Topics

Sets, Relations and Functions

Complex Numbers

Matrices and Determinants

Quadratic Equations

Permutation and Combination

Mathematical Induction and its application

Trigonometry

Sequences and series

Differential Calculus

Applications of differential Calculus

Integral Calculus

Differential Equations

Straight lines in two Dimensions

Circles in two dimensions

Conic sections in two dimensions

Vector Algebra

Measures of Central Tendency and Dispersion

Probability

Topics

Use of Antonyms, synonyms, idioms

Fill in the blanks

Reading Comprehension passages

Corrections of grammatical errors

Usage of Parts of speech, tenses, conditional

Syntax of Vocabulary Usage

Jumbled Sentences

Sentence Correction and usage

Phrasal Verbs

Units 

Topics

Unit 1

Physical World and Measurement

·         Physics-scope and excitement; nature of physical laws, Units of measurement; systems of units

Unit 2

Kinematics

·         Motion in a straight line, uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion velocity - time and position-time graphs.

Unit 3

Laws of Motion

·         Motion in a Plane - Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion, uniform circular motion.

Unit 4

Work, Energy and Power

·         Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power

Unit 5

Motion of System of Particles and Rigid Body

·         Moment of a force, torque, angular momentum, law of conservation of angular momentum and its applications

Unit 6

Gravitation

·         Kepler's laws of planetary motion, universal law of gravitation

Unit 7

Mechanical waves and Ray Optics

·         Oscillations and waves, wave motion, ray optics

Unit 8

Properties of Bulk Matter

·         Mechanical properties of solids, mechanical properties of fluids, thermal properties of matter

Unit 9

Behaviour of Perfect Gases and Kinetic Theory of Gases

·         Equation of state of a perfect gas, work done in compressing a gas

Unit 10

Thermodynamics

·         Thermal equilibrium and definition of temperature (zeroth law of thermodynamics), heat, work and internal energy

Units 

Topics

Unit 1

Some Basic Concepts of Chemistry

·         Nature of matter, Dalton's atomic theory, concept of elements, atoms and molecules

·         Chemical reactions and calculations based on stoichiometry

Unit 2

Structure of Atoms

·         Bohr's model and its limitations, concept of shells and subshells

·         Concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals

Unit 3

Classification of Elements and Periodicity in Properties 

·         Modern periodic law and the present form of periodic table, periodic trends in properties of elements

Unit 4

Chemical Bonding and Molecular structure

·         Valence electrons, ionic bond, covalent bond, bond parameters

·         Resonance, geometry of covalent molecules

Unit 5

States of Matter: Gases, Liquids and Solids

·         Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule

·         Liquid State: vapour pressure, viscosity and surface tension

·         Solid state: Classification of solids based on different binding forces

Unit 6

Chemical Thermodynamics

·         Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions

·         First law of thermodynamics

·         Second law of Thermodynamics

·         Third law of thermodynamics

Unit 7

Equilibrium

·         Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant,factors affecting equilibrium- Le Chatelier's principle

Unit 8

Redox Reactions

·         Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions

Unit 9

Hydrogen

·         Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen

Unit 10

s-Block Elements (Alkali and Alkaline Earth Metals)

·         Group 1 and Group 2 Elements General introduction

·         Preparation and Properties of Some Important Compounds

·         Calcium Oxide and Calcium Carbonate and their industrial uses, biological importance of Magnesium and Calcium

Unit 11

p -Block Elements

·         General Introduction to p -Block Elements

Unit 12

Organic Chemistry - Some Basic Principles and Techniques

·         General introduction, methods of purification

·         Homolytic and heterolytic fission of a covalent bond

Unit 13

Hydrocarbons and Classification of Hydrocarbons

Unit 14

Environmental Chemistry

·         Environmental pollution, chemical reactions in atmosphere, smog, major atmospheric pollutants

Day to Day National and International Events

Latest News

Latest Events

Current Affairs

Politics

Sports

Science and Economic News

General Arithmetic

Data Interpretation

Percentage

Profit and Loss

Discount

Time, Speed and Distance

Algebra

Time and Work

Number System

Permutation and Combination

Probability

Arrangement

Series

Blood Relations

Venn Diagram

Syllogism

Assumptions

Verbal Reasoning (cause and effect)

Situation-based Decision Making

Companies and Founders

Awards

Sports

Books and Authors

Science

Current Affairs