SUBJECT  SYLLABUS 

MATHEMATICS   Sets, Relations and Functions Sets and their representations, union, intersection, and complements of sets and their algebraic properties
 Complex numbers in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, modulus.
 Determinants and matrices of order two and three, properties of determinants.
 Quadratic equations in real and complex number system and their solutions. The Relation between roots and coefficients, nature of roots.
 The fundamental principle of counting: permutation as an arrangement and combination as selection, the meaning of P(n,r) and C(n,r).
 Binomial theorem and its Applications Binomial theorem for a positive integral index; general term and middle term.
 Arithmetic, geometric and harmonic progressions. Insertion of arithmetic, geometric and harmonic means between two given numbers.
 Differential Calculus Polynomials, rational, trigonometric, logarithmic and exponential functions. Inverse functions. Graphs of simple functions. Limits, continuity, differentiation of the sum, difference, product and quotient of two functions.
 Integral as an antiderivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum.
 Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.
 The Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability.

PHYSICS   Units for measurement, the system of units  S.I.
 Motion in one dimension and accelerated motionscalar and vector quantitiesNewton’s laws of motion  force and projectile motionuniform circular motion frictionlaws of friction.
 Gravitation, Mechanics of Solids and Fluids The universal law of gravitation, acceleration due to gravityvariation of ‘g’ with altitude, latitude, and depthgravitation potentialescape velocity and orbital velocity.
 Simple harmonic motion  equations of motion oscillations of springsimple pendulumfree, forced and damped oscillations resonance.
 Kinetic theory of gasespostulatespressure of a gas specific heat capacity  relation between Cp and Cv  first law of thermodynamics.
 Ray and Wave Optics and Magnetism.
 Coulomb’s inverse square lawdielectric constantelectric fieldelectric lines of forceelectric dipoleelectric potentialpotential differenceelectric fluxGauss theorem
 Capacitor capacitors in parallel.
 Atomic Physics and Relativity Atomic structureproperties of cathode rays and positive raysspecific charge of an electronatom model  Thomson atom modelRutherford atom modelBohr atom model  merits.
 Dual Nature of Matter and Nuclear Physics Matter waveswave nature of particles De Broglie wavelengthelectron microscope. Nuclear properties; radius, mass, binding energy, density, isotopes.
 SemiconductorsdopingtypesPN junction diode  biasingdiode as a Rectifier  transistors  transistor characteristicsamplifiergain feedback in amplifiers  logic gates basic logic gates  NOT, OR, AND, NOR.

CHEMISTRY 
 Matter and its nature, Dalton’s atomic theory; The concept of the atom, molecule, element, and compound; physical quantities and their measurements in chemistry, precision.
 Classification of matter into solid, liquid and gaseous states. Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea).
 Periodic Properties Modern periodic law and present form of the periodic table, s & p block elements, periodic trends in properties of elements, atomic and ionic radii, ionization enthalpy.
 Atomic Structure Discovery of subatomic particles (electron, proton, and neutron); Thomson and Rutherford atomic models and their limitations; nature of electromagnetic radiation, the photoelectric effect.
 Chemical Bonding and Molecular Structure Covalent Bonding: Concept of electronegativity, Fagan's rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules. Quantum mechanical approach to covalent bonding: Valence bond theory–Its important features.
 Chemical Energetics First law of thermodynamics, Energy changes during a chemical reaction, Internal energy and Enthalpy.
 Solutions Different methods for expressing the concentration of solutionMolality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult’s lawideal and non  ideal solutions, vapour pressurecomposition plots for an ideal.
 Meaning of equilibrium, the concept of dynamic equilibrium. Equilibria involving physical processes: Solidliquid, liquidgas, and solidgas equilibria, Henry’s law.
 Hydrocarbons Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions.
 Biomolecules Carbohydrates–Classification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosaccharides (sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen).

Comments