units and Dimensions Fundamental and derived physical quantities, Systems
of units, Multiples and submultiples of SI units. Dimensions Dimensional
formulae and dimensional equations, dimensional constants and
dimensionless quantities, principle of homogeneity of dimensions. Application
of dimensional method of analysis. Conversion of one system of units into
another, derivation of relationship between different physical quantities.

2. NATURAL RESOURCES AIR AND WATER: Air, Composition of air,
Measurement of Atmospheric Pressure, Air Pollution, Volumetric
Composition of Water, Hardness of Water, Drinking Water and Supply Water
Pollution, Cyclone, Pascal’s Law, Archimedes’ Principle, Boyle’s Law,
Bernoulli’s Principle, Wind, Rainfall

.
3. OUR UNIVERSE: Constellations, Zodiac, Solar System, Stars, Meteors and
Comets, Light year, Life on the Planet – Earth.

4. NATURAL PHENOMENA
A. Light - Sources & Nature of Light, Propagation of Light, Reflection,
Refraction, Laws of Reflection, Image formed by Plane Mirror, Reflection on
Spherical Mirrors, Refraction of Light through Prism and lenses (convex,
concave), camera and the human eye, Refractive index of material of prism,
critical angle, Total Internal Reflection – Relation between Critical angle and
Refractive Index, application of total internal reflection to Optical fibers. visual
photometry, LASERS. Newton’s Corpuscular Theory, Huygens’ Wave Theory,
Electromagnetic spectrum. Huygens’ Explanation of Reflection, Refraction,
interference and diffraction of plane waves at a plane surface, Optical
Instruments-Microscope, Telescope, Formula for magnification of microscope,
Astronomical and Terrestrial Telescopes.
B. Sound-Wave motion :Wave Motion, Longitudinal and transverse waves,
Equation for a progressive wave, principle of superposition of waves,
reflection of waves, Formation of waves on stretched string. Sound -
Propagation of sound, Musical Instruments, Velocity of Sound in Gases,
Solids & Liquids, Progressive & stationary waves, Characteristics of sound.
Forced Vibrations, Natural Vibrations – Resonance with examples, standing
waves in Organ Pipes, Open Pipes, Closed Pipes. Sound Reflection, Echoes,Absorption of sound waves, Reverberation – Reverberation Time.
Fundamentals of building Acoustics, Sound Pollution.
C. Heat - Sources of Heat, Transmission of Heat, Heat and Temperature its
Units, Measurement of Temperature, Fahrenheit and Centigrade scales,
Different types of thermometers, Effects of Heat Expansion of solids, liquids,
gaseus, Change of state, Calorimetry – specific heat of solids and liquids,
calorific values of fuels, latent heat of fusion and latent heat of vaporization,
Change of density with temperature, Examples in daily life. Expansion of
liquids-coefficients of real and apparent expansion of liquids. Determination of
coefficient of apparent expansion of liquid by specific gravity bottle method.
Anomalous expansion of water, its significance in nature. Expansion of
Gases-Volume and pressure coefficients of gases. Kelvin scale of
temperature, Boyle’s and Charle’s laws. Ideal gas equation. Heat capacity,
specific heat, experimental determination of specific heat by method of
mixtures. Specific heat of gas (Cp and Cv), External work done by a gas
during its expansion. Relation between Cp and Cv (derivation) Latent heat,
Determination of latent heat of vaporization of water.

5. KINEMATICS AND DYNAMICS

Kinematics: Motion-Types of Motion, Speed, Velocity, Velocity-time and
position-time graphs, Scalars and Vectors, laws of addition of vectors,
subtraction of vectors. Acceleration, Newton’s law’s of Motion, Newtons
Universal Gravitation, Centre of Gravity, Stability, Applications, Equations of
Motion, Motion of a body under gravity – Acceleration due to Gravity “g”,
Equations of Motion for a freely falling body, Equations of Motion for a body
thrown upwards. Equations, applications and problems. DYNAMICS - Work,
Power, Energy, Conservation of Energy and Transformation of Energy,
Renewable and Non-Renewable sources of Energy, Impulse, Law of
conservation of linear momentum, Potential Energy (PE), Kinetic Energy (KE).
Relation between KE and Linear momentum. Circular Motion, uniform circular
motion, angular displacement, angular velocity, and angular acceleration,
relationship between linear velocity and angular velocity, centripetal and
centrifugal force, torque, couple, vector representation of torques, Banking of
Roads & Rail Tracks, Simple Harmonic Motion, Simple Pendulum, Law of
conservation of energy in case of a simple pendulum. Elasticity - Elasticity
and plasticity, stress and strain, Hooke’s law, Moduli of elasticity. Fluid
Mechanics Laws of Floatation, Principle of Buoyancy, pressure in a fluid.
Stream line flow Bernoulli’s theorem and its applications. Simple Machines
and Moments Moment of a Force, Wheel and Axle, Screw Jack, Gears,
Friction, Causes of friction, advantages of friction, disadvantages of friction,
methods of reducing friction.

6. MAGNETISM -

Natural and Artificial Magnets, Properties of Magnets,
Magnetic Induction. Terrestrial magnetism, Magnetic field around a magnet,
elements of terrestrial magnetism, Theory of Magnetism, Inverse square of magnetism, Magnetic field due to a bar magnet, Mapping of magnetic lines of
force due to a bar magnet : neutral points, magnetic properties of materials.
Coulomb’s Inverse Square Law, Definition of Magnetic Field, Magnetic Lines
of Force, Uniform and Non-Uniform Magnetic Fields. Couple acting on a bar
magnet placed in a uniform magnetic field, Definition of magnetic moment of
magnet. Magnetic Induction due to a bar magnet on axial and equatorial lines.
Types of magnetic material, Para, Dia, and Ferro magnetism, Definition and
properties

7. ELECTRICITY
Electrostatics - Electrification by friction, Charges, Coulomb’s Law: Permittivity
of Free Space and Medium, Electric Field – Electric lines of force, their
properties – Electric intensity, Electrostatic Potential, Relation between
electrostatic potential and electric intensity. Capacitance and capacitors,
Dielectric constant, Condenser, its uses –Dielectric Strength – Effect of
dielectric on capacitance of capacitors. Current electricity - Primary CellsSeries
and Parallel connection-Electric circuits, Electrical Resistance, Ohm’s
Law and its verification, Ohmic and Non Ohmic elements, Resistance
Resistances in Series and Parallel, Heating Effects of Electric Current- Joule’s
Law, Faraday’s Laws of Electrolysis, Magnetic Effects of Electric Current,
Principle and Working of an Electric Motor, Electro – Magnetic Induction.
Electric current – Flow of Electric charges in a metallic conductor – Drift
velocity and mobility – Relation between electric current and drift velocity,
Conductance, Electrical Energy – Power.

8. ELECTROMAGNETISM -

Electromagnetic Waves, Spectrum Oersted’s
Experiment, Ampere’s Law, Magnetic field near a long straight wire and
magnetic field at the Center of a circular coil carrying current, Field on the axis
of circular coil carrying current, Force on a moving charge in a magnetic field
– Force on a current carrying conductor placed in a magnetic field. Force
between two long straight parallel conductors carrying current, Definition of
Ampere. Fleming’s Left Hand Rule. Current loop as magnetic dipole, force
and Torque on Current loop in an uniform magnetic field, magnetic dipole
moment of a revolving electron. Electromagnetic induction, Magnetic Flux,
Induced EMF, Faraday’s and Lenz’s Law. Fleming’s Right Hand Rule, Self
Inductance, Mutual Inductance, Principle of Transformer.

9. MODERN PHYSICS:

Atomic physics - Discharge of Electricity through gases, X-rays. Atomic
structure, atomic number, atomic mass and mass defect, radioactivity,
artificial transmutation. Discovery of electron – E/M of electron by Thomson’s
method. X-Rays- Production of X-Rays – Coolidge tube. Nuclear physics -
Composition and size of nucleus, mass defect and binding energy and their
relation. Radio Activity- Artificial Transmutation of elements, Nuclear
Radiation Hazards, Protective shielding. Nuclear Fusion – Energy of sun and
stars Semi conductor devices - Band theory of solids, Intrinsic and Extrinsic
Semiconductors, Junction Diodes and Transistors, Properties and Uses,
Basic Principles of Working Intrinsic and Extrinsic semi conductors (n and p
type).Junction diode – p–n junction, depletion layer and barrier potential,
Forward and Reverse bias, Transistor Function of Emitter, base and Collector,
p-n-p and n-p-n Transistors.

10.COMMUNICATION SYSTEMS:

Computer-Parts of Computer-Uses of
Computer, Telephone, Wireless System-Radio Broad Casting, Recording and
Reproduction of Sound, Cine projector, Elements of communication systems
(block diagrams only), Television, Bandwidth of signals (speech TV and digital
data) bandwidth of Transmission medium – Propagation of electromagnetic
waves in the atmosphere sky and apace wave propagation. Modulation –
Need for modulation.

11.States of Mater - Gases and Liquids:

Measurable Properties of Gases, Gas
Laws, Graham’s law of diffusion – Daltons law of partial pressures,
Avagadro’s law, Ideal behavior, empirical derivation of gas equation, ideal gas
equation, Kinetic molecular theory of gases, Kinetic gas equation (No
derivation) – deduction of gas laws.
12.Atomic Structure: Matter – Its Structure, Cathode Rays, Canal Rays,
Discovery of Neutron, Atomic Models – Arrangement of Sub Atomic Particles,
Rutherford’s model of atom and its drawbacks, Bohr’s model of atom and its
limitations, Sommerfeld’s elliptical model, Sub Energy Levels – Quantum
Numbers, Atomic Orbitals, Relative energies of the atomic orbitals, Electronic
configuration of Atoms, Some Physical Quantities of Atoms, Nature of
Electromagnetic Radiation, Planck’s Quantum theory.Explanation of Photo
electric effect. Features of Atomic Spectra.Characteristics of Hydrogen
Spectrum. Bohr’s explanation of Spectral Lines, Wave-particle nature of
electron, De Brogile’s hypothesis, Heisenberg’s uncertainity principle,
Important feature of the quantum mechanical model of an atom, Electronic
configurations of atoms – Explanation of stability of half filled and completely
filled orbitals.

13.Classification of Elements And Periodicity in Properties: Symbols and
formulae, Radicals and their formulae, Chemical equation, Meaning,
Calculations based on equations and relationship of reactants and products
by weights, Classification of Elements, The Periodic Law, Modern Periodic
Table, The significance of atomic number and electronic configuration,
Classification of elements into s, p, d, f blocks and their characteristics, Period
trends in physical and chemical properties of elements, Periodic trends of
elements with respect to atomic radii, ionic radii, inert gas radii, ionization
energy, electron gain energy, electro negativity, Valency, Variation of atomic
radii in inner transition elements.
Alkali and Alkaline Earth Metals Alkaline Earth Metals, Electronic configuration, occurrence, Trends in
properties of alkaline earth metals, Reactions of alkaline earth metals,
General methods of preparation of Alkaline Earth Metals, Anomalous
properties of the first element in each group, Diagonal relationship. Trends in
properties like ionization, enthalpy, atomic and ionic radii, reactivity with
oxygen, hydrogen, halogens and water, uses, Preparation and properties of
some important compounds by different methods: Sodium hydroxide, Salts of
oxo acids, Sodium carbonate and Sodium hydrogen carbonate, Sodium
chloride, Biological importance of sodium and potassium, Cao, CaCo3 and
CaSo4 preparation and uses, Industrial uses of lime and lime stone, Biological
importance of Mg and Ca
P-Block Elements; Group 15 Elements (VA)
Occurrence – physical states of Nitrogen and Phosphorous, allotropy,
catenation, capacity, electronic configuration, oxidation states, General
Characteristics of Hydrides, Structure of hydrides, General Characteristics of
Oxides, General Characteristics of Halides, Oxoacids of Nitrogen, Oxoacids of
Phosphorous, Preparation and uses of Nitric acid and Ammonia ,
Superphosphate of lime.Group 16 Elements: Group (VI A) Elements) :
Extraction of Sulphur, Allotropic forms of Sulphur, Physical and Chemical
properties of Sulphur, Uses of Sulphur, Preparation of Sulphur dioxide,
Manufacture of Sulphuric acid, Properties of Sulphuric acid, Sulphuric acid as
oxidizing and dehydrating agent, Laboratory preparation of Hydrogen
Sulphide, Properties of Hydrogen Sulphide, Occurrence, electronic
configuration, oxidation states, Physical states of oxygen and sulphur and
their structure, allotropy, General characteristics of hydrides, oxides and
halides, Structural aspects of oxy-acids of halogens, Ozone, uses of
ozone.Sodium thiosulphate, Sulphuric acid – industrial process of
manufacture. Group 17 Elements : (Group VII A Elements) : Occurrence,
electronic configuration and oxidation states, Physical states of halogens, I.P.
Values, electro-negativity and electron affinity, bond energies, chemicals
reactivity, oxidizing power of chlorine, Structural aspects of oxy acids of
chlorine, Preparation, properties and uses of chlorine and bleaching powder.
Hydrogen and its Compounds - Volumetric composition of water, Industrial
and other uses of water, Laboratory preparation, Properties and Uses of
Hydrogen including as a fuel, Laboratory preparation, Properties and Uses of
Oxygen, Position of hydrogen in the periodic table, Occurrence, isotopes of
hydrogen, Reactions of Hydrogen with different types of elements leading to
ionic, molecular hydrides, Physical and Chemical properties of water and
heavy water.
14.Chemical Bonding and Molecular Structure
Types of Bonds, Inter Molecular Attractions, Energy changes during a
chemical reaction, Exotherimic and Endothermic Relations, ionic bond, energy
changes in ionic bond formation, Properties of ionic Compounds, Covalent
Bond, Multiple Covalent Bonds, Shapes of some molecules. VSEPR theory,
TSPSC-TRT-SCHOOL ASSISTANT (NON-LANGUAGES) Page 14
The valence bond approach for the formati The valence bond approach for the formation of covalent bonds, Directional
nature of covalent bond, Properties of covalent bond, Different types of
hybridization involving s, p and d orbitals and draw shapes of simple covalent
molecules, Definition of coordinate covalent bond with examples, Description
of molecular orbital theory of homo nuclear diatomic molecules, Bonding,
antibonding molecular orbitals, Ïƒ, Ï€ bond orbitals, their symmetry.
15.Chemical Kinetics, Energitics, Chemical Calculations And Stoichiometry
Chemical combination, Chemical decomposition, Chemical displacement,
Chemical Double decomposition, Slow and Fast reactions, Rate of a
Reaction, Factors affecting the reaction rate, Reversible and Irreversible
Reactions, Law of conservation of mass, Law of definite proportions, Law of
multiple proportions, Rate law, units of rate constant, Collision theory of
reaction rates (elementary ideas), concepts of activation energy.
Stoichiometry - Meaning of Chemical Equations, Thermochemical Equations,
Problems Based on Equations, Laws of chemical combination, principles and
examples, Molar mass, concept of equivalent weight with examples,
Percentage composition of compounds and calculations of empirical and
molecular formula of compounds, Oxidation number concept, Balancing of
redox reactions by ion electron method and oxidation number method, Types
of redox reactions, Applications of redox reactions in titrimetric quantitative
analysis and redox reactions in electrode process, Numerical calculations
based on equations. Equilibrium - Differences between Physical and
Chemical change, Equilibrium in physical and chemical process, Dynamic
nature of equilibrium, law of mass action, Equilibrium Constant, Factors
affecting equilibrium.
16.Solutions, Acids And Bases
Solutions, Types, Solubility and Factors affecting concentration of solutions,
Ionization of Substances in Water, Classification of solutions – Methods of
expressing concentration of solutions – Molarity, Normality, Molality, Mole
Fraction, Preparation of Acids and Bases, General properties of Acids an
Bases, Arrhenius Theory, The Strengths of Acids and Bases, Neutralisation
and Heat of Neutralisation, Ionization of acids and bases, strong and weak
electrolytes, degree of ionization, ionic product of water, Concept of pH., pH
of some common fluids, Common Salt, Electrolysis of brine, Chlorine,
Properties of Chlorine, Uses of Chlorine, Hydrogen Chloride
17.Chemistry of Carbon Compounds
Allotropic forms of Carbon, Oxides of Carbon, Uniqueness of Carbon and
Source of Carbon Compounds, Anomalous behavior of first element namely
Carbon, Carbon-catenation, allotropic forms, physical and chemical properties
and uses, Fuel gases – producer gas and water gas manufacture and uses.
Hydrocarbons -Classification : Alkanes – Nomenclature, isomerism,
conformations, Methods of preparation of ethane, Physical properties,
chemical reactions including free radical mechanism of Halogenation,
combustion and Pyrolysis of Ethane, Cycloalkines, preparation and properties

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### TSPSC TRT SA MATHEMATICS SYLLABUS.

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TSPSC TRT SA Syllabus Maths Science Social Scheme Of Examination
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