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

Physical World and Measurement

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

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.

Laws of Motion

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

Work, Energy and Power

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

Motion of System of Particles and Rigid Body

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

Gravitation

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

Mechanical waves and Ray Optics

·         Oscillations and waves, wave motion, ray optics

Properties of Bulk Matter

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

Behaviour of Perfect Gases and Kinetic Theory of Gases

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

Thermodynamics

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

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

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

Classification of Elements and Periodicity in Properties 

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

Chemical Bonding and Molecular structure

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

·         Resonance, geometry of covalent molecules

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

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

Equilibrium

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

Redox Reactions

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

Hydrogen

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

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

p -Block Elements

·         General Introduction to p -Block Elements

Organic Chemistry - Some Basic Principles and Techniques

·         General introduction, methods of purification

·         Homolytic and heterolytic fission of a covalent bond

Hydrocarbons and Classification of Hydrocarbons

Environmental Chemistry

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

Topics

Description

General English (Standard of questions will be of Graduation level)

Grammatical Error Comprehension of passage Verbal Reasoning, Syllogisms, Antonyms, Fill in the Blanks, Jumbled paragraphs with 4 or 5 sentences Sentence Correction, Sentence completion, Sentence Correction, idioms, one-word substitution, Different usage of same word etc

General Knowledge and Awareness

Current Affairs, Business Trends, Punch line of companies, Top officials of big companies, Major corporate events Famous award and prizes General Science, History, Geography, International organizations Social issues, Sports, Finance, Automobiles, Entertainment, Politics etc.

Data Interpretation and Quantitative Reasoning

Data Interpretation based on text, Data Interpretation based on graphs and tables. Graphs can be Column graphs, Bar Graphs, Line charts, Pie chart, Graphs representing Area, Venn Diagram Ratios and Proportion, Ratios, Percentages, In – equations, Algebra and Profit & Loss Averages, Percentages, Partnership, Time – Speed – Distance, Work and time Probability, Permutations & Combinations

General Reasoning

Critical reasoning, Visual reasoning, Assumption – Premise – Conclusion, Assertion and reasons, Statements and assumptions, identifying valid inferences, identifying Strong arguments and Weak arguments, Statements and Conclusions, Cause and Effect, Identifying Probably true, Probably false, definitely true, definitely false kind of statement, Linear arrangements, Matrix arrangements. Puzzles, Syllogisms, Functions, Family tree – identifying relationship among group of people, Symbol Based problems, Coding and decoding, Sequencing, identifying next number in series, etc.