sample3CBSE 11
CBSE is a national level board of education in India for public and private schools, controlled and managed by Union Government of India. Every year, the board conducts examinations during March to April and announce the results in May. Class 11 is a crucial period for students as the syllabi prepare them for the next stage of board examination—Class 12. The experts at SpeedLabs work towards the benefit of its students. The preparation for the examination lies in the books you refer for studies. Depending on the CBSE class 11 syllabus, SpeedLabs provide the reference book required for the preparation of the exam. In this link, you will find CBSE Class 11 Syllabus for Math and Science including CBSE class 11 reference books.
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Syllabus

Biology Class 11 Syllabus

Chemistry Class 11 Syllabus

Physics Class 11 Syllabus

Mathematics Class 11 Syllabus

Reference Book

Biology Class 11 Syllabus

Stroke 396

Exam Structure

Unit

Title

Marks

I

Diversity of Living Organisms

07

II

Structural Organisation in Plants & Animals

12

III

Cell: Structure and Function

15

IV

Plant Physiology

18

V

Human Physiology

18

Total

70

  • Unit I: Diversity of Living Organism
    • Chapter-1: The Living World
      • What is living? Biodiversity; Need for classification; three domains of life; taxonomy and systematics; concept of species and taxonomical hierarchy; binomial nomenclature; tools for study of taxonomy-museums, zoological parks, herbaria, botanical gardens.
    • Chapter-2: Biological Classification
      • Five kingdom classification; Salient features and classification of Monera, Protista and Fungi into major groups: Lichens, Viruses and Viroids.
    • Chapter-3: Plant Kingdom
      • Salient features and classification of plants into major groups - Algae, Bryophyta, Pteridophyta, Gymnospermae and Angiospermae (three to five salient and distinguishing features and at least two examples of each category); Angiosperms - classification upto class, characteristic features and examples.
    • Chapter-4: Animal Kingdom
      • Salient features and classification of animals non chordates up to phyla level and chordates up to class level (three to five salient features and at least two examples of each category).
      • =
      • (No live animals or specimen should be displayed.)
      • Unit 2: Structural Organisation in Animals and Plants
    • Chapter-5: Morphology of Flowering Plants
      • Morphology and modifications: Tissues
    • Chapter-6: Anatomy of Flowering Plants
      • Anatomy and functions of different parts of flowering plants: root, stem, leaf, inflorescence, flower, fruit and seed (to be dealt along with the relevant practical of the Practical Syllabus).
    • Chapter-7: Structural Organisation in Animals
      • Animal tissues: Morphology, anatomy and functions of different systems (digestive, circulatory, respiratory, nervous and reproductive) of an insect (cockroach). (a brief account only)
      • Unit 3: Cell Structure and Function
    • Chapter-8: Cell-The Unit of Life
      • Cell theory and cell as the basic unit of life: Structure of prokaryotic and eukaryotic cells; Plant cell and animal cell; Cell envelope, cell membrane, cell wall; Cell organelles - structure and function; endomembrane system, endoplasmic reticulum, Golgi bodies, lysosomes, vacuoles; mitochondria, ribosomes, plastids, microbodies; cytoskeleton, cilia, flagella, centrioles (ultrastructure and function); nucleus, nuclear membrane, chromatin, nucleolus.
    • Chapter-9: Biomolecules
      • Chemical constituents of living cells: biomolecules, structure and function of proteins, carbodydrates, lipids, nucleic acids, enzymes, types, properties, enzyme action.
    • Chapter-10: Cell Cycle and Cell Division
      • Cell cycle, mitosis, meiosis and their significance.
      • Unit 4: Plant Physiology
    • Chapter-11: Transport in Plants
      • Transport in plants; Movement of water, gases and nutrients; cell to cell transport, Diffusion, facilitated diffusion, active transport; plant-water relations, Imbibition, water potential, osmosis, plasmolysis; long distance transport of water - Absorption, apoplast, symplast, transpiration pull, root pressure and guttation; transpiration, opening and closing of stomata;Uptake and translocation of mineral nutrients - Transport of food, phloem transport, massflow hypothesis; diffusion of gases.
    • Chapter-12: Mineral Nutrition
      • Essential minerals, macro- and micronutrients and their role; deficiency symptoms; mineral toxicity; elementary idea of hydroponics as a method to study mineral nutrition; nitrogen metabolism, nitrogen cycle, biological nitrogen fixation.
    • Chapter-13: Photosynthesis in Higher Plants
      • Photosynthesis as a mean of autotrophic nutrition; site of photosynthesis, pigments involved in photosynthesis (elementary idea); photochemical and biosynthetic phases of photosynthesis; cyclic and non cyclic photophosphorylation; chemiosmotic hypothesis; photorespiration; C3 and C4 pathways; factors affecting photosynthesis.
    • Chapter-14: Respiration in Plants
      • Exchange of gases; cellular respiration - glycolysis, fermentation (anaerobic), TCA cycle and electron transport system (aerobic); energy relations - number of ATP molecules generated; amphibolic pathways; respiratory quotient.
    • Chapter-15: Plant - Growth and Development
      • Seed germination; phases of plant growth and plant growth rate; conditions of growth; differentiation, dedifferentiation and redifferentiation; sequence of developmental processes in a plant cell; growth regulators - auxin, gibberellin, cytokinin, ethylene, ABA; seed dormancy; vernalisation; photoperiodism.
      • Unit 5: Human Physiology
    • Chapter-16: Digestion and Absorption
      • Alimentary canal and digestive glands, role of digestive enzymes and gastrointestinal hormones; Peristalsis, digestion, absorption and assimilation of proteins, carbohydrates and fats; calorific values of proteins, carbohydrates and fats; egestion; nutritional and digestive disorders - PEM, indigestion, constipation, vomiting, jaundice, diarrhoea.
    • Chapter-17: Breating and Exchange of Gases
      • Respiratory organs in animals (recall only); Respiratory system in humans; mechanism of breathing and its regulation in humans - exchange of gases, transport of gases and regulation of respiration, respiratory volume; disorders related to respiration - asthma, emphysema, occupational respiratory disorders.
    • Chapter-18: Body Fluids and Circulation
      • Composition of blood, blood groups, coagulation of blood; composition of lymph and its function; human circulatory system - Structure of human heart and blood vessels; cardiac cycle, cardiac output, ECG; double circulation; regulation of cardiac activity; disorders of circulatory system - hypertension, coronary artery disease, angina pectoris, heart failure.
    • Chapter-19: Excretory Products and Their Elimination
      • Modes of excretion - ammonotelism, ureotelism, uricotelism; human excretory system - structure and function; urine formation, osmoregulation; regulation of kidney function - renin - angiotensin, atrial natriuretic factor, ADH and diabetes ; role of other organs in excretion; disorders - uraemia, renal failure, renal calculi, nephritis; dialysis and artificial kidney.
    • Chapter-20: Locomotion and Movement
      • Types of movement - ciliary, flagellar, muscular; skeletal muscle-contractile proteins and muscle contraction; skeletal system and its functions; joints; disorders of muscular and skeletal system - myasthenia gravis, tetany, muscular dystrophy, arthritis, osteoporosis, gout.
    • Chapter-21: Neural Control and Coordination
      • Neuron and nerves; Nervous system in humans - central nervous system; peripheral nervous system and visceral nervous system; generation and conduction of nerve impulse; reflex action; sensory perception; sense organs; elementary structure and functions of eye and ear.
    • Chapter-22: Chemical Coordination and Integration
      • Endocrine glands and hormones; human endocrine system - hypothalamus, pituitary, pineal, thyroid, parathyroid, adrenal, pancreas, gonads; mechanism of hormone action (elementary Idea); role of hormones as messengers and regulators, hypo - and hyperactivity and related disorders; dwarfism, acromegaly, cretinism, goiter, exophthalmic goiter, diabetes, Addision's disease.

Chemistry Class 11 Syllabus

Exam Structure

Unit

Title

Marks

I

Basic Concepts of Chemistry

11

II

Structure of Atom

III

Classification of Elements & Periodicity in Properties

04

IV

Chemical Bonding and Molecular Structure

21

V

States of Matter: Gases and Liquids

VI

Thermodynamics

VII

Equilibrium

VIII

Redox Reactions

16

IX

Hydrogen

X

s-Block Elements

XI

Some p-Block Elements

XII

Organic Chemistry: Basic Principles & Techniques

18

XIII

Hydrocarbons

XIV

Environmental Chemistry

Total

70

  • Unit I: Some Basic Concepts of Chemistry
  • General Introduction: Importance and scope of chemistry.
  • Nature of matter, laws of chemical combination, Dalton's atomic theory: concept of elements, atoms and molecules.
  • Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.
  • Unit II: Structure of Atom
  • Discovery of Electron, Proton and Neutron, atomic number, isotopes and isobars. Thomson's model and its limitations. Rutherford's model and its limitations, Bohr's model and its limitations, concept of shells and subshells, dual nature of matter and light, de Broglie's relationship, Heisenberg uncertainty principle, concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals - Aufbau principle, Pauli's exclusion principle and Hund's rule, electronic configuration of atoms, stability of half filled and completely filled orbitals.
  • Unit III: Classification of Elements and Periodicity in Properties
  • Significance of classification, brief history of the development of periodic table, modern periodic law and the present form of periodic table, periodic trends in properties of elements -atomic radii, ionic radii, inert gas radii Ionization enthalpy, electron gain enthalpy, electronegativity, valency. Nomenclature of elements with atomic number greater than 100.
  • Unit IV: Chemical Bonding and Molecular Structure
  • Valence electrons, ionic bond, covalent bond; bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, concept of hybridization, involving s,p and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only), hydrogen bond.
  • Unit V: States of Matter: Gases and Liquids
  • Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle's law, Charles law, Gay Lussac's law, Avogadro's law, ideal behaviour, empirical derivation of gas equation, Avogadro's number, ideal gas equation. Deviation from ideal behaviour, liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea)Liquid State- vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations)
  • Unit VI: Chemical Thermodynamics
  • Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions.
  • First law of thermodynamics -internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess's law of constant heat summation, enthalpy of bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionization, solution and dilution. Second law of Thermodynamics (brief introduction)
  • Introduction of entropy as a state function, Gibb's energy change for spontaneous and non-spontaneous processes, criteria for equilibrium.
  • Third law of thermodynamics (brief introduction).
  • Unit VII: Equilibrium
  • Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibrium - Le Chatelier's principle, ionic equilibrium-ionization of acids and bases, strong and weak electrolytes, degree of ionization, ionization of poly basic acids, acid strength, concept of pH, Henderson Equation, hydrolysis of salts (elementary idea), buffer solution, solubility product, common ion effect (with illustrative examples).
  • Unit VIII: Redox Reaction
  • Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions, in terms of loss and gain of electrons and change in oxidation number, applications of redox reactions.
  • Unit IX: Hydrogen
  • Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxide -preparation, reactions and structure and use; hydrogen as a fuel.
  • Unit X: s -Block Elements (Alkali and Alkaline Earth Metals)
  • Group 1 and Group 2 Elements
  • General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens, uses.
  • Preparation and Properties of Some Important Compounds:
  • Sodium Carbonate, Sodium Chloride, Sodium Hydroxide and Sodium Hydrogencarbonate, Biological importance of Sodium and Potassium. Calcium Oxide and Calcium Carbonate and their industrial uses, biological importance of Magnesium and Calcium.
  • Unit XI: Some li -Block Elements
  • General Introduction to li - Block Elements
  • Group 13 Elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group, Boron - physical and chemical properties, some important compounds, Borax, Boric acid, Boron Hydrides, Aluminium: Reactions with acids and alkalies, uses.
  • Group 14 Elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous behaviour of first elements. Carbon-catenation, allotropic forms, physical and chemical properties; uses of some important compounds: oxides. Important compounds of Silicon and a few uses: Silicon Tetrachloride, Silicones, Silicates and Zeolites, their uses.
  • Unit XII: Organic Chemistry - Some Basic Principles and Technique
  • General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds. Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance and hyper conjugation. Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions, electrophiles and nucleophiles, types of organic reactions.
  • Unit XIII: Hydrocarbons
  • Classification of Hydrocarbons
  • Aliphatic Hydrocarbons:
  • Alkanes - Nomenclature, isomerism, conformation (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis.
  • Alkenes - Nomenclature, structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation, chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markownikov's addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition.
  • Alkynes - Nomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of - hydrogen, halogens, hydrogen halides and water.
  • Aromatic Hydrocarbons: Introduction, IUPAC nomenclature, benzene: resonance, aromaticity, chemical properties: mechanism of electrophilic substitution. nitration, sulphonation, halogenation, Friedel Craft's alkylation and acylation, directive influence of functional group in monosubstituted benzene. Carcinogenicity and toxicity.
  • Unit XIV: Environmental Chemistry
  • Environmental pollution - air, water and soil pollution, chemical reactions in atmosphere, smog, major atmospheric pollutants, acid rain, ozone and its reactions, effects of depletion of ozone layer, greenhouse effect and global warming- pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategies for control of environmental pollution.

Physics Class 11 Syllabus

    Exam Structure

    Unit

    Chapter / Topic

    Marks

    I

    Physical World and Measurement

    23

    Chapter–1: Physical World

    Chapter–2: Units and Measurements

    II

    Kinematics

    Chapter–3: Motion in a Straight Line

    Chapter–4: Motion in a Plane

    III

    Laws of Motion

    Chapter–5: Laws of Motion

    IV

    Work, Energy and Power

    17

    Chapter–6: Work, Energy and Power

    V

    Motion of System of Particles

    Chapter–7: System of Particles and Rotational Motion

    VI

    Gravitation

    Chapter–8: Gravitation

    VII

    Properties of Bulk Matter

    20

    Chapter–9: Mechanical Properties of Solids

    Chapter–10: Mechanical Properties of Fluids

    Chapter–11: Thermal Properties of Matter

    VIII

    Thermodynamics

    Chapter–12: Thermodynamics

    IX

    Kinetic Theory of Gases

    Chapter–13: Kinetic Theory

    X

    Oscillation & Waves

    10

    Chapter–14: Oscillations

    Chapter–15: Waves

    Total

    70

    • Unit I: Physical World and Measurement
      • Chapter–1: Physical World
      • Physics - scope and excitement; nature of physical laws; Physics, technology and society.
      • Chapter–2: Units and Measurements
      • Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures.
      • Dimensions of physical quantities, dimensional analysis and its applications.
    • Unit II: Kinematics
      • Chapter–3: Motion in a Straight Line
      • Frame of reference, Motion in a straight line: Position-time graph, speed and velocity.
      • Elementary concepts of differentiation and integration for describing motion.Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity time and position-time graphs.
      • Relations for uniformly accelerated motion (graphical treatment).
      • Chapter–4: Motion in a Plane
      • Scalar and vector quantities; Position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane - rectangular components. Scalar and Vector product of vectors.
      • Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion. Uniform circular motion.
    • Unit III: Laws of Motion
      • Chapter–5: Laws of Motion
      • Intuitive concept of force. Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion.
      • Law of conservation of linear momentum and its applications.
      • Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction, lubrication.
      • Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on banked road).
    • Unit IV: Work, Energy and Power
      • Chapter–6: Work, Engery and Power
      • Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power.
      • Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.
    • Unit V: Motion of System of Particles and Rigid Body
      • Chapter–7: System of Particles and Rotational Motion
      • Centre of mass of a two-particle system, momentum conservation and centre of mass motion.
      • Centre of mass of a rigid body; centre of mass of a uniform rod.
      • Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications.
      • Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions.
      • Moment of inertia, radius of gyration.Values of moments of inertia, for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.
    • Unit VI: Gravitation
      • Chapter–8: Gravitation
      • Keplar's laws of planetary motion.The universal law of gravitation.
      • Acceleration due to gravity and its variation with altitude and depth.
      • Gravitational potential energy and gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.
    • Unit VII: Properties of Bulk Matter
      • Chapter–9: Mechanical Properties of Solids
      • Elastic behaviour, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shear modulus of rigidity, Poisson's ratio; elastic energy.
      • Chapter–10: Mechanical Properties of Fluids
      • Pressure due to a fluid column; Pascal's law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid pressure.
      • Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity.Bernoulli's theorem and its applications.
      • Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise.
      • Chapter–11: Thermal Properties of Matter
      • Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity.
      • Heat transfer-conduction, convection and radiation, thermal conductivity, Qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law, Green house effect.
    • Unit VIII: Thermodynamics
      • Chapter–12: Thermodynamics
      • Thermal equilibrium and definition of temperature (zeroth law of thermodynamics).Heat, work and internal energy. First law of thermodynamics. Isothermal and adiabatic processes.
      • Second law of thermodynamics: reversible and irreversible processes. Heat engine and refrigerator.
      • Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases
      • Chapter–13: Kinetic Theory
      • Equation of state of a perfect gas, work done in compressing a gas.
      • Kinetic theory of gases - assumptions, concept of pressure. Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.
      • Unit X: Oscillations and Waves
      • Chapter–14: Oscillations
      • Periodic motion - time period, frequency, displacement as a function of time. Periodic functions.
      • Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M. Kinetic and potential energies; simple pendulum derivation of expression for its time period.
      • Free, forced and damped oscillations (qualitative ideas only), resonance.
      • Chapter–15: Waves
      • Wave motion. Transverse and longitudinal waves, speed of wave motion. 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, Doppler effect.

Mathematics Class 11 Syllabus

Exam Structure

Unit

Topic

Marks

I.

Sets and Functions

29

II.

Algebra

37

III.

Coordinate Geometry

13

IV.

Calculus

06

V.

Mathematical Reasoning

03

VI.

Statistics and Probability

12

Total

100

  • Unit-I: Sets and Functions
    • 1. Sets
    • Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement Sets. Practical Problems based on sets.
    • 2. Relations & Functions
    • Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (upto R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.
    • 3. Trigonometric Functions
    • Positive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of unit circle. Truth of the sin2x+cos2 x=1, for all x. Signs of trigonometric functions. Domain and range of trignometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple application. Deducing identities like the following:
    • Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
  • Unit-II: Algebra
    • 1. Principle of Mathematical Induction
    • Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.
    • 2. Complex Numbers and Quadratic Equations
    • Need for complex numbers, especially √1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Square root of a complex number.
    • 3. Linear Inequalities
    • Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical solution of system of linear inequalities in two variables.

      4. Permutations and Combinations
    • Fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.
    • 5. Binomial Theorem
    • History, statement and proof of the binomial theorem for positive integral indices. Pascal's triangle, General and middle term in binomial expansion, simple applications.
    • 6. Sequence and Series
    • Sequence and Series. Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:
  • Unit-III: Coordinate Geometry
    • 1. Straight Lines
    • Brief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.
    • 2. Conic Sections
    • Sections of a cone: circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
    • 3. Introduction to Three–dimensional Geometry
    • Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
  • Unit-IV: Calculus
    • 1. Limits and Derivatives
    • Derivative introduced as rate of change both as that of distance function and geometrically.
    • Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions.
  • Unit-V: Mathematical Reasoning
    • 1. Mathematical Reasoning
    • Mathematically acceptable statements. Connecting words/ phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.
  • Unit-VI: Statistics and Probability
    • 1. Statistics
    • Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.
    • 2. Probability
    • Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, 'not', 'and' and 'or' events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of 'not', 'and' and 'or' events.

Best Reference Books For Class 11

It is well known that NCERT books are the best and enough for CBSE Class 11 exam preparation. But then again, simply mugging the NCERT books few weeks and days is not going to suffice. You should be thorough with your NCERT books at least 6 months before your exams. This will give you ample time to consider using other reference books.

Listed below are the best reference books for Class 11 CBSE, subject wise:

Subject

Best Reference Books For Class 11

Publication / Author

English

CBSE Chapter Wise/Topic Wise Question Bank

Oswaal Publications

Math

Senior Secondary School Mathematics: for Class 11

RS Agarwal

Mathematics for Class 11

RD Sharma

Physics

Concepts of Physics

HC Verma

Chemistry

ABC of Chemistry

Modern Publications

Biology

ABC of Biology

Modern Publications


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