Syllabus

MATHEMATICS

UNIT I: ALGEBRA

• SETS, RELATIONS AND FUNCTIONS
• COMPLEX NUMBERS
• QUADRATIC EQUATIONS
• SEQUENCES AND SERIES
• PERMUTATIONS, COMBINATIONS, BINOMIAL THEOREM AND MATHEMATICAL INDUCTION
• MATRICES AND DETERMINANTS
• LINEAR INEQUATIONS
• MATHEMATICAL LOGIC AND BOOLEAN ALGEBRA

UNIT II: TRIGONOMETRY

• TRIGONOMETRIC FUNCTIONS AND INVERSE TRIGONOMETRIC FUNCTIONS

UNIT III: GEOMETRY

• CARTESIAN SYSTEM OF RECTANGULAR CO ORDINATES
• LINES AND FAMILY OF LINES
• CIRCLES AND FAMILY OF CIRCLES
• CONIC SECTIONS
• VECTORS
• THREE DIMENSIONAL GEOMETRY

UNIT IV: STATISTICS

• STATISTICS AND PROBABILITY

UNIT V : CALCULUS

• FUNCTIONS, LIMITS AND CONTINUITY
• DIFFERENTIATION
• APPLICATION OF DERIVATIVES
• INDEFINITE INTEGRALS
• DEFINITE INTEGRALS
• DIFFERENTIAL EQUATIONS

PHYSICS

• UNIT 1: INTRODUCTION AND MEASUREMENT
• UNIT 2: DESCRIPTION OF MOTION IN ONE DIMENSION
• UNIT 3: DESCRIPTION OF MOTION IN TWO AND THREE DIMENSIONS
• UNIT 4: LAWS OF MOTION
• UNIT 5: WORK, ENERGY AND POWER
• UNIT 6: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY ROTATION
• UNIT 7: GRAVITATION
• UNIT 8: MECHANICS OF SOLIDS AND FLUIDS
• UNIT 9: HEAT AND THERMODYNAMICS
• UNIT 10: OSCILLATIONS
• UNIT 11: WAVES
• UNIT 12: ELECTROSTATICS
• UNIT 13: CURRENT ELECTRICITY
• UNIT 14: MAGNETIC EFFECT OF CURRENT AND MAGNETISM
• UNIT 15: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT
• UNIT 16: ELECTROMAGNETIC WAVES
• UNIT 17: OPTICS
• UNIT 18: DUAL NATURE OF MATTER AND RADIATIONS
• UNIT 19: ATOMIC NUCLEUS
• UNIT 20: SOLIDS AND SEMICONDUCTOR DEVICES
• UNIT 21: PRINCIPLES OF COMMUNICATIONS

CHEMISTRY

• UNIT 1: BASIC CONCEPTS AND ATOMIC STRUCTURE
• UNIT 2: BONDING AND MOLECULAR STRUCTURE
• UNIT 3: STATES OF MATTER
• UNIT 4: PERIODIC PROPERTIES OF ELEMENTS AND HYDROGEN
• UNIT 5: S-BLOCK ELEMENTS AND PRINCIPLES OF METALLURGY
• UNIT 6: P-BLOCK ELEMENTS
• UNIT 7: D-BLOCK AND F-BLOCK ELEMENTS
• UNIT 8: THERMODYNAMICS
• UNIT 9: CHEMICAL EQUILIBRIUM
• UNIT 10: SOLUTIONS
• UNIT 11: REDOX REACTIONS AND ELECTROCHEMISTRY
• UNIT 12: CHEMICAL KINETICS
• UNIT 13: SURFACE CHEMISTRY
• UNIT 14: COORDINATION COMPOUNDS AND ORGANOMETALLICS
• UNIT 15: BASIC PRINCIPLES, PURIFICATION AND CHARACTERIZATION OF ORGANIC COMPOUNDS
• UNIT 16: HYDROCARBONS
• UNIT 17: ORGANIC REACTION MECHANISM
• UNIT 18: STEREOCHEMISTRY
• UNIT 19: ORGANIC COMPOUNDS WITH FUNCTIONAL GROUPS CONTAINING HALOGENS
• UNIT 20: ORGANIC COMPOUNDS WITH FUNCTIONAL GROUPS CONTAINING OXYGEN
• UNIT 21: ORGANIC COMPOUNDS WITH FUNCTIONAL GROUPS CONTAINING NITROGEN
• UNIT 22: POLYMERS AND BIOMOLECULES
• UNIT 23: ENVIRONMENTAL CHEMISTRY AND CHEMISTRY IN EVERY DAY LIFE

BIOLOGY

• UNIT 1: DIVERSITY IN THE LIVING WORLD
• UNIT 2: PLANT KINGDOM
• UNIT 3: CELL AND CELL DIVISION
• UNIT 4: PHYSIOLOGY OF PLANTS
• UNIT 5: REPRODUCTION, GROWTH AND DEVELOPMENT
• UNIT 6: ECOLOGY AND ENVIRONMENT
• UNIT 7: BIOTECHNOLOGY
• UNIT 8: ORIGIN AND EVOLUTION OF LIFE
• UNIT 9: ANIMAL KINGDOM
• UNIT 10: STRUCTURAL ORGANISATION OF THE BODY
• UNIT 11: GENETICS
• UNIT 12: PHYSIOLOGY OF ANIMALS
• UNIT 13: REPRODUCTION AND DEVELOPMENT IN ANIMALS
• UNIT 14: BIODIVERSITY AND CONSERVATION
• UNIT 15: BIOLOGY IN HUMAN WELFARE