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IIT-JEE Coaching by Intelligence Career institute | Hazratganj Lucknow

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IIT-JEE Coaching by Intelligence Career institute | Hazratganj Lucknow

Intelligence Career Institute, Lucknow is one of the leading coaching centers dedicated to helping engineering aspirants achieve their dream of cracking IIT-JEE. With a strong focus on conceptual clarity, problem-solving skills, and consistent practice, the institute provides a well-structured learning environment for students. Our expert faculty members specialize in Physics, Chemistry, and Mathematics, ensuring complete syllabus coverage with easy-to-understand teaching methods. We believe in guiding every student individually, helping them strengthen their weak areas and improve overall performance for JEE Main and JEE Advanced.

Educator

Live

Classroom (Offline)

STARTS ON

15th Jun

DURATION

1 YEAR

LANGUAGE

English / Hindi

SAVE 25%

Yearly Price

₹100,000₹75,000

Pay₹6,250/month

SAVE 25%

Yearly Price

₹100,000₹75,000

Pay₹6,250/month

311+ Students Enrolled via Learnees

⚡24/7 Support by Learnees

1. Mathematics:1 Sets, Relations and Functions

Topics:

Sets and their representation
union
intersection and complement of sets and their algebraic properties
power set
relations
types of relations
equivalence relations
functions
one-one
into and onto functions
composition of functions

Hands-on:

Skills You Will Learn:

2. Mathematics:2 Complex Numbers and Quadratic Equations

Topics:

Complex numbers as ordered pairs of reals
representation of complex numbers in the form a + ib and in a plane
Argand diagram
algebra of complex numbers
modulus and argument of a complex number
quadratic equations in real and complex number systems and their solutions
relations between roots and coefficients
nature of roots
formation of quadratic equations with given roots

Hands-on:

Skills You Will Learn:

3. Mathematics:3 Matrices and Determinants

Topics:

Matrices
algebra of matrices
types of matrices
determinants and matrices of order two and three
evaluation of determinants
area of triangles using determinants
adjoint and inverse of a square matrix
test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Hands-on:

Skills You Will Learn:

4. Mathematics:4 Permutations and Combinations

Topics:

Fundamental principle of counting
permutations and combinations
meaning of P(n
r) and C(n
r)
simple applications

Hands-on:

Skills You Will Learn:

5. Mathematics:5 Binomial Theorem and Its Simple Applications

Topics:

Binomial theorem for a positive integral index
general term
middle term
simple applications

Hands-on:

Skills You Will Learn:

6. Mathematics:6 Sequence and Series

Topics:

Arithmetic progression
geometric progression
insertion of arithmetic mean and geometric mean between two given numbers
relation between A.M. and G.M.

Hands-on:

Skills You Will Learn:

7. Mathematics:7 Limit, Continuity and Differentiability

Topics:

Real-valued functions
algebra of functions
polynomial
rational
trigonometric
logarithmic and exponential functions
inverse functions
graphs of simple functions
limits
continuity and differentiability
differentiation of sum
difference
product and quotient of functions
differentiation of trigonometric
inverse trigonometric
logarithmic
exponential
composite and implicit functions
derivatives up to order two
applications of derivatives including rate of change of quantities
increasing and decreasing functions
maxima and minima of functions of one variable.

Hands-on:

Skills You Will Learn:

8. Mathematics:8 Integral Calculus

Topics:

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
fundamental theorem of calculus
properties of definite integrals
evaluation of definite integrals
determining areas of regions bounded by simple curves in standard forms.

Hands-on:

Skills You Will Learn:

9. Mathematics:9 Differential Equations

Topics:

Ordinary differential equations
order and degree of differential equations
solution by the method of separation of variables
solution of homogeneous and linear differential equations of the type dy/dx + P(x)y= Q(x)

Hands-on:

Skills You Will Learn:

10. Mathematics:10 Coordinate Geometry

Topics:

Cartesian system of rectangular coordinates in a plane
distance formula
section formula
locus and its equation
slope of a line
parallel and perpendicular lines
intercepts of a line on the coordinate axes
various forms of equations of a straight line
intersection of lines
angle between two lines
conditions for concurrence of three lines
distance of a point from a line
coordinates of centroid
orthocentre and circumcentre of a triangle
standard form and general form of equation of a circle
radius and centre of a circle
equation of a circle when endpoints of diameter are given
points of intersection of a line and a circle
conic sections
equations of parabola
ellipse and hyperbola in standard forms

Hands-on:

Skills You Will Learn:

11. Mathematics:11 Three Dimensional Geometry

Topics:

Coordinates of a point in space
distance between two points
section formula
direction ratios
direction cosines
angle between two intersecting lines
equation of a line
skew lines
shortest distance between them and its equation.

Hands-on:

Skills You Will Learn:

12. Mathematics:12 Vector Algebra

Topics:

Vectors and scalars
addition of vectors
components of a vector in two dimensions and three-dimensional space
scalar product
vector product.

Hands-on:

Skills You Will Learn:

13. Mathematics:13 Statistics and Probability

Topics:

Measures of dispersion
calculation of mean
median and mode of grouped and ungrouped data
calculation of standard deviation
variance and mean deviation for grouped and ungrouped data
probability of an event
addition and multiplication theorems of probability
Bayes' theorem
probability distribution of a random variable

Hands-on:

Skills You Will Learn:

14. Mathematics:14 Trigonometry

Topics:

Trigonometrical identities
trigonometrical functions
inverse trigonometrical functions and their properties

Hands-on:

Skills You Will Learn:

15. Physics: Module 1-Kinematics

Topics:

Basics of Motion
Types of Motion
Scalars and Vectors
Equations of Motion
Motion Under Gravity
Graphical Analysis of Motion
Relative Motion
Projectile Motion

Hands-on:

Test practice alternative

Skills You Will Learn:

Kinematics

16. Physics: Module 2- Laws of Motion

Topics:

Introduction to Force and Inertia
Newton’s First Law of Motion
Newton’s Second Law of Motion
Newton’s Third Law of Motion
Types of Forces
Free Body Diagram
Friction (Static
Kinetic
Rolling)
Laws of Friction
Circular Motion and Centripetal Force
Dynamics of Circular Motion

Hands-on:

Motion excercise with practice

Skills You Will Learn:

Law's of motions

17. Physics: Module 3-Physics and Measurement

Topics:

Units of Measurements
System of Units
S.I. Units
Fundamental and Derived Units
Least Count
Significant Figures
Errors in Measurements
Dimensions of Physical Quantities
Dimensional Analysis
and Applications

Hands-on:

Skills You Will Learn:

18. Physics: Module 4- Work, Energy, and Power

Topics:

Work done by a constant force and a variable force
kinetic and potential energies
work-energy theorem
power
The potential energy of spring conservation of mechanical energy
conservative and nonconservative forces
motion in a vertical circle: Elastic and inelastic collisions in one and two dimensions

Hands-on:

Skills You Will Learn:

19. Physics: Module 5-Rotational Motion

Topics:

Centre of the mass of a two-particle system
Centre of the mass of a rigid body; Basic concepts of rotational motion
moment of a force
torque
angular momentum
conservation of angular momentum and its applications
The moment of inertia
the radius of gyration
values of moments of inertia for simple geometrical objects
parallel and perpendicular axes theorems and their applications
Equilibrium of rigid bodies
rigid body rotation and equations of rotational motion
comparison of linear and rotational motions

Hands-on:

Skills You Will Learn:

20. Physics: Module 6-Gravitation

Topics:

The universal law of gravitation
Acceleration due to gravity and its variation with altitude and depth
Kepler's law of planetary motion
Gravitational potential Energy
Escape velocity
Motion of a satellite
orbital velocity
time period and energy of satellite

Hands-on:

Skills You Will Learn:

21. Physics: Module 7-Properties of Solids and Liquids

Topics:

Elastic behaviour
Stress-strain relationship
Hooke's Law
Young's modulus
bulk modulus
modulus of rigidity
Pressure due to a fluid column
Pascal's law and its applications
Effect of gravity on fluid pressure
Viscosity Stokes' law
terminal velocity
streamline
and turbulent flow; critical velocity
Bernoulli's principle and its application

Hands-on:

Skills You Will Learn:

22. Physics: Module 8-Thermodynamics

Topics:

Thermal equilibrium
zeroth law of thermodynamics
the concept of temperature. Heat
work
and internal energy
The first law of thermodynamics
isothermal and adiabatic processes
The second law of thermodynamics: reversible and irreversible processes.

Hands-on:

Skills You Will Learn:

23. Physics: Module 9-Kinetic Theory of Gases

Topics:

Equation of state of a perfect gas
work done on compressing a gas
Kinetic theory of gases - assumptions
the concept of pressure
Kinetic interpretation of temperature: RMS speed of gas molecules & Degrees of freedom
Law of equipartition of energy and applications to specific heat capacities gases: Mean free path
Avogadro's number

Hands-on:

Skills You Will Learn:

24. Physics: Module 10-Oscillations and Waves

Topics:

Oscillations and periodic motion - time period; frequency & displacement as a function of time
Periodic functions
Simple harmonic motion (S.H.M.)
Wave motion
Longitudinal and transverse waves
speed of travelling wave
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

Hands-on:

Skills You Will Learn:

25. Physics: Module 11-Electrostatics

Topics:

Electric charges
Electric Field
Electric flux

Hands-on:

Skills You Will Learn:

26. Physics: Module 12-Current Electricity

Topics:

Electric current
Drift velocity
mobility and their relation with electric current Ohm's law
Electrical resistance .. V-1 characteristics of Ohmic and non-ohmic conductors
Electrical energy and power
Electrical resistivity and conductivity
Series and parallel combinations of resistors
Temperature dependence of resistance
Internal resistance
potential difference and emf of a cell
a combination of cells in series and parallel
Kirchhoff's laws and their applications
Wheatstone bridge
Metre Bridge

Hands-on:

Skills You Will Learn:

27. Physics: Module 13-Magnetic Effects & Magnetism

Topics:

Biot - Savart law and its application to current carrying circular loop
Ampere's law and its applications to infinitely long current carrying straight wire and solenoid
Force on a moving charge in uniform magnetic and electric fields
Force on a current-carrying conductor in a uniform magnetic field
The force between two parallel currents carrying conductors-definition of ampere
Torque experienced by a current loop in a uniform magnetic field: Moving coil galvanometer; its sensitivity; conversion to ammeter and Current
loop as a magnetic dipole and its magnetic dipole moment
Bar magnet as an equivalent; solenoid; magnetic field lines
Magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis
Torque on a magnetic dipole in a uniform magnetic field
Para-; dia- and ferromagnetic substances with examples; effect of temperature on magnetic properties

Hands-on:

Skills You Will Learn:

28. Physics: Module 14-Electromagnetic Induction & AC

Topics:

Electromagnetic induction: Faraday's law
Induced emf and current: Lenz's Law; Eddy currents
Self and mutual inductance
Alternating currents
peak and RMS value of alternating current/ voltage; reactance and impedance; LCR series circuit
resonance: power in AC circuits
wattless current
AC generator and transformer

Hands-on:

Skills You Will Learn:

29. Physics: Module 15-Electromagnetic Waves

Topics:

Displacement current
Electromagnetic waves and their characteristics
Transverse nature of electromagnetic waves
Electromagnetic spectrum (radio waves; microwaves; infrared; visible; ultraviolet; X-rays
Applications of e.m. waves

Hands-on:

Skills You Will Learn:

30. Physics: Module 16-Optics

Topics:

Reflection of light
spherical mirrors
mirror formula
Refraction of light at plane and spherical surfaces
thin lens formula and lens maker formula
Total internal reflection and its applications
Magnification
Power of a Lens
Combination of thin lenses in contact
Refraction of light through a prism
Microscope and Astronomical Telescope (reflecting and refracting ) and their magnifying powers
Wave optics: wavefront and Huygens' principle
Laws of reflection and refraction using Huygens principle
Interference
Young's double-slit experiment and expression for fringe width
coherent sources
sustained interference of light
Diffraction due to a single slit
width of central maximum .. Polarization
plane-polarized light: Brewster's law
uses of plane-polarized light and Polaroid

Hands-on:

Skills You Will Learn:

31. Physics: Module 17-Dual Nature of Matter and Radiation

Topics:

Dual nature of radiation
Photoelectric effect
Hertz and Lenard's observations
Einstein's photoelectric equation: particle nature of light
Matter waves-wave nature of particle
de Broglie relation

Hands-on:

Skills You Will Learn:

32. Physics: Module 18-Atoms and Nuclei

Topics:

Alpha-particle scattering experiment
Rutherford's model of atom
Bohr model
energy levels
hydrogen spectrum
Composition and size of nucleus
atomic masses
Mass- energy relation
mass defect
binding energy per nucleon and its variation with mass number
nuclear fission
fusion

Hands-on:

Skills You Will Learn:

33. Physics: Module 19-Electronic Devices

Topics:

Semiconductors
semiconductor diode: I-V characteristics in forward and reverse bias
diode as a rectifier; I-V characteristics of LED
the photodiode
solar cell
Zener diode
Zener diode as a voltage regulator .. Logic gates (OR. AND. NOT. NAND and NOR)

Hands-on:

Skills You Will Learn:

34. Physics: Module 20-Experimental Skills

Topics:

Vernier calipers
pendulum
prism
diode experiments

Hands-on:

Skills You Will Learn:

35. Chemistry: Unit 1- Some Basic concepts of Chemistry

Topics:

Dalton's atomic theory
atom
molecule
element
compound
laws of chemical combination
atomic and molecular masses
mole concept
molar mass
percentage composition
empirical and molecular formulae
chemical equations
stoichiometry

Hands-on:

Skills You Will Learn:

36. Chemistry: Unit 2- Atomic Structure

Topics:

Electromagnetic radiation
photoelectric effect
hydrogen spectrum
Bohr model
energy relations
radii of orbits
limitations of Bohr model
dual nature of matter
de Broglie relation
Heisenberg uncertainty principle
elementary quantum mechanics
atomic orbitals
quantum numbers
shapes of s
p and d orbitals
electron spin
Aufbau principle
Pauli exclusion principle
Hund's rule
electronic configuration
stability of half-filled and completely filled orbitals

Hands-on:

Skills You Will Learn:

37. Chemistry: Unit 3- Classification of Elements & Periodicity in Properties

Topics:

Modern periodic law
periodic table
classification into s
p
d and f block elements
periodic trends
atomic radius
ionic radius
ionization enthalpy
electron gain enthalpy
valence
oxidation states
chemical reactivity

Hands-on:

Skills You Will Learn:

38. Chemistry: Unit 4- Chemical Bonding & Molecular Structure

Topics:

Kossel-Lewis approach
ionic bond
covalent bond
ionic bond formation
lattice enthalpy
electronegativity
Fajan's rule
dipole moment
VSEPR theory
molecular shapes
valence bond theory
hybridization
resonance
molecular orbital theory
LCAO
bonding and antibonding orbitals
sigma and pi bonds
homonuclear diatomic molecules
bond order
bond length
bond energy
metallic bonding
hydrogen bonding

Hands-on:

Skills You Will Learn:

39. Chemistry: Unit 5- Chemical Thermodynamics

Topics:

System and surroundings
Extensive and intensive properties
State functions
Types of processes
First law of thermodynamics
Work
Heat
Internal energy
Enthalpy
Heat capacity
Molar heat capacity
Hess's law
Bond dissociation enthalpy
Enthalpy of combustion
Formation
Atomization
Sublimation
Phase transition
Hydration
Ionization and solution
Second law of thermodynamics
Gibbs energy
Relation with spontaneity
Entropy
Equilibrium constant

Hands-on:

Skills You Will Learn:

40. Chemistry: Unit 6- Equilibrium

Topics:

Dynamic equilibrium
physical equilibria
solid-liquid
liquid-gas
solid-gas equilibria
Henry's law
chemical equilibrium
law of chemical equilibrium
Kp; Kc
Gibbs energy relation
factors affecting equilibrium
Le Chatelier's principle
ionic equilibrium
weak and strong electrolytes
Arrhenius acids and bases
Brønsted-Lowry theory
Lewis theory
pH scale
common ion effect
salt hydrolysis
solubility product
buffers

Hands-on:

Skills You Will Learn:

41. Chemistry: Unit 7- Redox Reactions

Topics:

Oxidation and reduction
oxidation number
rules for oxidation number
balancing redox reactions

Hands-on:

Skills You Will Learn:

42. Chemistry: Unit 8- Some Basic Concepts of Organic Chemistry

Topics:

Tetravalency of carbon
hybridization
classification of organic compounds
homologous series
isomerism
structural and stereoisomerism
trivial and IUPAC nomenclature
covalent bond fission
homolytic and heterolytic cleavage
free radicals
carbocations
carbanions
inductive effect
electromeric effect
hyperconjugation
substitution
addition
elimination and rearrangement reactions

Hands-on:

Skills You Will Learn:

43. Chemistry: Unit 9- Purification & Characterization of Organic Compounds

Topics:

Crystallization
sublimation
distillation
differential extraction
chromatography
qualitative analysis of nitrogen
sulphur
phosphorus and halogens
quantitative analysis of carbon
hydrogen
nitrogen
halogens
sulphur and phosphorus
empirical and molecular formula calculations
related numericals

Hands-on:

Skills You Will Learn:

44. Chemistry: Unit 10- Hydrocarbons

Topics:

Classification and nomenclature
isomerism
alkanes
preparation
properties and reactions
Sawhorse and Newman projections of ethane
halogenation mechanism
alkenes
geometrical isomerism
electrophilic addition
addition of hydrogen
halogens
water and hydrogen halides
Markovnikov Rule Markovnikov rule
peroxide effect
ozonolysis
polymerization
alkynes
acidic character
addition reactions
aromatic hydrocarbons
benzene structure and aromaticity
electrophilic substitution
Friedel-Crafts reactions
directive influence of substituents

Hands-on:

Skills You Will Learn:

45. Chemistry: Unit 11- Solutions

Topics:

Molality
molarity
mole fraction
percentage by mass and volume
vapour pressure
Raoult's law
ideal and non-ideal solutions
vapour pressure-composition plots
colligative properties
relative lowering of vapour pressure
depression of freezing point
elevation of boiling point
osmotic pressure
determination of molar mass
abnormal molar mass
Van't Hoff factor

Hands-on:

Skills You Will Learn:

46. Chemistry: Unit 12- Electrochemistry

Topics:

Electrolytic and metallic conduction
conductance
molar conductivity
Kohlrausch's law
electrolytic and galvanic cells
electrode types
electrode potential
standard electrode potential
half-cell and cell reactions
EMF measurement
Nernst equation
relation between cell potential and Gibbs free energy change
dry cell
lead accumulator
fuel cells

Hands-on:

Skills You Will Learn:

47. Chemistry: Unit 13- Chemical Kinetics

Topics:

Rate of reaction
factors affecting rate
elementary and complex reactions
order and molecularity
rate law
rate constant
zero and first order reactions
differential and integral forms
half-life
Arrhenius equation
activation energy
collision theory

Hands-on:

Skills You Will Learn:

48. Chemistry: Unit 14- P-Block Elements

Topics:

Electronic configurations
general trends in physical and chemical properties across periods and groups
anomalous behaviour of the first element in each group

Hands-on:

Skills You Will Learn:

49. Chemistry: Unit 15- D and F Block Elements

Topics:

First row transition metals
occurrence
electronic configuration
physical and chemical properties
ionization enthalpy
oxidation states
atomic radii
colour
catalytic properties
magnetic properties
complex formation
interstitial compounds
alloy formation
preparation and uses of Potassium dichromate and Potassium permanganate
lanthanoids
oxidation states
lanthanoid contraction
actinoids

Hands-on:

Skills You Will Learn:

50. Chemistry: Unit 16: Coordination Compounds

Topics:

nomenclature
isomerism
valence bond theory
crystal field theory
colour
magnetic properties
applications in qualitative analysis
metallurgy and biology

Hands-on:

Skills You Will Learn:

51. Chemistry: Unit 17- Organic Compounds Containing Halogen

Topics:

Preparation
properties
reactions
nature of carbon-halogen bond
substitution mechanisms
uses of haloalkanes and haloarenes
environmental effects of chloroform
iodoform
freons and DDT

Hands-on:

Skills You Will Learn:

52. Chemistry: Unit 18- Organic Compounds Containing Oxygen

Topics:

Alcohols
phenols and ethers
preparation
properties
reactions
uses
identification of primary
secondary and tertiary alcohols
dehydration mechanism
acidic nature of phenol
Reimer–Tiemann reaction
ethers
aldehydes and ketones
carbonyl group
relative reactivity
nucleophilic addition
Victor Grignard reagent
oxidation
reduction
acidity of alpha hydrogen
aldol condensation
Cannizzaro haloform reaction
tests for aldehydes and ketones
carboxylic acids and acidic strength

Hands-on:

Skills You Will Learn:

53. Chemistry: Unit 19- Organic Compounds Containing Nitrogen

Topics:

Amines
nomenclature
classification
structure
basic nature
preparation
reactions
identification of primary
secondary and tertiary amines
diazonium salts
preparation
properties
reactions
importance in organic synthesis

Hands-on:

Skills You Will Learn:

54. Chemistry: Unit 20- Biomolecules

Topics:

Carbohydrates
classification
aldoses
ketoses
glucose
fructose
sucrose
lactose
maltose
proteins
amino acids
peptide bond
polypeptides
levels of protein structure
denaturation
enzymes
vitamins
nucleic acids
DNA
RNA
hormones

Hands-on:

Skills You Will Learn:

55. Chemistry: Unit 21- Principles Related to Practical Chemistry

Topics:

Detection of nitrogen
sulphur and halogens
detection of hydroxyl
carbonyl
carboxyl and amino groups
preparation of Mohr's salt and potash alum
preparation of acetanilide
p-nitro acetanilide
aniline yellow and iodoform
titrimetric principles
indicators
oxalic acid vs KMnO4
Mohr's salt vs KMnO4
qualitative salt analysis of cations
experimental principles including enthalpy of solution
enthalpy of neutralization
lyophilic and lyophobic sols
kinetics of iodide and hydrogen peroxide reaction

Hands-on:

Skills You Will Learn:

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What you'll learn in IIT-JEE Coaching by Intelligence Career institute | Hazratganj Lucknow

Course Specifications3

Physics

Chemistry

Mathematics

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Full Study Material

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Curriculum / Syllabus Overview By Experts

Master the skills employers are looking for with our comprehensive, hands-on curriculum

Mathematics:1 Sets, Relations and Functions

11 Topics

Mathematics:2 Complex Numbers and Quadratic Equations

9 Topics

Mathematics:3 Matrices and Determinants

8 Topics

Mathematics:4 Permutations and Combinations

6 Topics

Mathematics:5 Binomial Theorem and Its Simple Applications

4 Topics

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1. Mathematics:1 Sets, Relations and Functions

Topics:

Sets and their representation
union
intersection and complement of sets and their algebraic properties
power set
relations
types of relations
equivalence relations
functions
one-one
into and onto functions
composition of functions

2. Mathematics:2 Complex Numbers and Quadratic Equations

Topics:

Complex numbers as ordered pairs of reals
representation of complex numbers in the form a + ib and in a plane
Argand diagram
algebra of complex numbers
modulus and argument of a complex number
quadratic equations in real and complex number systems and their solutions
relations between roots and coefficients
nature of roots
formation of quadratic equations with given roots

3. Mathematics:3 Matrices and Determinants

Topics:

Matrices
algebra of matrices
types of matrices
determinants and matrices of order two and three
evaluation of determinants
area of triangles using determinants
adjoint and inverse of a square matrix
test of consistency and solution of simultaneous linear equations in two or three variables using matrices

4. Mathematics:4 Permutations and Combinations

Topics:

Fundamental principle of counting
permutations and combinations
meaning of P(n
r) and C(n
r)
simple applications

5. Mathematics:5 Binomial Theorem and Its Simple Applications

Topics:

Binomial theorem for a positive integral index
general term
middle term
simple applications

6. Mathematics:6 Sequence and Series

Topics:

Arithmetic progression
geometric progression
insertion of arithmetic mean and geometric mean between two given numbers
relation between A.M. and G.M.

7. Mathematics:7 Limit, Continuity and Differentiability

Topics:

Real-valued functions
algebra of functions
polynomial
rational
trigonometric
logarithmic and exponential functions
inverse functions
graphs of simple functions
limits
continuity and differentiability
differentiation of sum
difference
product and quotient of functions
differentiation of trigonometric
inverse trigonometric
logarithmic
exponential
composite and implicit functions
derivatives up to order two
applications of derivatives including rate of change of quantities
increasing and decreasing functions
maxima and minima of functions of one variable.

8. Mathematics:8 Integral Calculus

Topics:

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
fundamental theorem of calculus
properties of definite integrals
evaluation of definite integrals
determining areas of regions bounded by simple curves in standard forms.

9. Mathematics:9 Differential Equations

Topics:

Ordinary differential equations
order and degree of differential equations
solution by the method of separation of variables
solution of homogeneous and linear differential equations of the type dy/dx + P(x)y= Q(x)

10. Mathematics:10 Coordinate Geometry

Topics:

Cartesian system of rectangular coordinates in a plane
distance formula
section formula
locus and its equation
slope of a line
parallel and perpendicular lines
intercepts of a line on the coordinate axes
various forms of equations of a straight line
intersection of lines
angle between two lines
conditions for concurrence of three lines
distance of a point from a line
coordinates of centroid
orthocentre and circumcentre of a triangle
standard form and general form of equation of a circle
radius and centre of a circle
equation of a circle when endpoints of diameter are given
points of intersection of a line and a circle
conic sections
equations of parabola
ellipse and hyperbola in standard forms

11. Mathematics:11 Three Dimensional Geometry

Topics:

Coordinates of a point in space
distance between two points
section formula
direction ratios
direction cosines
angle between two intersecting lines
equation of a line
skew lines
shortest distance between them and its equation.

12. Mathematics:12 Vector Algebra

Topics:

Vectors and scalars
addition of vectors
components of a vector in two dimensions and three-dimensional space
scalar product
vector product.

13. Mathematics:13 Statistics and Probability

Topics:

Measures of dispersion
calculation of mean
median and mode of grouped and ungrouped data
calculation of standard deviation
variance and mean deviation for grouped and ungrouped data
probability of an event
addition and multiplication theorems of probability
Bayes' theorem
probability distribution of a random variable

14. Mathematics:14 Trigonometry

Topics:

Trigonometrical identities
trigonometrical functions
inverse trigonometrical functions and their properties

15. Physics: Module 1-Kinematics

Topics:

Basics of Motion
Types of Motion
Scalars and Vectors
Equations of Motion
Motion Under Gravity
Graphical Analysis of Motion
Relative Motion
Projectile Motion

16. Physics: Module 2- Laws of Motion

Topics:

Introduction to Force and Inertia
Newton’s First Law of Motion
Newton’s Second Law of Motion
Newton’s Third Law of Motion
Types of Forces
Free Body Diagram
Friction (Static
Kinetic
Rolling)
Laws of Friction
Circular Motion and Centripetal Force
Dynamics of Circular Motion

17. Physics: Module 3-Physics and Measurement

Topics:

Units of Measurements
System of Units
S.I. Units
Fundamental and Derived Units
Least Count
Significant Figures
Errors in Measurements
Dimensions of Physical Quantities
Dimensional Analysis
and Applications

18. Physics: Module 4- Work, Energy, and Power

Topics:

Work done by a constant force and a variable force
kinetic and potential energies
work-energy theorem
power
The potential energy of spring conservation of mechanical energy
conservative and nonconservative forces
motion in a vertical circle: Elastic and inelastic collisions in one and two dimensions

19. Physics: Module 5-Rotational Motion

Topics:

Centre of the mass of a two-particle system
Centre of the mass of a rigid body; Basic concepts of rotational motion
moment of a force
torque
angular momentum
conservation of angular momentum and its applications
The moment of inertia
the radius of gyration
values of moments of inertia for simple geometrical objects
parallel and perpendicular axes theorems and their applications
Equilibrium of rigid bodies
rigid body rotation and equations of rotational motion
comparison of linear and rotational motions

20. Physics: Module 6-Gravitation

Topics:

The universal law of gravitation
Acceleration due to gravity and its variation with altitude and depth
Kepler's law of planetary motion
Gravitational potential Energy
Escape velocity
Motion of a satellite
orbital velocity
time period and energy of satellite

21. Physics: Module 7-Properties of Solids and Liquids

Topics:

Elastic behaviour
Stress-strain relationship
Hooke's Law
Young's modulus
bulk modulus
modulus of rigidity
Pressure due to a fluid column
Pascal's law and its applications
Effect of gravity on fluid pressure
Viscosity Stokes' law
terminal velocity
streamline
and turbulent flow; critical velocity
Bernoulli's principle and its application

22. Physics: Module 8-Thermodynamics

Topics:

Thermal equilibrium
zeroth law of thermodynamics
the concept of temperature. Heat
work
and internal energy
The first law of thermodynamics
isothermal and adiabatic processes
The second law of thermodynamics: reversible and irreversible processes.

23. Physics: Module 9-Kinetic Theory of Gases

Topics:

Equation of state of a perfect gas
work done on compressing a gas
Kinetic theory of gases - assumptions
the concept of pressure
Kinetic interpretation of temperature: RMS speed of gas molecules & Degrees of freedom
Law of equipartition of energy and applications to specific heat capacities gases: Mean free path
Avogadro's number

24. Physics: Module 10-Oscillations and Waves

Topics:

Oscillations and periodic motion - time period; frequency & displacement as a function of time
Periodic functions
Simple harmonic motion (S.H.M.)
Wave motion
Longitudinal and transverse waves
speed of travelling wave
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

25. Physics: Module 11-Electrostatics

Topics:

Electric charges
Electric Field
Electric flux

26. Physics: Module 12-Current Electricity

Topics:

Electric current
Drift velocity
mobility and their relation with electric current Ohm's law
Electrical resistance .. V-1 characteristics of Ohmic and non-ohmic conductors
Electrical energy and power
Electrical resistivity and conductivity
Series and parallel combinations of resistors
Temperature dependence of resistance
Internal resistance
potential difference and emf of a cell
a combination of cells in series and parallel
Kirchhoff's laws and their applications
Wheatstone bridge
Metre Bridge

27. Physics: Module 13-Magnetic Effects & Magnetism

Topics:

Biot - Savart law and its application to current carrying circular loop
Ampere's law and its applications to infinitely long current carrying straight wire and solenoid
Force on a moving charge in uniform magnetic and electric fields
Force on a current-carrying conductor in a uniform magnetic field
The force between two parallel currents carrying conductors-definition of ampere
Torque experienced by a current loop in a uniform magnetic field: Moving coil galvanometer; its sensitivity; conversion to ammeter and Current
loop as a magnetic dipole and its magnetic dipole moment
Bar magnet as an equivalent; solenoid; magnetic field lines
Magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis
Torque on a magnetic dipole in a uniform magnetic field
Para-; dia- and ferromagnetic substances with examples; effect of temperature on magnetic properties

28. Physics: Module 14-Electromagnetic Induction & AC

Topics:

Electromagnetic induction: Faraday's law
Induced emf and current: Lenz's Law; Eddy currents
Self and mutual inductance
Alternating currents
peak and RMS value of alternating current/ voltage; reactance and impedance; LCR series circuit
resonance: power in AC circuits
wattless current
AC generator and transformer

29. Physics: Module 15-Electromagnetic Waves

Topics:

Displacement current
Electromagnetic waves and their characteristics
Transverse nature of electromagnetic waves
Electromagnetic spectrum (radio waves; microwaves; infrared; visible; ultraviolet; X-rays
Applications of e.m. waves

30. Physics: Module 16-Optics

Topics:

Reflection of light
spherical mirrors
mirror formula
Refraction of light at plane and spherical surfaces
thin lens formula and lens maker formula
Total internal reflection and its applications
Magnification
Power of a Lens
Combination of thin lenses in contact
Refraction of light through a prism
Microscope and Astronomical Telescope (reflecting and refracting ) and their magnifying powers
Wave optics: wavefront and Huygens' principle
Laws of reflection and refraction using Huygens principle
Interference
Young's double-slit experiment and expression for fringe width
coherent sources
sustained interference of light
Diffraction due to a single slit
width of central maximum .. Polarization
plane-polarized light: Brewster's law
uses of plane-polarized light and Polaroid

31. Physics: Module 17-Dual Nature of Matter and Radiation

Topics:

Dual nature of radiation
Photoelectric effect
Hertz and Lenard's observations
Einstein's photoelectric equation: particle nature of light
Matter waves-wave nature of particle
de Broglie relation

32. Physics: Module 18-Atoms and Nuclei

Topics:

Alpha-particle scattering experiment
Rutherford's model of atom
Bohr model
energy levels
hydrogen spectrum
Composition and size of nucleus
atomic masses
Mass- energy relation
mass defect
binding energy per nucleon and its variation with mass number
nuclear fission
fusion

33. Physics: Module 19-Electronic Devices

Topics:

Semiconductors
semiconductor diode: I-V characteristics in forward and reverse bias
diode as a rectifier; I-V characteristics of LED
the photodiode
solar cell
Zener diode
Zener diode as a voltage regulator .. Logic gates (OR. AND. NOT. NAND and NOR)

34. Physics: Module 20-Experimental Skills

Topics:

Vernier calipers
pendulum
prism
diode experiments

35. Chemistry: Unit 1- Some Basic concepts of Chemistry

Topics:

Dalton's atomic theory
atom
molecule
element
compound
laws of chemical combination
atomic and molecular masses
mole concept
molar mass
percentage composition
empirical and molecular formulae
chemical equations
stoichiometry

36. Chemistry: Unit 2- Atomic Structure

Topics:

Electromagnetic radiation
photoelectric effect
hydrogen spectrum
Bohr model
energy relations
radii of orbits
limitations of Bohr model
dual nature of matter
de Broglie relation
Heisenberg uncertainty principle
elementary quantum mechanics
atomic orbitals
quantum numbers
shapes of s
p and d orbitals
electron spin
Aufbau principle
Pauli exclusion principle
Hund's rule
electronic configuration
stability of half-filled and completely filled orbitals

37. Chemistry: Unit 3- Classification of Elements & Periodicity in Properties

Topics:

Modern periodic law
periodic table
classification into s
p
d and f block elements
periodic trends
atomic radius
ionic radius
ionization enthalpy
electron gain enthalpy
valence
oxidation states
chemical reactivity

38. Chemistry: Unit 4- Chemical Bonding & Molecular Structure

Topics:

Kossel-Lewis approach
ionic bond
covalent bond
ionic bond formation
lattice enthalpy
electronegativity
Fajan's rule
dipole moment
VSEPR theory
molecular shapes
valence bond theory
hybridization
resonance
molecular orbital theory
LCAO
bonding and antibonding orbitals
sigma and pi bonds
homonuclear diatomic molecules
bond order
bond length
bond energy
metallic bonding
hydrogen bonding

39. Chemistry: Unit 5- Chemical Thermodynamics

Topics:

System and surroundings
Extensive and intensive properties
State functions
Types of processes
First law of thermodynamics
Work
Heat
Internal energy
Enthalpy
Heat capacity
Molar heat capacity
Hess's law
Bond dissociation enthalpy
Enthalpy of combustion
Formation
Atomization
Sublimation
Phase transition
Hydration
Ionization and solution
Second law of thermodynamics
Gibbs energy
Relation with spontaneity
Entropy
Equilibrium constant

40. Chemistry: Unit 6- Equilibrium

Topics:

Dynamic equilibrium
physical equilibria
solid-liquid
liquid-gas
solid-gas equilibria
Henry's law
chemical equilibrium
law of chemical equilibrium
Kp; Kc
Gibbs energy relation
factors affecting equilibrium
Le Chatelier's principle
ionic equilibrium
weak and strong electrolytes
Arrhenius acids and bases
Brønsted-Lowry theory
Lewis theory
pH scale
common ion effect
salt hydrolysis
solubility product
buffers

41. Chemistry: Unit 7- Redox Reactions

Topics:

Oxidation and reduction
oxidation number
rules for oxidation number
balancing redox reactions

42. Chemistry: Unit 8- Some Basic Concepts of Organic Chemistry

Topics:

Tetravalency of carbon
hybridization
classification of organic compounds
homologous series
isomerism
structural and stereoisomerism
trivial and IUPAC nomenclature
covalent bond fission
homolytic and heterolytic cleavage
free radicals
carbocations
carbanions
inductive effect
electromeric effect
hyperconjugation
substitution
addition
elimination and rearrangement reactions

43. Chemistry: Unit 9- Purification & Characterization of Organic Compounds

Topics:

Crystallization
sublimation
distillation
differential extraction
chromatography
qualitative analysis of nitrogen
sulphur
phosphorus and halogens
quantitative analysis of carbon
hydrogen
nitrogen
halogens
sulphur and phosphorus
empirical and molecular formula calculations
related numericals

44. Chemistry: Unit 10- Hydrocarbons

Topics:

Classification and nomenclature
isomerism
alkanes
preparation
properties and reactions
Sawhorse and Newman projections of ethane
halogenation mechanism
alkenes
geometrical isomerism
electrophilic addition
addition of hydrogen
halogens
water and hydrogen halides
Markovnikov Rule Markovnikov rule
peroxide effect
ozonolysis
polymerization
alkynes
acidic character
addition reactions
aromatic hydrocarbons
benzene structure and aromaticity
electrophilic substitution
Friedel-Crafts reactions
directive influence of substituents

45. Chemistry: Unit 11- Solutions

Topics:

Molality
molarity
mole fraction
percentage by mass and volume
vapour pressure
Raoult's law
ideal and non-ideal solutions
vapour pressure-composition plots
colligative properties
relative lowering of vapour pressure
depression of freezing point
elevation of boiling point
osmotic pressure
determination of molar mass
abnormal molar mass
Van't Hoff factor

46. Chemistry: Unit 12- Electrochemistry

Topics:

Electrolytic and metallic conduction
conductance
molar conductivity
Kohlrausch's law
electrolytic and galvanic cells
electrode types
electrode potential
standard electrode potential
half-cell and cell reactions
EMF measurement
Nernst equation
relation between cell potential and Gibbs free energy change
dry cell
lead accumulator
fuel cells

47. Chemistry: Unit 13- Chemical Kinetics

Topics:

Rate of reaction
factors affecting rate
elementary and complex reactions
order and molecularity
rate law
rate constant
zero and first order reactions
differential and integral forms
half-life
Arrhenius equation
activation energy
collision theory

48. Chemistry: Unit 14- P-Block Elements

Topics:

Electronic configurations
general trends in physical and chemical properties across periods and groups
anomalous behaviour of the first element in each group

49. Chemistry: Unit 15- D and F Block Elements

Topics:

First row transition metals
occurrence
electronic configuration
physical and chemical properties
ionization enthalpy
oxidation states
atomic radii
colour
catalytic properties
magnetic properties
complex formation
interstitial compounds
alloy formation
preparation and uses of Potassium dichromate and Potassium permanganate
lanthanoids
oxidation states
lanthanoid contraction
actinoids

50. Chemistry: Unit 16: Coordination Compounds

Topics:

nomenclature
isomerism
valence bond theory
crystal field theory
colour
magnetic properties
applications in qualitative analysis
metallurgy and biology

51. Chemistry: Unit 17- Organic Compounds Containing Halogen

Topics:

Preparation
properties
reactions
nature of carbon-halogen bond
substitution mechanisms
uses of haloalkanes and haloarenes
environmental effects of chloroform
iodoform
freons and DDT

52. Chemistry: Unit 18- Organic Compounds Containing Oxygen

Topics:

Alcohols
phenols and ethers
preparation
properties
reactions
uses
identification of primary
secondary and tertiary alcohols
dehydration mechanism
acidic nature of phenol
Reimer–Tiemann reaction
ethers
aldehydes and ketones
carbonyl group
relative reactivity
nucleophilic addition
Victor Grignard reagent
oxidation
reduction
acidity of alpha hydrogen
aldol condensation
Cannizzaro haloform reaction
tests for aldehydes and ketones
carboxylic acids and acidic strength

53. Chemistry: Unit 19- Organic Compounds Containing Nitrogen

Topics:

Amines
nomenclature
classification
structure
basic nature
preparation
reactions
identification of primary
secondary and tertiary amines
diazonium salts
preparation
properties
reactions
importance in organic synthesis

54. Chemistry: Unit 20- Biomolecules

Topics:

Carbohydrates
classification
aldoses
ketoses
glucose
fructose
sucrose
lactose
maltose
proteins
amino acids
peptide bond
polypeptides
levels of protein structure
denaturation
enzymes
vitamins
nucleic acids
DNA
RNA
hormones

55. Chemistry: Unit 21- Principles Related to Practical Chemistry

Topics:

Detection of nitrogen
sulphur and halogens
detection of hydroxyl
carbonyl
carboxyl and amino groups
preparation of Mohr's salt and potash alum
preparation of acetanilide
p-nitro acetanilide
aniline yellow and iodoform
titrimetric principles
indicators
oxalic acid vs KMnO4
Mohr's salt vs KMnO4
qualitative salt analysis of cations
experimental principles including enthalpy of solution
enthalpy of neutralization
lyophilic and lyophobic sols
kinetics of iodide and hydrogen peroxide reaction

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