MATHEMATICS Syllabus

Unit I Algebra 14 Marks

Unit II Two dimensional Geometry 07 Marks

Unit III Trigonometry 09 Marks

Unit IV Determinants and Matrices 06 Marks

Unit V Vectors 06 Marks

Unit VI Three dimensional Geometry 07 Marks

Unit VII Boolean algebra, probability, limit and continuity of function 06 Marks

Unit VIII 07 Marks

1. Derivative of a function, Relation between continuity and differentia ability.

2. Derivative of sum, difference, product and quotient of two or more functions.

3. Derivative of composite, algebraic and trigonometric functions.

4. Derivative of inverse trigonometric functions, logarithmic functions and exponential functions.

5. Derivative of functions expressed in para metric form, chain rule, differentiation by substitution.

6. Applications of derivatives:- increasing and decreasing functions, equations of tangents and normal to a given curve at a given point, maxima and minima (absolute, local) (simple problems only).

7. Rolles Theorem, Lagranges Mean Value Theorem with simple applications.

8. Derivative of implicit functions, derivative of second order.

Unit IX 07 Marks

1. Integration as the inverse process of differentiation, Integration by substitution and by parts.

2. Evaluation of definite integrals

3. Properties of definite integrals

4. Application of integrals in finding the area bounded by a curve between two ordinates and x-axis (simple problems). Area between two curves. Order and degree of differential equation.

5. Solution of differential equations by method of variable separable. solution of linear differential equation of first order of type dy/dx + py = q where p and q are constants or functions of x alone, solution of second order differential equations d2y/dx2 = f(x).

Unit –X Elementary statistics and dynamics 06 Marks

BIOLOGY Syllabus

• BOTANY

Unit Ist : Diversity of Life, and Plant Classification: (6)

Unit II: Morphology of Plants and Genetics. (6)

Unit III: Reproduction, Development and growth of plants (8)

Unit IV: Physiology of Plants (9)

Unit V: Ecology environment and Biology in Human Welfare (8)

Unit VI: Taxonomy (06)

• ZOOLOGY

Unit VII: Morphology, Anatomy & Physiology (10)

Unit VIII: Cell Biology and Genetics (09)

Unit IX: Origin of Life and Evolution. (06)

Unit X: Environmental and Human Welfare (07)

PHYSICS SYLLABUS

1. Units and dimensions and their applications, vectors in two dimensions, unit vector, resolution of a vector, scalar and vector product of vectors, motion in straight line, equations of motion, speed, velocity, motion in two dimensions, projectile motion, circular motion, uniform and non uniform Motion, their graphical representation, bending of cyclist and banking of roads, force and inertia, conservation of linear momentum, rocket propulsion, equilibrium of concurrent forces, laws of friction, angle and coefficient of friction, inertial and non-inertial frames of reference, work, energy and power, collision in one and two dimensions, mass energy equivalence, conservation of energy. 12 Marks

2. Center of mass of two particle system, center of mass of a rigid body, motion of centre of mass, torque, angular momentum and its conservation, moment of inertia, parallel axis and perpendicular axis theorems, moment of inertia of a ring, rod bar, disc, sphere-rolling of cylinder without slipping, Universal law of gravitation, inertial and gravitational mass, variation of acceleration due to gravity with altitude/depth, latitude and rotation of earth, gravitational potential energy, orbital and escape velocity, geostationary satellite and Kepler’s laws. 06 Marks

3. Elastic properties, Hook.s law, co-efficient of elasticity, Poisson’s ratio, elastic energy, viscosity, strokes law and terminal velocity, Stream line flow, Reynold’s number, equation of continuity. Bernoulli’s equation, velocity of efflux, surface tension, surface energy, excess of pressure inside a liquid drop and a bubble, capillarity. Pascal’s law, Archimedes principal, floatation. 04 Marks

4. Kinetic theory of gases, pressure exerted by an ideal gas, kinetic interpretation of temperature, gas laws, first law of thermodynamics, Cp and Cv of ideal gas, thermodynamic process (reversible, irreversible, isothermal and adiabatic), Second law of thermodynamics, Carnot’s engine and efficiency of heat engine, thermal conductivity, Black body radiation, Stefen’s law, Wein’s law, Newton’s law of cooling. 04 Marks

5. Periodic motion, simple harmonic motion and its equation of motion, oscillations due to pendulum and spring, Kinetic energy and potential energy in S.H.M., examples of simple harmonic motion, forced oscillation and damped oscillations, wave motion, speed of a wave, principle of super position, reflection of waves, harmonic waves, standing waves in strings and pipes, laws of string, resonance tube, beats, Doppler effect. 05 Marks

6. Coulomb’s law, electric field due to a point change, field due to a dipole and behavior of dipole in a uniform electric field, Gauss’s law and its application to find field due to infinite line charge, plane sheet and uniformly charged thin spherical shell. Electric potential due to a point charge and a dipole, potential and electric fields, electric potential energy. Capacitance, parallel plate capacitor, series, parallel combination of capacitors, energy of charged capacitors. 07 Marks

7. Electric current, mobility and drift velocity, Ohm’s law, resistively and conductivity, resistance in series and parallel, Kirchhoff’s law and its applications, electric power, thermal effects of current, Joule’s law, EMF and terminal voltage of a cell, internal resistance of a cell, grouping of cells, thermoelectricity, Seebeck effect, Peltier effect. 05 Marks

8. Biot-Savart’s law, magnetic field due to current loop, solenoid and straight conductor. Ampere’s circuital law and its application to straight and toriodal solenoids, force on a moving charge in uniform magnetic field, Cyclotron, force between two parallel current carrying conductors, torque experienced by a current loop in a uniform magnetic field. Moving coil galvanometer and its conversion to ammeter and voltmeter. Terrestrial magnetism, magnetic elements at a place, Para-dia and ferro-magnetism, BH- curve. 06 Marks

9. Induced EMF, Faraday’s law, Lenz’s law of electromagnetic induction, self and mutual inductance, alternating current, impedance and reactance, circuits containing L, C and R, series resonant circuit. L-C oscillations, Power in AC circuit with L C and R in series. Transformers, AC generators, choke and wattless current, Q-factor. 05 Marks

10. Electromagnetic oscillation, electromagnetic waves, spectrum (elementary facts about their uses) and wave fronts and Huygen principle, interference, Young’s double slit experiment, diffraction due to single slit, polarization of light and Brewster’s law, refraction of light, lateral displacement, and dispersion of light due to prism, dispersive power, Raleigh’s, scattering law, total internal reflection, rainbow, types of spectra. 06 Marks

11. Photoelectric effect, Einstein’s photoelectric equation, photo cells, De-Broglie wave equation and its significance, size of nucleus , Bohr’s model of atom, energy quantization, hydrogen spectrum, X-ray emission, Moseley’s law, Maser (brief idea). Composition of nucleus, nuclear forces, mass defect and binding energy, mass energy relation. Radio-active decay law, half life and decay constant. Nuclear fission, Nuclear reactor and nuclear fusion. 07 Marks

12. Energy bands in solids, difference between metals, insulators and semiconductors using band theory, PN junction, diode as rectifier, photo-diode, Laser, LED, Junction transistors, transistors as an amplifier and oscillator, Zener diode as a voltage regulator, logic gates (OR, AND, NOT) and combination of gates - NAND & NOR. Modulation and detection (AM & FM), Sky and Space wave propagation, optical fiber. Digital and analog communication- Fax and Modem. 06 Marks

Chemistry Syllabus

Unit I: Chemical Arthematic, Atomic structure and Nuclear Chemistry.

Unit II: Chemical Equilibrium.

Unit III: Chemical Kinetics.

Unit IV: Solutions.

Unit VI: Redox Reactions and electrochemistry.

Unit VII: States if Matter.

Unit VIII: Surface chemistry.

Unit IX: Periodic Properties.

Unit X: Chemical Bonding and Molecular structure.

Unit XI: Chemistry of Representative Elements.

Unit XII: Transition metal including lanthanids.

Unit XIII Co-ordination chemistry and Organometallics.

Unit XIV: Chemistry of Metal’s.

Unit XV: Nomenclature and basic concepts in the organic chemistry.

Unit XVI: Hydrocarbons.

Unit XVII: Organic chemistry based on Functional group-I.

Unit XVIII: Organic chemistry based on function group-II.

Unit XIX: Organic chemistry based on functional group-III.

Unit XX Molecules of life.