THE TOUGHNESS OF THE WRITTEN EXAM WILL BE CLASS 10NTH LEVEL, SO DO NOT PREPARE HIGH LEVEL BUT PRACTICE MORE FOR SPEED, SO THAT YOU SOLVE YOUR PAPER VERY EASILY.

Soldier Technical

THE TOUGHNESS OF THE WRITTEN EXAM WILL BE CLASS 12TH LEVEL.

THIS EXAM WILL NOT BE TOO EASY, SO PREPARE HARD.

Soldier Clerk

THE TOUGHNESS OF THE WRITTEN EXAM WILL BE CLASS 12TH LEVEL.

THIS EXAM WILL NOT BE TOO EASY, SO PREPARE HARD.

Soldier Nursing Assistant

YOUR WRITTEN EXAM WILL BE EQUIVALENT TO 12 TH LEVEL, YOU HAVE TO PREPARE WELL FOR THIS EXAM.

IMPORTANT BOOKS

YOU CAN PREFER ARIHANT PUBLICATION BOOK AND CAN ALSO BUY A SEPARATE – SEPARATE BOOKS FOR EACH SUBJECT FROM ARIHANT PUBLICATION.

IMPORTANT TIPS

YOU HAVE TO READ YOUR EXAM BOOK TWICE AFTER THAT YOU MUST DO UNSOLVED QUESTION PAPER SET WITHIN TIMING.

WE ARE GOING TO TALK ISRO Technical Assistant (Electronics) DETAIL SYLLABUS, EXAM PATTERN, OLD PAPERS, BOOKS 2019

EXAM PATTERN

FIRST OF ALL, YOU WILL BE APPEAR IN A WRITTEN EXAMINATION AND YOU HAVE TO QUALIFY MINIMUM MARKS SO THAT YOU CAN GIVE SKILL TEST, HENCE EXAM PATTERN IS LIKE THIS-

1-WRITTEN EXAM

2-SKILL TEST (INTERVIEW)

WRITTEN TEST WILL HAVE TOTAL 6O QUESTIONS ANT 90 MINUTE TIME.

THERE IS NEGATIVE MARKING OF 1/4 MARKS.

FINAL MERIT LIST WE BE MADE ON ONLY AND ONLY WRITTEN EXAM.

SO PREPARE WELL FOR WRITTEN EXAM.

DETAIL SYLLABUS

IN Technical Assistant (Electronics) EXAMINATION ONLY DIPLOMA COURSE RELATED QUESTION WILL BE ASK, SO YOU HAVE TO PREPARE YOUR DIPLOMA BOOK OF ALL SEMESTER.

SEM -1

Engineering Graphics

Basic Science – Physics

Basic Science – Chemistry

Basic Mathematics

Fundamentals of ICT

Basic Workshop

SEM-2

Basic Electronics

Applied Science – Physics

C Language Programming

Business Communication using Computers

Applied Mathematics

Electronics Engineering Material

Sem- 3

Electronics Circuits and Networks

Electronic Measurement and Instrumentation

Digital Techniques

Applied Electronics

Principles of Electronics Communication

Sem- 4

Microcontroller and Applications

Digital Communication Systems

Consumer Electronics

Basic Power Electronics

Linear Integrated Circuits

Maintainance of Electronics Equipments and EDA Tools Practices

Sem- 5

Embedded Systems

Control System and PLC

Mobile and Wireless Communication

Environmental Technology and Renewable Energy Systems

Industrial Training

Sem- 6

Optical Fiber Communication

Managerial Skills and TQM

Entrepreneurship Development – Elective I

Technical Writing – Elective II

VLSI and VHDL

IMPORTANT TIPS

IF YOU REALY WANT TO GET THIS JOB, YOU HAVE TO READ YOUR POLYTECHNIC TRADE BOOK OF ALL SEMESTER.

SKILL TEST IS ONLY QUALIFYING NATURE, BUT YOU HAVE TO SCORE 60 %ATLEAST.

In this post, we will talk ISRO Technical Assistant (Mechanical) DETAIL SYLLABUS, EXAM PATTERN, OLD PAPERS, BOOKS 2019.

EXAM PATTERN

FIRST OF ALL, YOU WILL BE APPEAR IN A WRITTEN EXAMINATION AND YOU HAVE TO QUALIFY MINIMUM MARKS SO THAT YOU CAN GIVE SKILL TEST, HENCE EXAM PATTERN IS LIKE THIS-

1-WRITTEN EXAM

2-SKILL TEST (INTERVIEW)

WRITTEN TEST WILL HAVE TOTAL 6O QUESTIONS ANT 90 MINUTE TIME.

THERE IS NEGATIVE MARKING OF 1/4 MARKS.

FINAL MERIT LIST WE BE MADE ON ONLY AND ONLY WRITTEN EXAM.

SO PREPARE WELL FOR WRITTEN EXAM.

DETAIL SYLLABUS

IN THIS EXAM QUESTIONS WILL BE ASKED FROM YOUR DIPLOMA COURSE, QUESTIONS WILL BE ASKED FROM ALL SEMESTER.

Semester I

Semester II

1-Engineering Mathematics

Engineering Mathematics

2-Engineering Physics

Applied Mechanics

3-Engineering Drawing/Graphics

Material Science

4-Workshop (Practical)

Mechanical Drafting

5-Communication Skills

Basic Civil Engineering

Semester III

Semester IV

1-Manufacturing Engineering

Manufacturing Engineering

2-Fluid Mechanics

Thermal Engineering

3-Thermodynamics

Theory of Machines

4-Strength of Materials

CADD

5-Applied Electronics and Electrical Engineering

Metrology and Instrumentation

6-CADD (Computer-Aided Machine Design and Drawing)

Plant Maintenance and Safety

Semester V

Semester VI

1-Thermal Engineering

Computer-Aided Manufacturing

2-Design of Machine Elements

Tool Engineering

3-Manufacturing Engineering

Industrial Manufacturing

4-Industrial Design

Elective Subjects

5-Cost Estimating and Contracting

Project Work

IMPORTANT TIPS

IF YOU REALY WANT TO GET THIS JOB, YOU HAVE TO READ YOUR POLYTECHNIC TRADE BOOK OF ALL SEMESTER.

SKILL TEST IS ONLY QUALIFYING NATURE, BUT YOU HAVE TO SCORE 60 %ATLEAST.

HERE WE WILL SEE THE DETAILS OF ISRO Draughtsman-B(Civil) DETAIL SYLLABUS, EXAM PATTERN, OLD PAPERS, BOOKS 2019

EXAM PATTERN

FIRST OF ALL, YOU WILL BE APPEAR IN A WRITTEN EXAMINATION AND YOU HAVE TO QUALIFY MINIMUM MARKS SO THAT YOU CAN GIVE SKILL TEST, HENCE EXAM PATTERN IS LIKE THIS-

1-WRITTEN EXAM

2-SKILL TEST (INTERVIEW)

WRITTEN TEST WILL HAVE TOTAL 6O QUESTIONS ANT 90 MINUTE TIME.

THERE IS NEGATIVE MARKING OF 1/4 MARKS.

FINAL MERIT LIST WE BE MADE ON ONLY AND ONLY WRITTEN EXAM.

SO PREPARE WELL FOR WRITTEN EXAM.

WRITTEN EXAM DETAIL SYLLABUS

QUESTIONS WILL BE ASKED FROM THREE TOPICS THESE ARE FOLLOWING

1- Draughtsman-(Civil) THEORY (40 QUESTIONS)

2-MATHS (10 QUESTIONS )

1-TRIGONOMETRY

2-SIMPLIFICATION

3-AGE,TIME ,PIPE ,TRAIN ,RELATED QUESTIONS

4- BASIC 2D,3D GEOMETRY

5-PROGRESSION

ETC.

3-BASIC PHYSICS (10 QUESTIONS)

1-HEAT

2-ELECTRICITY

3-ENERGY

4-NUTONS LAW

5-ELECTRIC,MAGNETIC FIELD

6-TEMPERATURE

ETC.

FREE TIPS

IF YOU REALY WANT TO GET THIS JOB, YOU HAVE TO READ YOUR ITI FITTER TRADE BOOK OF ALL SEMESTER

SKILL TEST IS ONLY QUALIFYING NATURE, BUT YOU HAVE TO SCORE 60 %ATLEAST.

HERE WE WILL KNOW THE DETAILS OF ISRO TECHNICIAN-B(FITTER) DETAIL SYLLABUS, EXAM PATTERN, OLD PAPERS, BOOKS 2019

exam pattern

FIRST OF ALL, YOU WILL BE APPEAR IN A WRITTEN EXAMINATION AND YOU HAVE TO QUALIFY MINIMUM MARKS SO THAT YOU CAN GIVE SKILL TEST, HENCE EXAM PATTERN IS LIKE THIS-

1-WRITTEN EXAM

2-SKILL TEST (INTERVIEW)

WRITTEN TEST WILL HAVE TOTAL 6O QUESTIONS ANT 90 MINUTE TIME.

THERE IS NEGATIVE MARKING OF 1/4 MARKS.

FINAL MERIT LIST WE BE MADE ON ONLY AND ONLY WRITTEN EXAM.

SO PREPARE WELL FOR WRITTEN EXAM.

WRITTEN EXAM SYLLABUS

QUESTIONS WILL BE ASKED FROM THREE TOPICS THESE ARE FOLLOWING

1- Electronic Mechanic TRADE THEORY (40 QUESTIONS)

1 -Trade and Orientation Introduction to NCVT and certification mechanism 2- Hand Tools and their uses Identification, specifications, uses and maintenance of commonly used hand tools. 3- Basics of AC and Electrical Cables Basic terms such as electric charges, Potential difference, Voltage, Current, Resistance. Basics of AC & DC.

4- Cells & Batteries Battery /Cells 5 -Passive Components Ohm’s law and its variables. 6- Transformers Working principle of a Transformer, Transformer construction, Types of cores used. 7- AC & DC measurements Introduction to electrical measuring instruments, Importance of meter, classification of meters, forces necessary to work a meter. 8- Soldering & De-soldering and switches Different types of soldering guns, related to Temperature and wattages, types of tips. 9- Rectiers Semiconductor component number coding for different electronic components such as Diodes, Zeners. 10 -IC Regulators Regulated Power supply using 78XX series, 79XX series, Op-amp regulator, 723 regulators, (Transistorized & IC-based) voltage regulation, error correction and amplification etc.

11- Computer Hardware, OS, MS office Networking Basic blocks of a computer, Hardware and software, I/O devices, keyboard, types of mouse and their working, Different types of printers, their function and inter-connection and their advantages HDD, CDD, DVD.

1 2-Transistor Construction, Working of a PNP and NPN Transistors. Purpose of E, B & C Terminals. 13- Amplier Transistor (CB, CE & CC) configurations and their characteristics and applications 14- wave shaping circuits Diode shunt clipper circuits and Clamping /limiting circuits and their applications. 15- Power Electronic Components Construction of FET, differentiate it with BJT. 16- MOSFET & IGBT Working of MOSFET, Power MOSFET and IGBT – their types, characteristics, switching speed, power ratings and protection.

17- Opto Electronics Working and application of LED, IR LEDs, Photodiode ,phototransistor, its characteristics and application, optical sensor, optocouplers, circuits with optoisolators, characteristics of LASER diodes 18- Basic SMD (2,3,4 terminal components) Introduction to SMD technology Identification of 2,3,4 terminal SMD components, advantages of SMD components over conventional lead components 19-Basic Gates Introduction to Digital Electronics 20-Combinational Circuits Combinational logic circuits such as Half Adder, Full adder, Parallel Binary adders, 2-bit and four-bit full adders. 21- Flip Flops Introduction to Flip-Flop. S-R Latch, Gated S-R Latch, D- Latch. 22-Electronic circuit simulation software Study the library components available in the circuit simulation software. Various resources of the software. 23- Counter & shift Registers Basics of Counters, types of counters, two-bit and three-bit Asynchronous binary counters and decade counters with the timing diagrams

24-Digital Storage Oscilloscope Block diagram of DSO/CRO and applications of DSO/CRO application of digital CRO, block diagram of the function generator. 25- SMD Soldering and De-soldering Soldering / de-soldering of the above components 26- PCB Rework ESD Control in Electronics 27- Protection devices Fuse ratings, types of Fuses, Fuse bases, single/three-phase MCBs, single-phase ELCBs. 28-Electrical control circuits Fundamentals of single phase Induction motors, synchronous speed, slip, rotor frequency, torque-speed characteristics, Starters used for Induction motors.

29- Electronic Cables & Connectors Cable signal diagram conventions Classification of electronic cables as per the application w.r.t. insulation, gauge, current capacity, flexibility etc. 30-Communication electronics Radio Wave Propagation – Principle, Fading, Need for Modulation, types of modulation. 31- Microcontroller (8051) Introduction to 8051 Microcontroller, architecture, pin details & the bus system 32- Sensors, Transducers and Applications Basics of passive and active transducers. 33- Analog IC Applications Discussion on the identified projects with respect to data of the concerned ICs, components used in the project 34- Digital IC Applications Discussion on the identified projects with respect to data of the concerned ICs, components used in the project

2-MATHS (10 QUESTIONS )

1-TRIGONOMETRY

2-SIMPLIFICATION

3-AGE,TIME ,PIPE ,TRAIN ,RELATED QUESTIONS

4- BASIC 2D,3D GEOMETRY

5-PROGRESSION

ETC.

3-BASIC PHYSICS (10 QUESTIONS)

1-HEAT

2-ELECTRICITY

3-ENERGY

4-NUTONS LAW

5-ELECTRIC,MAGNETIC FIELD

6-TEMPERATURE

ETC.

FREE TIPS

IF YOU REALY WANT TO GET THIS JOB, YOU HAVE TO READ YOUR ITI FITTER TRADE BOOK OF ALL SEMESTER.

HERE WE WILL KNOW THE DETAILS OF ISRO TECHNICIAN-B(FITTER) DETAIL SYLLABUS, EXAM PATTERN, OLD PAPERS, BOOKS 2019

EXAM PATTERN

FIRST OF ALL, YOU WILL BE APPEAR IN A WRITTEN EXAMINATION AND YOU HAVE TO QUALIFY MINIMUM MARKS SO THAT YOU CAN GIVE SKILL TEST, HENCE EXAM PATTERN IS LIKE THIS-

1-WRITTEN EXAM

2-SKILL TEST (INTERVIEW)

WRITTEN TEST WILL HAVE TOTAL 6O QUESTIONS ANT 90 MINUTE TIME.

THERE IS NEGATIVE MARKING OF 1/4 MARKS.

FINAL MERIT LIST WE BE MADE ON ONLY AND ONLY WRITTEN EXAM.

SO PREPARE WELL FOR WRITTEN EXAM.

WRITTEN EXAM SYLLABUS

QUESTIONS WILL BE ASKED FROM THREE TOPICS THESE ARE FOLLOWING

1-FITTER TRADE THEORY (40 QUESTIONS)

NOTE-IF YOU WANT REALY SCORE HIGH MARKS YOU MUST STUDY YOUR ITI FITTER TRADE ALL SEMESTER (ALL YEAR) BOOKS THOROUGHLY.

Importance of safety and general precautions observed in the industry/shop floor. All necessary guidance to be provided to the newcomers to become familiar with the working of the Industrial Training Institute system including stores procedures. Soft Skills: its importance and Job area after completion of training. Introduction of First aid. Operation of electrical mains. Introduction of PPEs. Introduction to 5S concept & its application. Response to emergencies eg; power failure, fire, and system failure.

Linear measurements- its units, dividers, calipers, hermaphrodite, centre punch, dot punch, their description and uses of different types of hammers. Description, use and care of „V‟ Blocks, marking off table.

Bench vice construction, types, uses, care & maintenance, vice clamps, hacksaw frames and blades, specification, description, types and their uses, method of using hacksaws. Files- specifications, description, materials, grades, cuts, file elements, uses. Measuring standards (English, Metric Units), angular measurements, subdivisions, try square,

Marking off and layout tools, dividers, scribing block, odd leg calipers, punchesdescription, classification, material, care & maintenance.

Surface plate and auxiliary marking equipment, „V‟ block, angle plates, parallel block, description, types and uses, workshop surface plate- their uses, accuracy, care and maintenance. Types of files- convexing, taper, needle, care and maintenance of files, various types of keys, allowable clearances & tapers, types, uses of key pullers.

Physical properties of engineering metal: colour, weight, structure, and conductivity, magnetic, fusibility, specific gravity. Mechanical properties: ductility, malleability hardness, brittleness, toughness, tenacity, and elasticity

Power Saw ,band saw, Circular saw machines used for metal sections cutting

Drilling processes: common type (bench type, pillar type, radial type), gang and multiple drilling machine. Determination of tap drill size.

ETC.

2-MATHS (10 QUESTIONS )

1-TRIGONOMETRY

2-SIMPLIFICATION

3-AGE,TIME ,PIPE ,TRAIN ,RELATED QUESTIONS

4- BASIC 2D,3D GEOMETRY

5-PROGRESSION

ETC.

3-BASIC PHYSICS (10 QUESTIONS)

1-HEAT

2-ELECTRICITY

3-ENERGY

4-NUTONS LAW

5-ELECTRIC,MAGNETIC FIELD

6-TEMPERATURE

ETC.

FREE TIPS

IF YOU REALY WANT TO GET THIS JOB, YOU HAVE TO READ YOUR ITI FITTER TRADE BOOK OF ALL SEMESTER.

here we will see detail syllabus of Bihar Police SI, Sergeant & Jail Superintendent exam pattern, physical, old papers and much more important things.

exam pattern

1-pre exam.

2-main exam.

3-physical test.

4-final merit list.

we will see this one by one.

PRE EXAM DETAIL SYLLABUS

IMPORTANT POINTS –

1-NEGATIVE MARKING OF .20 MARKS IS THERE.

2-YOU HAVE TO ONLY QUALIFY IN THIS EXAM MEANS YOU HAVE TO SCORE 60 MARKS MINIMUM SO THAT YOU CAN APPEAR IN the MAIN EXAM.

3-PRE EXAMINATION MARKS WILL NOT COUNT FOR MERIT LIST.

4- YOU HAVE TO PREPARE ONLY GENERAL KNOWLEDGE AND CURRENT AFFAIRS ONLY.

MAIN EXAM DETAIL SYLLABUS

IMPORTANT POINTS-

1-THERE IS TWO PAPERS

(A)- paper 1 GENERAL HINDI

in this 100 questions,200 marks will be .ther is negative marking of .2 marks .in this exam you have to only qualify, these marks will not count for final merit list.

(B)-paper 2

GENERAL STUDY

This is not a bounded syllabus. It is like the more you read daily the more you become familiar and get acquainted with the essence of the general knowledge. Being the civil services exam, general studies have laid down the list of subjects and topics to be covered in the syllabus but again it depends on the depth up to which you can take it.

Reading newspapers, history, political science, current affairs, technology, policies, new innovations and geography is something which is more important while studying the general studies.

GENERAL SCIENCE- It includes basic Biology, physics and chemistry.

CIVIX

HISTORY

GEOGRAPHY

GENERAL MATHS

MENTAL ABILITY

in this 100 questions,200 marks will be .ther is negative marking of .2 marks

MERIT LIST WILL BE MADE ON THE BASIS OF PAPER 2 ONLY, YOU HAVE TO PREPARE PAPER 2 VERY STRONGLY.

PHYSICAL

NOTE –

In the physical test, you have to only qualify.

EX-SERVICEMAN IS EXEMPTED FROM PHYSICAL TEST.

FINAL MERIT LIST

Merit list will be made on paper 2 of the main examination, so each candidate has to prepare very well for paper 2.

HERE WE WILL SEE DETAIL SYLLABUS AND EXAM PATTERN OF CTET PAPER -01

EXAM PATTERN–

The test items on Child Development and Pedagogy will focus on educational psychology of teaching and learning relevant to the age group of 6-11 years

They will focus on understanding the characteristics and needs of diverse learners, interaction with learners and the attributes and qualities of a good facilitator of learning.

The Test items in Language I will focus on the proficiencies related to the medium of instruction.

The Test items in Language II will focus on the elements of language, communication and comprehension abilities.

The Test items in Mathematics and Environmental Studies will focus on the concepts, problem-solving abilities and pedagogical understanding and applications of the subjects.

The questions in the test for Paper I will be based on the topics prescribed in syllabus of the NCERT for classes I – V but their difficulty standard, as well as linkages, could be up to the Secondary stage.

Opt two languages in which you wish to appear for CTET : List of languages and code are as follows:

DETAIL SYLLABUS-

I. Child Development and Pedagogy

a) Child Development (Primary School Child) 15 Questions

• Concept of development and its relationship with learning

• Principles of the development of children

• Influence of Heredity & Environment

• Socialization processes: Social world & children (Teacher, Parents, Peers)

• Piaget, Kohlberg and Vygotsky: constructs and critical perspectives

• Concepts of child-centered and progressive education

• Critical perspective of the construct of Intelligence

• Multi-Dimensional Intelligence

• Language & Thought

• Gender as a social construct; gender roles, gender-bias and educational practice

• Individual differences among learners, understanding differences based on diversity of language, caste, gender, community, religion etc. •

The distinction between Assessment for learning and assessment of learning; School-Based Assessment, Continuous & Comprehensive Evaluation: perspective and practice

• Formulating appropriate questions for assessing readiness levels of learners; for enhancing learning and critical thinking in the classroom and for assessing learner achievement.

b) Concept of Inclusive education and understanding children with special needs 5 Questions

• Addressing learners from diverse backgrounds including disadvantaged and deprived

• Addressing the needs of children with learning difficulties, ‘impairment’etc.

• Addressing the Talented, Creative, Specially abled Learners

c) Learning and Pedagogy 10 Questions

• How children think and learn; how and why children ‘fail’ to achieve success in school performance.

• Basic processes of teaching and learning; children’s strategies of learning; learning as a social activity; social context of learning.

• Child as a problem solver and a ‘scientific investigator’

• Alternative conceptions of learning in children, understanding children’s ‘errors’ as significant steps in the learning process.

• Cognition & Emotions

• Motivation and learning

• Factors contributing to learning – personal & environmental

II. Language I 30 Questions –

a) Language Comprehension 15 Questions

Reading unseen passages – two passages one prose or drama and one poem with questions on comprehension, inference, grammar and verbal ability (Prose passage may be literary, scientific, narrative or discursive)

b) Pedagogy of Language Development 15 Questions

• Learning and acquisition

• Principles of language Teaching

• Role of listening and speaking; function of language and how children use it as a tool

• Critical perspective on the role of grammar in learning a language for communicating ideas verbally and in written form

• Challenges of teaching language in a diverse classroom; language difficulties, errors and disorders

• Language Skills

• Evaluating language comprehension and proficiency: speaking, listening, reading and writing

• Teaching- learning materials: Textbook, multi-media materials, multilingual resource of the classroom

• Remedial Teaching

III. Language – II 30 Questions –

a) Comprehension 15 Questions

Two unseen prose passages (discursive or literary or narrative or scientific) with question on comprehension, grammar and verbal ability

b) Pedagogy of Language Development 15 Questions

• Learning and acquisition

• Principles of language Teaching

• Role of listening and speaking; function of language and how children use it as a tool

• Critical perspective on the role of grammar in learning a language for communicating ideas verbally and in written form;

• Challenges of teaching language in a diverse classroom; language difficulties, errors and disorders

• Language Skills

• Evaluating language comprehension and proficiency: speaking, listening, reading and writing

• Teaching – learning materials: Textbook, multi-media materials, multilingual resource of the classroom

• Remedial Teaching

IV Mathematics 30 Questions

a) Content 15 Questions

• Geometry

• Shapes & Spatial Understanding

• Solids around Us

• Numbers

• Addition and Subtraction

• Multiplication

• Division

• Measurement

• Weight

• Time

• Volume

• Data Handling

• Patterns

• Money

b) Pedagogical issues 15 Questions

• Nature of Mathematics/Logical thinking; understanding children’s thinking and reasoning patterns and strategies of making meaning and learning

• Place of Mathematics in Curriculum

• Language of Mathematics

• Community Mathematics

• Evaluation through formal and informal methods

• Problems of Teaching

• Error analysis and related aspects of learning and teaching

TRADE TEST IS THE MOST IMPORTANT BECAUSE AROUND 45 % SYLLABUS IS COVERED BY ONLY AND ONLY TRADE SYLLABUS, SO YOU MUST GOOD ENOUGH IN TRADE, IT WILL BE SEPARATE FOR EACH TRADE

1-FITTER (YOU MAY REFER YOUR ITI BOOKS)

2-WIREMAN (YOU MAY REFER YOUR ITI BOOKS)

3-TURNER (YOU MAY REFER YOUR ITI BOOKS)

4-MACHINIST (YOU MAY REFER YOUR ITI BOOKS)

UPSSSC Assistant Boring Technician (ABT) IMPORTANT LINK

The Examination of SSC JUNIOR ENGINEER (J E ) will consist of two Papers i.e. Paper-I (Computer Based Examination) and Paper-II (Descriptive Type).

FINAL MERIT LIST WILL BE MADE ON MARKS SCORE IN BOTH PAPERS

PAPER -1

Objective Type

Computer Base Examination

The Paper-I will consist of Objective Type, Multiple choice questions only. The questions will be set both in English & Hindi.

There will be negative marking of 0.25 marks for each wrong answer in Paper-I. Candidates are, therefore, advised to keep this in mind while answering the questions.

Marks scored by candidates in Paper-I will be normalized

DETAIL SYLLABUS PAPER-1

General Intelligence & Reasoning:

The Syllabus for General Intelligence would include questions of both verbal and non-verbal type.

The test may include questions on analogies, similarities, differences, space visualization, problem solving, analysis, judgment, decision making, visual memory, discrimination, observation, relationship concepts, arithmetical reasoning, verbal and figure classification, arithmetical number series, etc.

The test will also include questions designed to test the candidate‟s abilities to deal with abstract ideas and symbols and their relationships, arithmetical computations and other analytical functions.

General Awareness:

Questions will be aimed at testing the candidate‟s general awareness of the environment around him/ her and its application to society. Questions will also be designed to test knowledge of current events and of such matters of everyday observations and experience in their scientific aspect as may be expected of any educated person.

The test will also include questions relating to India and its neighbouring countries especially pertaining to History, Culture, Geography, Economic Scene, General Polity and Scientific Research, etc. These questions will be such that they do not require a special study of any discipline.

Part-A (Civil Engineering):

Building Materials, Estimating, Costing and Valuation, Surveying, Soil Mechanics, Hydraulics, Irrigation Engineering, Transportation Engineering, Environmental Engineering. Structural Engineering: Theory of Structures, Concrete Technology, RCC Design, Steel Design.

Part-B (Electrical Engineering):

Basic concepts, Circuit law, Magnetic Circuit, AC Fundamentals, Measurement and Measuring instruments, Electrical Machines, Fractional Kilowatt Motors and single phase induction Motors, Synchronous Machines, Generation, Transmission and Distribution, Estimation and Costing, Utilization and Electrical Energy, Basic Electronics.

Part-C ( Mechanical Engineering):

Theory of Machines and Machine Design, Engineering Mechanics and Strength of Materials, Properties of Pure Substances, 1st Law of Thermodynamics, 2nd Law of Thermodynamics, Air standard Cycles for IC Engines, IC Engine Performance, IC Engines Combustion, IC Engine Cooling & Lubrication, Rankine cycle of System, Boilers, Classification, Specification, Fitting & Accessories, Air Compressors & their cycles, Refrigeration cycles, Principle of Refrigeration Plant, Nozzles & Steam Turbines.

Properties & Classification of Fluids, Fluid Statics, Measurement of Fluid Pressure, Fluid kinematics, Dynamics of Ideal fluids, Measurement of Flow rate, basic principles, Hydraulic Turbines, Centrifugal Pumps, Classification of steel.

PAPER -2

Paper-II (Descriptive Type)

Written Examination

NO NEGATIVE MARKING

YOU HAVE TO WRITE YOUR ANSWER ON PAPER

Candidates are allowed to bring their own Slide–Rule, Calculator, Logarithm Table and Steam Table for Paper-II only.

The Paper-II will have to be written either in Hindi or in English. Part paper written in Hindi and part in English will be awarded zero marks.

PAPER -2 DETAIL SYLLABUS

Part-A (Civil & Structural Engineering):

Building Materials:

Physical and Chemical properties, classification, standard tests, uses and manufacture/ quarrying of materials e.g. building stones, silicate based materials, cement (Portland), asbestos products, timber and wood based products, laminates, bituminous materials, paints, varnishes.

Estimating, Costing and Valuation:

estimate, glossary of technical terms, analysis of rates, methods and unit of measurement, Items of work – earthwork, Brick work (Modular & Traditional bricks), RCC work, Shuttering, Timber work, Painting, Flooring, Plastering, Boundary wall, Brick building, Water Tank, Septic tank, Bar bending schedule, Centre line method, Mid-section formula, Trapezodial formula, Simpson‟s rule, Cost estimate of Septic tank, flexible pavements, Tube well, isolates and combined footings, Steel Truss, Piles and pile-caps. Valuation – Value and cost, scrap value, salvage value, assessed value, sinking fund, depreciation and obsolescence, methods of valuation.

Surveying:

Principles of surveying, measurement of distance, chain surveying, working of prismatic compass, compass traversing, bearings, local attraction, plane table surveying, theodolite traversing, adjustment of theodolite, Levelling, Definition of terms used in levelling, contouring, curvature and refraction corrections, temporary and permanent adjustments of dumpy level, methods of contouring, uses of contour map, tachometric survey, curve setting, earth work calculation, advanced surveying equipment

Soil Mechanics:

Origin of soil, phase diagram, Definitions-void ratio, porosity, degree of saturation, water content, specific gravity of soil grains, unit weights, density index and interrelationship of different parameters, Grain size distribution curves and their uses Index properties of soils, Atterberg‟s limits, ISI soil classification and plasticity chart Permeability of soil, coefficient of permeability, determination of coefficient of permeability, Unconfined and confined aquifers, effective stress, quick sand, consolidation of soils, Principles of consolidation, degree of consolidation, pre-consolidation pressure, normally consolidated soil, e-log p curve, computation of ultimate settlement Shear strength of soils, direct shear test, Vane shear test, Triaxial test Soil compaction, Laboratory compaction test, Maximum dry density and optimum moisture content, earth pressure theories, active and passive earth pressures, Bearing capacity of soils, plate load test, standard penetration test

Hydraulics:

Fluid properties, hydrostatics, measurements of flow, Bernoulli‟s theorem and its application, flow through pipes, flow in open channels, weirs, flumes, spillways, pumps and turbines

Irrigation Engineering:

Definition, necessity, benefits, 2II effects of irrigation, types and methods of irrigation, Hydrology – Measurement of rainfall, run off coefficient, rain gauge, losses from precipitation – evaporation, infiltration, etc Water requirement of crops, duty, delta and base period, Kharif and Rabi Crops, Command area, Time factor, Crop ratio, Overlap allowance,

Irrigation efficiencies Different type of canals, types of canal irrigation, loss of water in canals Canal lining – types and advantages Shallow and deep to wells, yield from a well Weir and barrage, Failure of weirs and permeable foundation, Slit and Scour, Kennedy‟s theory of critical velocity Lacey‟s theory of uniform flow Definition of flood, causes and effects, methods of flood control, water logging, preventive measure Land reclamation, Characteristics of affecting fertility of soils, purposes, methods, description of land and reclamation processes Major irrigation projects inIndia

Transportation Engineering:

Highway Engineering – cross sectional elements, geometric design, types of pavements, pavement materials – aggregates and bitumen, different tests, Design of flexible and rigid pavements – Water Bound Macadam (WBM) and Wet Mix Macadam (WMM), Gravel 16 Road, Bituminous construction, Rigid pavement joint, pavement maintenance, Highway drainage, Railway Engineering- Components of permanent way – sleepers, ballast, fixtures and fastening, track geometry, points and crossings, track junction, stations and yards Traffic Engineering – Different traffic survey, speed-flow-density and their interrelationships, intersections and interchanges, traffic signals, traffic operation, traffic signs and markings, road safety

Environmental Engineering:

Quality of water, source of water supply, purification of water, distribution of water, need of sanitation, sewerage systems, circular sewer, oval sewer, sewer appurtenances, sewage treatments Surface water drainage Solid waste management – types, effects, engineered management system Air pollution – pollutants, causes, effects, control Noise pollution – cause, health effects, control

Structural Engineering:

Theory of structures: Elasticity constants, types of beams – determinate and indeterminate, bending moment and shear force diagrams of simply supported, cantilever and over hanging beams Moment of area and moment of inertia for rectangular & circular sections, bending moment and shear stress for tee, channel and compound sections, chimneys, dams and retaining walls, eccentric loads, slope deflection of simply supported and cantilever beams, critical load and columns, Torsion of circular section

Concrete Technology:

Properties, Advantages and uses of concrete, cement aggregates, importance of water quality, water cement ratio, workability, mix design, storage, batching, mixing, placement, compaction, finishing and curing of concrete, quality control of concrete, hot weather and cold weather concreting, repair and maintenance of concrete structures

RCC Design:

RCC beams-flexural strength, shear strength, bond strength, design of singly reinforced and double reinforced beams, cantilever beams T-beams, lintels One way and two way slabs, isolated footings Reinforced brick works, columns, staircases, retaining wall, water tanks (RCC design questions may be based on both Limit State and Working Stress methods)

Steel Design:

Steel design and construction of steel columns, beams roof trusses plate girders

Part-B (Electrical Engineering):

Basic concepts:

Concepts of resistance, inductance, capacitance, and various factors affecting them Concepts of current, voltage, power, energy and their units

Circuit law

Kirchhoff‟s law, Simple Circuit solution using network theorems

Magnetic Circuit:

Concepts of flux, mmf, reluctance, Different kinds of magnetic materials, Magnetic calculations for conductors of different configuration eg straight, circular, solenoidal, etc Electromagnetic induction, self and mutual induction

AC Fundamentals:

Instantaneous, peak, RMS and average values of alternating waves, Representation of sinusoidal wave form, simple series and parallel AC Circuits consisting of RL and C, Resonance, Tank Circuit Poly Phase system – star and delta connection, 3 phase power, DC and sinusoidal response of R-Land R-C circuit

Measurement and measuring instruments:

Measurement of power (1 phase and 3 phase, both active and re-active) and energy, 2 wattmeter method of 3 phase power measurement, Measurement of frequency and phase angle Ammeter and voltmeter (both moving oil and moving iron type), extension of range wattmeter, Multimeters, Megger, Energy meter AC Bridges Use of CRO, Signal Generator, CT, PT and their uses Earth Fault detection

Electrical Machines :

(a) DC Machine – Construction, Basic Principles of DC motors and generators, their characteristics, speed control and starting of DC Motors Method of braking motor, 17 Losses and efficiency of DC Machines (b) 1 phase and 3 phase transformers – Construction, Principles of operation, equivalent circuit, voltage regulation, OC and SC Tests, Losses and efficiency Effect of voltage, frequency and wave form on losses Parallel operation of 1 phase /3 phase transformers Auto transformers (c) 3 phase induction motors, rotating magnetic field, principle of operation, equivalent circuit, torque-speed characteristics, starting and speed control of 3 phase induction motors Methods of braking, effect of voltage and frequency

variation on torque speed characteristics Fractional Kilowatt Motors and Single Phase Induction Motors: Characteristics and applications

Synchronous Machines –

Generation of 3-phase emf armature reaction, voltage regulation, parallel operation of two alternators, synchronizing, control of active and reactive power Starting and applications of synchronous motors

Generation, Transmission and Distribution –

Different types of power stations, Load factor, diversity factor, demand factor, cost of generation, inter-connection of power stations Power factor improvement, various types of tariffs, types of faults, short circuit current for symmetrical faults Switchgears – rating of circuit breakers, Principles of arc extinction by oil and air, HRC Fuses, Protection against earth leakage / over current, etc Buchholtz relay, Merz-Price system of protection of generators & transformers, protection of feeders and bus bars Lightning arresters, various transmission and distribution system, comparison of conductor materials, efficiency of different system Cable – Different type of cables, cable rating and derating factor

Estimation and costing :

Estimation of lighting scheme, electric installation of machines and relevant IE rules Earthing practices and IE Rules

Utilization of Electrical Energy :

Illumination, Electric heating, Electric welding, Electroplating, Electric drives and motors

Basic Electronics :

Working of various electronic devices eg P N Junction diodes, Transistors (NPN and PNP type), BJT and JFET Simple circuits using these devices

Part- C (mechanical engineering):

Theory of Machines and Machine Design:

Concept of simple machine, Four bar linkage and link motion, Flywheels and fluctuation of energy, Power transmission by belts – V-belts and Flat belts, Clutches – Plate and Conical clutch, Gears – Type of gears, gear profile and gear ratio calculation, Governors – Principles and classification, Riveted joint, Cams, Bearings, Friction in collars and pivots

Engineering Mechanics and Strength of Materials:

Equilibrium of Forces, Law of motion, Friction, Concepts of stress and strain, Elastic limit and elastic constants, Bending moments and shear force diagram, Stress in composite bars, Torsion of circular shafts, Bucking of columns – Euler‟s and Rankin‟s theories, Thin walled pressure vessels

Thermal Engineering:

Properties of Pure Substances: p-v & P-T diagrams of pure substance like H2O, Introduction of steam table with respect to steam generation process; definition of saturation, wet & superheated status Definition of dryness fraction of steam, degree of superheat of steam H-s chart of steam (Mollier‟s Chart)

1 st Law of Thermodynamics: Definition of stored energy & internal energy, 1st Law of Thermodynamics of cyclic process, Non Flow Energy Equation, Flow Energy & Definition of Enthalpy, Conditions for Steady State Steady Flow; Steady State Steady Flow Energy Equation

2 nd Law of Thermodynamics: Definition of Sink, Source Reservoir of Heat, Heat Engine, Heat Pump & Refrigerator; Thermal Efficiency of Heat Engines & co-efficient of performance of 18 Refrigerators, Kelvin – Planck & Clausius Statements of 2nd Law of Thermodynamics, Absolute or Thermodynamic Scale of temperature, Clausius Integral, Entropy, Entropy change calculation of ideal gas processes Carnot Cycle & Carnot Efficiency, PMM-2; definition & itsimpossibility

Air standard Cycles for IC engines:

ot on P-V, T-S planes; Thermal efficiency. IC Engine Performance, IC Engine Combustion, IC Engine Cooling & Lubrication

Rankine cycle of steam:

Simple Rankine cycle plot on P-V, T-S, h-s planes, Rankine cycle efficiency with & without pump work Boilers; Classification; Specification; Fittings & Accessories: Fire Tube & Water Tube Boilers Air Compressors & their cycles; Refrigeration cycles; Principle of a Refrigeration Plant; Nozzles & Steam Turbines

Fluid Mechanics & Machinery:

Properties & Classification of Fluid: ideal & real fluids, Newton‟s law of viscosity, Newtonian and Non-Newtonian fluids, compressible and incompressible fluids Fluid Statics: Pressure at a point Measurement of Fluid Pressure: Manometers, U-tube, Inclined tube Fluid Kinematics: Stream line, laminar & turbulent flow, external & internal flow, continuity equation Dynamics of ideal fluids: Bernoulli‟s equation, Total head; Velocity head; Pressure head; Application of Bernoulli‟s equitation

Measurement of Flow rate Basic Principles: Venturimeter, Pilot tube, Orifice meter Hydraulic Turbines: Classifications, Principles Centrifugal Pumps: Classifications, Principles,

Classification of Steels :

mild steal & alloy steel, Heat treatment of steel, Welding – Arc Welding, Gas Welding, Resistance Welding, Special Welding Techniques ie TIG, MIG, etc (Brazing & Soldering), Welding Defects & Testing; NDT, Foundry & Casting – methods, defects, different casting processes, Forging, Extrusion, etc, Metal cutting principles, cutting tools, Basic Principles of machining with (i) Lathe (ii) Milling (iii) Drilling (iv) Shaping (v) Grinding, Machines, tools & manufacturing processes.

सबसे पहले आपका रिटेन एग्जाम होगा रिटेन एग्जाम में पास होने के बाद आपको एक इंटरव्यू टेस्ट देना होगा फिर बाद में रिटन एक्जाम तथा इंटरव्यू के नंबर को साथ में रखकर एक फाइनल मेरिट लिस्ट बनाई जाएगी अगर आपका उसमें नाम आ जाता है तो अब फाइनली सिलेक्ट होंगे

WRITTEN EXAM

DETAIL SYLLABUS GEOGRAPHY

Topic I:

Geography as a disciplineGeographical ideas in ancient, medieval & modern periods: the contributions of Varenius, Kant, Reine, Humboldt and Ritter. Influence of Richthofen and Darwin. Videl-da-la Blache, F. Ratzel etc.

Contemporary geography: Post Second World War, Environmentalism, Areal Differentiation, spatial organization, Behavioural and perceptual Geography. Positivism in Geography. Humanistic Geography. Marxist Geography and critical social theory. Development in Indian Geography.

Topic-2 Origin and Evolution of the Earth

Introduction to the solar system, Motions of Earth: Rotation, Revolution, Occurrence of Day and Night; change of seasons; Latitudes and Longitudes; Finding time.

Earth’s Interior: Origin of contents and ocean basis Wagener’s Continental drift theory, Theory of Plate Tectonics Earthquakes and Volcanoes, Folding and faulting Origin of the Earth: Nebular hypothesis (old Theory) and Big-Bang Theory. Evolution of continents, atmosphere and oceans.

Topic-3

Interior of the Earth and Distribution of oceans and continentsConstitution of Earth’s interior (based on Seismic Evidences), origin of the continents and ocean basins. Wegner’s theory of Continental drift and Plate Tectonics. Plate movements and interactions-Volcanism and seismicity.

Topic-4 LandformsMineral and rocks-

classification of rocks, rock cycle. Important minerals geomorphic process of denudation Endogenic and Exogenic processes. Mass Wasting, Landslide, Work of River, Glacier Wind, Sea Waves etc, processes of soil formation.

Topic-5 Climate: Atmosphere:

Composition and structure. Insolation and temperature, Atmospheric pressure and winds, Atmospheric moisture, cyclones, classification of climate (Koeppen and Thornthwaite Schemes classification). Global climatic changes: Causes and effects.

Topic-6 Water (Ocean)

Geomorphology of the ocean floor, submarine relief features of Atlantic, Pacific and Indian Ocean. Movement of ocean water: Currents, tides and waves. Marine deposits and coral reefs.

Topic -7 Life on the Earth

Approaches in environmental Geography, landscape, ecosystem and perception approaches, Man and the Biosphere: Interactive and dynamic relationship. Human impact on biogeochemical cycles.

Topic-8 India:

Geographical basis of Indian State-territory; location, extent, shape and size.

Topic-9 Physiography:

Structure, Physiographic divisions, Drainage system and its evolution.

Topic-10 Climate,

Vegetation and SoilClimate: factors controlling climate of India Origin and mechanism of Indian monsoon; Seasons of India, Classification of climate of India (Koeppen’s, Thornthwaite, Triwartha). Soils: Type and distribution (I.C.A.R.), Soil problems, conservation of soil Vegetation- Types & Distribution; conservation Wild Life- its conservation.

Topic-11 Natural Hazards and disastersCauses,

Consequences and management in India Environmental Hazards: Floods, droughts, cyclones, earthquakes and landslides; human adjustment to hazards; hazards perception and mitigation; environmental institutions and legislation in India.

Topic-12 Human Geography:

Nature and Scope. Nature and scope of Human Geography, Approaches to the Human Geography, Determinism, Environmental Determinism, Possibilism, Neo-determinism, ecological and Behaviouralism.

Topic -13 People (World and India)

Trends and patterns of population growth: determinants and patterns of population distribution; theories, demographic transition; Human migration, Patterns of human development.

Topic-14 Human Activities:

(World and India) Primary: -Hunting, gathering, Herding (Nomadic & Commercial) Lumbering fishing, mining and agriculture; Agricultural practices; some major crops.

Secondary: – Industries: Classification, Theories of localization, major Industries, recent trends in industries, world comparisons.

Tertiary:-(Services) Quaternary-Quinary activities Planning in India: target area planning, idea of sustainable development

Topic-15 Transport,

Communication and Trade(World and India) Transport and communication Roads, railways, waterways and airways; oil and gas pipelines, national electric grids. Communication networking-radio, television, satellite and Internet.

International Trade-Basis and components, trade balance, major trading organizations, changing pattern of India’s foreign trade, sea-routes, inland water-ways, sea ports and their hinter-land.

Topic-16 Human settlements (World and India)

Unstable and stable settlements, rural settlements: origin, types and patterns; Urban settlements: Origin and growth of towns; functional classification of towns. Problems of urbanization in the world; urbanization in India; Urban slums and squatters. Morphology of cities; distribution of Mega-cities, problems of human settlements in Developing countries.

Topic -17

Geographical perspective on selected issues and problems Environmental pollution-Land, Water, Air, Noise, Global Warning, Poverty, Food Security; Sustainable Development.

Topic -18

General Cartography (Practicals) Elements and classification of maps, scales, map-projections, finding directions, latitudes, longitudes and calculation of local & standard time, Identification & Analysis of relief forms: Topographical Maps and interpretation.

Weather-instruments and interpretation of weather maps. Digital mapping, Remote sensing, Visual interpretation.

Processing of Data, Thematic mapping, representing statistical data by various diagrams-Bar, Histogram, Pie etc.

Spatial Information technology: GIS, GPS, Computers-Software and Hardware components, Data format, Raster and Vector, editing and topology etc. Spatial Analysis; Overlay, Buffer and Proximity analysis.

INTERVIEW TIPS

आप का सब्जेक्ट नॉलेज और आपका ज्ञान आपका रिटेन एग्जाम में चेक हो चुका है | अब इंटरव्यू में आपसे मोस्टली आपकी टीचर क्वालिटी जांची जाएगी कि आप सही से समझा पाते हैं या नहीं समझा पाते हैं ,आप घबरा तो नहीं जाते हैं ,आप बच्चों के क्वेश्चन का जवाब दे पाएंगे या नहीं दे पाएंगे ,आपके अंदर अध्यापक के गुण हैं या नहीं है और थोड़ा बहुत आप का सब्जेक्ट नॉलेज पूछा जाएगा |

सबसे पहले आपका रिटेन एग्जाम होगा रिटेन एग्जाम में पास होने के बाद आपको एक इंटरव्यू टेस्ट देना होगा फिर बाद में रिटन एक्जाम तथा इंटरव्यू के नंबर को साथ में रखकर एक फाइनल मेरिट लिस्ट बनाई जाएगी अगर आपका उसमें नाम आ जाता है तो अब फाइनली सिलेक्ट होंगे |

WRITTEN EXAM

DETAIL SYLLABUS (CHEMISTRY)

Some Basic concepts of Chemistry:

Scope of chemistryHistorical approach to nature of matter – states of matter, properties of matter and its measurement, S. I system of units, Uncertainty in measurements, dimensional analysis, Laws of chemical combination, atomic and molecular masses, Mole concept and molar masses, percentage composition, empirical and molecular masses, equivalent weight, concept of limiting reagent

States of Matter:

Gases, liquids and solids, three states of matter, types of intermolecular forces. The laws governing ideal gas behaviour, Dalton’s law of partial pressure, Kinetic molecular theory of ideal gases, Maxwell Boltzmann distribution law on molecular motion, real gases – deviation from ideal behaviour, vander Waals equation.

Liquid and their properties. Solids: Classification of solids, fundamental types of lattices, two and three dimensional lattice types, Simple crystal structures, Transformation of crystal structure on varying temperature, Bragg’s law, density in solids, energy band, band gaps, semiconductors, magnetic and dielectric properties, stoichiometric and non- stoichiometric defects in solids.

Structure of Atom:

Structure of Atom (Classical Theory), Dalton’s atomic theory, Bohr’s model of atom, Structure of atom (modern theory), de Broglie’s relationship, Heisenberg’s uncertainty principal, Classical wave equation, Schrödinger’s wave equation, Probability distribution curve, Quantum numbers, Pauli’s exclusion principle, Aufbau principle, Hund’s rule of maximum multiplicity.

Equilibrium:

Reversible reactions, criteria of equilibrium, Law of mass action, equilibrium constant, Kc and Kp , Le Chatelier principle, Ionic equilibrium, Ostwald’s dilution Law, solution of acids, bases, ionic equilibria in solution, Common ion effect – its application to qualitative analysis, acids and bases, Bronsted- Lowry theory of acids and bases, Lewis concept of acid and bases, relative strengths of acids and bases, their quantitative estimation, buffer solution and its use, determination of pH, theories of indicators, conductometric titration, Solubility product, hydrolysis.

Surface Chemistry:

Adsorption, absorption, sorption, Physical adsorption, Chemisorption adsorption, isotherms ( Freundlich, Langmuir), application of adsorption, types of Catalysis theories of catalysis, classification of colloids, preparation of Colloidal Solution (lyophobic and lyophilic), Special characteristics of colloidal solutions , electrophoresis, Precipitation of colloids – Hardy Schulze law, multimolecular and macromolecular colloids, Emulsion and Gels.

Chemical Kinetics:

Theories of reaction rates, rate of reaction , molecularity and order of reaction, Fast reactions- Luminescence and energy transfer process, reaction mechanisms(Simple and complex reactions).

Redox Reaction and Electrochemistry:

Oxidation and reduction, redox reaction and its application, oxidation number, Strong and weak electrolytes, activity coefficient, conductance and conductivity, Kohlrausch law, resistance and resistivity molar conductivity, equivalent conductivity, Qualitative and quantitative aspect of electrolysis, electrochemical cell and electrolytic cell, Electrode and electrode potential and standard electrode potential, Electrochemical series and its applications, Nernst equation and its application, Equilibrium constant and EMF of the cell.

Solutions:

Solution and its types, expression of concentration of solution, solubility and factors affecting the solubility of a solid in a liquid (temperature and pressure), Vapour pressure of a liquid, Raoult’s law for both volatile and non volatile solute,Ideal and non ideal solution, Colligative properties, abnormal molecular masses and Van’t Hoff factor.

Chemical bonding and Molecular Structure:

Valence electrons and Lewis structures, Ionic bond, Covalent bond, Bond parameters ,Co-ordinate bond, polarity and dipole moment, Quantitative idea of – valence bond theory, molecular orbital theory (LCAO), Concept of hybridization involving s, p, d orbitals, Hydrogen bond, Resonance.

Thermodynamics:

Macroscopic properties of the system, modes of transfer of energy between system and surrounding, Phase transition, phase rule and phase diagram, First Law, second law and third law, of thermodynamics.

Internal energy and enthalpy of the reaction, their measurement and application, spontaneity of process, Entropy and spontaneity, Helmholtz and Gibb’s free energy, Thermodynamics of electrochemical cells.

Classification of elements and periodicity in properties:

Significance of classification, brief history of the development of periodic table, periodic laws, name of the elements with Z>100 according to IUPAC system, classification of elements into s, p, d, f –block elements and their characteristics, Periodic trends in the properties of elements – Ionization enthalpy, Electron gain enthalpy, electronegativity, atomic radii, ionic radii, periodicity of valency or oxidation state.

Hydrogen:

Position of Hydrogen in periodic table, occurrence, isotopes, Preparation of hydrogen, on small and commercial scale, hydrides, water, hard and soft water, heavy water, hydrogen peroxide, hydrogen economy, hydrogen as a fuel.

General principles and processes of isolation of elements and s – block elements:

Principles and methods of extraction, oxidation and reduction as applied to the extraction procedures of Al, Cu, Zn and Fe. s – block elements, general introduction – Electronic configuration, occurrence, Anomalous properties of the first element of each group, diagonal relationship,

Trends in variation of the properties, reaction of alkali and alkaline earth metals. Preparation and properties and uses of some important compounds: – sodium carbonate, sodium bicarbonate, sodium chloride, sodium hydroxide, calcium hydroxide and calcium carbonate, industrial uses of lime and lime stone, biological importance of sodium, potassium, magnesium and calcium.

p – Block Elements:

Electronic configuration, variation in physical and chemical properties of groups 13 to 18, physical and chemical properties of borax, boric acid, boron hydride, silicones, preparation and uses, preparation, properties and uses of nitrogen, ammonia, nitric acid and oxides of nitrogen, phosphorus – allotropic forms, preparation and properties of phosphine, phosphorus pentachloride and phosphorus trichloride,

preparation, properties and uses of oxygen and ozone, hydrides and halides of 16 group elements, their structure and nature, allotropic forms of sulphur- their preparation, preparation, properties and uses of sulphur dioxide, industrial preparation of oxo-acids of sulphur, preparation and properties of halogen and halogen acids, inter halogen compounds, pseudohalide ions.

Oxo-acids of halogens, their structure and nature, preparation, properties and uses of xenon fluorides, oxides of xenon and xenon oxo fluorides.

The d – and f- Block Elements:

General introduction, electronic configuration and general trend in the properties of first row transition metals like metallic character, ionization enthalpy, oxidation states, ionic radii, coloured ion formation, catalytic properties, magnetic properties, oxides, halides and sulphides of first row transition metals, complex compound formation etc. Preparation, properties and structures of KMnO4 and K2Cr2 O7, lanthanoids and actinoids.

Co-ordination Compounds and organometallics:

Meaning of co-ordination compounds, Werner’s theory, ligands – their types, IUPAC nomenclature of co- ordination compounds, isomerism, bonding in co-ordination compounds, colour, magnetic properties and, stabilities of co-ordination compounds. Chemical and biological importance of coordination compounds, metal carbonyls:

preparation, properties and bonding, organometallic compounds and their classification.

Organic Chemistry :

Some Basic Principles and Techniques: General Classification of organic compounds, Shapes of organic compounds-Hybridisation(sp, sp2 ,sp3 ), Structural representation of organic molecules, Functional groups, Homologous, series. Common or trivial names, nomenclature of aliphatic, aromatic and substituted aromatic compounds.

Isomerism : Structural and Stereo isomerism Fundamental Concepts in Reaction Mechanism: Cleavage of covalent bond, Types of attacking species, electron movement in organic reactions, electronic displacement in a covalent bond and types of organic reactions.

Methods of purification of organic compounds: Qualitative analysis, Quantitative analysis., estimation of the elements and determination of empirical and molecular formula.

Hydrocarbons:

Classification of hydrocarbons. Alkanes: Conformations (Newmann and Sawhorse formulae), Physical properties, Chemical reactions Cycloalkanes: Preparation, physical and chemical properties, stability of cycloalkanes(Bayer strain theory), chair and boat forms of cyclohexane. Alkenes:, structure of double bond, geometrical isomerism, physical properties, methods of preparation, chemical reactions

. Alkadienes: Classification of dienes, Preparation of conjugated dienes, Chemical properties(1,2 and 1,4- addition to conjugated dienes).

Alkynes:, structure of triple bond, physical properties, methods of preparation Chemical properties, Acidic nature of alkynes Aromatic Hydrocarbons:, Structure of benzene, resonance, aromaticity (Huckel’s rule) Chemical properties, mechanism of electrophilic substitution direct influence of substituents in monosubustituted benzene.

Environmental Chemistry:

Environmental pollution, Atmospheric pollution, Tropospheric pollution(Air pollution), Major air pollutants, Control of air pollution, Smog(Chemical and Photochemical smog), Stratospheric pollution: Ozone layer and its depletion, Acid rain, Green House Effect and Global warming, Water pollution, Soil pollution and Industrial waste.

Haloalkanes and Haloarenes:

Classification, methods of preparation of haloalkanes and haloarenes, their physical properties, tests to distinguish between alkyl and aryl halides, mechanism of SN1 and SN2 reactions, elimination reactions (Saytzeff Rule, E1 & E2 mechanism).Poly halogen compounds: Preparation and properties.

Alcohols, Phenols and Ethers:

Classification, preparation, properties and uses, tests to distinguish between primary, secondary and tertiary alcohols. Distinctions between alcohols and phenols. Preparation of ethers , physical and chemical properties.

Aldehydes, Ketones and Carboxylic Acids:

Structure of carbonyl group, preparation of aldehydes and ketones, physical , Chemical properties and uses, tests to distinguish between aldehydes and ketones .Preparations of carboxylic acids preparation properties and uses.

Amines (Organic compounds containing nitrogen ):

Classification, Structure of amino group, preparation, Physical, Chemical properties, tests to distinguish between primary, secondary and tertiary amines

Polymers:

Polymerization, Classification of polymers based on : origin, structure, molecular forces, mode of polymerization. Addition polymerization Condensation polymerization(Step-growth polymerization) Preparation of condensation polymers Synthetic and natural rubber and vulcanization, Determination of molecular mass of polymers:. Poly dispersity index(PDI). Bio-degradable polymers like PHBV.

Biomolecules(Biochemistry):

Carbohydrates: Classification of carbohydrates , Structural determination of glucose and fructose on the basis of their chemical properties, Open chain (Fischer) structure, cyclic structure(Haworth form), and forms of glucose, Mutarotation, anomers and epimers, Chemical reactions of glucose, Reducing and non-reducing sugars, Configuration of glucose and fructose. Disaccharides Sucrose, Haworth representation of disaccharides, Polysaccharides, Starch, Cellulose, and amylopectin structures, Functions of Carbohydrates in living organisms. Carbohydrate metabolism, glycolysis, electron-transport chain,

Proteins: Amino acids, Zwitter ion, Iso-electric point, peptides and peptide bond, Fibrous proteins, Globular proteins and their functions, Primary, Secondary(Helix and pleated sheet structures) and tertiary structure of proteins, denaturation and renaturation, Enzymes, specificity and mechanism of enzyme activity , coenzymes, applications of enzymes.

Nucleic acids : Nucleosides, Nucleotides, Structure of ATP, Photosynthesis(Light and dark reactions) Primary and Secondary structure of DNA(Double Helix structure) , biological functions of nucleic acids, Replication, Protein synthesis (Transcription, Translation, mutation), genetic code, genetic errors, Vitamins, classification, diseases caused by the deficiency of vitamins, Hormones (steroid hormones and non-steroid hormones) and their functions.

Chemistry in Everyday life:

Drugs and medicines – designing a drug, drug metabolism, classification of drugs, enzymes as drug targets, action of drug through drug receptor interaction, types of drugs: Antipyretics, Analgesics, antiseptics, disinfectants, tranquilizers, antimicrobials, antibiotics(Narrow spectrum and broad spectrum antibiotics), antifertility drugs, antihistmmines, antacids. Chemicals in food, Food preservatives, artificial sweetening agents, Soaps and detergents, Preparation soaps(Saponification) and detergents, cleansing action of soaps, advantages of detergents over soaps, Deodorants, Edible colours, antioxidants.

INTERVIEW TIPS

आप का सब्जेक्ट नॉलेज और आपका ज्ञान आपका रिटेन एग्जाम में चेक हो चुका है | अब इंटरव्यू में आपसे मोस्टली आपकी टीचर क्वालिटी जांची जाएगी कि आप सही से समझा पाते हैं या नहीं समझा पाते हैं ,आप घबरा तो नहीं जाते हैं ,आप बच्चों के क्वेश्चन का जवाब दे पाएंगे या नहीं दे पाएंगे ,आपके अंदर अध्यापक के गुण हैं या नहीं है और थोड़ा बहुत आप का सब्जेक्ट नॉलेज पूछा जाएगा |

सबसे पहले आपका रिटेन एग्जाम होगा रिटेन एग्जाम में पास होने के बाद आपको एक इंटरव्यू टेस्ट देना होगा फिर बाद में रिटन एक्जाम तथा इंटरव्यू के नंबर को साथ में रखकर एक फाइनल मेरिट लिस्ट बनाई जाएगी अगर आपका उसमें नाम आ जाता है तो अब फाइनली सिलेक्ट होंगे |

WRITTEN EXAM

Syllabus for written examination for PGT ( PHYSICS ) PART 4

Unit I: Physical World and Measurement Need for measurement:

Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures. dimensional analysis and its applications

Unit II: Kinematics

Frame of reference. Motion in a one ,two and three dimension: Position-time graph, speed and velocity.

Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion .

Vectors :Position and displacement vectors .addition and subtraction of vectors. Relative velocity.scalar product of vectors,Vector product of vectors. Unit vector; Resolution of a vector in a plane – rectangular components. Motion in a plane. Cases of uniform velocity and uniform acceleration-projectile motion.

Unit III: Laws of Motion

Intuitive concept of force. Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion. Law of conservation of linear momentum and its applications.

Equilibrium of concurrent forces. Types of friction, laws of friction, .Dynamics of uniform circular motion .

Unit IV: Work, Energy and Power

Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power. Notion of potential energy, potential energy of a spring, conservative forces:

conservation of mechanical energy (kinetic and potential energies); non-conservative forces: elastic and inelastic collisions in one and two dimensions.

Unit V: Motion of System of Particles and Rigid Body

Centre of mass of a two-particle system, momentum conversation and centre of mass motion. Centre of mass of a rigid body; centre of mass of uniform rod. ; moment of a force, torque, angular momentum, conservation of angular momentum with some examples.

Dynamics of rigid bodies, comparison of linear and rotational motions; moment of inertia, radius of gyration. Values of moments of inertia for geometrical objects.

Parallel and perpendicular axis theorems and their applications.

Unit VI: Gravitation

Keplar’s laws of planetary motion. The universal law of gravitation. Variation of Acceleration due to gravity and with altitude,latitude and depth. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.

Unit VII: Properties of Bulk Matter

Elastic behaviour, Stress-strain relationship, Hooke’s law,modulus of elasticity . Pressure due to a fluid column; Pascal’s law and its applications Viscosity, Stokes’ law, terminal velocity, Reynold’s number, streamline and turbulent flow.

Bernoulli’s theorem and its applications. Surface energy and surface tension, application of surface tension ideas to drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat – calorimetry; change of state – latent heat. Heat transfer-conduction, convection and radiation, thermal conductivity, Newton’s law of cooling.

Unit VIII: Thermodynamics

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics). Heat, work and internal energy.

First law of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Heat engines and refrigerators.carnot cycle and carnot’s theorem.

Equation of state of a perfect gas, work done on compressing a gas. Kinetic theory of gases ,degrees of freedom, law of equipartition of energy and application to specific heats of gases; concept of mean free path, Avogadro’s number.

Unit IX: Oscillations and Waves Periodic motion

– period, frequency, displacement as a function of time. Periodic functions.Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring– restoring force and force constant; energy in S.H.M.-kinetic and potential energies; simple pendulum–derivation of expression for its time period; free, forced and damped oscillations, resonance.

Wave motion. Longitudinal and transverse waves, speed of wave motion. Displacement relation for a progressive wave.

Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

Unit X: Electrostatics

Electric Charges; Conservation of charge, Coulomb’s law and its application,force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines; electric dipole, electric field due to a dipole; torque on a dipole in uniform electric field.

Gauss’s theorem and its applications Electric potential, potential difference, electric potential due to a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges and bound charges inside a conductor.

Dielectrics and electric polarisation, capacitors and capacitance, a combination of capacitors, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. Van de Graaff generator.

Unit XI: Current Electricity

Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity.

Carbon resistors, colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance.

Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel.

Kirchhoff’s laws and its applications.. Potentiometer – principle and its applications Thermal and chemical effect of current.

Unit XII: Magnetic Effects of Current and Magnetism

Biot – Savart law and its application Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids. Lorentz’s force. Cyclotron,synchrotron. Interaction of a current-carrying conductor with magnetic field.

Force between two parallel current-carrying conductors. Torque experienced by a current loop in uniform magnetic field and its application; Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole momentof a revolving electron.

Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis

. Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements.

Para-, dia- and ferro – magnetic substances, with examples. Electromagnets and factors affecting their strengths. Permanent magnets.

Unit XIII: Electromagnetic Induction and Alternating Currents

Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual inductance.

Need for displacement current. Alternating currents and its measurement reactance and impedance; LC oscillations, LCR series circuit, resonance; power in AC circuits,. generator , motors and transformer.

UnitXIV: Optics

Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection and its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lens-maker’s formula. Magnification, power of a lens, combination of thin lenses in contact. Refraction and dispersion of light through a prism. Scattering of light and its application.

Optical instruments: Human eye-eye defects and its correction. Microscopes and astronomical telescopes and their magnifying powers. Wave optics: wave front and Huygens’ principle, reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygens’ principle.

Interference, Young’s double slit experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum.

Resolving power of microscopes and astronomical telescopes. Polarisation, plane polarised light; Brewster’s law, uses of plane polarised light and Polaroids.

Unit XV: Modern Physics

Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation-particle nature of light. Compton effect, deffraction of X- rays ,Bragg’s law ,Hall effect. Matter waves-wave nature of particles, de Broglie relation. Davisson-Germer experiment.

Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, packing fraction and magnetic moment, atomic masses, isotopes, isobars; isotones. Radioactivity-alpha, beta and gamma particles/rays and their properties; radioactive decay law.

Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; liquid drop model of nucleus, nuclear fission and fusion.,critical mass ,chain reaction and fission reaction, ionization chamber,Geiger counter and scinitillation counter,linear accelerator.

Unit XVI: Electronic Devices

Semiconductors; semiconductor diode – I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator.

Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates and its combination. Transistor as a switch.

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written exam

Syllabus for written examination for PGT ( Mathematics )

Sets :

Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers. Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set.

Relations & Functions:

Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain. co-domain and range of a relation.

Function as a special kind of relation from one set to another. Pictorial representation a function, domain, co-domain & range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

Sets and their Representations. Union, intersection and complements of sets, and their algebraic properties, Relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.

Principle of Mathematical Induction:

Processes of the proof by induction. The principle of mathematical induction.

Permutations & Combinations:

Fundamental principle of counting. Factorial n. Permutations and combinations, derivation of formulae and their connections, simple applications.

Complex Numbers:

Complex numbers, Algebraic properties of complex numbers, Argand plane and polar representation of complex numbers, Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

Modulus and Argument of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.

Linear Inequalities:

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables- graphically. Absolute value, Inequality of means, Cauchy-Schwarz Inequality, Tchebychef’s Inequality.

Binomial Theorem:

Statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications. Binomial Theorem for any index. Properties of Binomial Co-efficients. Simple applications for approximations.

Sequence and Series:

Sequence and Series. Arithmetic, Geometric and Harmonic progressions (G.P.), General terms and sum to n terms of A.P., G.P. and H.P. Arithmetic Mean (A.M.), Geometric Mean (G.M.), and Harmonic Mean (H.M.), Relation between A.M., G.M. and H.M. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers.

Special series, Sum to n terms of the special series. . Arithmetico-Geometric Series, Exponential and Logarithmic series.

Elementary Number Theory:

Peano’s Axioms, Principle of Induction; First Principle, Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function Test of Divisibility, Euclid’s algorithm, The Unique Factorisation Theorem, Congruence, Sum of divisors of a number . Euler’s totient function, Theorems of Fermat and Wilson.

Quadratic Equations:

Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots; Symmetric functions of roots, equations reducible to quadratic equations – application to practical problems.

Polynomial functions, Remainder & Factor Theorems and their converse, Relation between roots and coefficients, Symmetric functions of the roots of an equation. Common roots.

Matrices and Determinants:

Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoint and inverse of matrix.

Test of consistency and solution of simultaneous linear equations using determinants and matrices.

Two dimensional Geometry:

Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, area of a triangle, condition for the collinearity of three points, centroid and in-centre of a triangle, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, Equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines, point of intersection and angle between two lines.

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to the circle, length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.

Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point(s) of tangency.

Trigonometric Functions:

Positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to another.

Definition of trigonometric functions with the help of unit circle. Graphs of trigonometric functions.

Expressing sin (x+y) and cos (x+y) in terms of sinx, siny, cosx & cosy. Identities related to sin2x, cos2x, tan 2x, sin3x, cos3x and tan3x. Solution of trigonometric equations, Proofs and simple applications of sine and cosine formulae. Solution of triangles. Heights and Distances.

Inverse Trigonometric Functions:

Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

Differential Calculus:

Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple functions.

Limits, Continuity and differentiability; Derivative, Geometrical interpretation of the derivative, Derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions, Derivative of composite functions; chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.

Exponential and logarithmic functions and their derivatives. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems and their geometric interpretations.

Applications of Derivatives:

Applications of derivatives: rate of change, increasing / decreasing functions, tangents & normals, approximation, maxima and minima.

Integral Calculus:

Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions.

Integration using trigonometric identities. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus.

Basic Properties of definite integrals and evaluation of definite integrals; Applications of definite integrals in finding the area under simple curves, especially lines, areas of circles / Parabolas / ellipses, area between the two curves.

Differential Equations:

Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation.

Vectors:

Vectors and scalars, magnitude and direction of a vector. Direction cosines / ratios of vectors.

Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.

Three dimensional Geometry:

Coordinates of a point in space, distance between two points; Section formula, Direction cosines / ratios of a line joining two points. Cartesian and vector equationof a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane.

Distance of a point from a plane. Scalar and vector triple product. Application of vectors to plane geometry. Equation of a sphere, its centre and radius. Diameter form of the equation of a sphere.

Statistics:

Calculation of Mean, median and mode of grouped and ungrouped data. Measures of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances.

Probability:

Random experiments: outcomes, sample spaces. Events: occurrence of events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ & ‘or’ events., Multiplication theorem on probability. Conditional probability, independent events,, Baye’s theorem, Random variable and its probability distribution, Binomial and Poisson distributions and their properties.

Linear Algebra

Examples of vector spaces, vector spaces and subspace, independence in vector spaces, existence of a Basis, the row and column spaces of a matrix, sum and intersection of subspaces. Linear Transformations and Matrices, Kernel, Image, and Isomorphism, change of bases, Similarity, Rank and Nullity.

Inner Product spaces, orthonormal sets and the GramSchmidt Process, the Method of Least Squares.

Basic theory of Eigenvectors and Eigenvalues, algebraic and geometric multiplicity of eigen value, diagonalization of matrices, application to system of linear differential equations. Generalized Inverses of matrices, Moore-Penrose generalized inverse.

Real quadratic forms, reduction and classification of quadratic forms, index and signature, triangular reduction of a pair of forms, singular value decomposition, extrema of quadratic forms. Jordan canonical form, vector and matrix decomposition.

SOME OTHER TOPICS

Monotone functions and functions of bounded variation. Real valued functions, continuous functions, Absolute continuity of functions, standard properties. Uniform continuity, sequence of functions, uniform convergence, power series and radius of convergence.

Riemann-Stieltjes integration, standard properties, multiple integrals and their evaluation by repeated integration, change of variable in multiple integration. Uniform convergence in improper integrals, differentiation under the sign of integral – Leibnitz rule.

Dirichlet integral, Liouville’s extension. Introduction to n-dimensional Euclidean space, open and closed intervals (rectangles), compact sets, Bolzano-Weierstrass theorem, Heine-Borel theorem. Maxima-minima of functions of several variables, constrained maxima-minima of functions. Analytic function, Cauchy-Riemann equations, singularities, Statement of Cauchy theorem and of Cauchy integral formula with applications, Residue and contour integration.

Fourier and Laplace transforms, Mellin’s inversion theorem.

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