TS ECET Syllabus 2025: Download Subject/Section wise Syllabus PDF Here

Telangana State Engineering Common Entrance Test 2025 ( TS ECET )

This exam is conducted for courses given below:
Samridhi Mishra
Updated on Sep 26, 2025 11:09 IST

By Samridhi Mishra, Senior Executive

TS ECET Syllabus 2025: Osmania University on behalf of TSCHE mentions the TS ECET 2025 syllabus in the official notification. Applicants can check the TS ECET syllabus at ecet.tsche.ac.in. Candidates appearing in the exam can refer to the TS ECET syllabus 2025 for their preparations. The syllabus of TS ECET 2025 comprises important topics and chapters asked in the exam. TS ECET 2025 exam will be conducted in online computer-based mode.  

Through the TS ECET syllabus 2025, the candidates can access the subjects, units and topics that need to be studied for the entrance examination. Candidates are advised to check the TS ECET syllabus 2025 to be well prepared for the examination and have a higher chance of scoring good marks. The authorities prepare the TS ECET question paper based on the syllabus. Along with the syllabus, the candidates are also advised to check the TS ECET 2025 exam pattern. For more details about TS ECET syllabus 2025, candidates can refer to the article provided below. 
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  • TS ECET Syllabus 2025
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TS ECET Syllabus 2025

Osmania University on behalf of TSCHE mentions the TS ECET syllabus in the official notification. Candidates appearing in the exam can refer to the TS ECET syllabus for their preparations. Candidates can check the detailed syllabus of TS ECET 2025 from the table given below.

TS ECET 2025 Syllabus for Maths, Physics and Chemistry

Syllabus for Maths Syllabus for Physics Syllabus for Chemistry
  • Unit-I: Matrices
  • Unit–II: Trigonometry  
  • Unit–III: Analytical Geometry 
  • Unit–IV: Differentiation and its Applications
  • Unit–V: Integration and its Applications
  • Unit–VI: Differential Equations
  • Unit–VII: Laplace Transforms and Fourier series
  • Unit–VIII: Probability and Statistics
  • Unit-I: Units and dimensions
  • Unit-II: Elements of vectors
  • Unit-III: Kinematics and Friction
  • Unit-IV: Work, Power and Energy
  • Unit-V: Simple harmonic motion and Sound
  • Unit-VI: Heat and Thermodynamics
  • Unit-VII: Modern physics

 

  • Unit – I: Fundamentals of Chemistry
    • Atomic structure
    • Chemical Bonding
  • Unit-II: Solutions
  • Unit-III: Acids and Bases
  • Unit – IV: Principles of Metallurgy
  • Unit-V: Electrochemistry
  • Unit –VI: Corrosion
  • Unit-VII: Water Technology
  • Unit-VIII: Polymers
  • Unit-IX: Fuels

TS ECET 2025 Syllabus For Bio-Technology

  • Basic Industrial Biotechnology: Production Strains, Production media, Types of Media, Carbon, Nitrogen Sources, Biopesticides, Biofertilizers.
  • Bio-Physics: Bio-Physics and Cell doctrine, Cell theory and Atomic theory, types of microscopes, Biological membranes, Applications of Bio-Physics.
  • Genetics and Cell Biology: Mendelism and its variations, Linkage, Cell division, Chromosome Structure, Chromosome Aberrations, Genetic Mechanism of Sex Determination, Sex-Linked genes, Holandric genes.
  • Microbiology: Classification of Micro-Organisms, Nutrition in Micro-Organisms, Growth - measurement of microbial growth, culture media, synthetic complex media, Importance and isolation of pure cultures and primary stock cultures, preservation of cultures, control of microorganisms, disinfection and sterilization methods, chemical agents, physical agents, different classes of disinfection.
  • Bio-Reactor Engineering: Classification of bioreactors, the Energy balance of bioreactors, selectivity and optimization of bioreactors, design and analysis of bioreactors, introduction to microprocessors and their applications in bioreactors control, safety regulations and decontamination procedures practised in the operation of bioreactors.
  • Molecular Biology - Genetic Engineering: Nucleic acids - Structure of DNA, RNA, replication of DNA, Organisation of the nuclear genome, gene numbers, essential and nonessential genes, charge ff rule, one gene, one enzyme hypothesis - Phenylketonuria, alkaptonuria and albinism, protein synthesis, applications of Genetic Engineering.
  • Plant Bio-Technology: Tissue culture, techniques, application of plant tissue culture, protoplast technology - isolation, culture of protoplasts, regeneration of cell wall and callus formation - protoplast fusion. Genetic engineering through plasmids, Ti Plasmid, gene transfer in plants - Symbiotic N2 fixation, plant protection, applications - methods.
  • Animal Bio-Technology: Animal cell and tissue culture, Animal organ culture techniques - Advantages - Limitations and applications, production of transgenic animals by microinjection, future prospects of transgenesis, Cell culture products.
  • Bio-Informatics: Bio-Informatics in biology and medicine, bio-molecules and biopolymers, genome analysis.
  • Enzyme Engineering: Classification of Enzymes, Applications, Physical and Chemical techniques for enzyme immobilization - Advantages and disadvantages of immobilization techniques. Structure of Enzymes - Primary and secondary structure and peptide bond.

TS ECET 2025 Syllabus For BSc (Mathematics)

Units 

Topics

Unit 1

Differential Equations of First Order and First Degree: Linear Differential Equations; Differential Equations Reducible to Linear Form; Exact Differential Equations; Integrating Factors; Change of Variables. Differential Equations of the First Order but not of the First Degree: Equations Solvable for p; Equations Solvable for y, Equations Solvable for x; Equations that do not contain x (or y); Equations Homogeneous in x and y; Equations of the First Degree in x and y; Clairaut‘s Equation 

Unit 2

Higher Order Linear Differential  Equations:  Solution of  Homogeneous  Linear  Differential Equations of Order n with Constant Coefficients. Solution of the Non-homogeneous Linear Differential Equations with Constant Coefficients by means of Polynomial Operators.

Unit 3
  • Binary Operations: Definition and Properties, Tables.
  • Groups: Definition and Elementary Properties; Finite Groups and Group Tables.
  • Subgroups:  Subgroups; Cyclic Subgroups
  • Permutations: Functions and Permutations; Groups of Permutations, Cycles and Cyclic Notation, Even and Odd Permutations, The Alternating Groups
  • Cyclic Groups: Elementary Properties, The Classification of Cyclic Groups, Subgroups of Finite Cyclic Groups
  • Isomorphism: Definition and Elementary Properties, How to show that groups are Isomorphic, How to show that Groups are Not Isomorphic, Cayley‘s Theorem.
  • Groups of Cosets: Cosets, Applications, Lagranges Theorem, Normalizer of an element of a group
  • Normal  Subgroups  and  Factor  Groups:  Criteria  for  the  Existence  of  a  Coset  Group;  Inner Automorphisms and Normal Subgroups; Factor Groups; Simple Groups
  • Homomorphisms: Definition and   Elementary   Properties; The Fundamental  Theorem on Homomorphism of groups; Applications. 
Unit 4
  • Vector Differentiation:  Differential Operator, Gradient, Divergence, Curl
  • Vector Integration: Theorems of Gauss, Green and Stokes and Problems related to them 
Unit 5
  • The Plane: Every equation of the first degree in x, y, z represents a plane, Converse of the preceding Theorem; Transformation to the normal form, Determination of a plane under given conditions. 
  • The Sphere:   Definition and equation of the sphere; Equation of the Sphere through four given points; Plane sections of a sphere.
Unit 6
  • The Real Numbers: The algebraic and Order Properties of R; Absolute Value and Real Line; The Completeness Property of R; Applications of the Supremum Property; Intervals.
  •  Sequences and Series: Sequences and their Limits; Limits Theorems; Monotone Sequences; Subsequences and the Bolzano - Weierstrass Theorem; The Cauchy Criterion; Properly Divergent Sequences.
  • Infinite series: Introduction to series, Absolute convergence, Test for absolute convergence, test for non-–absolute convergence. 
  • Limits: Limits of Functions, Limits Theorems, Some Extensions of the Limit Concept.
  • Continuous Functions:  Continuous Functions, Combinations of Continuous Functions; Continuous  Functions on Intervals, Uniform Continuity, Definition, Non-Uniform Continuity Criteria, Uniform Continuity Theorem.           
Unit 7
  • Differentiation: The derivative, The Mean Value theorem, L‘Hospital Rules, Taylor‘s Theorem.
  • The  Riemann  Integral: The Riemann Integral,  Riemann Integrable Functions,  the Fundamental theorem
Unit 8
  • Rings:  Definition and Basic Properties, Fields.
  • Integral Domains:  Divisors of zero and cancellation laws, Integral domains, The Characteristic of a Ring, Some Non-Commutative Examples, Matrices over a field, The Quaternions.
  • Sub – Rings, Ideals, Quotient Rings & Euclidean Rings: Ideals, Principal Ideal, Quotient Rings and Euclidean Rings.
  • Homomorphisms of Rings: Definition and Elementary Properties, Maximal and Prime Ideals, Prime Fields.
  • Rings of Polynomials: Polynomials in an Indeterminate, The Evaluation Homomorphisms.
  • Factorization of Polynomials over a field: The Division Algorithm in F[x]; Irreducible polynomials, ideal structure in F[x], Uniqueness of Factorization in F[x].     
Unit 9
  • Vector Spaces: Vector Spaces, Subspaces, General properties of vector spaces, Algebra of subspaces, linear combination of vectors. Linear span, linear sum of two subspaces, Linear Dependence and Linear Independence of vectors, Basis of vector space.
  • Linear Transformation and Matrices:  Linear Transformations, Linear operators, Range and null space of linear transformation, Rank and nullity of linear transformations, Linear  Transformations as vectors,  Product of linear transformations, Invertible linear transformations. Transpose of linear transformations, characteristic values and characteristic vectors, Cayley – Hamilton theorem, Diagonalizable operators.
  • Inner Product Spaces:  Inner Product spaces, Euclidean and unitary spaces,  Norm of a vector, Schwartz inequality,  Orthogonality, Orthonormal set, complete orthonormal set, Gram – Schmidt orthogonalisation process.         

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TS ECET 2025 Syllabus For Chemical Engineering

  • Material technology: Mechanical properties of metals and Testing of materials – thermal equilibrium diagram - Production of Iron-plain carbon steels, alloy steels – Non-ferrous metals & their alloys -  Aluminum, copper, nickel, lead, tin, zinc - Miscellaneous materials  –  Glass,  carbon,  graphite, rubber, elastomers, fibreglass and FRP etc. – Corrosion- causes, types, methods of prevention.
  • Mass and Energy Balance: Determination of molarity,  molality & normality, analysis of solids, liquids and gases on a dry and wet basis - Dalton's law, ideal gas equation of state, vapour pressure boiling point and freezing point, the elevation of boiling point and depression of freezing point-uses, Bypass and Recycle streams – uses, limiting component, excess reactant, percentage conversion  &  yield and degree of completion  -  Material balances with and without chemical reactions - Law of conservation of energy, the heat of reaction,  heat of formation and heat of combustion-related problems, gross and net calorific values, theoretical air and excess air calculations – Proximate and ultimate analysis.
  • Organic Chemical Technology: Coal chemicals, coking of coal, coal tar distillation, petroleum refining - atmospheric distillation and vacuum distillation, fluid catalytic cracking, catalytic reforming, petrochemicals from methane and ethylene -  Pulp and paper industry, Kraft process - Oils, fats and soaps - sugar and fermentation – synthetic fibres - rubber industries.
  • Inorganic Chemical Technology: Water sources,  impurities-treatment-dissolved solids-ion exchange process and Reverse Osmosis (RO) process - Manufacture of chemicals like soda ash, ammonia, urea, nitric acid, sulphuric acid, phosphoric acid, Super Phosphate and Industrial Gases (O2, N2, H2, CO2  and acetylene) - Paints, pigments and varnishes, graphite and silicon carbide and cement.
  • Fluid mechanics: Flow of incompressible fluids, Newtonian and non-Newtonian fluids, viscosity, Bernoulli‘s theorem, friction losses, friction factor – a pressure drop, flow meters, different types of pumps for transportation of fluids, Centrifugal pump, Reciprocating pump,  Flow past immersed bodies - packed bed and fluidized bed, fluidization.
  • Heat transfer: Conduction – mechanisms of heat flow – Fourier‘s law, thermal conductivity, steady-state conduction - compound resistances in series, heat flow through a cylinder – related problems.  Convection – heat flow in fluids - rate of heat transfer, counter current and parallel flows - Overall heat transfer coefficient – LMTD – Fouling factors – Heat transfer to fluids with and without phase change. Dropwise and film-wise condensation, Heat transfer to boiling liquids, Radiation, emission of radiation, laws of black body radiation  –  radiation between surfaces. Heat Exchange Equipment – types of heat exchange equipment, Evaporation – types of Evaporators, evaporator economy, boiling point Elevation, single and multiple effect evaporators – related problems.
  • Mechanical unit operations: Size reduction methods, laws of size reduction - crushers and grinders. Different types of equipment for mixing liquids, viscous masses, dry powders, differential and cumulative screen analysis, screen effectiveness, average particle size, storage of solids, conveyors, mechanical separations - froth floatation, electrostatic precipitator, scrubber, cyclone separators, filtration, filtration equipment,  sedimentation.
  • Thermodynamics and Reaction Engineering: 1st   law of Thermodynamics, PVT relationships for gases, 2nd   law of Thermodynamics,  refrigeration and liquefaction, chemical reaction equilibria - determination of equilibrium constant and conversion, Temperature effect on reactions – Arrhenius equation. Basic equations & working of batch, tubular and stirred tank reactors, catalysis.
  • Mass Transfer:  Principles of diffusion, Fick’s law of diffusion – molecular diffusion, eddy diffusion - interphase mass transfer, two resistance theory, distillation, simple steam and continuous distillation, reflux ratio – Mc cabe Thiele method, absorption and adsorption, material balance – number of transfer units, humidification, membrane separation, extraction and leaching, drying- the rate of drying, equilibrium diagram, equipment for drying – crystallization – equipment.
  • Instrumentation & process control: Static and dynamic characteristics of an instrument-step input, linear input, sinusoidal input, measurement of temperature, pressure, vacuum, liquid levels and composition. Process instrumentation & Instrumentation diagrams - Process control, different types of controllers, P, PI, PD & PID Controllers.
  • Environmental Studies and Pollution Control Engineering: Scope and importance of environmental studies, Effect of human beings on the environment and vice-versa - Water pollution, types, classification, treatment methods - Air pollution, types, classification, control methods – Gaseous and emission control - Solid waste management, sources, classification, disposal methods - Pollution control in sugar, fertilizer, paper & petroleum industries - Legal aspects of pollution control.
  • Energy Technology: Classification of energy sources - Solid, Liquid and Gaseous fuels – Combustion principles, Refractories, Furnaces - Blast Furnace, LD Converter – Non-conventional energy sources (Nuclear Energy, Solar Energy, Wind Energy and Bio-Energy)  – Energy Conservation.       

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TS ECET 2025 Syllabus For Civil Engineering

  • UNIT-I: Simple stresses and strains- ductile materials - Mechanical properties of materials- Hooke‘s law-lateral strain-Poisson‘s ratio-Elastic constants and the relation between them Composite sections-Resilience-Strain energy-Gradual and sudden loading- Shear force and Bending Moment Diagrams for cantilever, Simply supported, fixed, continuous and overhanging beams subjected to Point loads and UDL.
  • UNIT-II: Theory of simple bending-assumptions-bending equation-bending stresses-Section Modulus-Shear stress distribution across various sections like rectangular, circular and I- sectionsTorsion-solid and hollow circular shafts.
  • UNIT-III: Deflection of cantilevers and simply supported beams, Double Integration and Macaulay‘s methods, Mohr‘s theorems for slopes and deflections, the calculation for propped cantilevers subjected to simple loading-Analysis of Fixed and Continuous beams of uniform section for simple loading without sinking of supports.
  • UNIT-IV: Grades of concrete, characteristic strength, Modulus of Elasticity-I.S. 456 -2000- Philosophy of Limit state design.   Limit state of Strength and Serviceability, partial safety factor-design strength of materials and design loads-assumptions.
  • UNIT-V: Basic principles, neutral axis, lever arm - Design and analysis of Singly reinforced simply supported rectangular beams. Comparison of Limit state and Working stress methods.
  • UNIT-VI: Chain surveying- purpose and principle- errors and corrections- different operations in chain surveying- obstacles – methods of calculation of area. Compass Surveying- purpose and principle-  bearings-  traversing using a prismatic compass-  local attraction-  errors. Levelling-  definitions-  component parts-  errors-  classification of levelling-  contouring- characteristics and methods.
  • UNIT-VII: Fluid properties-specific weight  –mass density-specific gravity-surface tension- capillarity-viscosity. Atmospheric pressure, gauge pressure and absolute pressure. Fluid pressure on plane surfaces - Centre of pressure, measurement of fluid pressure using piezometer and manometers.  Types of flows-uniform, non-uniform,  steady, unsteady, laminar and turbulent flows. Energies of liquid in the motion-continuity equation. Bernoulli‘s theorem-Pitot tubeVenturimeter.  Flow-through small and large orifices, free orifices, submerged orifices, coefficients of orifices-Cc, Cv and Cd.  Flow-through internal, external, convergent and divergent mouthpieces. Types of Notches-rectangular and triangular, flow over notches. Types of Weirssharp crested and broad crested-mathematical formulae for discharge-Francis and Bazin.
  • UNIT-VIII: Flow-through pipes-major and minor losses-Chezy‘s and Darcy‘s formulae for loss of head due to friction- HGL & TEL- Reynold‘s number for laminar and turbulent flows. Flow-through open channels-rectangular and trapezoidal-chezy‘s formula for discharge-Kutter‘s and Manning‘s equation for Chezy‘s constants-Most economical sections.  Centrifugal pumps without problems.  Classification of  Turbines- Kaplan, Francis and Pelton wheel without problems of the Draft tube. Hydro-electrical installations-components and uses.
  • UNIT IX: Necessity of Irrigations  - Perennial and inundation Irrigation, Flow and Lift Irrigation, Principal crops-Kharif and rabi seasons-Duty, delta and base period. Methods of Irrigation-check flooding, basin flooding, contour bunding, furrow, sprinkler and drip Irrigation.
  • UNIT X: Storage Head works - different types of dams-rigid and non-rigid dams- gravity dams-low and high dams. Elementary profile of a dam. Failures of gravity dams-drainage galleries. Ogee and siphon spillways. Earth dams - types, failures and precautions. Phreatic lines and drainage arrangements in earthen dams. Distribution works-classifications and alignment of a canals-typical cross-section of a canal-berm and balanced depth of cutting-canal lining. Cross drainage works – types and functions
  • UNIT XI: Importance of transportation engineering – I.R.C. – Classification of roads as per I.R.C., recommended I.R.C. values of camber for different roads. Gradients – Ruling gradient, limiting and exceptional gradient Recommended I.R.C values of gradients., Different systems of classification of soils – Textural classification – I S classification of soils., Bearing capacity – importance in foundation design.
  • UNIT XII: Environment and Ecology- Ecology and Ecosystem, Quality of water, Need for protected water supply, Total quantity of water for a town, per capita demand and factors affecting demand, Forecasting population by arithmetical, geometrical and incremental increase methods, Sources and conveyance of water: surface sources, underground sources, Types of Intakes.
  • UNIT XIII:  Loads considered in the design of steel structures as per I.S. 875-1987, Standard structural sections, Concept of Limit State Design. Design of Fillet Welded Joints- types of joints, stresses in welds as per I.S.800-2007. Tension members and forms of tension members, different modes of failures, calculation of net effective sectional area of single angle with welded connection only. Different forms of compression members. The behaviour of compression members- classification of cross-sections, effective lengths for different end conditions- Codal provisions of single or double lacing and battening for built-up columns(no problems).

TS ECET 2025 Syllabus For CSE, ECE, EEE and EIE

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Syllabus For Computer Science and Engineering

  • Digital Electronics: Logic Families, Boolean Expressions – K-map –Combinational Circuits – Flip-flops – registers – Counters – decoders, multiplexers, and semiconductor memories. 
  • Microprocessors: 8086 microprocessor – architecture, Segmentation concepts – register organization – addressing modes – instruction set – preliminary features of 80286, 80386 and 
  • Computer Organization: Functional blocks of CPU – Fixed point, floating-point number representations –instructions – addressing modes – stored program concept – instruction execution – memory hierarchy – virtual memory, associative memory – cache memory – I/O organization – methods of data transfer – programmed I/O, DMA, Interrupts – IOP. 
  • C and Data Structures: Datatypes, storage classes, operators and expressions – control statements – functions, parameter passing – arrays and pointers, structures, unions – type definitions – preprocessor directive statements.
  • Computer Networks: OSI reference model, TCP/IP reference model - Network topologies 
  • Operating Systems: Operating system concepts, functions, types, and system calls.
  • RDBMS: Need of database systems, data independence, Data models, E-R model - the structure of the relational database.
  • Object-Oriented Programming Through C++: Concept of OOPs - classes and objects - Constructors and destructors
  • Java Programming: Java – data types, variables, operators, arrays
  • Internet Programming: Internet fundamentals - HTML, tags, attributes, formatting text - Javascript - data types, operators - control structures - procedures, functions, and arrays - PHP - data types, variables, operators, control structures, arrays, functions, the concept of accessing databases. 

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Syllabus For Electronics and Communication Engineering

  • Electronic Devices And Circuits: Semiconductor diodes                                          
  • Circuit Theory
  • Electronic Measuring Instruments
  • Industrial Electronics
  • Communication Systems
  • Advanced Communication Systems
  • Digital Electronics
  • Microprocessors & Microcontrollers                                                              
  • Advanced Microcontroller & DSP 
  • Consumer Electronics 
  • Data Communications And Computer Networks
  • Web Browser Architecture
  • Digital Circuit Design Through Verilog HDL

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Syllabus For Electrical & Electronics Engineering   

  • Basic Electrical Engineering
  • D.C. Machines, Batteries & Measuring Instruments
  • A.C. Circuits And Transformers
  • A.C. Machines
  • Power System Generation & Protection
  • Transmission And Distribution
  • Electric Traction
  • Electrical Installation And Estimation
  • Basic Electronics And Digital Electronics
  • Power Electronics And Micro Controller 

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Syllabus For Electronics and Instrumentation Engineering

  • Electrical Engineering
  • Industrial Electronics and Control engineering
  • Electronics and Amplifiers
  • Digital Electronics
  • Electronic Measuring instruments
  • Process Instrumentation
  • Measurement of various Parameters
  • Process Control
  • Safety Management
  • Communications and Linear IC Applications
  • Computer Networking
  • Characteristics of Operational Amplifier
  • Analytical and biomedical instrumentation
  • Microcontroller & PLCs

TS ECET 2025 Syllabus For Mechanical, Metallurgical and Mining Engineering

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Syllabus For Mechanical Engineering

  • Unit I: Workshop Technology                                                                       
  • Unit II: Welding, Forging, Foundry and Conventions in Drawing                                        
  • Unit III: Engineering Materials, and Engineering Mechanics                                  
  • Unit IV: Mechanics of Solids
  • Unit V: Design of Machine Elements
  • Unit VI: Thermodynamics                                                                                     
  • Unit VII: Fluid Mechanics and Hydraulic Machines
  • Unit VIII: Energy Sources and Power Plant Engineering 
  • Unit IX: Refrigeration – Air Conditioning and Automobile Engineering 
  • Unit X: Industrial Management and Engineering 

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Syllabus For Metallurgical Engineering

  • Elementary Principles Of Metallurgy
  • Fuels, Refractories And Pyrometry
  • Metallurgical Thermodynamics
  • Physical Metallurgy
  • Heat Treatment
  • Ferrous Extractive Metallurgy
  • Non-ferrous Extractive Metallurgy
  • Material Testing
  • Mechanical Metallurgy
  • Foundry Technology
  • Welding Technology

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Syllabus For Mining Engineering

  • Elements Of Mining      
  • Mining Geology                
  • Methods Of Working Coal      
  • Methods Of Working Metal
  • Mine Environmental Engineering 1      
  • Mine Environmental Engineering 2        
  • Mine Surveying          
  • Mining Machinery 1      
  • Mining Machinery 2
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Complement of a SetEqual SetsUniversal SetFinite and Infinite SetEmpty SetSets and their RepresentationsRelations and FunctionsCartesian Products of SetsFunctionsRelationsBinomial TheoremBinomial Theorem for Positive Integral IndexComposition of Functions and Invertible FunctionTypes of FunctionsTypes of RelationsProperties of Inverse Trigonometric FunctionsInverse Trigonometric FunctionsBasic Concepts of Inverse Trigonometric FunctionsTypes of MatrixTranspose of a MatrixSymmetric and Skew Symmetric MatricesInvertible MatricesOperations on MatricesDeterminantsDeterminantsIntegration as Inverse Process of DifferentiationDifferentiationStandard DeviationAssumed Mean MethodCorrelation and RegressionZ Score TableCube and CuboidComplement of a SetEqual SetsUniversal SetFinite and Infinite SetEmpty SetSets and their RepresentationsRelations and FunctionsCartesian Products of SetsFunctionsRelationsBinomial TheoremBinomial Theorem for Positive Integral IndexComposition of Functions and Invertible FunctionTypes of FunctionsTypes of RelationsProperties of Inverse Trigonometric FunctionsInverse Trigonometric FunctionsBasic Concepts of Inverse Trigonometric FunctionsTypes of MatrixTranspose of a MatrixSymmetric and Skew Symmetric MatricesInvertible MatricesOperations on MatricesDeterminantsDeterminantsIntegration as Inverse Process of DifferentiationDifferentiationStandard DeviationAssumed Mean MethodCorrelation and RegressionZ Score TableCube and CuboidOverviewDIMENSIONS OF PHYSICAL QUANTITIESDIMENSIONAL FORMULAESignificant FiguresDIMENSIONAL ANALYSIS AND ITS APPLICATIONSINTERNATIONAL SYSTEM OF UNITSOverviewChange of StateIdeal Gas Equation and Absolute TemperatureThermal ExpansionHeat TransferSpecific HeatCalorimetryTemperature and HeatMeasurement of TemperatureThermodynamic ProcessCarnot EngineReversible and Irreversible ProcessThermal EquilibriumThermodynamic State Variables Equation of StateOverviewFirst Law of ThermodynamicsSecond Law of ThermodynamicsBehaviour of GasesKinetic Theory of Ideal GasOverviewPeriodic and Oscillatory MotionSimple PendulumSimple Harmonic MotionOverviewSpeed of a Travelling WaveDisplacement Relation in a Progressive WaveSuperposition PrincipleBeatsReflection of WavesKinematic Equation Uniformly of Accelerated MotionInstantaneous Velocity and SpeedOverviewAccelerationResolution of VectorsVector Addition by Analytical MethodScalars and VectorsMultiplication of Vectors by Real NumbersAddition and Subtraction of VectorsOverviewProjectile MotionMotion in a PlaneConservation of MomentumEquilibrium of a ParticleCircular MotionCommon Forces in MechanicsSolving Problems in MechanicsConservation of Mechanical EnergyPotential Energy of SpringPowerKinetic EnergyCollisionWorkConcept of Potential EnergyMoment of InertiaOverviewCentre of MassVector Product of Two VectorsTorque and Angular MomentumMotion of Centre of MassEquilibrium of a Rigid BodyOverviewAngular Velocity and Relation with Linear VelocityDynamics of Rotational Motion About a Fixed AxisKinematics of Rotational Motion About a Fixed AxisAngular Momentum of Rotation About a Fixed AxisKeplers LawOverviewEscape SpeedEarth SatellitesEnergy of an Orbiting SatelliteStress Strain CurveElastic ModuliApplications of Elastic Behaviour of MaterialsSurface TensionBernoulli PrinciplePressure in FluidsViscosityStreamline FlowForces between Multiple ChargesConductors and InsulatorsBasic Properties of Electric ChargeElectric ChargeElectric Charge and FieldElectric FluxElectric Charge and FieldElectric Field LinesContinuous Charge DistributionInterference Light Waves Youngs ExperimentRefraction Reflection Plane Wave Huygens PrincipleRefraction Reflection Plane Wave Huygens PrincipleEinstein Photoelectric TheoryPhotoelectric Effect Wave Theory LightPhotoelectric EffectElectron EmissionOverviewBohr Model of Hydrogen AtomRadioactivityPhysics Nuclei OverviewSize of NucleusBinding EnergyNuclear EnergySemiconductor Devices OverviewSemiconductor Devices OverviewSemiconductor DiodeDiode as RectifierIntrinsic SemiconductorExtrinsic SemiconductorOverviewPotential Due to Point ChargeCombination of CapacitorsElectrostatic PotentialEnergy Stored in a CapacitorCapacitors and CapacitanceEffect of Dielectric on CapacitanceElectrostatics of ConductorsPotential Energy of a System of ChargesPotential due to a System of ChargesElectric CurrentOverviewElectrical Energy and PowerTemperature Dependence of ResistivityWheatstone BridgeOverviewOhms LawKirchhoffs LawDrift of Electrons and the Origin of ResistivityTorque on Current Loop Magnetic DipoleMotion in Magnetic FieldSolenoidMagnetic Field due to a Current ElementMagnetic Field on Axis of Circular Current LoopAmpere Circuital LawMagnetic ForceOverviewMoving Coil GalvanometerMagnetism and MatterMagnetic Properties of MaterialsMagnetisation and Magnetic IntensityBar MagnetElectromagnetismMotional Electromotive ForceExperiments of Faraday and HenryAlternating Current OverviewTransformerAC Voltage Applied to a ResistorAC Voltage Applied to an InductorAC Voltage applied to a CapacitorAC Voltage applied to a Series LCR circuitRepresentation of AC Current and Voltage by VectorElectromagnetic SpectrumElectromagnetic WavesDisplacement CurrentTotal Internal ReflectionRefraction through a PrismOptical InstrumentsDerivation of Lens FormulaReflection of Light by Spherical MirrorsRefraction at Spherical Surface and by LensesDerive Equation of Motion by Calculus methodAlternating Current OverviewMole Concept and Molar MassSTOICHIOMETRY AND STOICHIOMETRIC CALCULATIONSPercentage CompositionLaws of Chemical CombinationAtomic and Molecular MassesProperties of Matter and their MeasurementImportance of ChemistryOverviewOverviewAtomic ModelsDiscovery of Sub Atomic ParticlesTowards Quantum Mechanical Model of AtomQuantum Mechanical Model of AtomElectronic Configuration Types of ElementsPeriodic Table Electronic Configuration of ElementPeriodic Trends in Properties of ElementsGenesis of Periodic ClassificationNomenclature of Elements with Atomic NumbersPresent Form of Periodic TableChemical Bonding and Molecular StructureHybridizationValence Bond TheoryMolecular Orbital TheoryHydrogen BondingIonic or Electrovalent BondKossel-Lewis Approach to Chemical BondingBond ParametersBonding in Homonuclear Diatomic MoleculesVSEPR TheoryApplications of Chemical BondingEquilibrium ProcessesHomogeneous EquilibriaFactors Affecting EquilibriaApplications of Equilibrium ConstantIonization of Acids and BasesIonic Equilibrium in SolutionEquilibrium in Chemical ProcessesSolubility Equilibria of Sparingly Soluble SaltsHeter Heterogeneous EquilibriaOxidation NumberClassification of Organic CompoundsIsomerismNomenclature of Organic CompoundsQuantitative AnalysisQualitative Analysis of Organic CompoundsOverviewStructural Representations of Organic CompoundsFundamental Concepts in Organic Reaction MechanismTetravalence of Carbon Shapes of Organic CompoundsMethods of Purification of Organic CompoundsClassificationAlkanesAlkenesAlkynesAromatic HydrocarbonCarcinogenicity and ToxicityAbnormal Molar MassColligative Properties and Molar MassSolubilityProteinsVitaminsCarbohydratesEnzymesHormonesNucleic AcidsElectrolytic Cells and ElectrolysisCorrosionGalvanic CellFuel CellsNernst EquationElectrochemical CellsBatteriesRate of ReactionIntegrated Rate EquationsCollision Theory of Chemical ReactionsTemperature Dependence of the Rate of a ReactionFactors Influencing Rate of a ReactionBonding in Metal CarbonylsDifference between Glucose and Fructose
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