SCIENCE 

                                                                                                                                  PHYSICS (A) 

 General Physics

Units and dimensions, vector and scalar quantities, products ( scalar and vector), gradient, divergence & curl, Gauss and Stoke theorems and applications

 Newtonian Mechanics

 Motion, force and Acceleration equations of motion, Kinetic and potential energy, Linear and angular momentum, conservation of energy and momentum ,conservative and non-conservative forces, Rotatory motion, centrifugal and centripetal forces, gravitational force, central force, Kepler's laws of planetary motion, geo stationary, satellites, acceleration due to gravity, escape velocity simple and compound pendulums. gravity, escape velocity.

 Rotational Mechanics 

 Moment of inertia, Theorems of parallel and perpendicular axes, Moment of inertia of ring, circular disc, sphere and cylinder, Angular momentum and  Torque.

Fluid Mechanics 

 Viscosity, Streamline and Turbulent motion, critical velocity. Stoke's and Poissollis’s formula. Bernoulli theorem and uses. 

Surface tension

 Excess pressure inside curved surfaces, surface energy and full of liquid through capillary

 Elasticity

Elastic Constants and their mutual relations Bending moment, cantilever.

 Theory of relativity, variation of mass, length and time with velocity, mass energy equivalence.

Heat

 Concept of heat and temperature, Various scales of temperature, absolute temperature, Thermal expansion of solids, gases and liquids, good and bad conductors, radiation of heat, blackbody radiation, Rayleigh- Jean's Law, Planck Law, Wien’s law, Newtons law of cooling and Stefan's law, internal energy, Isothermal and Adiabatic changes, 1& II Law of thermodynamics, Carrot engine, Entropy, Maxwell's thermodynamic relations, Joule’s Thomson effect, Clausius Clapeyron equations.

 Waves and Oscillations:   

Simple harmonic motion; progressive and stationary waves ,Phase and Group velocities ,Damped harmonic motion, forced oscillation and resonance, Sharpness of resonance, super position of waves ,Beats and Lissajous figures ,Doppler effect.

 Optics:

 Spherical mirrors and lenses, Reactive indices, Formulae for focal lengths, Coaxial lens system, Combination of thin lenses, Eye pieces: Ramsden and Huygen's eye piece, aberrations of lenses, Human eye, Hypermetropia and myopia. Basic concepts of Interference, Diffraction and polarization, Theory of Biprism, Newtons rings, Fresnel and Fraunhoffer diffraction, Zone plate, Gratings Double refraction, Plane, Circular and Elliptical Polarisation, quarter and half wave plates. Rayleigh criterion and resolving power of prism and grating Introduction of laser, Ruby and Helium Neonlaser.

 Electricity and Magnetism:

 Primary and Secondary cells, internal resistance, electromotive force, combinations of resistance and capacitances, current drift velocity and conductivity, galvanometer ,Ammeter and voltmeter ,Wheatstone's bridge and applications ,Biot-Savart law, Ampere's Circuital law, electro- magnetic induction, Faradays law & Lenz's law, self and mutual inductions, Alternating current, Series and parallel resonance (LCR)circuits ,para-dia and Ferromagnetism, Maxwell's electromagnetic field equations, Displacement current Electromagnetic waves.

 Modern Physics:

 Atomic-structure, vector atom model and Bohr model, Paull's Exclusion principle, optical and X-ray spectra, Photoelectric effect, Compton effect and Zeeman effect, Paschen Back effect, Raman effect, de Broglie waves uncertainty principle, Schrodinger equation and applications, Radioactivity, Metal. Semiconductor and insulaters. P N Junctions, Zener diode, Transistors: Construction and applications. Logic gates, Truth tables, Boolean Algebra.

.                                                                                                               (B) CHEMISTRY 

General Organic Chemistry

 Hyper conjugation, Inductive effect, Resonance, and Aromaticity and their applications. Electrophiles and nucleophiles. and reaction intermediates (carbocation, carbanion, free radical, carbine and benzyne)

 Reaction mechanism 

SN„ SN2, E„ and E2 reaction, electrophilic addition of alkenes, alkynes and free radical addition of alkenes. Nucleophilic addition of carbonyl compounds. Electrophilic aromatic substitution, ortho/para/meta directing groups and activating and deactivating groups in ArSE reaction . 

Mechanism of name reaction:

 Aldol reaction, Perkin reaction, Cannizzaro reaction, Benzo in condensation, Witting reaction, Reimer-Tiemann reaction ,Hoffmann Bromamide reaction, Knoevenagel reaction ,Michael addition

. Carbohydrates:

(only glucose and fructose) mutarotation formation of ozazone, oxidation and reduction.

 Polymer: 

Natural (starch, cellulose, rubber and silk) and synthetic polymers, Nylon, Terylene ,Polyethylene ,PVC ,and Teflon ).

 Isomerism:

 Structural and stereoisomerism (enantiomerism , diast ereomerism R/S and E/Z nomenclature).

 Absorption Spectroscopy UV: 

Chromophore, auxochrome, bathochromic and hypsochromic shift, effect of conjugation and stability on λmax Woodward- Fieser rule for calculation of max of polyenes. I R: Absorption frequency of Various functional groups and Factors on which Vmax depend.

 Structure of Atom 

Bohr's model, quantum numbers and Modern Atomic Theory.

Periodic properties

Atomic and ionic radii, ionization potential, electron affinity, electronegativity Lattice energy, hydration energy and their relation to solubility of ionic compounds.

Chemical bonding

Ionic, covalent, coordinate and hydrogen bonding. Shape of molecules.

 Coordination Chemistry

3d block elements, nomenclature of complexes, ligands (monodentate, bidentate, polydentate), Werner theory and valence bond theory, Biologically active coordination compounds (haemoglobin, myoglobin, vitamin B12, chlorophyll)

 Oxidation and Reduction

Oxidation number, redox reaction and standard electrode potential of half cell and its application in inorganic chemistry.

 Radioactivity

Natural radioactivity, radioactive decay, properties of, and Rays,half life period, nuclear fission and nuclear fusion. 

Chemical kinetics and catalysis

Molecularity, order of reaction, examples of zero, first and second order reaction, examples of catalytic and enzymatic reactions.

Thermodynamics

First and second law of thermodynamics, enthalpy of a system and capacity at constant volume and pressure, relation between Cp and Cv Extensive and intensive property.

Chemical equilibrium

Law of mass action, Le-Chatelier principle and its application, degree of dissociation, relation between Kp and Kc activity and activity coefficient.

Ionic equilibrium

Dissociation of weak acid (Ka) and weak base.(K ), hydrolysis of salts of weak acid and Weak base, strong acid-weak base and weak acid- strong base. Solubility and solubility product. Dissociation constant of water (Kw), buffer solution and pH of the buffer solution.

A.MECHANICS 

1. Vector algebra: scalar and vector products, vector identities, background of vector calculus, concept of line, surface and volume integrals, physical meaning of gradient, divergence and curl, Gauss and Stoke's theorems. 

Centre of mass, rotating frame of reference, coriolis force, motion of rigid bodies, moment of inertia, theorem of parallel and perpendicular axes, movement of inertia of sphere, ring, cylinder and disc. Angular momentum, torque, central force, Kepler's Law, motion of satellite (including geostationary satellite), Galilieon transformation, special theory of relativity, Michelson - Morley experiment, Lorentz transformation equations, variation of mass and length with velocity, time dilation, addition of velocities and mass energy equivalence relation. Stream line and turbulent motions, Reynold's number, Stoke's law, Poiseulle's formula, flow of liquid through narrow tube. Bernoulli's formula with applications, surface tension, Stress- strain relationship, Hooke's Law, modulii of elasticity and interrelation between them Poisson's ratio, elastic energy. Physical world and measurement, Kinematics, Laws of motion, Work energy and power, Gravitation.

2.THERMAL PHYSICS  

Concept of temperature and the zeroth law, first law of thermodynamics and internal energy, isothermal and adiabatic changes, second law of thermodynamics, Entropy, Carnot cycle and Carnot engine, absolute scale of temperature. Maxwell's thermodynamical relations. The Clausius- Clapeyron equation, porus plug experiment and Joule Thomson effect. Kinetic theory of gases, Maxwell distribution law of velocities, calculation of mean velocity, root mean square velocity and the Most probable velocity, degrees of freedom, Law of equipartition of energy, specific heats of gases, mean free path, transport phenomena. Black body radiation, Stefan's law, Newtons law of cooling Wien's law, Rayleigh Jeans’ law, Planck's law, solar constant. Production of low temperatures by adiabatic demagnetization. Behaviour of ideal gas and molecular theory of gasses.

3.WAVE AND OSCILLATION 

Oscillation, simple harmonic motion, stationary and progressive waves, damped harmonic-motion, forced oscillations and resonance, sharpness of resonance, wave equation, Plane and spherical waves superposition of waves. Fourier analysis of periodic waves- square and triangular waves, phase and group velocities, Beats.

4.OPTICS 

Cardinal points of a coaxial system, simple problems on combination of thin lenses eyepiece- Ramsdon and Huygens eyepieces. Huygen's principle, conditions for sustained interference Young double slit experiment division of amplitude and wavefront, Fresnel biprism, Newtons rings, Michelson interferometer, diffraction by straight edge, single, double and multiple slits. Rayleigh's criterion, resolving power of optical instruments. Polarization, production and detection of polarized light (linear circular and elliptical) Brewster's law, Huygen's theory of double refraction, optical rotation, polarimeter

5.LESER 

Temporal and spatial coherence, stimulated emission, basic ideas about laser emission, Ruby and He-Ne lasers

6.ELECTRICITY AND MAGNETISM 

Gauss law and its applications, electric potential, Kirchoff's laws and their applications, Wheatstone's bridge, Biot-Savart law, Ampere's circuital law, and their applications. Magnetic induction and field strength, magnetic field on the axis of circular coil, Electro magnetic induction, Faraday's and Lenz's law, self and mutual inductances, alternating current, L.C.R. circuits, series and parallel resonance Circuits, quality factor. Maxwell's equations and electromagnetic waves transverse nature of electromagnetic waves, Poynting vector, dia-, para-, ferro-, antiferro- and feri-magnetism (qualitative approach only), hysteresis .

7.MODERN PHYSICS 

Bohr's theory of hydrogen atom, electron spin, Pauli's exclusion principle, optical and X-ray spectra, spatial quantization and Stern-Gerlach experiment, vector model of the atom, spectral terms, fine structure of spectral lines J-J and L-S coupling, Zeeman effect, Raman effect, photoelectric effect, Compton effect, de Broglie waves, wave-particle duality, Uncertainty principle, postulates of quantum mechanics, Schrodinger wave equation and its applications to (i) particle in a box (ii) motion across a step potential (iii) one dimensional harmonic oscillator, and eigen values, Einstein's and debye theory of specific heat of solids. Band theory of solids energy band, Kronig-Penny model in one dimension, energy gap, distinction between metals, semiconductors and insulators, variation of Fermi level with temperature and effective mass. Radio activity, alfa, beta and gamma radiations, elementary theory of alpha decay, nuclear binding energy, Semi empirical mass formula, nuclear fission and fussion and nuclear reactors elementary particles, particle accelerator, cyclotron, linear accelerator, Elementary idea's of super conductivity.

8.ELECTRONICS 

Intrinsic and extrinsic semiconductors, PN junction, Zener diode and their characteristics, unipolar and bipolar transisters solar cells, use of diode and transistor for rectification, amplification, oscillation, modulation and detection, r.f. waves. Logic gates and their truth tables, some applications.

 0. General Physics & Kinematics (3 Core topics)  

 •  Physical world and measurement
• Kinematics
•  Laws of motion
1. Mechanics  (7 Topics and 59 subtopics )  

I . Vector Calculus (7 Core  topics)  

 •  Scalar and vector products
•  Vector identities
•  Background of vector calculus
•  Concept of line, surface and volume integrals
•  Physical meaning of gradient, divergence and curl
•  Gauss's divergence theorem
•  Stokes' theorem

II . Rigid Body Dynamics (9 Core topics)  

 •  Centre of mass
•  Rotating frame of reference
•  Coriolis force
•  Motion of rigid bodies
•  Moment of inertia
•  Theorem of parallel and perpendicular axes
•  Moment of inertia of sphere, ring, cylinder and disc
•  Angular momentum
•  Torque

III . Central Forces & Gravitation (5 Core topics)  

 •  Central force motion
•  Kepler's Laws of planetary motion
•  Motion of satellite
•  Geostationary satellite
•  Gravitation principles, work, energy, and power

IV. Special Relativity (9 Core topics)  

 •  Galilean transformation
•  Special theory of relativity
•  Michelson-Morley experiment
•  Lorentz transformation equations
•  Variation of mass with velocity
•  Length contraction
•  Time dilation
•  Addition of velocities
•  Mass-energy equivalence relation

V. Fluid Mechanics (6 Core topics)  

 •  Streamline and turbulent motions

•  Reynolds number
•  Stokes' law
•  Poiseuille's formula
•  Flow of liquid through narrow tube
•  Bernoulli's formula with applications
VI. Properties of Matter (6 Core topics)  

 •  Surface tension
•  Stress-strain relationship
•  Hooke's Law
•  Modulii of elasticity and interrelation between them
•  Poisson's ratio
•  Elastic energy

2. Thermal Physics (4 Topics | 33 sub topics)  

I. Thermodynamics Foundations (7 Core topics)  

 •  Concept of temperature and the zeroth law
•  First law of thermodynamics and internal energy
•  Isothermal and adiabatic changes
•  Second law of thermodynamics
•  Entropy
•  Carnot cycle and Carnot engine
•  Absolute scale of temperature
II.Thermodynamic Relations (4 Core topics)  

 •  Maxwell's thermodynamical relations
•  The Clausius-Clapeyron equation
•  Porous plug experiment and Joule Thomson effect
•  Production of low temperatures by adiabatic demagnetization

    Kinetic Theory of Gases (9 Core topics) 

   •  Behaviour of ideal gas and molecular theory of gases
•  Kinetic theory of gases
•  Maxwell distribution law of velocities
•  Calculation of mean velocity, root mean square velocity and the Most probable velocity
•  Degrees of freedom
•  Law of equipartition of energy
•  Specific heats of gases
•  Mean free path
•  Transport phenomena
    Radiation (7 Core topics)  

 •  Black body radiation
•  Stefan's law
•  Newton's law of cooling
•  Wien's law
•  Rayleigh Jeans' law
•  Planck's law
•  Solar constant
3. Waves & Oscillations (2 Topics | 14 sub topics)    

 I. Oscillations & Resonance (6 Core topics)  

 •  Oscillation
•  Simple harmonic motion
•  Damped harmonic-motion
•  Forced oscillations and resonance
•  Sharpness of resonance
•  Quality factor

II.  Wave Propagation (6 Core topics)  

 •  Wave equation
•  Plane and spherical waves
•  Superposition of waves
•  Fourier analysis of periodic waves - square and triangular waves
•  Phase and group velocities
•  Beats
4. Optics (4 Topics | 26 sub topics)  

I. Geometrical Optics (4 Core Items)  

 •  Cardinal points of a coaxial system
•  Simple problems on combination of thin lenses
•  Ramsden eyepiece
•  Huygens eyepiece
 II. Interference  (7 Core topics)  

 •  Huygen's principle
•  Conditions for sustained interference
•  Young double slit experiment
•  Division of amplitude and wavefront
•  Fresnel biprism
•  Newtons rings
•  Michelson interferometer

 III. Diffraction & Resolving Power (4 Core Items)  

 •  Diffraction by straight edge
•  Single, double and multiple slits
•  Rayleigh's criterion
•  Resolving power of optical instruments

 IV. Polarization (6 Core topics)  

 •  Polarization
•  Production and detection of polarized light (linear circular and elliptical)
•  Brewster's law
•  Huygen's theory of double refraction
•  Optical rotation
•  Polarimeter
5. Laser (1 Topic | 6Sub topics)  

I. Laser Fundamentals & Systems (5 Core topics)  

 •  Temporal and spatial coherence
•  Stimulated emission
•  Basic ideas about laser emission
•  Ruby laser
•  He-Ne laser
6. Electricity & Magnetism (4 Topics | 27 sub topics)  

I. Electrostatics & DC Circuits  (4 Core topics)  

 •  Gauss law and its applications
•  Electric potential
•  Kirchhoff's laws and their applications
•  Wheatstone's bridge

7. Modern Physics (5 Topics | 41 topics ) 

 I. Atomic Physics & Spectroscopy (11 Core topics )    

•  Bohr's theory of hydrogen atom
•  Electron spin
•  Pauli's exclusion principle
•  Optical and X-ray spectra
•  Spatial quantization and Stern-Gerlach experiment
•  Vector model of the atom
•  Spectral terms
•  Fine structure of spectral lines
•  J-J and L-S coupling
•  Zeeman effect
•  Raman effect
II. Quantum Mechanics Foundations (7 Core topics )  

 •  Photoelectric effect
•  Compton effect
•  de Broglie waves
•  Wave-particle duality
•  Uncertainty principle
•  Postulates of quantum mechanics
•  Schrodinger wave equation

III. Quantum Mechanics Applications (3 Core topics)  

 •  Application: Particle in a box
•  Application: Motion across a step potential
•  Application: One dimensional harmonic oscillator and eigen values

IV. Solid State Physics (7 Core topics)  

 •  Einstein's and debye theory of specific heat of solids
•  Band theory of solids
•  Energy band, Kronig-Penny model in one dimension
•  Energy gap
•  Distinction between metals, semiconductors and insulators
•  Variation of Fermi level with temperature and effective mass
•  Elementary ideas of super conductivity
V. Nuclear & Particle Physics (8 Core topics)  

 •  Radio activity
•  Alfa, beta and gamma radiations
•  Elementary theory of alpha decay
•  Nuclear binding energy
•  Semi empirical mass formula
•  Nuclear fission and fusion and nuclear reactors
•  Elementary particles
•  Particle accelerator, cyclotron, linear accelerator
8. Electronics (3 Topics | 16 topics)  

I. Semiconductor Devices (4 Core topics)    

•  Intrinsic and extrinsic semiconductors
•  PN junction, Zener diode and their characteristics
•  Unipolar and bipolar transistors
•  Solar cells

III.  Electronic Circuits & Communication (2 Core topics) 

   •  Use of diode and transistor for rectification, amplification, oscillation, modulation and detection
• R.f. waves

 IV. Digital Electronics (2 Core topics)

 •  Logic gates and their truth tables
•  Some applications

U.P. EDUCATION SERVICE SELECTION COMMISSION, PRAYAGRAJ

TGT MATHEMATICS SYLLABUS 2026

Subject Code - 03 (English Medium)

Sets, Relations and Functions, Types of Relations, Equivalence Relations, Composition of Functions, Inverse Functions. Theory of Equations: Quadratic equations and expressions, Roots and coefficients, Symmetric functions of roots, Transformation of equations. Progressions: Arithmetic, Geometric and Harmonic Progressions (AP, GP, HP), Sum of n terms, Means. Permutations and Combinations: Fundamental principles of counting, Formulas for nPr and nCr, Applications. Binomial Theorem: Positive, negative, and fractional indices, General and middle terms, Exponential and Logarithmic Series.

Matrices: Types of matrices, Addition, Subtraction, and Multiplication of matrices, Transpose of a matrix, Symmetric and Skew-symmetric matrices, Adjoint and Inverse of a matrix. Determinants: Properties of determinants, Expansion, Minors and Cofactors, System of linear equations and solution using Cramer's Rule and Matrix Inversion Method, Rank of a Matrix.

Trigonometric ratios and identities, Compound angles, Multiple and Sub-multiple angles, Transformation formulas. Trigonometric Equations and General Solutions. Properties of Triangles: Sine rule, Cosine rule, Projection formulas, In-radius, Ex-radii, Circum-radius, and Solution of Triangles. Inverse Trigonometric Functions: Properties and solutions. Heights and Distances. Complex Numbers: De Moivre's Theorem and its simple applications, Hyperbolic Functions.

2D Geometry: Cartesian coordinates, Distance formula, Section formula, Area of a triangle. Straight Lines: Angle between two lines, Pair of straight lines, Distance of a point from a line. Circles: Standard and general equation, Tangent and Normal, Condition of tangency, Family of circles. Conic Sections: Standard equations, properties, tangents and normals of Parabola, Ellipse, and Hyperbola. 3D Geometry: Direction Cosines and Direction Ratios, Planes and Straight Lines in 3D, Shortest distance between two skew lines, Sphere.

Differential Calculus: Limits, Continuity, and Differentiability. Derivatives of standard functions, Chain rule, Implicit and Parametric differentiation. Tangents and Normals, Monotonicity, Rolle's Theorem and Lagrange's Mean Value Theorem, Maxima and Minima of functions of one variable, Successive differentiation, Expansion of functions. Integral Calculus: Indefinite and Definite integrals, Integration by substitution, parts, and partial fractions. Properties of definite integrals, Area bounded by plane curves. Differential Equations: Order and degree, First order and first degree differential equations (Variable separable, Homogeneous, Linear differential equations).

Vector Algebra: Vectors and Scalars, Addition of vectors, Position vector, Scalar and Vector products of two and three vectors (Dot, Cross, Scalar Triple Product, Vector Triple Product) and their geometric applications. Statics: Coplanar forces, Equilibrium conditions, Moments, Couples, Resultant of concurrent and parallel forces, Center of Gravity. Dynamics: Motion in a straight line, Rectilinear motion with uniform acceleration, Projectiles, Motion under gravity, Work, Power, and Energy, Laws of Motion.

Statistics: Measures of Central Tendency (Mean, Median, Mode), Measures of Dispersion (Range, Mean Deviation, Variance, Standard Deviation), Frequency distribution. Correlation and Regression coefficients, Lines of regression. Probability: Random experiments, Sample space, Events, Axiomatic definition of probability, Addition and Multiplication theorems, Conditional probability, Bayes' Theorem, Binomial and Poisson distributions.

UP TGT SCIENCE SYLLABUS 2026

Subject Code - 05

1. General Physics (Mechanics)

Units and Dimensions, Vector and Scalar quantities, Product (Scalar and Vector products), Gradient, Divergence and Curl, Gauss, Stokes Theorem and applications. Motion, Force and Acceleration, Equations of Motion, Kinetic and Potential Energy, Linear and Angular momentum. Conservation of Energy and Momentum, Conservative and Non-conservative forces, Rotational motion, Centrifugal and Centripetal force, Gravitational force, Central force, Kepler's laws of planetary motion, Geostationary satellites, Gravitational acceleration, Escape velocity, Simple and Compound pendulum, Moment of Inertia, Parallel and Perpendicular axes theorem, Moment of Inertia of sphere, ring, disc and cylinder, Angular momentum and torque. Streamlined and turbulent flow, Critical velocity, Stokes and Poiseuille's formulas, Bernoulli's theorem and applications. Surface tension, Excess pressure inside curved surfaces of liquids, Surface energy, Flow of liquid in a capillary. Elasticity: Elastic constants, mutual relations between them, Bending moment, Cantilever. Theory of Relativity, change in length, time and mass, Mass-Energy equivalence.

2. Heat

Concept of heat and temperature, Various temperature measuring scales, Absolute temperature, Thermal expansion of solids, gases and liquids, Conductors and Insulators, Radiation of heat, Black body radiation, Rayleigh-Jeans and Wien's laws, Planck's radiation formula, Newton's law of cooling, Stefan's law, Internal energy, Isothermal and Adiabatic changes, First and Second laws of thermodynamics, Carnot engine, Entropy, Maxwell's thermodynamic relations, Joule-Thomson effect, Clausius-Clapeyron equation.

3. Waves and Oscillations

Simple harmonic motion, Progressive and Stationary waves, Phase and Group velocity, Damped harmonic motion, Forced oscillations and resonance, Resonance sharpness. Superposition of waves, Beats and Lissajous figures, Doppler effect.

4. Optics

Spherical mirrors and lenses, Refractive index, Formulas for focal lengths, Coaxial system, Combination of thin lenses, Eyepieces, Ramsden and Huygens eyepieces, Chromatic aberration of lenses, Human eye, Long-sightedness, Short-sightedness. Basic concepts of Interference, Diffraction and Polarization, Biprism, Newton's rings, Fresnel-Fraunhofer diffraction, Rayleigh criterion, Resolving power, Zone plate and working principles of gratings. Double refraction, Plane, circular and elliptical polarization, Quarter and Half-wave plates, General concept of Laser, Ruby and Helium-Neon lasers.

5. Electricity and Magnetism

Primary and Secondary cells, Internal resistance, Electromotive force, Laws of combination of resistances and capacitors, Current, Drift velocity and Conductivity, Galvanometer, Ammeter and Voltmeter, Wheatstone bridge and its applications, Electric Field, Electric Potential, Gauss Law, Biot-Savart law, Ampere's circuital law, Electromagnetic induction, Faraday's and Lenz's laws. Self-induction and Mutual induction, Alternating current, Series and Parallel (LCR) circuits, Introductory knowledge of dia-, para- and ferro-magnetism, Electromagnetic Maxwell's equations, Displacement current, Electromagnetic waves.

6. Modern Physics

Structure of atom, Vector and Bohr's model of atom, Pauli's Exclusion Principle, Optical and X-ray Spectra, Photoelectric effect, Compton effect, Zeeman, Paschen-Back and Raman effect, de Broglie Waves, Uncertainty principle, Schrödinger equation, Radioactivity, Metals, Semiconductors and Insulators, P-N Junction, Zener Diode, Transistor and their uses. Logic gates, Truth tables, Boolean algebra.

1. Matter & Laws of Chemical Combinations

Matter: Nature and behaviour, types of matter, elements and their classification (metals and non-metals), compounds and their mixtures. Laws of Chemical Combinations: Laws of constant proportions, multiple proportions and reciprocal proportions, Gay-Lussac's law of gaseous volumes, Mitscherlich's law of isomorphism.

2. Structure of Matter & Atomic Structure

Structure of Matter: Dalton's atomic theory, atoms, molecules and their characteristics. Atomic structure: Discovery of the electron, proton, and neutron. Rutherford's alpha-ray scattering experiment and discovery of the nucleus. Atomic models of Rutherford, Bohr and Sommerfeld. Quantum numbers, modern atomic theory. de Broglie equation, Heisenberg Uncertainty principle, shape of s, p and d orbitals, Electronic configuration based on Aufbau principle, Hund's rule and Pauli's exclusion principle.

3. Radioactivity

Discovery of radioactivity, radioactive rays and their characteristics, half life and average life, laws of radioactive decay, nuclear fission and fusion, artificial radioactivity. Isotopes, Isobars and Isoelectronics.

4. Chemical Bonding

Fundamental concepts of valency, electronic theory, octet rule, exceptions to octet rule, electrovalent, covalent and coordinate bonds. Characteristics of ionic, covalent and coordinate compounds. Polarization and Fajans' rule. Inert pair effect, valence bond theory of covalency (for hydrogen molecule), hybridization and shapes of sp, sp², sp³ hybrid orbitals.

5. Chemical Reactions & Types

Symbols, ions, and formulas, presentation of chemical reactions by chemical equations. Physical and chemical changes and their differences. Types of chemical reactions: Displacement, addition, dissociation, decomposition, double decomposition, slow, fast, exothermic, endothermic and catalysed reactions.

6. Electrochemical Cells

Voltaic cell and its mechanism of working, Dry cell, lead storage battery, reversible cell, electrode potential, Nernst equation and its applications.

7. Periodic Classification of Elements

Mendeleeff's periodic classification and its basis, Merits and demerits of the Mendleeff's periodic table, modified form of the periodic table and its important features, periodic properties of elements (atomic and ionic radii, ionization potential, electron affinity and electronegativity), variation of periodic properties in groups and periods. General properties of s and p block elements. Discussion of the properties of first row transition elements (3d block elements) with reference to their electronic configuration, oxidation state, colour, magnetic properties and complex compounds formation.

8. General Organic Chemistry

Inductive, electromeric and mesomeric effects, Hyperconjugation, resonance and their applications, electrophilic and nucleophilic reagents, free radicals, carbocations and carbanions. Hydrogen bonding and its effects. Classification and nomenclature of organic compounds.

9. Isomerism & Organic Compounds

Isomerism: Structural and stereoisomerism, concept of mechanism of organic reactions, mechanism of simple substitution, addition and neutralization reactions. Methods of preparation of the following Organic compounds and their properties: alkanes, alkenes, alkynes, alkyl halides, ketones, acids and their derivatives. Benzene, its preparation, properties and structure.

ADHYAYANAM

Excellence in Teacher Recruitment Coaching

UP TGT SCIENCE

(Subject Code — 05)

Complete Syllabus  •  Structured Study Modules  •  Previous-Year Question-Paper Pattern Analysis

2026 BATCH  |  RECORDED VIDEO LECTURES + LIVE STREAM CLASSES

EXAMINATION SCHEME

The table below summarises the current UP TGT written-examination pattern that this course is mapped against. Candidates preparing for the Science paper should treat the Concerned Subject section as the highest-priority area of study.

This document compiles the official UP TGT Science syllabus (Subject Code 05) into a structured, teachable module — organised exactly the way the Adhyayanam faculty team delivers it through recorded video lectures and live stream classes. Each topic has been broken down into manageable units, mapped to an estimated question-paper weightage derived from an analysis of previous years' papers, and paired with a video-lecture count so that students can plan their preparation timeline with precision.

The syllabus is divided into two sections as prescribed: Section A – Physics and Section B – Chemistry. Detailed module-wise breakdowns for both sections follow on the next pages.

Six modules covering complete Physics as per the prescribed UP TGT Science syllabus.

Section A Total: 6 Modules  |  100 Recorded Video Lectures

Nine modules covering complete Chemistry as per the prescribed UP TGT Science syllabus.

Section B Total: 9 Modules  |  100 Recorded Video Lectures

Based on Adhyayanam faculty's analysis of previous years' UP TGT Science papers, the relative emphasis given to each topic within Physics and Chemistry is summarised below. These figures are indicative planning estimates — used internally to sequence the video curriculum and mock-test difficulty — and should be read alongside the official syllabus, not as a substitute for it.

Section A — Physics

Section B — Chemistry

High-priority zones (highest bars above) receive proportionally more recorded lectures, extra practice sheets and dedicated live doubt-clearing sessions in the Adhyayanam study plan.

The complete UP TGT Science course is delivered as a blend of self-paced recorded lectures and scheduled live classes, so that working candidates and full-time aspirants can both follow the same structured timeline.

What the Course Includes

•  Topic-wise recorded video lectures (watch anytime, unlimited replays for course validity)

•  Live interactive stream classes with faculty, held on a weekly timetable

•  Printable / downloadable module notes for every topic listed in this syllabus

•  Section-wise and full-length mock tests modelled on the previous-year paper pattern

•  Weekly live doubt-clearing sessions

•  Performance tracking dashboard and topic-wise scorecards

•  Dedicated WhatsApp / Telegram support group for announcements and quick queries

Choose the plan that fits your preparation style. EMI options are available on all plans; scholarship discounts apply for early enrolment.

* Fees are indicative and subject to change. Please confirm current fees, active offers and EMI terms directly with the Adhyayanam admissions team before enrolling.

ENROLL TODAY

Secure your seat in the UP TGT Science 2026 Batch

Website: www.adhyayanam.co.in

Call / WhatsApp: 6307728647

ADHYAYANAM — Where Preparation Meets Precision