JKCET Syllabus
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JKCET Syllabus
JKCET Syllabus for PHYSICS
UNIT 1: PHYSICAL WORLD AND MEASUREMENT (Marks: 02)
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S I
units, Fundamental and derived units. Accuracy and precision of measuring
instruments, Errors in measurement, Significant figures. Dimensions of
Physical quantities, dimensional analysis and its applications.
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UNIT 2: KINEMATICS (Marks: 03)
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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 graph, position-time graphs, relations for
uniformly accelerated motion, (graphical treatment and calculus approach).
Scalar and Vector quantities, addition and Subtraction of vectors, general
Vector and notation, Relativen Velocity. Scalar and Vector products of two
vectors with properties, Unit Vector, Resolution of a Vector in plane
rectangular components, Motion in a plane, Projectile Motion.
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UNIT 3: LAWS OF MOTION (Marks: 02)
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Concept
of force and Inertia, Newton‘s First Law of motion; Momentum and Newton‘s
Second Law of motion, Impulse; Newton‘s Third Law of motion. Law of
conversation of linear momentum and its applications, Equilibrium of
concurrent forces. Friction, static and kinetic friction, laws of friction,
rolling friction. Dynamics of uniform circular motion: Centripetal force and
examples of circular motion (vehicle on level circular road, vehicle on
banked road.)
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UNIT 4: WORK, ENERGY AND POWER (Marks: 02)
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Concept
of scalar products of vectors, Work done by a constant force and variable
force; kinetic energy, work energy theorem, power. Potential energy,
Potential energy of spring, conservative forces, conservation of mechanical
energy (K.E. and P.E.), non-conservative forces; Elastic and inelastic
collisions in one and two dimensions.
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UNIT 5: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY (Marks:
02)
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Centre
of mass of a two-particle system, Centre of mass of a rigid body; Concepts of
vector product of vectors: moment of a force, torque, angular momentum,
conservation of angular momentum with some examples. Moment of inertia,
radius of gyration. Values of moment of inertia for simple geometric objects
(no derivation), statement of parallel and perpendicular axes theorems and
their applications. Rigid body rotation and equations of rotational motion.
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UNIT 6: GRAVITATION (Marks: 02)
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The universal
law of gravitation. Acceleration due to gravity and its variation with
altitude, depth and shape, Kepler’s laws of planetary motion. Gravitational
potential; gravitational potential energy. Escape velocity. Orbital velocity
of satellite. Geo-stationary satellites.
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UNIT 7: PROPERTIES OF BULK MATTER (Marks: 02)
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Elastic
behavior, Stress-strain relationship. Hooke‘s Law, Young‘s modulus, bulk
modulus, shear modulus of rigidity. Pressure due to a fluid column; Pascal‘s
law and its applications (hydraulic lift and hydraulic brakes) Viscosity,
Stokes‘ law, terminal velocity, streamline and turbulent flow, Reynolds
number. Bernoulli‘s theorem and its applications Surface energy and surface
tension, angle of contact, applications of surface tension – ideas to drops,
bubbles and capillary rise. Heat, temperature, thermal expansion; specific
heat, calorimetry; change of state-latent heat. Heat transfer-conduction,
convection and radiation, Newton‘s law of cooling.
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UNIT 8: THERMODYNAMICS (Marks: 02)
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Thermal
equilibrium and definition of temperature (zeroth law of thermodynamics),.
Heat work and internal energy. First law of thermodynamics. Second law of
thermodynamics: reversible and irreversible processes. Heat engines and
refrigerators (concept only)
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UNIT 9: BEHAVIOUR OF PERFECT GAS AND KINECTIC THEORY (Marks:
02)
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Equation
of state of a perfect gas, work done on compressing a gas. Kinectic theory of
gases – assumptions, concept of pressure. Kinectic energy and temperature:
rms speed of gas molecules; Degrees of freedom, Law of equipartition of
energy (Statement only) and applications to specific heat capacities of
gases; concept of Mean free path, Avagadro’s number.
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UNIT 10: OSCILLATIONS AND WAVES (Marks: 04)
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Periodic
motion – 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, resonance. Wave
motion. Longitudinal and transverse waves, speed of a wave. 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.
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UNIT 11: ELECTROSTATICS (Marks: 04)
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Electric
charges: Conservation of charge, Coulomb’s law-forces between two point
charges, forces between multiple charges; superposition principle and
continuous charge distribution. Electric field: Electric field due to a point
charge, Electric field lines, Electric dipole, Electric field due to a
dipole, Torque on a dipole in uniform electric field. Electric flux,
Statement of Gauss’s theorem and its applications to find field due to
infinitely long straight wire, uniformly charged infinite plane sheet and
uniformly charged thin spherical shell (field inside and outside). Electric
potential, electric potential due to a point charge, a dipole and system of
charges; Equipotential surfaces, Electrical potential energy of a system of
two point charges and of electric dipole in an electrostatic field.
Conductors and insulators, Dielectrics and electric polarization, capacitor
and capacitance, combination of capacitors in series and in parallel,
capacitance of parallel plate capacitor with and without dielectric medium
between the plates, Energy stored in a capacitor. Van de Graff generator.
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UNIT 12: CURRENT ELECTRICITY (Marks: 04)
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Electric
current, Drift velocity, Ohm’s law, Electrical resistance, V-I
characteristics (linear & non-linear), Electrical energy and power,
Electrical resistivity and conductivity, Carbon resistors, Colour code for
carbon resistors; Temperature dependence of resistance. Internal resistance
of a cell, potential difference and emf of a cell, combination of cells in
series and in parallel. Kirchhoff’s laws and their applications. Wheatstone
bridge, Metre bridge. Potentiometer – principle and its application to
measure the potential difference and for comparing e.m.f. of two cells;
measurement of internal resistance of a cell.
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UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM (Marks: 05)
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Biot
– Savart law and its application to current carrying circular loop. Ampere’s
law and its applications to infinitely long current carrying straight wire,
straight and toroidal solenoids. Force on moving charge in uniform magnetic
and electric fields. Cyclotron. Force on a current-carrying conductor in a
uniform magnetic field. Force between two parallel current-carrying
conductors-definition of ampere. Torque experienced by a current loop in
uniform magnetic field; Moving coil galvanometer, its current sensitivity and
conversion with examples. Current loop as a magnetic dipole and its magnetic
dipole moment, magnetic field lines; Earth’s magnetic field and magnetic
elements. Para-, dia- and ferro-magnetic substances with examples.
Electromagnets and factors affecting their strength, permanent magnets.
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UNIT 14: ELECTROMAGNETIC INDUCTION AND ALT. CURRENTS (Marks:
04)
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Electromagnetic
induction: Faraday’s law, induced emf and current; Lenz’s Law. Eddy currents.
Self and mutual inductance. Alternating currents, peak and rms value of
alternating current/voltage; reactance and impedance; LC oscillations
(qualitative treatment only) & LCR circuits series, resonance; power in
AC circuits, wattles current. AC generators and transformer.
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UNIT 15: ELECTROMAGNETIC WAVES (Marks: 02)
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Electromagnetic
waves and their characteristics. Transverse nature of electromagnetic waves.
Electromagnetic spectrum (radio waves, microwaves, infrared, visible,
ultraviolet, Xrays, gamma rays) including elementary facts about their uses.
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UNIT 16: OPTICS (Marks: 07)
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Ray
optics-Reflection of light, spherical mirrors, mirror formula, refraction of
light-Total internal reflection and its applications, Refraction at spherical
surfaces, lenses, thin lens formula, Lens-makers Formula, Magnification,
Power of a Lens. Combination of thin lenses in contact, Microscope and
Astronomical Telescope (reflecting and refracting) and their magnifying
powers. Wave optics: wave front and Huygens’ principle, reflection and
refraction of plane wave at a plane surface using wave fronts. Proofs of laws
of reflection and refraction using Huygen’s principle. Interferences, Young’s
double slit experiment and expression for fringe width, coherent sources and
sustained interference of light. Diffraction due to a single slit, width of
central maximum. Resolving power of microscopes and astronomical telescopes,
Polarisation, plane polarized light; Brewster’s law, uses of plane polarized
light and Polaroid’s.
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UNIT 17: DUAL NATURE OF MATTER AND RADIATION (Marks: 02)
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Dual
nature of radiation. Photoelectric effect, Hertz and Lenard’s observations;
Einstein’s photoelectric equation; particle nature of light. Matter
waves-wave nature of particle, de Broglie relation. Davission-Germer
experiment.
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UNIT 18: ATOMS AND NUCLEI (Marks: 03)
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Alpha-particle
scattering experiment; Rutherford’s model of atom; Bohr’s model of atom,
energy levels, hydrogen spectrum. Composition and size of nucleus, atomic
masses, isotopes, isobars; isotones. Radioactivity-alpha, beta and gamma
particles/rays and their properties; radioactive decay law. Mass-energy
relation, mass defect; binding energy per nucleon and its variation with mass
number, nuclear fission and fusion.
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UNIT 19: ELECTRONIC DEVICES (Marks: 04)
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Quantitative
ideas on Energy bands in solids, conductors, insulators and semiconductors.
Semiconductors; Semiconductor diode: I-V characteristics in forward and
reverse bias; diode as a rectifier; I-V characteristics of LED, photodiode,
solar cell and Zener diode; Zener diode as a voltage regulator. Junction
transistor and its action, characteristics of a transistor; transistor as an
amplifier (common emitter configuration) and oscillator. Logic gates (OR,
AND, NOT) concept of NAND and NOR gates. Transistor as a switch.
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UNIT 20: COMMUNICATION SYSTEM (Marks: 02)
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Basic
elements of communication system (block diagram only), Bandwidth of signals
(speech, TV and digital data); Bandwidth of Transmission medium, Propagation
of electromagnetic waves in the atmosphere, sky and space wave propagation.
Need for modulation: Production and detection of an amplitude modulated wave.
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JKCET Syllabus for CHEMISTRY
UNIT 1: CHEMICAL ARITHMETIC & ATOMIC STRUCTURE
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Laws
of chemical combination, Mole concept (numericals) Percentage composition,
Chemical reactions, Stoichiometry and calculations based on stoichiometry.
Atomic structure:- Bohr‘s model of Hydrogen atom, Quantum numbers, Pauli‘s
exclusion principle, Hund‘s rule and Aufbau principle. Heisenberg‘s
uncertainty principle, de-Broglie wave equation and its significance.
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UNIT 2: CHEMICAL EQUILIBRIUM
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Law
of mass action, Le-Chatelier‘s principle, and its application to physical and
chemical equilibria. Ionisation of weak electrolytes (Ostwald‘s dilution law)
Acids and bases: Acid base equilibria. Bronsted-Lowry and Lewis concept, of
acids and bases. Ionic product of water. pH and pOH scales, pKa & pKb
values, Solubility product, Buffer solutions Common ion effect, Hydrolysis of
salts
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UNIT 3: CHEMICAL KINETICS
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Rate
of chemical reaction, Average and instantaneous rate, Factors effecting rate
of reaction, Order and molecularity of reaction, Integrated rate equation and
Half-life period (for zero and first order) reaction, Activation energy and
Arrhenius equation.
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UNIT 4: SOLUTIONS
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Vapour
pressure, Raoult‘s law, Ideal and Non-ideal solutions, Colligative
properties. Determination of molecular mass of non-volatile solutes through
colligative properties. Abnormal molecular masses and Van‘t Hoff Factor.
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UNIT 5: CHEMICAL THERMODYNAMICS
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Energy
changes taking place during chemical reactions, Internal Energy and Enthalpy
changes, Enthalpy of combustion, Solution and Neutralization. Hess‘s Law
(Numerical problems) Laws of thermodynamics-first, second & third,
Concepts of Entropy and Free energy, Spontaneity of a chemical reaction and
Thermodynamic equilibrium.
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UNIT 6: REDOX REACTIONS AND ELECTROCHEMISTRY
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Dependence
of electrode and cell potential on concentration (Nernst Equation), Electrode
potential as a criteria for product formation in electrolysis. E.M.F. of
Galvanic cell, Relationship between free energy change and E.M.F. of a cell.
Definition and units of Equivalent, Molar and Specific conductivity.
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UNIT 7: SOLID STATE & STATES OF MATTER
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Boyle‘s
Law, Charle‘s law, Dalton‘s law of partial pressure, Graham‘s law of
diffusion of gases. Causes of deviation from ideal behaviour, ideal gas
equation and nature of ‗R‘, Vander Waal‘s equation, surface tension and
viscosity of liquids. Crystalline and amorphous solids, Crystal lattice,
Crystal types, Packing efficiency, calculation of density of unit cell,
Number of atoms per unit cell in a cubic cell. Co-ordination number,
Stoichiometric defects: Schottky, Frenkel and interstitial. Properties of
solids: Electrical, Magnetic & Dielectric.
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UNIT 8: SURFACE CHEMISTRY
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Freundlich
Adsorption isotherm, preparation of colloidal solutions by physical and
chemical method. Electrical properties (cataphoresis, electroosmosis,
coagulation and protective colloids) Homogeneous and Heterogeneous Catalysis.
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UNIT 9: PERIODIC PROPERTIES
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Classification
of elements as s, p, d, and f block elements. Variation of Ionization energy,
Electron affinity, Electronegativity, Atomic and Ionic radii along the period
and down the group in the periodic table.
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UNIT 10: CHEMICAL BONDING AND MOLECULAR STRUCTURE
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Types
of chemical bonds, Ionic & covalent bonds, Bond parameters, Quantum
theory of covalent bond, pi and sigma bonds, Hybridization involving s, p and
d-orbitals, Dipole moments and hydrogen bond. VSEPR: Shapes of simple
molecules ( H2O, NH3, SO2, CO2, PCl3, PCl5, CIF3, BF3, SF4, XeF2, XeF4 ).
Molecular orbital theory: Energy Levels and M.O. diagrams of H2, H2 + ,He2,
O2, O 1- 2,O2 2- & F2. Bond order and its significance.
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UNIT 11: CHEMISTRY OF REPRESENTATIVE ELEMENTS
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S and
P Block Elements: Electron configuration, Oxidation states and trends in
various properties like ionization energy, electron affinity, atomic radii,
electronegativity and diagonal relationship. Alkali metals: Hydration of ions,
action with ammonia, flame colouration, solubility of hydroxides, carbonates
and sulphates. Alkaline Earth Metals: Solubility of carbonates, hydroxides
and sulphates. Boron Family: Structure of halides, relative acid strength of
trihalides of boron. Carbon family: Hydrides and oxides. Nitrogen family:
Oxides of Nitrogen and Phosphorous, reducing nature, basic strength and
boiling points of their halides. Oxygen family: volatility, thermal
stability, acid character, reducing character and bond angles of their
hydrides, oxyacids of sulphur. Halogen family: Bond energy, colour and
oxidizing power, boiling point, acid strength and dipole moment, thermal
stability, reducing power of hydracids, relative acidity and oxidizing power
of oxyacids of halogens.
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UNIT 12: TRANSITION ELEMENTS INCLUDING LANTHANOIDES
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Electron
configuration, Oxidation states, Colour, and Magnetic properties. Oxides of
Vanadium, Chromium and Manganese Alloys of Copper, Silver and Iron.
Metallurgy of Iron, Copper and Zinc.
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UNIT 13: CO-ORDINATION CHEMISTRY
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Introduction,
Ligands, Co-ordination Number, IUPAC Nomenclature. Bonding theories:
Werner‘s, VBT and CFT. Isomerism in Co-ordination compounds (Ionization,
Linkage, Hydrate, Geometrical and Optical). Applications of Co-ordination complexes
in Biology, Medicine and Analytical Chemistry
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UNIT 14: NOMENCLATURE AND BASIC CONCEPTS IN ORGANIC CHEMISTRY
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Nomenclature
of organic compounds (monofunctional and polyfunctional groups),
inductive,eletromeric resonance and hyperconjugation effects, reaction
intermediates, carbocations, carbanions and free radicals with their general
stability order, types of organic reactions (addition, substitution,
elimination and redox reactions), aromaticity on the basis of Huckel rule.
Ortho, meta and para directing groups.
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UNIT 15: HYDROCARBONS
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Structural
isomerism in alkanes, alkenes, alkynes and arenes, stereoisomerism:
geometrical and optical isomerism, chirality, origin of chirality, specific
rotation, racemisation and resolution, conformations in ethane and
cyclohexane, relative configuration (D,L-Nomenclature), absolute (R and S
system of nomenclature).
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UNIT 16: ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-I
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Haloalkanes,
haloarenes, alcohols and phenols: General methods of preparation and
properties. Choloroform and Iodoform.
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UNIT 17: ORGANIC CHEMISTRY BASED ON FUNCTION GROUP-II
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Ethers,
Aldehydes, Ketones, Monocarboxylic acids: General methods of preparation and
properties. Derivatives of monocarboxylic acids like acid halides, acid
anhydrides acid amides and esters. Relative strength of carboxylic acids
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UNIT 18: ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-III
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Cyanides,
Isocyanides, Nitrocompounds and Amines: General methods of preparation and
properties. Relative basic character of amines.
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UNIT 19: MOLECULES OF LIFE
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Carbohydrates:
Definition, Classification, Mutarotation, Structure of Animo-acids, Peptides
and Proteins (Molish and ninhydrin tests). Classification and uses of
vitamins. Chemicals in medicine and health care, Dyes and drugs. Chemical
reactions in atmosphere, ozone depletion and its effects. Acid rain, Green
House effect & Global warming.
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UNIT 20: POLYMERS
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Introduction,
Classification, Methods of Polymerisation (Addition, Condensation, Free
Radical, Cationic & Anionic). Natural & Synthetic Polymers:
Polythene, Nylon, Polyster, Bakelite and Rubber. Biodegradable and
Non-Biodegradable Polymers.
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JKCET Syllabus for BIOLOGY
UNIT-1: DIVERSITY AND CLASSIFICATION OF PLANTS
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Systematics—need
and history; Salient features of two and five kingdom systems and their
merits and demerits; types of classifications (artificial, natural and
phylogenetic); General characters of algae, fungi, bryophytes, pteridophytes,
gymnosperms and angiosperms; Status of some acellular organisms like viruses
and viroids;; Lichens---basic characteristics. Botanical gardens and
herbarium.
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UNIT-2: MORPHOLOGY AND ANATOMY OF PLANTS
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Morphology
of root, stem and leaf and their modifications; types of inflorescence,
flower, fruit and seed. Description of Liliaceae, Fabaceae and Solanaceae.
Tissues and tissue system: Types of tissues (meristematic and permanent).
Anatomy of dicot and monocot root, stem and leaves; secondary growth.
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UNIT-3: PLANT PHYSIOLOGY
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Transport
in plants: Mechanisms of transport—diffusion, facilitated diffusion, passive
and active transport, antiport and symport. Plant water relations: Water
potential; osmosis; plasmolysis; imbibition; long distance transport of
water; apoplast, symplast pathways; ascent of sap; root pressure theory,
tanspirational pull theory and cohesiontension theory. Transpiration:
mechanism of opening and closing of stomata, guttation; phloem transport
(Mass Flow hypothesis), diffusion of gases. Mineral Nutrition: Essential
Minerals; macro and micro nutrients—their role and deficiency symptoms and
mineral toxicity. Mechanism of nutrient uptake by plants from soil.
Hydroponics. Nitrogen metabolism—nitrogen cycle, nitrogen fixation.
Photosynthesis: site of photosynthesis; various photosynthetic pigments;
mechanism of light reaction; photophosphorylation (cyclic and non-cyclic);
Dark reaction-fixation of carbon dioxide (C3 cycle, C4 cycle); factors
affecting photosynthesis; photorespiration. Respiration: Exchange of gases,
cellular respiration; glycolysis, Krebs cycle, Electron Transport System;
Aerobic and anaerobic respiration; respiratory quotient. Growth and
Development: Characteristics and phases of plant growth; growth curve;
differentiation, dedifferentiation and redifferentiation; plant growth
regulators-discovery, nature and physiological effects of auxins,
gibberellins, cytokinins, ethylene and abscisic acid. Photoperiodism and vernalisation.
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UNIT-4: REPRODUCTION IN FLOWERING PLANTS
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Modes
of reproduction in flowering plants (Vegetative, asexual, sexual and
micropropagation); development of male and female gametophytes;
Pollination—types, agencies and examples; in-breeding and out-breeding
devices, pollen-pistil interaction; double fertilization; post-fertilization
events; development of endosperm, embryo, seed and fruit; apomixis and
polyembryony—types and importance.
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UNIT-5: GENETICS
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Heredity
and variation (somatic and germinal); Mendel‘s laws of inheritance;
deviations from Mendelism; incomplete dominance; co-dominance; multiple
alleles; pleiotropy; Polygenic Inheritance; Chromosomal Theory of
Inheritance. Evidence for DNA as genetic material; structure of DNA and RNA;
DNA packaging; DNA replication; Protein synthesis—trancription, translation,
genetic code; gene expression and regulation (lac-operon).
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UNIT-6: ECOLOGY AND ENVIRONMENT
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Meaning
of ecology, community, niche. Population and ecological adaptations:
Characteristics of populations natality, fecundity & mortality, age
distribution; population interactions, competition, predation, parasitism and
mutualism. Ecosystems: Biotic and abiotic components; energy flow, nutrient
cycling (carbon and phosphorus), decomposition and primary productivity;
pyramids of number, biomass and energy; ecological succession types. Food
chain and food web. Biodiversity and its conservation: threats to biodiversity;
megabiodiversity countries and biodiversity hotspots; IUCN threat categories;
in situ and ex situ methods of biodiversity conservation. Environmental
issues: Causes and consequences of air and water pollution and their control;
solid waste management; agrochemicals and their effect; greenhouse effect and
global warming; stratospheric ozone layer depletion—causes and consequences.
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UNIT- 7: BIOLOGY AND HUMAN WELFARE
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Plant
breeding: Introduction, steps in plant breeding and application of plant
breeding; Biofortification, Tissue culture: Cellular totipotency; technique
and application of tissue culture Microbes in human welfare: Role of microbes
in food processing; industrial production; sewage treatment; energy
production (biogas); biopesticides and biofertilizers . Genetically Modified
Organisms (GMOs); Bt crops, biopiracy and patents.
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UNIT-8: DIVERSITY IN THE LIVING WORLD
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Characteristic
features of living organisms Salient features of different animal phyla
(non-chordates upto phylum level, chordates upto class level) National parks
of India with special reference to J&K State:- Dachigam National
Park,Hemis High altitude National park and Kishtwar High altitude National
park.
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UNIT-9: HISTOLOGY & MORPHOLOGY
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Animal
Tissues:- Epithelial, Connective, Muscular and Nervous. Elementary knowledge
on morphology & anatomy of Frog, Earthworm and Cockroach.
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UNIT-10: CELL-STRUCTURE & FUNCTION
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Modern
cell theory, Prokaryotic and eukaryotic cells, cell wall, cell membrane :-
structure & function (fluid mosaic model). Cell organelles (Plastids,
Mitochondria, Endoplasmic reticulum, Golgi bodies/ dictyosomes, Riobosomes,
Lysosomes, Nucleus, Vacuoles, Centrioles, cilia & Flagella) Cell
division: Cell cycle, Mitosis and Meiosis Bio molecules: Structure and
function of carbohydrates, proteins, lipids and nucleic acids. Primary and
secondary metabolites. Metabolism Enzymes: Types, properties functions and
factors controlling enzyme activity.
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UNIT-11: HUMAN PHYSIOLOGY
|
Alimentary
canal, digestion and absorption of food, disorders of digestive system
(jaundice, vomiting, diarrhea, constipation, indigestion etc.) Respiratory
organs, mechanism of breathing, respiratory volumes and capacities, transport
of gases (oxygen and carbon dioxide), disorders of respiratory system
(asthma, emphysema, fibrosis etc.) Circulatory system:- Blood & lymph and
their functions, blood groups, coagulation of blood, human heart, cardiac
cycle, ECG, double circulation, disorders of circulatory system.
(hypertension, coronary artery disease, angina, heart failure). Excretory
products and their elimination. Modes of Excretion; Ammonotelism, Ureotelism
and Uricotelism. Human excretory system, urine formation, functions of
tubules, mechanism of concentration of the filtrate, regulation of kidney
function, micturition, role of other organs in excretion (lungs, liver and
skin), haemodialysis and peritoneal dialysis, disorders of the excretory
system (kidney failure, glomerulonephritis, renal calculi) Types of movement
(amoeboid, ciliary and muscular), different types of muscles, structure of
contractile proteins (actin and myosin), mechanism of muscle contraction,
joints, disorders of muscular and skeletal system (Myasthenia gravis,
muscular dystrophy, tetany, arthritis, gout, osteoporosis) Human nervous
system, neuron as a structural and functional unit of nervous system,
generation and conduction of nerve impulse, transmission of impulses, reflex
action and reflex arc, structure and functioning of the sense organs (eye and
ear) Endocrine glands, Mechanism of hormone action, hormones of heart, kidney
and gastrointestinal tract.
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UNIT-12: REPRODUCTION
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Asexual
reproduction:- Characteristics and types of asexual reproduction (binary
fission, sporulation, budding, gemmules, fragmentation, regeneration). Human
reproduction:- male and female reproductive system, microscopic anatomy of
testis and ovary, spermatogenesis and oogenesis, menstrual cycle,
fertilization, embryo development upto blastocyst formation, implantation, pregnancy
and placenta formation, parturition and lactation Reproductive health:- need
for reproductive health, sexually transmitted diseases and their control and
prevention. Birth control :- its need and methods, contraception and medical
termination of pregnancy (MPT), amniocentesis, infertility and associated
reproductive technologies (IVF,ZIFT,GIFT).
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UNIT-13: GENETICS AND EVOLUTION
|
Sex
determination in humans, birds and honey bee. Inheritance pattern of
Mendelian disorders in humans (colour blindness, haemophilia, cystic
fibrosis, sickle- cell anaemia, phenylketonuria, thalesemia ) Chromosomal
disorders in humans:- Down‘s syndrome, Turner‘s syndrome and Klinefelter‘s
syndrome Genome and human genome project. DNA fingerprinting. Origin of life,
theories and evidences for evolution with special reference to Darwinian
theory, and Modern synthetic theory, Hardy-Weinberg principle, Adaptive
radiation. Origin and evolution of man.
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UNIT-14: BIOLOGY AND HUMAN WELFARE
|
Health
and Diseases:- basic concepts of immunology, vaccines, common diseases in
human beings (their causative agents, symptoms, prevention and control) with
reference to thyphoid, hepatitis, malaria, filariasis, bubonic plague,
ascariasis, common cold, amoebiasis and ring worm. Detailed account of
diseases like cancer and HIV/ AIDS. Insects and human welfare:- Silk, honey
and lac producing insects, their life- cycle and usefulness of their
products. Poultry and Diary Farming. Adolescence and drug and alcohol abuse
(effects of drug/ alcohol abuse, prevention and control.
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UNIT –15: BIOTECHNOLOGY AND ITS APPLICATIONS
|
Genetic
engineering (recombinant DNA technology), cloning. Biotechnological
production of human insulin, vaccines and growth hormone. Gene therapy.Bio
safety/ ethical issues regarding recombinant DNA technology.
|
JKCET Syllabus for MATHEMATICS
UNIT 1: SETS, RELATIONS AND FUNCTIONS
|
Sets
and their representation, finite and infinite sets, empty set subsets, subset
of real numbers especially intervals, power set, universal set. Venn diagram,
union and intersection of sets. Difference of sets, Compliment of a set.
Ordered pairs, Cartesian product of sets, number of elements in the Cartesian
product of two finite sets. Relations, Domain, co- domain and range of
relation, types of relations, reflexive, symmetric, transitive and
equivalence relations. Functions as special kind of relations from one set to
another, domain, co-domain and range of a function. One to one, onto
functions. Real valued functions of the real variable; constant, identity,
polynomial, rational, modulus, signum and the greatest integer functions with
their graphs. Sum, difference, product and quotients of functions.
Composition of functions, inverse of a function, binary operations.
|
UNIT 2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING
|
Complex
number: Conjugate of a complex number, modulus and amplitude (argument) of a
complex number, Argand‘s plane and polar representation of complex numbers,
algebraic properties of complex numbers. Fundamental theorem of algebra,
solution of Quadratic equation in the complex number system. Square root of a
complex number. Linear inequation: Algebraic solution of linear inequalities
in one variable and two variables. Linear programming: Introduction ,
definition of related terminology such as constraints, objective function,
optimization, different type of linear programming problem (L.P),
mathematical formulation of L.P problem, graphical method of solution for
problems in two variables, feasible and infeasible regions, feasible and
infeasible solutions, optimal feasible solutions.
|
UNIT 3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION &
BINOMIAL THEOREM
|
Sequence
and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term,
sum to n-terms of an A.P, Geometric progression (G.P) , Geometric Mean (G.M),
nth term, sum to n-terms and sum to infinity of a G.P. Relation between A.M
and G.M. Sum to n terms of . Permutation and combination: Fundamental
principle of counting, factorial n, permutations P(n,r) and combinations
C(n,r), simple applications. Binomial Theorem:. Binomial theorem for positive
integral power. general and middle terms in the Binomial expansion. Pascal‘s
triangle and simple applications.
|
UNIT 4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS
|
Positive
and negative angles, measuring angles in radians and in degrees, Conversion
from one measure to another. Definition of trigonometric functions with the
help of unit circle. Periodicity of Trigonometric functions. Basic
Trigonometric identities sin2 x+cos2 x=1 for all Sign of x etc. Trigonometric
functions and their graphs. Expressions for y)± y),cot(x ±y),tan(x ± y),cos(x ±sin(x
, sum and product formulae. Identities related to Sin2x, Cos2x, tan2x, Sin3x,
Cos3x, and tan3x. General and principal solutions of trigonometric equations
of the type Sin x= Sin a, Cos x= Cos a , Tan x= Tan a. Inverse trigonometric
functions, range, domain, principal value branches. Graphs of inverse
trigonometric functions, elementary properties of inverse trigonometric
functions
|
UNIT 5: MATRICES AND DETERMINANTS
|
Matrices,
concepts, notation, order, equality, types of matrices, Zero matrix,
transpose of matrix, Symmetric and skew symmetric matrices. Addition,
multiplication, scaler multiplication of matrices, simple properties of
addition, multiplication and scaler multiplication of matrices.
Non-commutativity of multiplication of matrices and existence of non-zero
matrices whose product is the zero matrix (order 2x2). Concept of elementary
row and column operation, Invertible matrices and uniqueness of inverse, if it
exists. (Matrices with real entries). Determinants of square matrix (upto 3x3
matrices) properties of determinants, minors, cofactors and applications of
determinants in finding area of a triangle. Adjoint and inverse of a square
matrix. Consistency, inconsistency and number of solutions of system of
linear equations by examples, solving system of linear equations in two or
three variables using inverse of a matrix.
|
UNIT 6: LIMIT, CONTINUITY AND DIFFERENTIATION
|
Concept
of limit of a function. Theorems on Limits, Evaluation of limits using
standard results x Sinx x 0 lim ® , x a x a n n -x
a - ® lim , Continuity of a function at a point.
Continuity of Sum, product and quotient of functions. Derivative: definition
of a derivative of a function, geometrical interpretation of the
derivative. Derivative of sum, difference, product and quotient of two
or more functions.Ø Derivative of algebraic and composite
functions.Ø Derivative of trigonometric and inverse trigonometric
functions.Ø Chain rule, derivative of implicit functions.Ø
Derivative of logarithmic and exponential functions.Ø Logarithmic
differentiation.Ø Derivative of functions expressed in parametric
forms.Ø Second order derivatives. Rolle‘s and Lagrange‘s Mean Value
Theorem and their geometrical interpretation and their simple
applications.Ø Application of Derivative: rate of change, increasing and
decreasing functions, tangents and normals, approximation, maxima and minima
(first derivative and second derivative test). Simple problems.
|
UNIT 7: INTEGRATION AND DIFFERENTIAL EQUATIONS
|
Integration
as inverse process of differentiation. Integration of variety of functions by
Substitution, by parts, by partial fractions. Simple integrals of the type:
Definite integrals as a Limit of a sum. Fundamental Theorem of calculus.
Basic properties of definite integrals Evaluation of definite integrals.
Application of integrals: Application in finding the area under simple
curves, especially lines. Areas of circles, parabolas and ellipses (in
standard form) Area under the curve y= Sinx, y= Cosx, area between the above
two curves. Differential Equations: Definition, order and degree of a
differential equation. General and particular solutions of a differential
equation. Formation of a differential equation whose general solution is
given. Solution of differentiation equation by method of separation of
variables. Solution of Homogeneous differential equation of first order and
first degree.
|
UNIT 8: STRAIGHT LINES AND CONIC SECTIONS
|
Distance
between two points, section, slope of a line, angle between two lines,
various forms of equations of lines, point-slope form, intercept form, two
point form, and normal form. General equation of a line, distance of a point
from a line. Conic Section: Sections of a cone, circles, parabola, ellipse,
hyperbola, a point, a straight line and a pair of intersecting lines as a
degenerated case of conic section. Standard equation of a circle, parabola,
ellipse, and hyperbola and their simple properties.
|
UNIT 9: STATISTICS AND PROBABILITY
|
STATISTICS
Measure of dispersion, mean, deviation, variance and standard deviation of
ungrouped/ grouped data. Analysis of frequency distribution with equal means
but different variances. PROBABILITY : Random Experiment: outcome, sample
spaces. Events: Mutually exclusive and exhaustive events. Axiomatic (set
theoretic) probability, probability of an event, probability of ―Not‖ and ―Or‖ events.
Multiplication theorem on probability, conditional probability, independent
events, total probability, Baye‘s theorem, random variable and its
probability, distribution, mean and variance of a random variable. Repeated
independent (Bernouli) trials and Binomial distribution.
|
UNIT 10: VECTORS AND THREE DIMENSIONAL GEOMETRY
|
Vectors
and scalars, magnitude and direction of a vector Direction Cosines and ratios
of a vector. Types of vector, equal, zero, unit, parallel and collinear
vectors. Position vector of a point , negative of a vector, components of a
vector, addition of vectors, Scalar multiplication, position vector of a
point dividing a line segment in a given ratio. Scalar (dot) product of
vectors, projection of a vector on a line. Vector (cross) product of vectors,
Scalar triple product. Coordinate axes and Coordinate planes in three
dimensions of a point, distance between two points and sectional formula.
STRAIGHT LINES AND SPACE Direction cosines and direction ratios of a line
joining two points. Cartesian and vector equation of a line ( in various
forms), coplanar and skew-lines, shortest distance between two lines. PLANES
Cartesian and vector equation of a plane( in various forms). Distance of a
point from a plane. Angle between: i. Two lines ii. Two planes. iii. A line
and a plane
|
JKCET Exam Pattern
Paper
|
Subjects
|
No. Of
Questions
|
Paper
A
|
Physics,
Chemistry
|
120
|
Paper
B
|
Biology
|
60
|
Paper
C
|
Mathematics
|
60
|
For Physics:
TOPICS
|
(MARKS)
|
PHYSICAL
WORLD AND MEASUREMENT
|
2
|
KINEMATICS
|
3
|
LAWS
OF MOTION
|
2
|
WORK,
ENERGY AND POWER
|
2
|
MOTION
OF SYSTEM OF PARTICLES AND RIGID BODY
|
2
|
GRAVITATION
|
2
|
PROPERTIES
OF BULK MATTER
|
2
|
THERMODYNAMICS
|
2
|
BEHAVIOUR
OF PERFECT GAS AND KINETIC THEORY
|
2
|
COMMUNICATION
SYSTEM
|
2
|
OSCILLATIONS
AND WAVES
|
4
|
ELECTROSTATICS
|
4
|
CURRENT
ELECTRICITY
|
4
|
MAGNETIC
EFFECTS OF CURRENT AND MAGNETISM
|
5
|
ELECTROMAGNETIC
INDUCTION AND ALT. CURRENTS
|
4
|
ELECTROMAGNETIC
WAVES
|
2
|
OPTICS
|
7
|
DUAL
NATURE OF MATTER AND RADIATION
|
2
|
ATOMS
AND NUCLEI
|
3
|
ELECTRONIC
DEVICES
|
4
|
For Chemistry:
TOPICS
|
(MARKS)
|
CHEMICAL
ARITHMETIC AND ATOMIC STRUCTURE
|
3
|
CHEMICAL
EQUILIBRIUM
|
4
|
CHEMICAL
KINETICS
|
2
|
SOLUTIONS
|
2
|
CHEMICAL
THERMODYNAMICS
|
4
|
REDOX
REACTIONS AND ELECTROCHEMISTRY
|
3
|
SOLID
STATE AND STATES OF MATTER
|
4
|
SURFACE
CHEMISTRY
|
2
|
PERIODIC
PROPERTIES
|
2
|
POLYMERS
|
3
|
CHEMICAL
BONDING AND MOLECULAR STRUCTURE
|
4
|
CHEMISTRY
OF REPRESENTATIVE ELEMENTS
|
4
|
TRANSITION
ELEMENTS INCLUDING LANTHANOIDES
|
2
|
CO-ORDINATION
CHEMISTRY
|
4
|
NOMENCLATURE
AND BASIC CONCEPTS IN ORGANIC CHEMISTRY
|
3
|
HYDROCARBONS
|
3
|
ORGANIC
CHEMISTRY BASED ON FUNCTIONAL GROUP -1
|
2
|
ORGANIC
CHEMISTRY BASED ON FUNCTIONAL GROUP-2
|
3
|
ORGANIC
CHEMISTRY BASED ON FUNCTIONAL GROUP-3
|
3
|
MOLECULES
OF LIFE
|
3
|
For Mathematics:
Topics
|
Marks
|
SETS,
RELATIONS AND FUNCTIONS
|
6
|
COMPLEX
NUMBER, LINEAR EQUATION, LINEAR PROGRAMMING
|
6
|
INTEGRATION
AND DIFFERENTIAL EQUATION
|
7
|
STRAIGHT
LINES AND CONIC SECTIONS
|
5
|
STATISTICS
AND PROBABILITY
|
6
|
SEQUENCE
AND SERIES, PERMUTATION AND COMBINATION, BINOMIAL THEOREM
|
6
|
TRIGNOMETRIC
AND INVERSE TRIGNOMETRIC FUNCTIONS
|
6
|
MATRICES
AND DETERMINANTS
|
4
|
LIMIT,
CONTINUITY AND DIFFERENTIATION
|
8
|
VECTORS
AND 3-D GEOMETRY
|
6
|
Take a Look on Below Table
 left 5px no-repeat)
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