ISC Class 11 Syllabus – MATHEMATICS
ISC Class 11 Physics Syllabus
ISC Class 11 Biology Syllabus
ISC Class 11 Syllabus – MATHEMATICS

1. Sets and Functions
 (i) Sets
 ii) Relations & Functions
 (iii) Trigonometry

2. Algebra
 (i) Principle of Mathematical Induction
 (ii) Complex Number
 (iii) Quadratic Equation
 (iv) Permutation & Combination

3. Coordinate Geometry
 (i) Straight Line
 (ii) Circles

4. Calculus
 (i) Limits & Derivatives

5. Statistics & Probability
 (i) Statistics
 (ii) Probability

6. Conic Section
 (i) Parabola
 (ii) Ellipse
 (iii) Hyperbola
 7. Introduction to threedimensional Geometry
 8. Mathematical Reasoning
 9. Statistics
 10. Correlation Analysis
 11. Index Numbers and Moving Averages
ISC Class 11 Syllabus – MATHEMATICS
S.No. 
UNIT 
TOTAL WEIGHTAGE 
Section A: 80 Marks 

1. 
Sets and Functions 
22 Marks 
2. 
Algebra 
34 Marks 
3. 
Coordinate Geometry 
8 Marks 
4. 
Calculus 
8 Marks 
5. 
Statistics & Probability 
8 Marks 
Section B: 20 Marks 

6. 
Conic Section 
12 Marks 
7. 
Introduction to threedimensional Geometry 
4 Marks 
8. 
Mathematical Reasoning 
4 Marks 
OR Section C: 20 Marks 

9. 
Statistics 
6 Marks 
10. 
Correlation Analysis 
6 Marks 
11. 
Index Numbers and Moving Averages 
8 Marks 
Total 
100 Marks 
ISC Class 11 Physics Syllabus
 Students studying in ICSE class 11 should know the entire syllabus of each and every subject before they start preparing for their examination. Knowing the ICSE class 11 physics syllabus will help the students to prepare a exam preparation schedule. This paper is divided in two parts.
 Part I – (20 marks) : Part I consist of testing knowledge, compulsory short answer questions, application and skills relating to elementary/fundamental aspects of the entire syllabus.
 Part II – (50 marks) : Part II is divided into three sections: section A, section B, and section C. Section A will be comprised of 6 questions out of these 6 questions students have to answer any 4 of their own choice, and each question will be of 7 marks. In section B there will be 3 question, each carrying 6 marks, out of these 3 questions students have to answer any 2 of their own choice. There will be 3 questions in section C, each carrying 5 marks, out of these 3 questions students have to answer any 2 of their own choice. Therefore candidates are expected to answer maximum 8 questions in part II.

Section A
 1.Role of Physics
 (i) Scope of Physics
 (ii) Role of Physics in technology
 (iii) Impact on society

2.Units
 (i) SI units. Fundamental and Derived Units
 (ii) Accuracy and errors in measurement, least count of measuring instruments.
 (iii) Significant figures and order of accuracy with reference to measuring instruments. Powers of 10 and order of magnitude.

3.Dimensions
 (i) Dimensional formula of physical constants and physical quantities like h, g etc.
 (ii) Dimensional equation and its use to check correctness of a formula, to find the relation between physical quantities, to find the dimension of a physical quantity or constant; limitations of dimensional analysis.

4.Vectors, Scalar Quantities and Elementary Calculus
 (i) General Vectors and notation, position and displacement vector.
 (ii) Vectors in one dimensions, equality of vectors and null vector. Vector operations like , addition of vectors, subtraction of vectors and multiplication of vectors including use of unit vectors. Laws of vectors : parallelogram law and triangle law of vector addition.
 (iii) Components and resolution of like vectors in a plane, which includes rectangular components, scalar (dot) product and product.
 (iv) Elementary Calculus: integration and differentiation as required for physics in classes XI and XII. There will be no direct question from this subunit in the examination.

5.Dynamics
 (i) Cases of uniform velocity, equations of uniformly accelerated motion and applications including motion under gravity and motion along a smooth inclined plane.
 (ii) Relative Velocity
 (iii) Projectile Motion : Various terms in projectile motion, equation of trajectory, calculating equations for maximum height, velocity time of flight.
 (iv) Newton’s laws of motion and simple applications. Elementary ideas on internal and uniformly accelerated frames of reference. Conservative and nonconservative forces. COnservation of linear momentum, impulse.
 (v) Concurrent forces, work done by constant and variable force.
 (vi) Energy, conservation of energy, power, elastic and inelastic collisions in one and two dimensions.

6.Friction
 (i) Friction in solids,static, sliding, rolling.
 (ii) Laws of friction. Coefficient of friction. Ways to minimize friction.
 Laws of friction: Two laws of friction, two laws of kinetic friction, coefficient of friction.

7.Circular and Rotational Motion
 (i) Uniform circular motion, centripetal acceleration and force, motion on banked track and on a level, point mass at the end of a light inextensible string moving in a
 (i) horizontal circle, (ii) vertical circle and conical pendulum.
 (ii) Centre of mass, moment of inertia: rectangular rod; disc; ring; sphere.
 (iii) Perpendicular axis theorem and parallel axis theorem; radius of gyration.
 (iv) Angular momentum and torque, relation moment of inertia and torque. Relation between moment of inertia and angular momentum. Conservation of angular momentum and applications. Comparisons of linear and rotational motions.

8.Gravitation
 (i) Newton’s law of universal gravitation, gravitational acceleration on surface of the earth (g), gravitational constant (G).
 (ii) Relation between g and G; difference in gravitational acceleration below and above the surface of the earth.
 (iii) Gravitational field, its range,potential, potential energy and intensity.
 (iv) Escape velocity (with special reference to the earth and the moon ), orbital velocity and period of a satellite in a circular orbit.
 (v) Geostationary satellites – uses of communication satellites.
 (vi) Kepler’s law of planetary motion.

9.Fluids
 (i) Pressure in a fluid, Pascal’s law and its applications, buoyancy.
 (ii) Equation of continuity of fluid flow and its application, buoyancy, Bernoulli’s principle.
 (iii) Reynolds number. Streamline and turbulent flow.
 (iv) Viscous drag; Newton’s formula for viscosity.
 (v) Stoke’s law, terminal velocity of a sphere falling through a fluid or a hollow rigid sphere rising to the surface of a fluid.
 SECTION B

10.Properties of Matter – Temperature
 (i) Properties of matter; Solids; elasticity in solids, Hooke’s law, Young’s modulus determination and its determination, bulk modulus and modulus of rigidity, work done in stretching a wire, poisson’s ratio.
 Liquids: drops and bubbles, surface tension, angle of contact, work done in stretching a surface and surface energy, capillary rise, measurement of surface tension by capillary
 rise method.
 (ii) Gases: Kinetic theory of gases, postulates molecular speeds and derivation, ideal gas equation. No numerical problems from gas laws)
 (iii) Temperature: Kinetic interpretation of temperature, absolute temperature. Law of equipartition of energy. Law of equipartition of energy (only theory).
 (iv) Zeroth law of thermodynamics and Thermal equilibrium.
 11.Internal Energy
 (i) First law of thermodynamics
 (ii) Isothermal and adiabatic changes in a perfect gas described in terms of curves for PV = constant and PV = constant. Relation between joule and calorie.
 (iii) work done in adiabatic and isothermal expansion; principal molar heat capacities. Relation between Cp and Cv (Cp – Cv ).
 (iv) Second law of thermodynamics, Carnot cycle. Some practical applications.
 (v) Thermal conductivity: coefficient of thermal conductivity, Use of good and poor conductors.
 (vi) Thermal Radiation: nature and properties of thermal radiation, qualitative effects of nature of surface on energy absorbed or emitted by it. Definition of black body and black body radiation. Stefan’s law, determining the surface temperature of the sun or a star by treating it as a black body. Wien’s displacement law, distribution of energy in the spectrum of blackbody radiation. Newton’s law of cooling.
 SECTION C

12.Oscillations
 (i) Simple harmonic motion (SHM)
 (ii) Expressions for velocity acceleration and displacement
 (iii) Characteristics of (SHM) simple harmonic motion
 (iv) Relation between uniform circular motion and simple harmonic motion.
 (v) Potential Energy and Kinetic Energy at a point in simple harmonic motion.
 (vi) Derivation of time period of simple harmonic motion of a simple pendulum, mass on a spring.
 (vii) Free, forced and damped oscillations.

13.Waves
 (i) Transverse waves and longitudinal waves, relation between wavelength, speed and frequency. Expression of displacement in wave motion. Graphical representation of harmonic wave, characteristics of harmonic waves, amplitude and intensity.
 (ii) Sound as a wave motion, Newton’s formula for the speed of sound and Laplace’s correction. Difference in the speed of light due to changes in temperature, pressure and humidity. Speed of sound in different mediums like : in liquids and in solids.
 (iii) Superposition of waves (standing waves, beats and interference) progressive and stationary waves.
 (iv) Laws of vibrations of stretched strings.
 (v) Modes of vibrations of strings and air columns; resonance.
 (vi) Doppler Effect for Sound.
ISC Class 11 Biology Syllabus
 ISC Class 11 Biology Syllabus includes:

1. Diversity of Life(i)Taxonomy and Phylogeny: Three Domains of Life, Taxonomical Hierarchies, Binomial Nomenclature.
(ii) Fivekingdom classification: Salient features, characteristics and examples.
(iii)Morphology and anatomy of different systems of cockroach (digestive, respiratory, circulatory, excretory, nervous and reproductive). 
2. Plant Physiology(i) Mineral nutrition: Macronutrients and micronutrients (role and deficiency symptoms); criteria for essentiality of elements, hydroponics; nitrogen nutrition in plants.
(ii)Plant growth: Phases of growth, growth rate, measurement of growth, factors affecting growth, role of growth regulators, seed dormancy and germination, apical dominance, senescence and abscission.
(iii)Photo morphogenesis in plants.  3. Multicellularity: Structure and Functions of Plants and Animals(i)Plant Tissues: Types of plant tissues, classification, structure and function of tissues.
(ii)Animal Tissues: epithelial; connective; muscular; nervous (location, structure and function).
(iii)Nutrition (human): Calorific value of carbohydrates, proteins and fats, Organs of digestive system, digestive process and disorders of the digestive system.
(iv)Respiration in humans: Organs of respiratory system, breathing mechanism, pulmonary gas exchange, transport of respiratory gases, pulmonary air volumes and lung capacities, disorders of the respiratory system.
(v)Circulation: Open and closed vascular systems, structure of human heart, cardiac cycle, systemic and pulmonary circulation, portal system, arterial blood pressure, origin and conduction of heart beat, blood vessels, and lymphatic system. ABO groups, coagulation of blood, disorders of the Circulatory system.
(vi)Excretion: Structure of human kidney, structure of nephron, role of skin and lungs in excretion, physiology of urine formation, counter current system; functions of the kidney; homeostasis, disorders of the excretory system.
(vii)Endocrine System in humans: Hormones of pituitary, pineal, thyroid, parathyroid, pancreas, adrenal glands and gonads; mechanism of hormone action; effect of hypo secretion and hyper secretion, feedback mechanism.
(viii)Nervous System in humans: Central, autonomic and peripheral, structure of brain and spinal cord, reflex action, transmission of nerve impulse, saltatory conduction; sense organs (eye and ear). Receptors (mechanoreceptor, chemoreceptor, photoreceptor and thermo receptors).
(ix)Locomotion: Joints, structure of skeletal muscle, sliding filament theory of muscle contraction, red and white muscles, summation, tetanus and rigor mortis. Disorders of muscular and skeletal system.

4. Units of Life(i)Biomolecules: Classification and functions of carbohydrates, proteins, lipids and nucleic acids.
(ii)Enzymes: General properties, classification, mechanism of enzyme action, factors affecting enzyme activity.
(iii)Cell membranes: Fluid mosaic model, membrane transport, passive and active transport, exocytosis and endocytosis. Facilitated diffusion.
(iv)Cell structure: Structure and functions of nucleus, mitochondria, plastids, endoplasmic reticulum, Golgi complex, lysosomes, ribosomes, microfilaments, microtubules, cilia, flagella and centrioles, cell wall, vacuoles and cell inclusions. Prokaryotic cell and eukaryotic cell – a comparison.
(v)Cellular respiration: Aerobic and anaerobic, fermentation, glycolysis, Krebs’ cycle, oxidative phosphorylation and respiratory quotient. Amphibolic pathway.
(vi)Cell reproduction: Cell cycle, mitosis and meiosis. 
5. Organisms and Environment(i)Ecosystem: Biotic and abiotic components, Productivity and decomposition, food chain, trophic levels, food webs, ecological pyramids, niche, biogeochemical cycles.
(ii)Pollution: Air, water and soil pollution and their control. Greenhouse effect and ozone depletion.

1. Diversity of Life(i)Taxonomy and Phylogeny: Three Domains of Life, Taxonomical Hierarchies, Binomial Nomenclature.